University of Miskolc
Faculty of Earth Science and Engineering
Petroleum and Natural Gas Institute
Feasibility analysis and process
simulation of high CO2 content gas
mixture dehydration using glycols for
pipeline transportation
Thesis
Author:
Dániel Kelemen
Petroleum Engineering MSc Student
Instructor:
László Kis
Assistant lecturer
Field Advisor:
Róbert Bíró
Chief Engineer (Production Engineering, MOL Hungary Plc.)
Miskolc, May 7, 2021
MISKOLCI EGYETEM
Műszaki Földtudományi Kar
Kőolaj és Földgáz Intézet
UNIVERSITY OF MISKOLC
Faculty of Earth Science & Engineering
Institute of Petroleum and Natural Gas H3515 Miskolc, Egyetemváros, HUNGARY
Tel: (36) 46 565 078
www.kfgi.uni-miskolc.hu
Master Thesis
Project Assignment
For
Mr. Dániel Kelemen
MSc students in petroleum engineering
Title of Thesis:
Feasibility analysis and process simulation of high CO2 content gas mixture dehydration
using glycols for pipeline transportation
Tasks:
1. Create a comprehensive literature survey encompassing the investigation of the
relevant properties of CO2.
2. Detail and compare the different glycols used to remove water from hydrocarbon
gases and from CO2.
3. Investigate the different types of pipeline transport of CO2.
4. Create a model for every relevant investigated method in Aspen HYSYS.
5. Compare the different process models, carry out a case study to quantify the
differences between the different approaches.
6. Carry out an economical calculation to support the selection of the best water
removal technology.
Instructor: László KIS, assistant lecturer
Field Advisor: Róbert BÍRÓ, Chief Engineer (Production Engineering, MOL Hungary
Plc.)
Zoltán Turzó, PhD
Head of Institute
Miskolc, 2020. June 25.
Proof Sheet for thesis submission for Petroleum Engineering MSc students
Name of student: Daniel Kelemen Neptune code: EHOQSY
Title of Thesis: Feasibility analysis and process simulation of high CO2 content gas mixture dehydration using glycols for pipeline transportation
Declaration of Originality I hereby certify that I am the sole author of this thesis and that no part of this thesis has been published or submitted for publication. I certify that, to the best of my knowledge, my thesis does not infringe upon anyone’s copyright nor violate any proprietary rights and that any ideas, techniques, quotations, or any other material from the work of other people included in my thesis, published or otherwise, are fully acknowledged in accordance with standard referencing practices. 6th May 2021
Signature of the student
Statement of the Department Advisor1
Undersigned László KIS agree/ do not agree to the submission of this Thesis.
6th May 2021
Signature of
Department Advisor
Statement of the Industry Consultant2
Undersigned Róbert BÍRÓ agree/ do not agree to the submission of this Thesis.
6th May 2021
Signature of
Industry Consultant The thesis has been submitted: Date: 7th May 2021
Administrator of Petroleum and Natural Gas Institute
1 Thesis can be submitted regardless of the consultant’s consent. 2 If the student has no Industry Consultant delete paragraph as appropriate.
This Proof Sheet with the required signatures must made part of the Thesis on a page just after the Project
Assignment sheet.
ACKNOWLEDGEMENTS
First of all, I would like to thank my advisor, Róbert Bíró, for his professional
guidance, constant support through this work.
Equally I would like to express my appreciation to University of Miskolc and
the Petroleum and Natural Gas Institute for given me the opportunity of study
and preparing my thesis.
Special thanks to MOL Hungary Plc. for their help and supports that provided
to me, also for supporting this work with the most important data and software
usage.
Last but not least, I would like to thank you my friends and family. Without
their constant encouragement this work would not be possible.
Table of Content
List of Figures ....................................................................................................................... i
List of Tables ....................................................................................................................... iii
Nomenclature ...................................................................................................................... iv
Abbreviations ...................................................................................................................... vi
1. Introduction .................................................................................................................. 1
2. Theoretical Background .............................................................................................. 2
2.1. Fundamentals of Carbon Dioxide ....................................................................... 2
2.2. Thermophysical Properties of Carbon Dioxide ................................................. 4
2.3. Gas Hydrates ......................................................................................................... 9
2.4. Equations of State ............................................................................................... 16
2.5. Water Removal Processes .................................................................................. 19
2.6. Transportation .................................................................................................... 22
3. Case Study ................................................................................................................... 33
3.1. Model Building Principles .................................................................................. 34
3.2. Pressure Boosting and Cooling .......................................................................... 35
3.3. Case 1.1. – Dehydration with Glycol Technology ............................................ 38
3.4. Transportation of CO2 by pipeline .................................................................... 54
3.5. Case 1.2 – Inhibitor Injection to the Wet Stream ............................................ 58
3.6. Case 1.3 – No Dehydration nor Inhibition ........................................................ 60
3.7. Case 2. – Emitting the Carbon to the Atmosphere .......................................... 61
3.8. Economic Evaluation Sub-Cases ....................................................................... 63
4. Conclusion and Discussion ........................................................................................ 65
5. References ................................................................................................................... 67
Appendix A – Final Configuration of TEG Unit ........................................................ 70
Appendix B – Cost of Materials .................................................................................... 72
Appendix C – Additional Graphs ................................................................................. 73
i
List of Figures
Figure 1 Density of CO2 ....................................................................................................... 4
Figure 2 Viscosity of CO2 .................................................................................................... 5
Figure 3 Heat capacity of CO2 – tight interval ..................................................................... 6
Figure 4 Water content of CO2 ............................................................................................. 7
Figure 5 Pressure – Temperature diagram of CO2................................................................ 8
Figure 6 Effect of acid gases on hydrate formation temperature (CH4-CO2 and CH4-H2S
binary systems) .................................................................................................................... 10
Figure 7 Effect of acid gases on hydrate formation temperature of sweet natural gases ... 11
Figure 8 Typical dehydrator unit ........................................................................................ 20
Figure 9 Modified Beggs & Brill flow regime map ........................................................... 26
Figure 10 Simplified flowsheet .......................................................................................... 33
Figure 11 Pressure boosting (3 stages) ............................................................................... 35
Figure 12 Propane-based mechanical refrigeration unit ..................................................... 37
Figure 13 Cooling duty vs quantity of propane .................................................................. 37
Figure 14 Dehydrator unit .................................................................................................. 39
Figure 15 Water dew point vs contractor temperature ....................................................... 40
Figure 16 Absorber performance at lean TEG concentration of 98.50 wt% ...................... 41
Figure 17 Absorber performance at lean TEG concentration of 99.00 wt% ...................... 41
Figure 18 Remaining water content vs contractor temperature (TEG) .............................. 42
Figure 19 TEG loss vs contractor temperature ................................................................... 43
Figure 20 TEG mass fraction vs mass flow ........................................................................ 43
Figure 21 Remaining water content vs strip gas quantity (TEG) ....................................... 44
Figure 22 TEG mass fraction vs strip gas quantity ............................................................ 45
Figure 23 Reboiler duty vs TEG mass flow ....................................................................... 45
Figure 24 TEG mass fraction vs reboiler temperature with different strip gas quantities .. 46
Figure 25 Absorber performance at lean TEG concentration of 99.05 wt% ...................... 46
Figure 26 Dehydrator unit without heat exchanger ............................................................ 47
Figure 27 Cooling duty vs quantity of propane (relative) .................................................. 48
Figure 28 Effect of heat exchanger on reboiler duty (TEG) ............................................... 48
Figure 29 Remaining water content vs contractor temperature .......................................... 49
Figure 30 Glycol loss vs contractor temperature ................................................................ 49
Figure 31 Glycol mass fraction vs mass flow ..................................................................... 50
ii
Figure 32 Glycol mass fraction vs strip gas quantity ......................................................... 51
Figure 33 CO2 loss vs mass fraction of glycol ................................................................... 51
Figure 34 Number transfer unit conversion ........................................................................ 52
Figure 35 Height transfer unit conversion .......................................................................... 53
Figure 36 4th stage compression and transportation pipeline ............................................. 54
Figure 37 Process of pipeline sizing ................................................................................... 55
Figure 38 Hydrate formation conditions............................................................................. 58
Figure 39 Cost of sub-cases ................................................................................................ 64
Figure 40 Density of CO2 – high resolution ....................................................................... 73
Figure 41 Viscosity of CO2 – high resolution .................................................................... 73
Figure 42 Heat capacity of CO2 – wide interval ................................................................. 74
Figure 43 Mass enthalpy of CO2 ........................................................................................ 74
Figure 44 Mass entropy of CO2 .......................................................................................... 75
Figure 45 Pressure – Temperature diagram of gas mixture ................................................ 75
Figure 46 Water content of gas mixture (low temperature) ............................................... 76
Figure 47 Water content of gas mixture (high temperature) .............................................. 76
Figure 48 Reboiler duty vs strip gas quantity (relative) ..................................................... 77
Figure 49 Reboiler duty vs strip gas temperature (relative) ............................................... 77
Figure 50 Remaining water content vs contractor temperature (DEG) .............................. 78
Figure 51 DEG mass fraction vs strip gas quantity ............................................................ 78
Figure 52 Remaining water content vs strip gas quantity (DEG) ....................................... 79
Figure 53 DEG mass fraction vs mass flow ....................................................................... 79
Figure 54 Reboiler duty vs DEG mass flow ....................................................................... 80
Figure 55 DEG mass fraction vs reboiler temperature with different strip gas quantities . 80
Figure 56 Absorber performance at lean DEG concentration of 98.85 wt% ...................... 81
Figure 57 Remaining water content vs contractor temperature (TREG) ............................ 81
Figure 58 TREG mass fraction vs mass flow ..................................................................... 82
Figure 59 Remaining water content vs strip gas quantity (TREG) .................................... 82
Figure 60 TREG mass fraction vs strip gas quantity .......................................................... 83
Figure 61 TREG mass fraction vs reboiler temperature with different strip gas quantities 83
Figure 62 Absorber performance at lean TREG concentration of 97.85 wt% ................... 84
Figure 63 Glycol viscosity – wide interval ......................................................................... 84
Figure 64 Glycol viscosity – tight interval ......................................................................... 85
Figure 65 EU ETS allowance historical prices and forecast .............................................. 85
iii
List of Tables
Table 1 Fugacity relationships ............................................................................................ 12
Table 2 Physical parameters of glycols .............................................................................. 21
Table 3 Beggs & Brill flow regime boundary conditions ................................................... 27
Table 4 Horizontal liquid holdup calculation formulae ...................................................... 27
Table 5 β calculation formulae ........................................................................................... 28
Table 6 Composition of the input gas ................................................................................. 33
Table 7 Initial parameters of the input gas.......................................................................... 33
Table 8 Sub-cases ............................................................................................................... 34
Table 9 Pressure boosting parameters ................................................................................ 36
Table 10 MRU parameters .................................................................................................. 37
Table 11 ‘C’ values for maximum velocity calculation...................................................... 56
Table 12 Pipeline parameters – dehydrated gas .................................................................. 56
Table 13 Safety factors ....................................................................................................... 57
Table 14 Wall thickness parameters – dehydrated gas ....................................................... 57
Table 15 Inhibitor requirement for dense liquid phase ....................................................... 59
Table 16 Pipe data – not dehydrated gas ............................................................................ 60
Table 17 Determination of CO2 emission ........................................................................... 62
Table 18 CAPEX, OPEX, total costs and break-even allowance prices of the sub-cases .. 64
Table 19 TEG unit parameters ............................................................................................ 70
Table 20 Fixed costs ........................................................................................................... 72
Table 21 Specific costs ....................................................................................................... 72
Table 22 EU ETS allowance cost ....................................................................................... 72
iv
Nomenclature
A – area
a – attraction force between molecules
B(θ) – inclination factor
b – volume occupied by molecules
bara – absolute pressure
barg – gauge pressure
C – factor for contractor sizing
Cm – Langmuir constant
c0 – corrosion allowance (including
erosion)
c1 – negative tolerance
c2 – thinning allowance
D – diameter
d – depression of hydrate freezing point
e – wall thickness
F – design stress
Fr – Froude Number
f – friction factor
G – Gibbs energy
g – gravitational acceleration constant
(9.81 m/s2)
H – Henry’s constant
Hth – heat transfer coefficient
h – height
ID – inner diameter
K – vapor-liquid equilibrium constant
k – thermal conductivity
L – length
M – molar mass
m – mass
m – mass flow
Nvl – liquid velocity number
n – mole
p – pressure
OD – outer diameter
r – radius
q – heat transfer rate
R – universal gas constant (8.314J
molK)
Rth – thermal resistance
Re – Reynolds Number
ReH t – minimum specified value of upper
yield strength at calculation
temperature
Rp0.2 t – minimum 0.2% of proof strength
Rm – tensile strength at calculation
temperature
T – temperature
Ta – absolute temperature
V – volume
Vm – molar volume of the gas
v – velocity
vsl – superficial velocity
U – overall heat transfer coefficient
X – mass fraction in the liquid phase
x – mole fraction in the liquid phase
Y – mass fraction in the vapor phase
y – mole fraction in the vapor phase
Z – compressibility factor
Zb – depth of cover to centerline of pipe
z – joint coefficient
v
Greek symbols
α – binary interaction constant
β – coefficient in Beggs & Brill method
γ – activity coefficient
δ – correction factor
ϵ – relative roughness
εL – horizontal liquid holdup
εL(θ) – inclined liquid holdup
ϴ – fractional occupancy of guest
molecule
κ – heat capacity ratio
λ – volume factor
μ – dynamic viscosity
νm – number of cavities type m per water
molecule
ξ – chemical potential
ρ – density
σ – gas/oil interfacial tension
φ – fugacity
ω – acentric factor
Subscripts / Superscripts
a – analysis
amb – ambient
ap – additional packing
as – additional allow space
c – critical
calc – calculation
el – electrical
F – fluid
G – gas
H – hydrate
I – inhibitor
L – liquid
M – mixture
MT – empty hydrate lattice
ns – no-slip
ord – ordered
r – pseudo-reduced
th – thermal
tp – two-phase
V – vapor
W – water
vi
Abbreviations
CS – Carbon Steel
DEG – Diethylene Glycol
EG – Ethylene Glycol
EGR – Enhanced Gas Recovery
EOR – Enhanced Oil Recovery
EoS – Equation of State
GHG – Greenhouse Gas
GPA – Gas Processors Association
GSU – Gas Sweetening Unit
HC – Hydrocarbon
HTU – Height Transfer Unit
LNG – Liquified Natural Gas
MRU – Mechanical Refrigeration Unit
NGL – Natural Gas Liquid
NTU – Number Transfer Unit
ppmv – part per million in volume basis
PR – Peng-Robinson Equation of State
SRK – Soave-Redlich-Kwong Equation of State
STDm3 – GPA standard m3, volume of 1 mol gas at 101 325 Pa and 15 °C
TEG – Triethylene Glycol
thEUR – thousand euros
TREG – Tetraethylene Glycol
VLE – Vapor-liquid Equilibrium
1
1. Introduction
As the World’s energy demand is more and more increasing the production must follow
the tendency. In order to get energy (electricity and heat) today’s most common process is
to burn fossil fuels (coal, oil and gas). [1] [2] The products are energy and exhaust gases e.g.
water vapor, carbon dioxide (CO2), carbon monoxide (CO), nitrogen oxides (NOx) etc. The
physical and chemical properties make carbon dioxide a versatile substance, an important
raw material, on the other hand a contaminant in the atmosphere.
The sources – power plants, factories etc. – and the utilization points – chemical facilities,
oil and gas fields, agricultural facilities etc. – are rarely found close to each other, transport
may be required. For long distance transportation of gases, pipelines are the best practice.
With water, CO2 forms weak acid (carbonic acid, H2CO3), which harms the equipment.
In order to avoid the degradation, one can use different – active or passive – methods.
For high flowrates, usage of chemical inhibitors is not economical. Coating can protect the
pipelines, but not the pressure boosting and other equipment. Stainless steel can withstand
the corrosion, however using these materials can increase the cost significantly. By removing
the water from the mixture, thus eliminating one of the key components, one can get rid of
several problems: corrosion, chance of hydrate formation and liquid droplets in the
compressor. Then, the dry carbon dioxide can be transported and utilized safely. In addition,
total volume flow and transportation costs are reduced, storage efficiency is increased.
There are several methods in the industry for gas dehydration, but in most cases these
methods were engineered for natural gas mixtures, they are CO2 content sensitive. The most
fundamental method of gas processing – cold separation – cannot be used. It is not only
energy demanding, but the CO2 can freeze out, hydrate can form. Physical processes such as
molecule sieves, and some physical absorbents, like glycols or glycerin are not CO2 sensible.
The aim of this work is to investigate the possibilities of a glycol-based dehydration and
transportation system of a high CO2 content gas mixture. To compare the different available
technologies by modelling the operation of these units, using Aspen HYSYS® and methods
presented in open literature. Finally, to present – expenditure sensitive – suggestion for the
described system, treating a sour gas mixture leaving an existing – amine based – gas
sweetening unit (GSU) and transporting it to the utilization point, a hydrocarbon field for
enhanced oil recovery, enhanced gas recovery (EOR/EGR). The source of the gas mixture
and the reservoir are not in the scope of this work, the investigation of the GSU and the
reinjection are excluded from this work.
2
2. Theoretical Background
2.1. Fundamentals of Carbon Dioxide
Carbon dioxide (CO2) is the fully oxidized form of carbon, it is a colorless, non-
flammable gas. In low concentrations the gas is odorless; however, at sufficiently high
concentrations, it has sharp sour odor. Carbon dioxide is non-toxic, however can cause
asphyxia. It is heavier than dry air, it’s molecular weight is 44.01 g/mol, it has a specific
gravity of ~1.52. [3] At normal temperature, gaseous carbon dioxide is not reactive. Its
molecule is relatively stable and does not easily break down into simpler compounds.
It occurs naturally as a trace gas in Earth's atmosphere, currently the most abundant
greenhouse gas. Its role in the Earth’s heat balance is outstanding, but not fully understood
today (~20% of the greenhouse effect). [4]
Carbon dioxide was in the scope of the scientific interest for a long time, its physical
properties are extensively researched. In the XIX. century the carbon dioxide was mainly
used as a working fluid in refrigerators. Faraday successfully liquefied CO2 in 1823, thus
began the industrial development. Thilorier followed his work on large scale, in 1835
succeeded in carrying out extensive experiments on the expansion, vapor pressure, density,
and enthalpy changes of the liquid CO2 during evaporation. He was the first who could
produce solid carbon dioxide called “dry ice” as well. In 1884 Raydt established a facility to
produce liquid CO2, in 1889 the production of CO2 from flue gasses began in Berlin. [5]
In the XX. century the research turned to the supercritical and to the dense phase regions.
The ambition behind this change was the intended application of supercritical CO2 as a
cooling medium in nuclear power plants in the early 50’s. Furthermore, supercritical carbon
dioxide is proved to be a suitable solvent and an outstanding tool in enhanced oil recovery.
Today’s scientific interest focuses on the greenhouse effect of CO2 and the influence of
anthropogenic carbon on the carbon cycle. These topics are not fully understood yet. [7] [8]
Natural sources of CO2 include volcanoes, hot springs and geysers, and it is freed from
carbonate rocks by dissolution in water and acids. Carbon dioxide is water-soluble, it
naturally occurs in groundwater, rivers and lakes, ice caps, glaciers and brine. It is present
in deposits of petroleum and natural gas.
There are two main sources of carbon dioxide in the atmosphere, the carbon cycle and
human activity. The first one is a slow biogeochemical cycle which is a complex carbon
exchange process between the atmosphere, oceans, soil, rocks and the biosphere.
3
Atmospheric carbon can be reduced by living creatures. Plants and other photoautotrophs
(e.g. plankton or algae) use the energy of the Sun to produce carbohydrates from atmospheric
carbon dioxide and water through photosynthesis. With water, CO2 forms weak acid
(carbonic acid, H2CO3), that can dissolve rocks. Metal ions (mainly calcium, magnesium
and potassium) transported to the oceans, where combined with bicarbonate ions form
calcium carbonate, one of the most important ingredients of shell (through diagenesis it
becomes limestone). CO2 is emitted to the atmosphere by volcanos, or by living creatures
burning sugar to get energy. [9]
The anthropogenic carbon dioxide is the result of the human activity. Burning fossil fuel
– coal, oil and natural gas – to get electricity or heat; transportation; agriculture; animal
husbandry and industrial activities are all emitters. Deforestation has double effect on
atmospheric CO2 concentration, not only by reducing the CO2 removal potential, but
reducing the carbon containing biomass at the same time.
Several international conventions and protocols have been formulated to try to reduce
CO2 emission such as, the Intergovernmental Panel on Climate Change in 1988,
the UN Framework Convention on Climate Change in 1992, Kyoto Protocol in 1997,
the EU Emission Trading System in 2005 and the Paris Agreement in 2016. To date, there
is no worldwide agreement on these laws, and many countries and industries do not comply
with these conventions. In general, the anthropogenic CO2 emission can be controlled by
reducing energy intensity, limiting carbon intensity, or improving CO2 sequestration. [4]
Carbon dioxide is a versatile industrial material, used for example, as an inert gas in
welding and fire extinguishers; as a pressurizing gas in air guns; in petroleum recovery; as a
supercritical fluid solvent to replace organic solvents in decaffeination of coffee and
supercritical drying. It is added to drinking water and carbonated beverages including soda
or beer. Dry ice is used as a refrigerant and as an abrasive in dry-ice blasting. It is a feedstock
for fuel and chemical (fertilizers, plastics, and polymers) synthesis. The electronics industry
uses carbon dioxide in manufacturing applications, including semiconductor device
manufacturing, surface cleaning, and circuit board assembly. It is also used to purge,
pressurize and cool equipment. In water and soil treatment, carbon dioxide is safer to handle
than mineral acids for pH control. Carbon dioxide is used in healthcare as well. [4] [10]
Transport of any substance is more economical in liquid form if the required conditions
are reasonable from engineering point of view (e.g. LNG). For long range transport on land
the pipeline is the most cost-efficient way. CO2 is transported in liquid form or more often
in its dense phase, however in some cases gaseous form is more economical. [6]
4
2.2. Thermophysical Properties of Carbon Dioxide
Thermophysical properties are the governing factors of every reaction of the substance.
Knowledge of these properties is essential to understand its physical and chemical processes.
The principles of thermodynamics are widely applicable in correlating and predicting the
properties of mixtures. The properties of greatest interest are density, viscosity and heat
capacity of gases and liquids; heat of vaporization; and the effects of pressure on the
enthalpies of compressible fluids. Enthalpy and entropy charts of pure substances and
mixtures enable prediction of temperature change when gases are expanding or being
compressed. [6]
Heat capacity, enthalpy, and entropy are the important thermodynamic parameters of CO2
mixtures, because they affect the heat transfer and energy consumption of compression and
purification processes. Density and viscosity are important for transportation calculations,
as they have significant effect on pressure drop. [11]
2.2.1. Density, Viscosity and Heat Capacity
Figure 1 – 3 show the density, viscosity and heat capacity of CO2, enthalpy and entropy
graphs can be found in Appendix C. These graphs were generated with the property table
tool of Aspen HYSYS®.
Figure 1 Density of CO2 Own edit
5
Density and viscosity show similar behavior with pressure and temperature. Below the
critical point, more significant change at lower pressures are observable, as the CO2 changes
from gas to liquid phase. This phenomenon presented by the 0 °C isothermal lines.
Figure 2 Viscosity of CO2 Own edit
In the vicinity of the critical point (20 °C and 40 °C isothermals) a small change in
pressure have high impact on the given property. Figure 40 and 41 show the density and
viscosity with higher resolution in the vicinity of the critical point. On these graphs the two-
phase region can be seen more accurately as well.
The temperature increment reduces the effect of pressure on density and viscosity.
Above the critical temperature, as the distance between the system parameters and the
critical point increases, the effect of pressure even less significant. Furthermore, as the
temperature increases the difference between the parameters belonging to the isothermal
lines reduces. It is because the fact, that the substance change phase from gas to supercritical
phase. This trend is true in case of heat capacity, entropy and enthalpy as well.
Heat capacity on the other hand does not follow this behavior. It has a maximum point at
the critical point, but similarly to density and viscosity, as the temperature increases the
effect of pressure become less significant. This can be explained with the phase change from
dense liquid to supercritical phase. If the temperature is above the critical, this change will
not occur.
6
Figure 3 Heat capacity of CO2 – tight interval Own edit
2.2.2. Water Content
Correct determination of water content of mixtures is essential when one designs
dehydration systems (particularly TEG systems). To meet extremely low water dewpoint
specifications, it is necessary to determine the water content in equilibrium with a hydrate.
There are several methods to determine the water content of a pure gas or gas mixture.
One should keep in mind that these correlations are valid only in certain ranges of
temperature, pressure and composition. Correlations such as McKetta & Wehe and Olds,
et.al are applicable only for lean, sweet natural gasses. Even the Wichert & Wichert method
is limited to 50 H2S equivalent mol% (~71 mol% of CO2, if there is no H2S in the mixture).
The H2S equivalent mol% can be obtained by multiplying the CO2 mol% by 0.70 and adding
the initial H2S mol% to it.
mol%H2S(equiv) = 0.7mol%CO2 +mol%H2S(initial) (1)
The saturated water content of a gas depends on pressure, temperature, and composition.
The effect of composition increases with pressure. Acid gas components – carbon dioxide
and hydrogen sulfide – increase the solubility of water in natural gas due to the attraction of
water for these molecules. The equilibrium water content of an acid gas mixture varies
significantly with pressure, temperature and mixture composition. [11]
7
Figure 4 Water content of CO2 Source: [11]
Figure 4 shows the water content of pure CO2, compared to methane at different
temperatures. At low pressure, the water content of CO2 decreases. At higher pressures the
water content increases with increasing pressure, as density and attraction of water of CO2
increases as well. At the vicinity of the critical point (31.04 °C, 73.83 barg) the
thermophysical properties of carbon dioxide changes significantly with small change in
pressure or temperature. Thus, the water content shows significant changes as well. 31.1 °C
and 50 °C isothermals represent this effect. [11]
From Figure 4 one can observe that, the saturated water content of pure CO2 significantly
higher, than the water content of the sweet natural gas. Furthermore, a small amount of acid
gas does not have a strong effect on the water content. However, low concentration of
methane can significantly reduce the water content of CO2. [11]
2.2.3. CO2 in Different Phases
As mentioned above, the research on carbon dioxide has a long history, most of its
physical properties are well known. In order to understand these changes,
the pressure-temperature (p-T) diagram (Figure 5), the temperature-entropy (T-s) diagram
and the pressure-enthalpy (p-H) diagram (Figure 43) are the best tools.
Phase diagrams, especially the p-T diagram have different form in case of a pure
substance, a binary system or a multicomponent system. A mixture’s p-T diagram is called
the phase envelope diagram. In the envelope there is multiphase system, outside the envelope
only a single phase can exist.
8
The lines in the p-T diagram represent conditions where two phases coexist and are the
boundaries for single phase regions. All three lines meet at the triple point. The vaporization
curve ends at the critical point, which corresponds to the highest pressure and highest
temperature at which pure chemical species can exist in vapor-liquid equilibrium. [6]
The pressure – temperature diagram is the simplest phase diagram of a pure substance.
This diagram shows the pressure and temperature boundaries of the different phases. The
lines (equilibrium curves) represent the phase boundaries, the conditions where two phases
(solid-gas, gas-liquid and solid-liquid) are coexist, the phase transitions occur along these
lines. It does not provide any information about volume properties. On a pressure-volume
(p-V) diagram these boundaries become areas, i.e. regions where two phases coexist.
Figure 5 Pressure – Temperature diagram of CO2 Based on: [12]
Below the triple point (-56.57 °C, 5.16 barg) liquid carbon dioxide cannot exist. The gas
freezes, the solid CO2 evaporates without liquid phase (sublimates). At the triple point the
three phases are in equilibrium. Even a little change in temperature or pressure disturbs the
balance; freezing, melting, solidification, sublimation, evaporation and condensation can be
observed simultaneously.
The critical point is the end point of an equilibrium curve. Substances have more critical
points. From these, the gas-liquid critical point (31.04 °C, 73.83 barg) was first discovered;
this point is the most investigated. In the vicinity of the critical point, the physical properties
of the phases change dramatically, with both phases becoming ever more similar.
At the critical point the phase boundary disappears. Above the critical pressure and
9
temperature, a state of matter exists that is continuously connected with (can be transformed
without phase transition into) both the liquid and the gaseous state, it is called supercritical
fluid. The region above the critical pressure, but below the critical temperature is called
dense or dense liquid phase.
In general, most Equation of State display different behavior around the critical point.
It is understandable, since the formation of the supercritical phase is alike to a phase
transition, with the generated phase bearing mixed characteristics of liquid and gaseous
phases, e.g. the material has similar density to the liquid phase, but similar viscosity to the
gas phase. The essence of the phenomena is that the difference in the density of the liquid
and gas phases decreases to that extent that it becomes equal. High above the critical point
the functions are steady, as is the supercritical phase itself. However, in the vicinity of the
critical point the phase bears unsteady characteristic: most of the state equations displays
sharp changes as a response for a relatively small change in the temperature or pressure.
In dense or dense liquid region there is a continuous progression from gas to liquid,
without a distinct phase change. In this region the density of carbon dioxide increases with
decreasing temperature. Today’s pipelines are operated in this region. [13]
2.3. Gas Hydrates
Clathrate hydrate or gas hydrate is a solid, “ice-like”, white, flammable material.
A physical combination of water and other small molecules, there is no chemical bond
between the particles. Their formation in gas and/ or NGL systems can plug pipelines,
equipment, and instruments, restricting or interrupting flow.
There are three recognized crystalline structures for such hydrates. In all cases water
molecules build the lattice and hydrocarbons, N2, CO2 and H2S occupy the cavities.
Smaller molecules (CH4, C2H6, CO2, H2S) stabilize a body-centered cubic called
Structure I. Larger molecules (C3H8, i-C4H10, n-C4H10) form a diamond-lattice called
Structure II. Normal paraffin molecules larger than n-C4H10 do not form Structure I and II
hydrates as they are too large to stabilize the lattice. However, some iso-paraffins and cyclo-
alkanes larger than pentane, are known to form Structure H hydrates.
Gas composition determines structure type. Mixed gases will typically form Structure II.
Limiting hydrate numbers (ratio of water molecules to molecules of included gaseous
component) are calculated using the size of the gas molecules and the size of the cavities in
H2O lattice. [14]
10
From a practical point of view, the structure type does not affect the appearance,
properties, or problems caused by the hydrate. It does, however, have a significant effect on
the pressure and temperature at which hydrates form. Structure II hydrates are more stable
than Structure I. This is the reasons why gases containing propane and isobutane will form
hydrates at higher temperatures than similar gas mixtures without these components. [11]
2.3.1. Formation of Hydrates
Gas hydrates form at relatively high pressure and low temperature. In the nature these
conditions can be found in environments such as deep-water continental margins and
under the permafrost of arctic regions. Gas hydrates can form anywhere in a pipeline or
process stream, but they are particularly likely to form downstream of orifices or valves due
to Joule-Thomson expansion effects. [15]
At a given pressure, pure methane forms hydrates at the lowest temperature. Adding
ethane through butane, hydrogen sulfide, or carbon dioxide raises the formation temperature
significantly. However, nitrogen will lower the hydrate formation temperature of the
mixture. Figure 6 and 7 show the effect of CO2 and H2S on hydrate formation temperature
in binary and multicomponent systems.
Figure 6 Effect of acid gases on hydrate formation temperature (CH4-CO2 and CH4-H2S
binary systems) Own edit
The presence of H2S in multicomponent mixture or in a CH4-H2S binary system results
in a substantially higher hydrate formation temperature at a given pressure. CO2 in general,
has smaller impact. In a methane - carbon dioxide binary system with the increasing CO2
content the hydrate formation temperature increases as well, however in a natural gas
mixture it slightly reduces the hydrate formation temperature. [15]
11
Figure 7 Effect of acid gases on hydrate formation temperature of sweet natural gases Own edit
2.3.2. Hydrate Prediction Methods
Prediction of hydrate formation conditions considered significant; the literature of this
topic is extensive. A common point of prediction models that, they are based on the ratio of
hydrate formation components. If the conditions – pressure, temperature and composition –
are favorable, and there is any water in the system, hydrate will form. The quantity of water
only effects the quantity of hydrate formed. There are several methods to predict hydrate
formation e.g. p-T or hydrate phase diagrams, three-phase equilibrium calculations,
distribution coefficient method etc.
Since the main drive factor was the natural gas industry, most of the researchers focused
on sweet natural gases – like Katz or McLeod & Campbell method. The Baille & Wichert
method deals with the effect of H2S only. These methods are not applicable for high CO2
content gases. [11]
2.3.2.1. Ng & Robinson Method
Ng & Robinson made their experiment with different mixture including hydrocarbons
– e.g. methane, isobutane etc. – and inert components – e.g. CO2 and N2. They modified the
Parrish-Prausnitz method, determined new Kihara parameters and changed the applied EoS
to Peng-Robinson. Their results can be classified as 2-Phase – where no aqueous water
present – and 3-Phase – where aqueous water is present – models. [16] [17] [18]
In the 2-Phase model there is no aqueous water in the system – vapor only, HC liquid
only, vapor-HC liquid, HC liquid-HC liquid and vapor-HC liquid-HC liquid systems.
12
The general fugacity equation of the 2-Phase model can be written as:
φWMT = φW,0
MT + (dφW
MT
dp)T
p (2)
Combining Eq. 2 with the linear regressed plots presented in [16], the fugacity of water
over the unfilled hydrate lattice as a function of temperature and pressure can be obtained.
Table 1 summarizes the relations. These relationships depend on hydrate structure but
independent of the composition. [16]
Table 1 Fugacity relationships
Hydrate type φW,0MT
dφWMT
dp
Type I 14.269 −5 393
Ta 0.00036Ta − 0.1025
Type II 18.062 −6 512
Ta 0.0001109Ta − 0.03192
After the fugacities are calculated the chemical potential difference can be determined as:
ΔξWH = ln(
φWRTa
fWMT
) (3)
The 3-Phase model can be applied if a free aqueous phase is present in the system
– aqueous only, vapor-aqueous, HC liquid-aqueous, and vapor-HC liquid-aqueous systems.
This model based on the van der Waals-Platteuw equation, which relates the thermodynamic
properties of the hydrate to their components as:
ΔξWH = ξW
MT − ξW = RTa∑νm ln (1 +∑Cmjφjj
)
m
(4)
Eq. 4 was not applicable if liquid water was in the system. Ng & Robinson modified the
expression as: [17]
ΔξWL = RTa [∏{1 + 3(αj − 1)yj
2 − 2(αj − 1)yj3}
j
] ×
[∑ νmm ln(1 + ∑ Cmjφjj ) + ln(xW)]
(5)
13
2.3.2.2. CSM Method
The Colorado School of Mines method is based on the SRK EoS and statistical
thermodynamics. This model is applicable for all possible scenarios – vapor-hydrate,
HC liquid-hydrate, aqueous-hydrate, vapor-HC liquid-hydrate, vapor-aqueous-hydrate, and
vapor-HC liquid-aqueous-hydrate systems.
It differs from most of the published method, as they use the van der Waals-Platteeuw
hydrate equation (Eq. 4) coupled with an EoS model. The standard state used in these
equations is a hypothetical empty hydrate lattice. The CSM model uses an alternative
derivation of these equations and a different standard state. It also uses a new aqueous phase
model tailored for the presence of water and mixed inhibitors. This model relies on the
equilibrium equivalence of the fugacity of water in the hydrate phase to that of water in the
fluid (aqueous, liquid hydrocarbon, or vapor) phase: [19] [20] [21]
φWH = φW
F (6)
For fugacity and chemical potential calculation they derived a different relation:
φWH = φW0e
ξWH −GW0RTa
(7)
and
ξWH = GW
MT + RTa∑νm ln (1 −∑Θimi
) + RTa ln(γWH )
m
(8)
2.3.3. Prevention of Hydrate Formation
The main hazard of hydrates, that they can reduce the effective cross-section area, thus
restricting the flow. This is a virtuous cycle, as the hydrate forms on the wall of the pipe the
cross-section area reduces, the velocity increases, the temperature reduces. This temperature
reduction enhances the hydrate formation, finally it can plug the pipeline. To make a plugged
pipeline operable again it takes time, heating and/ or chemicals. Even if the pipeline is not
plugged, the solid particles can harm the equipment – e.g. compressors, separators, etc.
Avoiding hydrate formation is a top priority in the hydrocarbon industry. Prevention has
several ways:
- Maintaining the system temperature above the hydrate formation temperature, by
heating or insulation
- Removing the water from the system, which solves the corrosion problems as well
- Injection of chemical inhibitors [11]
14
Dehydration and inhibition can be achieved by several ways, Chapter 2.3.3.1 and 2.5
detailing these topics. The most feasible and economical solution is different in every case,
the decision-making process should include an extensive investigation.
2.3.3.1. Inhibition
Heating, isolation or dehydration are not always feasible. In these cases, chemical
inhibition can be an effective method of preventing hydrate formation. This solution requires
minimal investment, the expenditures depend on the volumetric flow rate of the gas, on the
composition of gas mixture and the time interval of application. Chemical inhibition utilizes
injection of thermodynamic inhibitors (equilibrium inhibitors) or low dosage hydrate
inhibitors (LDHIs).
Thermodynamic inhibitors are the traditional inhibitors (e.g. glycols or methanol), they
lower the hydrate formation temperature. LDHIs are either kinetic hydrate inhibitors (KHIs)
or antiagglomerants (AAs). They do not lower the temperature of hydrate formation but do
diminish its effect. KHIs lower the rate of hydrate formation, which inhibits its development
for a defined duration. AAs allow the formation of hydrate crystals but restrict them to sub-
millimeter size. In the following only thermodynamic inhibitors are detailed.
2.3.3.1.1. Thermodynamic Inhibitors
Thermodynamic inhibitors should be injected to the process stream, where they can
combine with the condensed aqueous phase to lower the hydrate formation temperature at a
given pressure. With simple separation, the water with the inhibitor can be removed from
the process stream and after regeneration the inhibitor can be reused.
Beside methanol, ethylene glycol, diethylene glycol, and triethylene glycol have been
used for hydrate inhibition. The most popular is ethylene glycol because of its lower cost,
lower viscosity, and lower solubility in liquid hydrocarbons. DEG and TEG used in
dehydration rather than inhibition. Hydrate inhibition with methanol or EG is widely used.
The choice of the inhibitor used is influenced by several factors. The advantages of
methanol are the followings: it costs less than EG; requires lower concentrations in the
aqueous phase; applicable at very low temperatures; has lower viscosity than EG; during
regeneration, contaminants in the water phase leave with the water, not with the methanol;
can be transported in vapor phase. The disadvantages are: higher inhibitor losses; more
difficult to recover methanol from the aqueous phase; more toxic than EG; more flammable
than EG (has a lower flash point).
15
Advantages of EG are: very low solubility losses to the hydrocarbon phases; easier to
regenerate from water phase; less toxic and less flammable than methanol; can also provide
corrosion inhibition for “top of the line corrosion” in pipelines. The disadvantages are:
higher concentrations required in the aqueous phase; higher viscosity makes physical
separation from hydrocarbon liquid phase more difficult; transported in liquid phase, not
very effective in removing hydrates from downstream of the injection point; during
regeneration, contaminants in the water phase accumulate in the EG phase, requiring special
regeneration designs.
2.3.3.1.2. Determination of Required Inhibitor Injection
The required depression of freezing point can be calculated by Eq. 9, where KH empirical
constant is 1 297 for ethylene glycol and methanol.
d =KHXI
MI(1 − XI) (9)
Rearranging Eq. 9 to the minimum inhibitor concentration in the free water phase can be
approximated as:
XI =dMI
KH + dMI (10)
Eq. 9 and 10 should not be used beyond 20 wt% for methanol and 50 wt% for glycols.
For methanol concentrations up to about 50 wt%, Eq. 11 provides better accuracy.
d = −72 ln(xW) (11)
Eq. 12 and 13 can be used to convert between mass and mole percent.
mol%I =
wt%I
MI
(wt%I
MI +100 − wt%I
Mw)100 (12)
wt%I =mol%IMI
mol%IMI +MW(100 − mol%I)100 (13)
Once the required inhibitor concentration has been calculated, the mass of lean inhibitor
solution required in the water phase may be calculated from Eq. 14.
mI =XrichmW
Xlean − Xrich (14)
The amount of inhibitor injected must be sufficient to prevent freezing of the water phase,
and has to cover the vaporization and solubility losses of the inhibitor as well. For methanol,
the vapor pressure is sufficiently high, a significant quantity of inhibitor will be lost to the
vapor phase. [11]
16
2.4. Equations of State
Equation of State (EoS) is a thermodynamic equation relating state variables which
describe the state of matter under a given set of physical conditions, such as pressure, volume
and temperature (PVT), or internal energy. Equations of State can also describe solids,
including the transition of solids from one crystalline state to another.
In a practical context, Equations of State are instrumental for PVT calculations in process
engineering problems, such as petroleum gas/ liquid equilibrium calculations. A successful
PVT model based on a fitted EoS can be helpful to determine the state of the flow regime,
the parameters for handling the reservoir fluids, and pipe sizing.
The most famous EoS is the Ideal Gas Law or General Gas Equation:
pV = nRTa (15)
It was first stated by Benoit Paul Émile Clapeyron in 1834. It assumes that the gas
molecules are perfect spheres, they are not taking up space, the collisions are perfectly
inelastic – there is no change in kinetic energy –, there is no attraction or repulsion between
the molecules. This model is roughly accurate for weakly polar gases at low pressures and
moderate temperatures but becomes increasingly inaccurate at higher pressures and lower
temperatures and fails to predict condensation from a gas to a liquid.
In the engineering practice, for short calculations with gases a modified gas law
(Engineering Gas Law or Real Gas Law) is generally used.
pV = ZnRTa (16)
The ‘Z’ compressibility or gas deviation factor is an empirical, pressure, temperature and
quality dependent constant. It describes the deviation of a real gas from ideal gas behavior.
It is simply defined as the ratio of the molar volume of a gas to the molar volume of an ideal
gas at the same conditions (temperature and pressure).
There are several new EoS models from different authors in the literature. These models
can describe reality more accurately, but most of them require extensive and complex
calculations or measurements. However, at present there is no single Equation of State, that
accurately predicts the properties of all substances under all conditions.
In 1873 van der Waals was the first who modified the Ideal Gas Law. He introduced two
constants ‘a’ and ‘b’. The subsequent models are based on his work. The van der Waals
Equation can be written as:
(p + a1
Vm2) (Vm − b) = nRTa (17)
17
2.4.1. Soave-Redlich-Kwong Equation of State
Redlich and Kwong introduced an empirical equation in 1949. This model is more
accurate than the van der Waals at temperature above critical temperature and not as complex
as the Benedict-Webb-Rubin model. Since that time, numerous modified Redlich-Kwong
equations have been proposed: Redlich and Dunlop in 1963; Chueh and Prausnitz in 1967;
Wilson in 1969; Zudkvitch and Joffe in 1970; and others. Some have introduced deviation
functions to fit pure substance PVT data while others have improved the equation's capability
for vapor-liquid equilibrium (VLE) predictions. [22] [23]
Modification made on the Redlich-Kwong model by Soave, in 1972 resulted in the
Soave-Redlich-Kwong (SRK) equation. A relatively simple equation, but it is capable of
generating reasonably accurate equilibrium ratios in VLE calculations. On the other hand, it
fails to generate satisfactory density values for the liquid even though the calculated vapor
densities are generally acceptable. While the Peng-Robinson formula focuses on
hydrocarbon system, the SRK model can generate more accurate results in case of sour, or
acidic gas mixtures.
The original Redlich-Kwong equation can be written as:
p =
RT
Vm − b−
a
√TaVm(Vm + b)
(18)
Soave replaced the a
√T term by a(T), which is more temperature dependent. The Soave-
Redlich-Kwong equation can be written as: [24]
p =RTa
Vm − b(T)−
a(T)
Vm(Vm + b(T)) (19)
Where
a(T) = 0.42747δR2Tc
2
pc (20)
b(T) = 0.08664RTcpc
(21)
δ = (1 + (0.48508 + 1.55171ω − 0.15613ω2)(1 − √Tr))2
(22)
2.4.2. Cubic-Plus-Association Equation of State
The CPA Equation of State combines the Soave-Redlich-Kwong equation with
association terms to describe the polar/ association effect. The CPA EoS, proposed by
Kontogeorgis et al. can be expressed as: [25] [26]
18
p =RTa
Vm − b(T)−
a(T)
Vm(Vm − b(T))−RT
2 Vm(1+
1
Vm
∂ln g
∂ (1Vm))∑xi
i
∑(1− xAi)
Ai
(23)
xAi represents the fraction of association sites that do not form bonds with other active
sites:
xAi =
1
1 + (1Vm)∑ xjj ∑ XBj∆
AiBjBj
(24)
∆AiBj= g(Vm) [e𝜁AiBj
RT − 1] bijβAiBj (25)
Where ∆AiBj describes association strength between site ‘A’ on molecule i and site ‘B’ on
molecule j. In the association strength ∆AiBj term ζAiBj and βAiBj represent cross-association
energy and effective cross-association volume, respectively. g(Vm) is the radial distribution
function for the reference fluid defined as:
g(Vm) =1
1 − 1.9η (26)
Where:
η =b
4Vm (27)
2.4.3. Peng- Robinson Equation of State
Peng and Robinson introduced their semi-empirical model in 1976. It was developed to
handle both vapor and liquid properties near equilibrium conditions. The development of
this equation was focused on natural gas systems. This model is simple to use and accurately
represent the vapor pressures of pure substances and the relationships temperature, pressure,
and phase compositions in binary and multicomponent systems, therefore it is widely used
to the present day in the industry. The Peng-Robinson equation can be written as: [22]
p =RTa
Vm − b(T)−
a(T)
Vm(Vm + b(T)) + b(Vm − b(T)) (28)
Where
a(T) = 0.45724δR2Tc
2
pc (29)
b(T) = 0.07780RTcpc
(30)
δ = (1 + (0.37464 + 1.54266ω − 0.26992ω2)(1 − √Tr))2
(31)
19
2.4.4. Wilson Sour Water Equilibrium Model
Wilson’s model is very similar to the Van Krevelen model, but he removed some of the
limitations and expanded the temperature range within the model is accurate. The
assumption that H2S and CO2 only exist in aqueous solutions as ionized species made by
Van Krevelen is not true when acid gases are present in the absence of NH3 or other basic
components. This method considers the chemical equilibrium between ionic species of H2S
or CO2 and undissociated H2S or CO2 in the liquid. However, it leaves out the consideration
of the equilibrium between dissolved CO2 and carbonic acid (H2CO3), because the presence
of other acidic or basic component does not affect this equilibrium. By this method, the
partial pressure of H2S or CO2 in the vapor phase above a solution can be calculated from
the concentrations of the undissociated species as: [27]
ppartialH2S= HH2SCH2S (32)
ppartialCO2= HCO2CH2CO3 (33)
2.5. Water Removal Processes
Removing the water from the gas mixture is a key process in order to prevent corrosion,
erosion and hydrate formation. It has not only safety benefits, but additional cost reduction
can be achieved in the transportation, and in case of underground storage the total effective
storage capacity is increased. The most basic method is cold separation, which consist of
cooling, water condensation and separation. The other methods are adsorption – the adsorber
is solid –, absorption – the absorber is fluid – or application of membranes, molecular sieves.
In case of sour gases cryogenic separation is not recommended because of hydrate formation
or CO2 freezing.
2.5.1. Dehydration by Liquid Desiccant
In natural gas absorption dehydration systems, the solvent should be hygroscopic,
noncorrosive, non-volatile, easily regenerated to high purity, insoluble in liquid
hydrocarbons and unreactive with hydrocarbons, CO2 and sulfur compounds.
The glycols are close to meet these criteria. EG, DEG, TEG and TREG all possess suitable
traits. TEG is the most commonly applied glycol in dehydration as it has low vapor pressure
(low carry-over losses) and regenerable to high concentrations. TREG has lower vapor
pressure and withstands higher regeneration temperatures, but it is more viscous and
expensive, DEG is preferred in colder climates due to its lower viscosity. EG is more
commonly used in hydrate inhibition than dehydration. [15] [28]
20
Figure 8 shows a typical absorption-based dehydrator unit. This standard configuration
is applied regardless of the quality of the absorber.
Figure 8 Typical dehydrator unit Own edit
The wet gas first goes to an inlet scrubber to remove all the remaining liquid water.
Then, the gas enters the bottom of the absorber tower (contractor) and flows countercurrent
to the lean absorber. The dry gas leaves the tower on the top, while the rich absorber
(with the removed water) on the bottom. The rich absorber enters the flash tank, where most
of the volatile components vaporize, while the liquid leaves on the bottom and goes to the
regenerator unit (regenerator tower and reboiler), where the absorber reaches the required
concentration by distillation. The distillation temperature cannot be higher, than the
decomposition temperature of the absorber, and it is practical to be as low as possible in
order to reduce the carry-over losses. The water vapor leaves on top from the condenser. The
lean absorber leaving the reboiler, goes to the pump and enters the dehydrator tower on top,
thus closing the loop.
21
Application of the lean/rich heat exchanger and the dry gas/ lean absorber heat exchanger
is not essential, but significantly improves the energy efficiency of the gas treating process.
Without these apparatus additional heating and cooling is needed. Stripping gas is also
optional, but if high purity absorber is needed, application of stripping gas is necessary. The
absorber tank has no effect on the process but an important part of the whole system.
Another common configuration is, when instead of reflux, the rich absorber after leaving
the dehydrator tower goes to the top of the regenerator tower, acts as a cooling medium and
only then enters the flash tank.
Operating conditions for glycol units are governed principally by the degree of
dehydration required, the physical properties of the glycol solutions, and the inlet pressure
of the gases. Lower temperatures and high pressure enhance absorption capacity but can lead
to hydrate formation. Typical operation conditions are: 30 - 70 barg and 16 - 40 °C. [29]
2.5.1.1. Physical Properties of Glycols
As it was mentioned above, glycols are favorable substances for absorption, DEG, TEG
and TREG are widely applied. In case of natural gas dehydration TEG is the most common
choice. EG is more common in low temperature technologies – because its low viscosity –
and on offshore platforms – it can hold more salt than the other glycols. [11]
Glycols have some common properties e.g. they are highly hydrophile, react with oxygen
and form corrosive acidic compounds; the products increase the potential of foaming and
glycol carryover. Low pH accelerates glycol decomposition. They do not freeze solid, but
form a dense, highly viscous solution. Their decomposition temperatures are lower, than
their boiling points. However, the difference in their physical properties decide their
application in a dehydration. The most important parameters are listed in Table 2. [15] [29]
Table 2 Physical parameters of glycols Based on: [11], [15]
EG DEG TEG TREG
Decomposition temperature at 1 atm [°C] 165 164 208 238
Maximum suggested regeneration temperature [°C] 160 160 204 234
Density [kg/m3] at 25 °C
at 60 °C
1 110
1 085
1 113
1 088
1 119
1 092
1 120
1 092
Viscosity [cP] at 25 °C
at 60 °C
16.5
4.68
28.2
6.99
37.3
8.77
44.6
10.2
Heat Capacity at 25 °C [kJ/(kgK)] 2.43 2.30 2.22 2.18
22
EG is a colorless, practically odorless, low volatility, low-viscosity, hygroscopic liquid.
It is completely miscible with water and many organic liquids. It is favorable substance as
antifreezer, as heat transfer fluid, as humectant in paper, leader and glue manufacturing. It is
common in natural gas dehydration and hydrate inhibition. [30]
DEG is a colorless, low-volatility, low viscosity, hygroscopic liquid. Under normal
conditions, diethylene glycol has no detectable odor; however, under high vapor
concentrations, a slightly sweet odor may be detected. It is completely miscible with water
and many organic liquids. The reactivity and solubility of diethylene glycol provide the basis
for many applications. The uses for diethylene glycol are numerous: gas dehydration,
plasticizer for paper, antifreezer for paints, heat transfer fluid, lubricant etc. [30]
TEG is a colorless, odorless liquid, denser than water. It has high viscosity and boiling
point. Miscible with water and insoluble in most hydrocarbons – except ethanol, acetone,
acetic acid, glycerin, pyridine and aldehydes. Heavier paraffin hydrocarbons are essentially
insoluble in TEG. Aromatic hydrocarbons, however, are very soluble, and significant
amounts of aromatic hydrocarbons may be absorbed in the TEG at contactor conditions.
It has higher boiling point and lower volatility than DEG. TEG is known for its hygroscopic
quality and its ability to dehumidify fluids, one of the most common used physical
absorbents in dehydration. The viscosity of TEG and its aqueous solutions increases
significantly as temperature decreases. Sulfur compounds and CO2 are soluble in glycol.
TEG is more soluble in dense CO2 than in natural gas, high acidic content increases the
carryover losses. [11] [28]
TREG is a colorless to straw-colored, low-volatility, low viscosity, hygroscopic liquid
with mild odor. It is completely miscible with water and many organic liquids. It is more
stable and less volatile than DEG or TEG, it has higher decomposition temperature, but it is
more viscous. It is used for dehydration, solvent for dyes and ink, plasticizer. [15]
2.6. Transportation
Significant emitters – power plants, refineries, factories etc. – and the utilization points
– specialized chemical plants, hydrocarbon fields – are rarely close to each other,
transportation of carbon dioxide is usually necessary. It can be terrain – road, rail or pipeline
– or water transportation – fluvial or marine – with ships. In case of tank transportation (road,
rail or ship) special thermal isolated, high pressure containers are needed. These containers
increase the capital costs and limit the maximum mass flow.
23
CO2 can be transported on road, rail and water as a sub-cooled liquid, through pipelines
as a gas, as supercritical fluid, as dense liquid or as subcooled liquid, depending on the
pressure and temperature conditions. CO2 utilization systems require safe, reliable and cost-
efficient solutions for transmission of CO2 from the capturing facility to the end point.
If smaller amounts, for shorter inland distances are transported, road is the ideal solution.
For longer distances rail or pipeline transport are more feasible. A pipeline is CAPEX
intensive, but the OPEX (depending on the distance) is significantly below the rail
transportation. Additionally, the main advantage of the pipeline is, that it is a continuous
form of transit, while the others are periodic. If the source and the end point are connected
by river or sea, ships are recommended. [31]
2.6.1. Transportation by Road
“A 'hazardous substance' is any substance that has one or more of the following intrinsic
'hazardous properties': Explosiveness; Flammability; Ability to oxidise (accelerate a fire);
Human toxicity (acute or chronic); Corrosiveness (to human tissue or metal); Ecotoxicity
(with or without bioaccumulation); Capacity, on contact with air or water, to develop one
or more of the above properties.” [32] According to this classification CO2 (irrespectively
of phase) is a hazardous substance and restricted by the Agreement Concerning the
International Carriage of Dangerous Goods by Road (ADR for short). The ADR regulates
the transportation conditions (pressure, temperature) and all the safety measures.
In most cases greater amount of gas is not feasible to transport on road. Liquification
improves the transportable quantity per truck but specially isolated, high pressure containers
are needed.
2.6.2. Pipeline Transportation
In case of terrain transportation, pipelines are the most economical solution. [13] Unlike
hydrocarbons, the performance parameters of CO2 – phase, density, viscosity, specific heat,
diffuse coefficient, entropy, etc. – can change easily. The impurities can influence the CO2
vapor pressure and phase boundaries. Phase change can cause pressure drop, even can choke
the pipeline, avoidance of phase change is necessary. [33]
Compared with hydrocarbon pipeline transportation, the properties of CO2 result in
different processes, safety measures. Density of gaseous CO2 is higher than air, it is easy to
gather in low shallow places. CO2 can affect the surrounding environment, even causing
asphyxia. Material selection for pipeline, even blow-down pipeline and its valves need to be
specially considered. [13]
24
Carbon dioxide can be transported in gaseous, in liquid, in dense or in supercritical phase.
Each phase has its upsides and downsides. Gas phase is flexible solution in term of quantity,
on the other hand it requires greater pipe diameter, increasing the investment costs.
Gas flow in a pipe causes great pressure loss due to friction. Great pressure drop should be
avoided, because as the pressure decreases the density decreases, the actual flowrate and the
velocity increases, this cause the cooling of the substance. If the CO2 is cooled enough it can
condense to liquid phase. Greater velocity increases erosion as well. Gaseous form is suitable
for lower amounts, shorter-distances and for gas phase sources. It is more favorable for
transport in a densely populated area, compared to other phases. [13]
In case of liquid transportation, not the pressure drop, but the temperature change cause
complications. Liquification of CO2 involves cooling, which is energy demanding.
This can be achieved by heat exchangers, air coolers or mechanical refrigeration units
(MRU). In order to protect the booster pump, CO2 have to be liquified before entering the
pump. After pressure boosting, it is still necessary to be cooled. Liquid CO2 pipelines have
lower operation pressure, and usually need a thermal insulation layer. It fits for lower
amount, and shorter distances or CO2 source in liquid phase. If CO2 not cooled enough and
the ambient temperature is high, it can evaporate and choke the pipeline. [13] [33]
Transportation in supercritical or dense phase requires higher operating pressures, as the
pressure have to be greater, than the critical pressure. If the temperature is greater than the
critical, the pipeline operates in supercritical phase. If the pressure greater than the critical,
but the temperature is below it, the pipeline is in dense liquid phase operation. Installing an
insulation layer or even heating the substance are essential of supercritical transportation.
This kind of additional energy investment is not required for dense phase. Unlike gas
transportation, supercritical and dense transportation needs to have the minimum pressure
above the critical pressure to keep its high density. These forms of transportation are suitable
for larger quantities and longer distances. It is suitable in some areas with lower population
density. Most of the long-distance CO2 pipelines operated in the dense liquid region. [13]
In liquid and supercritical forms, the necessity of insulation layer needs to be determined
by thermodynamic calculation. For longer distances, it is required to avoid phase change.
During transportation the pressure drops. If CO2 enters as supercritical fluid, at some
point it evaporates. This phase transition causes an even bigger pressure drop.
It chokes or may block the pipeline. This means that, there is a maximum safe transport
distance. If there is a need to transport CO2 farther than over this maximum distance,
installation of one or more pressure boosting stations is required.
25
The phase transition occurs when the pressure and temperature drop below the critical
pressure or temperature, it follows that the safe distance depends on the pressure drop
– pipe diameter, roughness, velocity, elevation etc. – and on the heat transfer – insulation,
ambient temperature etc. – either isothermal or adiabatic conditions are assumed. In [33] an
extensive investigation on the long-distance CO2 pipeline transportation can be found. The
final decision of phase of transport depends on economic considerations.
2.6.3. Pipeline Sizing
The minimum basic parameter requirement to design a pipeline are the followings:
- characteristics and physical properties of the fluid,
- desired mass-flow or volume rate of the fluid to be transported,
- pressures, temperatures, and elevations at starting and end point,
- distance of the two points and equivalent length introduced by valves and fittings.
These basic parameters are needed to design a piping system. Assuming steady-state flow,
there are several equations, which are based on the general energy equation
– Bernoulli equation – that can be employed to design the piping system. [34]
2.6.3.1. Pressure Drop Determination
Determination of the pressure drop is one of the most important calculations in any
process that has connection with pipes. For a new pipeline it defines the inner diameter; for
existing pipeline the flow capacity; if the entry and exit point pressures are known.
There are several methods in the literature for multiphase flow pressure drop calculation.
Most of them applicable either for horizontal or vertical sections. The Beggs & Brill method
is one of the few correlations that can deal with any direction of inclination. It is popular in
the petroleum industry, as the track of a long-distance pipeline going through the landscape
meets these conditions.
It was developed using 1" and 1½” sections of pipe – filed with water and air – that could
be inclined at any angle from the horizontal and it deals with all the three components of the
basic pressure gradient equation; the frictional pressure loss, the elevation and the kinetic
energy loss. Beggs and Brill constructed their method based on Field Units, the equations
are valid in this unit system. It is based on the Fanning correlation, as if only a single-phase
fluid is flowing, it devolves to the Fanning gas or Fanning liquid correlation. The two-phase
friction factor is calculated based on the Fanning friction factor and the input gas-liquid ratio.
Since its original publication it has been modified, here the modified method is presented.
[35] [36] [37]
26
The basic pressure drop equation can be written as:
dp
dl=
(dpdl)elevation
+ (dpdl)friction
1 − Ekinetic
(34)
Where
(dp
dl)elevation
=1
144ρM sin(θ) (35)
(dp
dl)friction
= 1.294 ∙ 10−3ftpvM2 ρnsp
(36)
Ekinetic = 2.16 ∙ 10−4vMvsGρns
p (37)
The first step in the calculation of elevation term is to determine the appropriate flow
regime – segregated, intermittent, transition or disturbed – based on the no-slip liquid
holdup. One can use either a flow pattern map, like Figure 9 or the boundary conditions
summarized in Table 3. Eq. 38 to 41 show the boundaries of the flow regimes.
L1 = 316λL0.302 (38)
L2 = 9.252 ∙ 10−4λL
−2.2484 (39)
L3 = 0.1λL−1.4516 (40)
L4 = 0.5λL−6.738 (41)
Figure 9 Modified Beggs & Brill flow regime map Based on: [37]
27
In order to determine the flow regime, calculation of a dimensionless parameter, called
Froude Number, is required. Froude number is an important parameter of comparison, where
the weight of the fluid is a significant. It represents the ratio of the inertial forces on an
element of fluid to its weight. It can be calculated using Eq. 42.
Fr = √vMgID
(42)
Table 3 summarizes the conditions of the flow regimes. There is an AND logical
connection between liquid volume fraction and Froude number.
Table 3 Beggs & Brill flow regime boundary conditions
Liquid volume fraction (λL) Froude Number (Fr) Flow regime
<0.01 <L1 Segregated
≥0.01 <L2
0.01≤ λL <0.04 L3< Fr ≤L1 Intermittent
≥0.4 L3< Fr ≤L4
<0.4 ≥L4 Disturbed
≥0.4 >L4
– L2< Fr <L3 Transition
After the flow regime is determined, the liquid holdup should be calculated.
It has two parts, first the liquid holdup is calculated for horizontal flow, then it is modified
for inclined flow. The liquid holdup should be always greater or equal than λL, if this
condition not fulfilled, λL should be used. Liquid holdup is calculated with different formula
for each flow regime, Table 4 summarizes the equations.
Table 4 Horizontal liquid holdup calculation formulae
Flow regime Formula
Segregated εL(0) =0.98λL
0.4846
Fr0.0868 (43)
Intermittent εL(0) =0.845λL
0.5351
Fr0.0173 (44)
Disturbed εL(0) =1.065λL
0.5824
Fr0.0609 (45)
Transition εL(0) = AεL(0)segregated + BεL(0)intermittent (46)
28
In the transition region as its name suggests, the fluid flow pattern is between the
segregated and intermittent regime, fluid properties are the mixture of the two regimes.
‘A’ and ‘B’ parameters in Eq. 47 and 48 represent this mixing. They can be calculated as:
A =L3 − Fr
L3 − L2 (47)
B = 1 − A (48)
Once the horizontal liquid holdup is determined, the actual liquid holdup should be
calculated as:
εL(θ) = B(θ)εL(0) (49)
Where B(θ) is the inclination factor. It can be calculated as:
B(θ) = 1 + β [sin(1.8θ) −1
3sin3(1.8θ)] (50)
β is a function of flow regime, direction of inclination (uphill or downhill), the Froude
number and the liquid velocity number. It is always greater than 0, if a negative value is
calculated, β=0 must be used. The liquid velocity number can be expressed as:
Nvl = 1.938vsL√ρLgσ
4
(51)
Table 5 β calculation formulae
Direction Flow regime β
Uphill
Segregated β = (1 − λL) ln (0.011Nvl
3.539
λL3.768Fr1.614
) (52)
Intermittent β = (1 − λL) ln (2.96λL
0.305Fr0.0978
Nvl0.4473 ) (53)
Disturbed β = 0 (54)
Downhill All β = (1 − λL) ln (4.7Nvl
0.1244
λL0.3692Fr0.5056
) (55)
The actual liquid holdup determines the mixture density, which effects the elevation term.
For the frictional losses one should calculate the ‘S’ empirical parameter and the no-slip
friction factor. For the no-slip friction factor one needs the Reynolds number and the
assumption that the pipe wall is smooth. The Reynolds number should be expressed as:
Re =ρnsvMID
μns (56)
29
This method uses the Fanning friction factor, which can be determined from the Fanning
friction factor chart or can be calculated with the Chen equation:
1
√fns= −4 log [0.2698ϵ −
5.0452
Relog {0.3539ϵ1.1098 +
5.8506
Re0.8981}] (57)
This friction factor should be normalized for actual conditions as:
ftp = fnseS (58)
The empirical parameter ‘S’ can be calculated as:
S =y
−0.0523 + 3.18y − 0.872y2 + 0.01853y4 (59)
Where
y =λL
εL2 (60)
Eq. 59 is discontinuous if 1 < y <1.2, in this interval Eq. 61 should be used.
S = ln(2.2y − 1.2) (61)
2.6.3.2. Heat Loss During Transportation
The pressure drop during transportation highly depends on the density and viscosity of
the fluid, which are temperature dependent properties. In order to accurately calculate the
pressure drop, the heat transfer processes – heat generated by friction, heat convention inside
the pipe, heat transfer to the environment – should be known as well. During heat transfer,
part of the internal energy of the fluid migrates to the environment through the pipe wall as
heat. This can be written with the Fourier’s law of heat conduction.
qx = −kA∂T
∂x (62)
or in radial system as:
qradial = −kAradial∂T
∂r= −k2πrL
∂T
∂r (63)
In Eq. 62 and 63 the ‘k’ thermal conductivity, a quality dependent parameter. It shows
how much energy can the given substance transfer in a unit of time for 1 °C temperature
difference. Its unit most commonly is W/(m°C). [38]
Pipelines can be considered as cylinders, where the radius is negligible compared to the
length. It can be assumed that heat is transferred only in the radial direction. Solving Eq. 63
for a given temperature difference it can be written as:
q =2πkL(Tinner − Touter)
ln (routerrinner
) (64)
30
For comparison of insulation materials, the thermal resistance is commonly used, its
common unit is °C/W. By definition the thermal resistance is:
Thermal resistance =Thermal potential difference
Heat flow (65)
For one layered radial system it is:
Rth =
ln (routerrinner
)
2πkL
(66)
In case of a buried pipeline the thermal resistance of ambience can be calculated as:
Rth amb =routerkamb
ln
(
2Zb +√4Zb
2 − 2router2
router)
(67)
The reciprocal value of thermal resistance called heat transfer coefficient; it can be
expressed as:
Hth amb =1
Rth amp (68)
If the total heat transfer should be calculated it is characterized by the overall heat transfer
coefficient as:
U =1
A∑Rth=
1
A Rth overall (69)
2.6.3.3. Wall Thickness Determination
Once the inner diameter of the piping segment has been determined, the pipe wall
thickness must be calculated. There are many factors, that affect the pipe wall thickness
requirement. These parameters can be divided into three groups: 1.) operation conditions:
maximum and working pressures and temperatures; 2.) physical and chemical properties of
the transported fluid: density, viscosity, pH, water content, heat capacity etc.; and
3.) properties of pipe material: grade, yield strength, tensile strength. Value of safety factor
and exact calculation method are defined by the relevant documents of the country. [34]
In Hungary the MSZ EN 13480 Metallic industrial piping standard is authoritative, from
this group Part 3: Design and calculation details the wall thickness determination of piping
components. Through the case study the process presented by this standard was applied.
The minimal required wall thickness depends on the piping material, the diameter, the
joint coefficient, the calculation pressure and temperature. The diameter is determined by
the maximum allowable pressure drop and velocity, the other parameters are detailed by the
document.
31
As the standard states: “The joint coefficient z shall be used in the calculation of the
thicknesses of components which include one or several butt welds, other than
circumferential, and shall not exceed the following values:
- for equipment subject to destructive and non-destructive testing which confirms that
the whole series of joints show no significant imperfections: 1;
- for equipment subject to random non-destructive testing: 0.85;
- for equipment not subject to non-destructive testing other than visual inspection: 0.7.”
[39]
The pressure and temperature in the calculation procedure must be considered as the most
severe conditions of coincident pressure and temperature, which may prevail in the piping
system over a long time.
The design stress must be the lowest of the time-independent stress values – ReH t, Rp0.2 t
and Rm – as Eq. 70 presents.
F = min {ReH t1.5
;Rp0.2 t
1.5;Rm2.4} (70)
In case of straight pipe with an OD/ID ≤ 1.7 the minimal required wall thickness can be
determined using Eq. 71 or 72.
e =pcOD
2Fz + pcalc (71)
or
e =pcID
2Fz − pcalc (72)
The final wall thickness should be greater than ‘e’ and the added allowances.
These allowances are: ‘c0‘ is the corrosion or erosion allowance; ‘c1’ is the absolute value of
the negative tolerance taken from the material standards or as provided by the pipe
manufacturer; ‘c2’ is the thinning allowance for possible thinning during manufacturing
process.
eord ≥ e + c0 + c1 + c2 (73)
‘eord’ is the next greater standard wall thickness that fulfills the above condition. After the
‘eord’ is determined the maximum pressure should be checked. For this calculation the ‘ea’
analysis wall thickness should be used.
ea = eord − c0 − c1 − c2 (74)
If ‘ea’ fulfills the stress requirements the determination of straight section is complete.
32
2.6.3.4. Effect of Corrosion
Pipelines have important role in transport of fluids for long distances. Because carbon
steel is a commonly used as material, corrosion is one of the most serious problems in the
petroleum industry. Application of stainless steel could eliminate the corrosion, but due to
the cost of this special material and the required long distances, no project could be feasible.
Corrosion is defined by the National Association of Corrosion Engineers (NACE) as “the
degradation of a material, usually a metal, because of a reaction with its environment”. [40]
Corrosion could lead to failures, breakdowns and leaks, which are followed by large losses
of product, environmental pollution and ecological disasters. These cause significant
economic loss. [41]
CO2 and H2S are frequent components in the produced hydrocarbon. From the several
forms of corrosion, sweet corrosion (caused by carbon dioxide mixed with water) and sour
corrosion (caused by hydrogen sulfide) are the crucial problems in the petroleum industry.
Removal of these components from the produced oil and gas is critical from operation safety
point of view. In case of oil production, the oil could act as a natural inhibitor, however in
gas production such natural inhibition is not available, outer source of inhibition is needed.
The use of chemical inhibitors has been acknowledged practical and economical method of
combating CO2 corrosion. The inhibiting molecule retards the rate of corrosion by acting at
the metal-corrosive medium interface. [41]
The mechanism of carbon dioxide corrosion is a complicated process, that is influenced
by many factors and conditions – i.e. temperature, pH, partial pressure of CO2, etc. –, but
due to its importance, this type of corrosion is well investigated.
There are three main ways to avoid corrosion, removal of water (dehydration) or
application of passive or active inhibition. Passive methods are special coatings, insulation
materials, they separate the metal from the environment. Active corrosion inhibition includes
cathodic protection – when another metal is sacrificed to protect the pipeline – and adding
inhibitors to the wet gas stream – reducing the hazard of hydrate formation as well.
Application of inhibitors are common in case of pre-processed stream (e.g. flowlines) and
during gas processing (e.g. dehydration, sweetening etc.). In order to avoid hydrate
formation in wet gas pipelines, ethylene glycol and/ or methanol is often added.
33
3. Case Study
The aim of the study is to investigate the different possibilities of a CO2 dehydration and
transport system. The source of the gas mixture is an operating, amine-based gas sweetening
unit. The gas of the GSU is pressure boosted, dehydrated and transported to reinjection to
the target reservoir. The initial transportation pressure is the sum of the pressure needed to
reinject the gas to the formation (100 barg) and the pressure loss during transportation.
The GSU and reservoir are the boundary points, their operation is excluded from this
work. Table 6 and 7 summarizes the initial parameters of the gas mixture leaving the
sweetening unit. Figure 10 shows a simplified flowsheet of the process.
Table 6 Composition of the input gas
Component mol% g/m3
C1 4.021 27.430
C2 0.235 3.010
C3 0.092 1.720
i-C4 0.019 0.460
n-C4 0.035 0.860
i-C5 0.012 0.370
n-C5 0.012 0.370
C6 0.131 4.810
C7 0.030 1.290
C8 0.007 0.350
CO2 95.271 1 783.050
N2 0.135 1.610
Total 100.00 1 825.330
Table 7 Initial parameters of the input gas
Parameter Value Unit
Temperature 20 °C
Pressure 0.5 barg
Volume Flow 10 000 STDm3/h
Molecular
Weight 42.92 g/mol
Specific
gravity 1.47 –
Water Content 11 778.57 mg/STDm3
Specific Heat 0.907 kJ/(kgK)
Heat Capacity
Ratio 1.29 –
Figure 10 Simplified flowsheet Own edit
GSU Pressure
Boosting
Inhibitor Injection
Target Reservoir
Pressure
BoostingTransport by PipelineWater Removal
34
Table 8 Sub-cases
Case Number Short Description
Case 1. Transport the carbon dioxide by pipeline to utilization
Case 1.1. Dehydration with glycol technology
Case 1.1.1. Dehydration with DEG
Case 1.1.2. Dehydration with TEG
Case 1.1.3. Dehydration with TREG
Case 1.2. No dehydration but application of thermodynamic inhibition
Case 1.2.1. Inhibition with EG
Case 1.2.2. Inhibition with methanol
Case 1.3. No dehydration, nor inhibition
Case 2. Emitting the CO2 to the atmosphere and paying the emission allowances
Through the Case Study the sub-cases summarized in Table 8 are investigated, evaluated
and compared to each other. The final evaluation and recommendation are based on
estimated expenditures – CAPEX and OPEX – on operation interval of 10 years.
3.1. Model Building Principles
The modelling carried out by Aspen HYSYS® v12 (or HYSYS for short) software.
The software solves mass and energy balances, calculates vapor/ liquid equilibria, with
mathematical models – Equations of State – to predict the physical and chemical processes
taking place in the investigated system. Originally, it was developed as a chemical
engineering software, but today it is one of the most popular tools in the industry and
academia for steady-state and dynamic simulation, process design, performance modelling,
and optimization. In the petroleum industry it is used in gas processing, process engineering
and in refineries as well.
Through the simulation the Sour-Soave-Redlich-Kwong (Sour-SRK) fluid package is
used as default. This package is a mixture of the Soave-Redlich-Kwong Equation of State
and the Wilson sour water model. Through dehydration the CPA fluid package is used, based
on the software’s recommendation. This model uses the Cubic-Plus Association term. For
the propane-based mechanical refrigeration unit the Peng-Robinson fluid package is used.
This package uses the Peng-Robinson EoS.
35
3.2. Pressure Boosting and Cooling
3.2.1. Compressors and Air Coolers
As mentioned above, for dehydration higher pressure is required. In order to achieve this
pressure, a 3-stage pressure boosting system – with reciprocating compressors – was
modelled. Figure 11 shows the pressure boosting model made in HYSYS and Table 9
summarizes the most important parameters. The final (4th) stage of pressure boosting
detailed in Chapter 3.4.
Figure 11 Pressure boosting (3 stages) Own edit
As recommended in API Standard 618 Reciprocating Compressors for Petroleum,
Chemical, and Gas Industry Services, the compressor discharge temperature should not be
higher than 150 °C (300 °F) because of the danger involving the auto-combustion of
lubricating cylinder oil in the presence of hot, compressed air. The pressure ratio was
selected considering this regulation. In case of pure CO2, this ratio, as a rule of thumb can
be approximated with 2.6. The impurities have effect on the heat capacity of the mixture,
thus increasing the allowable pressure ratio. The selected pressure ratio was assumed equal
for all stages. After each compression stage, the gas is cooled back to 50 °C by air coolers
and the free liquid is separated before entering the next stage. The pressure losses of the
piping system are neglected.
36
Table 9 Pressure boosting parameters
Compressors
Parameter 1st Stage 2nd Stage 3rd Stage
Adiabatic Efficiency [%] 92.00 92.00 92.00
Polytropic Efficiency [%] 92.875 92.875 92.875
Pressure Ration [-] 3.16 3.16 3.16
Inlet Pressure [barg] 0.50 3.42 12.64
Outlet Pressure [barg] 3.77 12.99 42.14
Outlet Temperature [°C] 108.0 145.3 149.0
Air coolers
Air inlet temperature [°C] 40 40 40
Process stream pressure drop [bar] 0.35 0.35 0.35
Process stream outlet temperature [°C] 50 50 50
Removed heat [kWth] 277.0 510.6 590.8
Energy requirement [kWel] 3.05 6.06 6.04
3.2.2. Mechanical Refrigeration Unit
As mentioned above, after each stage the gas is cooled back to 50 °C. This high
temperature is reducing the efficiency of dehydration, additional cooling is required.
A propane-based mechanical refrigeration unit (MRU) was designed, its cooling duty is used
to reduce the temperature of processed gas. Figure 12 shows the model of the unit. This loop
process is based on the Joule-Thomson expansion. As the gas or liquid is flowing from a
higher pressure into a lower pressure region without significant kinetic energy change, work
is done, causing a change in internal energy but the enthalpy is constant. The internal energy
can increase, if work is done on the fluid and decreased, if the work is done by the fluid.
The loop starts at the condensed (liquid) propane. The liquid flows through a J-T valve,
its pressure and temperature drop, the vapor phase appears. In the heat exchanger the propane
evaporates, removes energy from the ambience, thus reducing the temperature of the other
medium, in this case the gas mixture. The vapor goes to a tank or separator, and after pressure
boosting, to the condenser, where it become liquid and the process starts over. In the practice
a special shape of heat exchanger called chiller – which allows the propane to expand – is
needed to deliver the cold energy. In the simulation a pair of ideal heater and cooler was
used with a connected duty. The result is the same from modeling point of view, but with
this solution it is easier to follow the model, and the different units are more portable.
37
Figure 12 Propane-based mechanical refrigeration unit Own edit
As Figure 13 shows, if no other parameter (pressure and temperature) is modified the
cooling duty is changing linearly with the quantity of propane.
Figure 13 Cooling duty vs quantity of propane Own edit
Table 10 MRU parameters
Parameter Value Unit
Propane mass flow 2 666 kg/h
Cooling duty 161.1 kWth
Compressor energy requirement 107.9 kWel
Condensation temperature 50 °C
Chiller temperature -15 °C
38
Condenser
Number of bays 1 –
Number of fans per bay 1 –
Removed heat 256.9 kWth
Energy requirement 12.88 kWel
With a propane-based MRU the process gas mixture is cooled back to 26 °C. After a J-T
valve the pressure drops to 40.5 barg and the temperature to 25 °C. These are the inlet
parameters of the dehydrator unit.
3.3. Case 1.1. – Dehydration with Glycol Technology
In order to prevent corrosion and hydrate formation the water content of the gas has to be
reduced. Furthermore, by removing the water the total volume flow is reduced, thus reducing
the transportation cost, and increasing CO2 injection efficiency. On the other hand, complete
water removal is not essential nor economical in this situation. An industrial best practice
presented in [42], 50 ppmv water content is generally accepted for pipeline transport. This
is the goal of dehydration.
The basic buildup of an absorption-based dehydration unit is the same as described in
Chapter 2.5.1. Flash tank was not built in the system, because of low operation pressure.
This configuration was used through the case study with different substances, resulting
different operational parameters (e.g. absorber mass flow and concentration, regeneration
temperature, strip gas quantity etc.). As mentioned above EG is common practice in cold
technologies – natural gas conditioning – and hydrate inhibition, however in case of water
removal the first substance of consideration is TEG. Beside TEG, DEG and TREG were
investigated.
The basic steps of design is based on the method presented in [11] and [28], the final
parameters are the result of HYSYS modelling. For the optimization, the results presented
in the following chapter are used. These investigations are made with the Case Study tool of
the software. The figures show simple relationships, every other parameter – not shown on
the graphs – considered constant during the investigations. In order to present the result in a
more representative form, some graphs show relative results. This always means the ratio
compared to the initial – presented in tables – values. This chapter presents the design
process of TEG unit as an example; the graphs belonging to DEG and TREG can be found
in Appendix C.
39
Figure 14 shows the dehydrator unit built in HYSYS. The “Sour gas to absorber” and the
“Sour gas to dehydration” material streams on Figure 11 and 14 are connected by virtual
stream (op-100). All parameters – composition, pressure, temperature, volume flow, etc. –
are the same values.
The gas enters the T-100 contactor tower on the bottom, while the absorber on the upper
section. The dried gas leaves on the head (stream Ovhd). The inlet stream of 4th stage
pressure boosting compressor is connected to this stream by another virtual stream (op-101).
The model of last pressure boosting stage, and transportation is seen on Figure 36.
In order to prevent foaming, the solvent’s temperature should be greater than the inlet
gas’ temperature. This limitation was considered during the simulation.
Figure 14 Dehydrator unit Own edit
If one wants to check the water dew point of the processed gas, one can observe falsely
high values. Unfortunately, HYSYS cannot calculate the water dew point accurately, if there
is glycol in the system. Following the software’s suggestion, a splitter (X-100) is used to
remove the glycol. This solution may not seem ideal, but it is a common practice [42].
This stream is not used in the following processes, only needed to determine the correct
water dew point.
40
3.3.1. Design of a Glycol-based Dehydration Unit
As it was mentioned above, the gas enters the unit at 25 °C and 40.50 barg. In order to
achieve the 50 ppmv water content – ~-13 °C water dew point at transportation pressure –
98.00 wt% or higher concentration of TEG is required. Figure 15 is based on the equilibrium
between vapor and liquid water phase, and applicable up to 100 bara. The inlet gas water
content is 571.03 mg/STDm3; the required is 38.10 mg/STDm3; 532.93 mg/STDm3 is
removed, the water removal is ~93.32 %. This high removal – with 3 stages – is not possible
with TEG concentration below 99.00 wt%. (see Figure 16) Based on Figure 17 a circulation
ratio of 17 is sufficient, the lean TEG mass flow is 17 times of the removed water mass flow.
There is total 5.62 kg/h water in the 9 851 STDm3/h inlet gas and 0.38 kg/h should remain
in the gas stream. Based on the circulation ratio, 89.19 kg/h 99.00 wt% lean TEG is needed.
These literature-based values are the first iteration step of the design. The final parameters
are the product of HYSYS modelling.
Figure 15 Water dew point vs contractor temperature Source: [11]
Based on Figure 15 98.00 wt% TEG is able to remove the water, on the other hand
Figure 16 and 17 prove that 99.00 wt% TEG is needed, if 3 stages are used. On Figure 16
the red line shows the theoretically possibly maximum water removal and the green line is
the required water removal.
41
Through the simulation TEG concentration higher than 98.14 wt% was unachievable
without strip gas. As an industrial practice, to achieve 97.00 wt% or higher purity, strip gas
is required. In case of DEG, because of its lower decomposition temperature (164 °C), strip
gas is essential, in contrast the higher decomposition temperature of TREG (238 °C) reduces
or even eliminates the strip gas requirement. As strip gas pure, dry N2 was selected and used.
As calculated above 89.19 kg/h 99.00 wt% TEG is needed. Running the simulation
resulted 43.27 ppmv water content, which satisfies the goal 50 ppmv.
Figure 16 Absorber performance at lean TEG concentration of 98.50 wt% Source: [11]
Figure 17 Absorber performance at lean TEG concentration of 99.00 wt% Source: [11]
42
3.3.1.1. Main Influencing Parameters
As one can see from the discussion above, there are several factors influencing the
operation of a dehydrator unit. The result is infinite number of possible operation mode.
From these, should be one, most preferred operation. The goal of optimization is to find the
parameters belonging to this optimal operation. The most preferred operation could mean
several conditions depending on the criteria of optimization. It could mean the highest
achievable water removal, the least energy consumption, the least operational cost or least
total expenditures including CAPEX and OPEX. This study aims for the least operational
cost, least total chemical (glycol, propane, nitrogen) and least energy (heat and electricity)
consumption. The following section provides a short overview of the effect of different
factors affecting the operation of a glycol-based dehydrator unit.
As it was mentioned above, glycols have favorable physical properties for dehydration.
However, they have different basic physical qualities (density, viscosity, decomposition
temperature, etc.) which are the main indicators how a dehydrator unit will operate. Another
important parameter is the cost of substances, that can decide which absorber should be used.
3.3.1.1.1. Effect of Inlet Temperature
Contractor temperature is one of the most important parameters determining the operation
of the dehydrator unit. As one can see on Figure 15 in order to achieve lower water dewpoint
at constant contact temperature, higher purity of TEG is required. Or with a constant TEG
concentration by reducing the contact temperature, the water dewpoint will be reduced.
However, reducing the temperature increases the heat requirement of regeneration and
viscosity of the glycol which drag along the increment of pressure drop and pumping duty.
Figure 18 Remaining water content vs contractor temperature (TEG) Own edit
43
As one can see on Figure 18 and 19 lower contractor temperatures are favorable, as not
only higher water removal efficiency is achievable but at lower contractor temperatures the
loss of glycol is less. The mass fraction of circulated TEG has negligible effect, compared
to the contractor temperature.
Figure 19 TEG loss vs contractor temperature Own edit
3.3.1.1.2. Effect of Glycol Concentration
If no other parameters changed, higher water removal can be achieved by greater glycol
quantity. This increment can be achieved by higher mass flow (with lower glycol purity) or
higher purity (with lower mass flow). Higher purity means higher strip gas requirement, on
the other hand, higher mass flow requires higher reboiler duty.
Figure 20 TEG mass fraction vs mass flow Own edit
44
3.3.1.1.3. Effect of Strip Gas
The main aim of adding stripping gas, is to reduce the partial pressure of gaseous water,
to enhance water evaporation and thus reduction the water content of the glycol. The
stripping gas could come from the flash gas, from the dehydrated gas or from a third source.
As it was mentioned above, for the case study nitrogen was selected, as strip gas. As one can
see on Figure 21 the increased quantity of strip gas results lower remaining water content.
However, the relation between the removed water and the quantity of strip gas used is not
linear, more like an exponential relation. The same behavior is observable on Figure 22
between the quantity of strip gas and purity of TEG. This relation can be approached with a
logarithmic function.
Figure 21 Remaining water content vs strip gas quantity (TEG) Own edit
In conclusion one can say, that the increment of stripping gas quantity enhances the glycol
regeneration, thus purer glycol can be circulated, which leads to higher water removal
efficiency. The quantity of strip gas has greater effect on the lower volume flow regions; a
small amount of strip gas can enhance the regeneration process compared to a no strip gas
scenario. On the other hand, there is a limit where greater amount of strip gas will not result
significant change in dehydration efficiency.
One should bear in mind, that the strip gas is injected to the reboiler. If greater amount of
strip gas is needed, it can influence the reboiler duty. As one can see on Figure 23 after a
minimal value, the duty shows linear relation with TEG mass flow. The temperature of strip
gas does not affect this trend however, it shifts the curve. This trend is true in case DEG as
well. (see Figure 54) The high decomposition temperature of TREG allows high grade
regeneration without strip gas. The effect of strip gas temperature was not investigated.
45
Figure 22 TEG mass fraction vs strip gas quantity Own edit
In most cases the quantity and temperature of strip gas does not have significant effect on
the energy requirement. Figure 23 and 54 are only valid in case of nitrogen gas. As one can
see, the temperature of strip gas and required duty have linear relation, while the quantity of
strip gas and reboiler duty have logarithmic relation. (see Figure 48 and 49)
Figure 23 Reboiler duty vs TEG mass flow Source: Own edit
3.3.1.1.4. Effect of Regeneration Temperature
The regeneration temperature should be lower than the decomposition temperature. For
TEG 200 - 204 °C common choice, achieving high water removal, but staying below the
decomposition temperature of TEG (208 °C). The higher the regeneration temperature the
less strip gas required. Figure 24 shows not only the importance of high regeneration
temperature but one can notice the decreasing effect of strip gas with increasing quantity.
46
Figure 24 TEG mass fraction vs reboiler temperature with different strip gas quantities Own edit
Decomposition temperature of DEG is 164 °C, of TREG is 238 °C, resulting higher strip
gas requirement for DEG, while TREG is regeneratable to required purity with low amount
or even without any strip gas. (see Figure 55 and 61)
3.3.1.1.5. Effect of Number of Stages
Inside the contactor tower each stage has its own pressure, temperature and belonging
vapor/ liquid ratio. As seen on Figure 16, 17 and 25 a given water removal efficiency,
requires lower and lower amount of glycol with the increment of stages. Or for a given
circulation ratio, with more stages higher water removal is achievable. This trend is valid in
case of DEG and TREG as well. (see Figure 56 and 62) The horizontal red line shows the
desired water removal, the vertical lines show the glycol requirements.
Figure 25 Absorber performance at lean TEG concentration of 99.05 wt% Own edit
47
3.3.1.1.6. Effect of Heat Exchangers
As it was described before, during dehydration lower temperatures are advantageous, on
the other hand the regeneration requires higher temperatures. This temperature swing
unequivocally involves a heat exchanger, where the rich glycol is pre-heated while the lean
glycol – leaving the regenerator – is cooled back. This heat exchanger is not crucial for the
process but increases the efficiency. Without it, additional heating and cooling is required.
A basic design consideration is, that using a static apparatus (i.e. heat exchanger) is more
economical, than operating an additional cooler unit (e.g. air cooler or MRU). The low
temperature of contractor tower cannot be achieved with air coolers, MRU is needed.
Removing the exchanger has double effect, the lean glycol has to be cooled back, and the
rich glycol enters the regenerator tower on lower temperature, increasing the reboiler duty
or additional pre-heating is needed.
In order to quantify the increased cooling duty, the heat exchanger was removed from the
system and an ideal cooler was inserted to cool down the lean TEG to the original contractor
temperature. (see Figure 26)
Figure 26 Dehydrator unit without heat exchanger Own edit
48
It is practical to use the same propane-based MRU unit – that cools the gas mixture before
dehydration – for cooling down the glycol as well. This means greater propane mass flows,
greater vessels, duties etc.
Figure 13 showed the linear relationship between cooling duty and propane requirement,
Figure 27 quantifies the propane increment in relative form. One can notice that the trend
not only linear but the gradient equals unity.
Figure 27 Cooling duty vs quantity of propane (relative) Own edit
As mentioned above, removing the heat exchanger effects the regeneration as well.
Figure 28 represents the effect of inlet temperature on reboiler duty. As the inlet temperature
decreases, the reboiler duty increases. This relationship is not linear, as seen on the deviation
of datapoints from the reference (grey, dotted) line.
Figure 28 Effect of heat exchanger on reboiler duty (TEG) Own edit
49
3.3.2. Comparison of Glycols and Selection of Favorable Substance
The purpose of this section is to graphically demonstrate the differences of investigated
glycols and to present the selection process. Most of the curves presented here, can be found
in the previous chapter or in Appendix C, however comparison is more representative, if
the given parameter of different substances is in one graph. In this section DEG, TEG and
TREG presented with the same color – blue, orange and grey respectively. There were some
calculations where the software could not calculate the TREG parameters properly – based
on values presented in open literature. These values were not accepted, nor presented here.
Figure 29 Remaining water content vs contractor temperature Own edit
Figure 29 shows the remaining water content as function of contractor temperature.
In the lower temperature zone – below 30 °C – the values are close to each other, DEG
results higher remaining water content.
Figure 30 Glycol loss vs contractor temperature Own edit
50
DEG has the highest absorber loss, which leads to greater make up requirement, thus
higher OPEX. Loss of TREG is negligible even at higher temperatures, TEG loss also stays
relatively low. (see Figure 30)
In order to achieve the required water content, a fixed amount of pure glycol is needed.
The pure amount of glycol is the product of mass fraction and mass flow, Figure 31
represents this relation. DEG has the lowest mass flow requirement at certain mass fraction,
or at a certain mass flow the lowest mass fraction is required. This statement only valid above
the critical mass fraction – where the curve becomes flatter –, below that value the substance
cannot attract more water even with greater mass flows. TEG has higher mass fraction
requirement than DEG.
Figure 31 Glycol mass fraction vs mass flow Own edit
Greater purity means reduced mass flow, however achieving the required mass fraction
has different conditions – regeneration temperature, quantity of strip gas – depending on the
substance. Figure 32 shows the strip gas requirement of each glycol. This graph is an
exception. All the other graphs show the different substances at same conditions. On this
graph the lines belonging to DEG, TEG and TREG are valid for regeneration temperatures
of 160 °C, 204 °C and 230 °C respectively.
As one can see on Figure 32 the statement, which indicates the great effect of low amount
of strip gas compared to no strip gas scenario and the reducing trend of effect, is true in all
cases.
51
Figure 32 Glycol mass fraction vs strip gas quantity Own edit
Another important parameter of the system is the loss of CO2 during dehydration.
Removing carbon dioxide from the gas with the water is favorable in case of natural gas
conditioning, as it increases the ratio of valuable components. In this case the aim of the
system is to purify the CO2, reducing its quantity should be avoided. Still these losses are
negligible compared to the total quantity.
Figure 33 CO2 loss vs mass fraction of glycol Own edit
Based on the graphs presented in this section and the material cost in Appendix B, the
proper glycol can be selected. With DEG the lowest mass flow can be obtained – with
constant mass fraction –, it requires the lowest regeneration duty and has the lowest cost
from the three, but then again it has the greatest glycol loss and the greatest strip gas
requirement. The loss of TREG is negligible, can be regenerated to high purity without or
52
with little amount of strip gas and can achieve the required water content with the lowest
purity, but it has the greatest regeneration duty requirement, and the greatest cost.
Furthermore, the high uncertainty of TREG calculation made the results unreliable.
Selection of TREG as representative glycol for this scenario not recommended.
In most aspects TEG is in between DEG and TREG. After several iteration TEG proved
to have the lowest total OPEX, thus the economic evaluation of this substance will represent
the cost of dehydration.
3.3.3. Contactor Tower Specification
The contractor tower and the regenerator tower are the biggest static components of the
system, they have to be sized properly. The applied process in details can be found in [11],
as an example the contractor tower sizing is presented here.
In the simulation environment the contractor tower was designed with theoretical stages.
These stages, as the name suggests only exists in theory, a conversion to real packing is
needed. For this, transfer units – number (NTU) and height (HTU) – are used. Figure 34
provides an approximate conversion from theoretical stages to transfer units, as a function
of circulation ratio. The contractor has 4 theoretical stages and circulation ratio of 17.74.
From Figure 34 NTU is 7.1.
Figure 34 Number transfer unit conversion Source: [11]
53
Height transfer unit depends on the mass transfer rate, they are inversely proportional.
Increment in HTU represents a decrease in mass transfer. Increasing specific packing area
and glycol circulation rate decreases HTU, and gas rate and gas density increase it.
Figure 35 Height transfer unit conversion Source: [11]
The total height of the contactor column is based on the packing required, plus an
additional 3 m to allow space for vapor disengagement on top, and inlet gas distribution, rich
glycol surge volume at the bottom of the column and for the liquid distributor. Figure 35
was used to estimate the HTU of structured packing with gas density of 92.52 kg/m3
(40.5 bar, 25 °C) and 300 m2/m3 specific packing area. HTU equals 0.7. The total height
includes two 200 mm thick additional packing, the final height is calculated with Eq. 75.
Total Height = NTU ∙ HTU + hap + has = 7.1 ∙ 0.7 + 0.4 + 3 = 8.37 m (75)
Diameter of the contactor tower is set by the gas velocity; it is identical to sizing a
separator. Here only the equations and results are presented, the value of parameters and
constants can be found in Appendix A.
vmass = Cbubble tray ∙ √ρL(ρL − ρV) = 52 618 kg/m2h (76)
A =mmassvmass
= 0.3397m2 (77)
Dbubble tray = √4A
π= 0.6577 m (78)
Dstructured packing = √Cbubble tray
Cstructured packing∙ Dbubble tray = 0.6770 m (79)
54
The height calculated with Eq. 75 (8.37 m) includes additional space, but Eq. 79
determined only the width of the packing (0.677 m). These values do not include the wall
thickness of the tower. In practice, an 8.50 m tall, 0.70 m wide tower can be used.
Low quantity as presented in the case study results in a small dehydrator unit. It is possible
that periodic operation of regeneration is more feasible. In that case greater apparatus and
storage capacity are required. This option is not in the scope of the case study.
As one can see from Table 19 the final parameters do not significantly deviate from the
literature-based values presented in the previous chapter, justifying the usage of the
presented graphs for rough calculations. One also should bear in mind that Figure 15 - 17
are made for natural gas, not for CO2. For more accurate design EoS methods are essential.
3.4. Transportation of CO2 by pipeline
The injection pressure of CO2 was specified in the beginning of the case study,
as 100 barg. This pressure determines the injection phase of CO2, it can be either supercritical
or dense liquid phase, depending on the temperature. During transportation it can be dense,
supercritical or gas phase, but phase change during transportation should be avoided.
The advantages of transportation in dense or supercritical phase are smaller pipe diameter
and smaller pressure drop, on the other hand in case of dense phase additional cooling, in
case of supercritical phase additional thermal insulation is required. The third option – gas
phase – requires greater diameter and pressure boosting on-site. Without any calculation,
one can realize, this solution has greater CAPEX – greater pipe diameter – and
OPEX – greater pressure boosting – demand, this scenario is therefore not investigated.
The high-pressure mixture cannot enter the pipe after compression, as the high
temperature decreases the mechanical strength of the steel. The mixture was cooled back to
50 °C with air coolers. In case of supercritical transportation, this is the inlet temperature of
the pipe. In order to achieve dense phase, the substance should be cooled below the critical
temperature. This additional cooling provided by same the propane-based MRU, used
before. In the model for simplicity ideal cooler was used.
Figure 36 4th stage compression and transportation pipeline Own edit
55
3.4.1. Pipeline sizing
Line sizing limited only to pipeline diameter and wall thickness determination, it excludes
the design of fittings, valves and other components. The following methods and regulations
were applied: API RP14E recommended practice for maximum allowable velocity;
MSZ EN 13480-3 standard and 2/2010. (I. 14.) KHEM edict for wall thickness;
and Beggs & Brill method for pressure drop calculations. The final inner and outer diameter
of the pipe is the result of an iterative process. Figure 37 shows the steps of the iteration.
Figure 37 Process of pipeline sizing Own edit
Diameter of the pipe depends on the maximum allowable velocity – erosion velocity –
and pressure drop of the fluid. Flow velocity is restricted in order to avoid erosion of the
pipe wall, reduce noise and allow corrosion inhibition; minimalization of pressure drop
decreases the pressure boosting requirements. In Eq. 80 ‘C’ is empirical constant, its value
depends on the material of pipe, operation continuity and solid content of the fluid.
vmax =C
√ρ (80)
In case of carbon steel and continuous operation ‘C’ equals 122. [43] As one can see in
Table 12, the fluid velocities are lower than vmax in each case, the selected diameter fulfills
the velocity condition.
Determination of vmax
based on density
Selection of nominal
diameter
Pressure drop
calculation
Pressure drop
requirement
fullfilled?
No
Yes
Wall thickness
calculation
Inner and outer
diameter determination
Pressure drop and
maximum velocity
requirements fullfilled?
Yes
End of process
No
Maximum velocity
requirement fullfilled?
Yes
NoSelection of different
nominal diameter
56
Table 11 ‘C’ values for maximum velocity calculation Source: [43]
Condition Value of C
Carbon steel, continuous operation 122
Carbon steel, periodic operation 150
Stainless steel or duplex, continuous operation 250
Stainless steel or duplex, periodic operation 400 – 450
Wall thickness determination follows the process presented in [39]; applied safety factor
determined by [44]. As CO2 is not stable liquid at atmospheric conditions and the pipeline
is not in built-up area the applied safety factor is 1.4.
Table 12 Pipeline parameters – dehydrated gas
Parameter Dense phase Supercritical phase
Volume flow [STDm3/h] 9 838 9 838
Length of pipe [m] 10 000 10 000
Inner diameter [mm] 101.7 101.7
Inlet pressure [barg] 109.3 111.7
Outlet pressure [barg] 105.3 104.7
Pressure drop [bar] 4.0 7.0
Inlet temperature [°C] 30 50
Outlet temperature [°C] 7.8 38.58
Inlet density [kg/m3] 611.9 376.5
Outlet density [kg/m3] 879.9 475.9
Inlet vmax [m/s] 4.932 6.288
Outlet vmax [m/s] 5.981 5.592
Inlet velocity [m/s] 0.998 1.622
Outlet velocity [m/s] 0.694 1.283
Weight of pipe [kg] 16 673 16 673
Insulation required No Yes
Insulation thickness [mm] – 25
Insulation thermal conductivity [W/(mK)] – 0.04
MRU required Yes No
MRU cooling duty [kWth] 457.5 –
57
As one can see, the same pipe dimensions are applicable both for dense and supercritical
phases, the difference between compression duties are negligible. The final decision is based
on economic evaluation. The results are detailed in Chapter 3.8.
Table 13 Safety factors Source: [44]
Area If the substance is stable liquid at
atmospheric condition
If the substance is unstable liquid
and gas at atmospheric condition
Built-up area 1.7 2.0
Object of virtu 1.7 2.0
Other area 1.3 1.4
Table 14 Wall thickness parameters – dehydrated gas
Parameter Dense phase Supercritical phase
Material grade [–] P355N P355N
Yield stress [MPa or N/mm2] 355 355
Safety factor [–] 1.4 1.4
Design stress [MPa or N/mm2] 253.6 253.6
Calculation pressure [barg] 120 120
Calculation temperature [°C] 30 50
Outer diameter [mm] 114.3 114.3
Inner diameter [mm] 101.7 101.7
Joint efficiency [–] 1 1
e [mm] 2.70 2.70
c0 [mm] 2 2
c1 [mm] 1 1
c2 [mm] 0 0
e+c0+c1+c2 [mm] 5.70 5.70
eord [mm] 6.3 6.3
58
3.5. Case 1.2 – Inhibitor Injection to the Wet Stream
The previous chapters discussed the scenario, when the water is removed from the
mixture, thus solving the corrosion and hydrate formation hazard. Application of chemicals
as inhibitor proved to be economical solution for preventing hydrate formation. This chapter
investigates this alternative solution.
Hydrate formation was investigated both with Ng & Robinson and CSM methods, the
results presented by Figure 38. CSM failed to accurately predict the hydrate formation.
The hydrate formation depends on the ratio of the hydrate forming components, not on the
water content. Water content influences the quantity of hydrate formed. The formation
temperature difference between the dehydrated and wet gas (green continuous and dashed
lines) is clearly overestimated. The method also failed in the vicinity of critical point. Further
calculations were not made with this method.
Based on Ng & Robinson method the hydrate formation temperature at the operation
pressure – 110-100 barg – is ~16-17 °C. During normal operation this temperature should
not be reached. This only can occur in case of dense liquid phase operation, as the in order
to transport the substance in supercritical phase, the temperature have to be greater than the
critical temperature (~28 °C).
Figure 38 Hydrate formation conditions Own edit
Hydrate prevention calculations were made for winter – ambient temperature = 5 °C –
and summer – ambient temperature = 15 °C – conditions. At winter the heat loss is greater,
the substance is cooled more effectively by the environment. From hydrate formation point
59
of view, winter operation is the worst scenario. This is the opposite as it would be for natural
gas. Natural gas conditioning involves the cooling of the gas thus, the pipe inlet temperature
is low. At summer the greater ambient temperature causes faster temperature increment, the
gas will reach the hydrate formation temperature sooner.
Accounting in the accuracy of the methods, 5 °C difference between the operational
minimum temperature and the hydrate formation temperature was determined as safety.
The required inhibitor – methanol and EG – quantity was determined for summer and winter
operation, with and without dehydration. The values presented in Table 15 were calculated
with Eq. 11 – 13 from Chapter 2.3.3.1.2.
From Table 15 several conclusions become clear. Winter operation has greater inhibitor
requirement. For inhibition, methanol is more economical solution as it has lower cost
(see Table 21) and lower required quantity.
If the gas is not dehydrated, application of inhibitor is essential in order to avoid hydrate
plugs. If the water is removed from the system one can state with high certainty, that this
low water mass flow will not cause any restriction in the system during normal operation.
Inhibitor may be needed in case of pressurizing or depressurizing the pipeline.
If inhibitor is added to the stream, the same pipe dimensions are applicable as it was for
dehydrated gas. Special polymer coating is suggested to protect the inner wall against
corrosion.
Table 15 Inhibitor requirement for dense liquid phase
Dehydrated Not dehydrated
Water mass flow [kg/h] 0.375 21.43
Hydrate formation temperature [°C] 17 17
Summer (Tamb=15 °C)
Minimum system temperature [°C] 16.89 16.89
Required formation temperature [°C] 11.89 11.89
Methanol required [kg/h] 0.05 2.70
Ethylene glycol required [kg/h] 0.09 5.24
Winter (Tamb=5 °C)
Minimum system temperature [°C] 7.75 7.75
Required formation temperature [°C] 2.75 2.75
Methanol required [kg/h] 0.13 7.54
Ethylene glycol required [kg/h] 0.26 14.62
60
3.6. Case 1.3 – No Dehydration nor Inhibition
As it was discussed in Chapter 3.5, operation without dehydration or inhibition only
possible if the gas is transported in supercritical phase. For this scenario the same pipeline
sizing calculation were made, as before. For additional safety, greater corrosion allowance
was determined, and the inner wall of the pipe is coated with special polymer.
With the greater corrosion allowance the minimal required wall thickness was greater
than the used before (6.3 mm), a next standard thickness (8 mm) had to be used. The greater
wall thickness reduced the inner diameter, causing greater pressure drop. The outlet pressure
was not sufficient with the DN100 pipe, instead DN150 was used. The greater diameter
reduced the pressure drop, on the hand the capital cost increased.
Table 16 Pipe data – not dehydrated gas
Parameter Supercritical phase Unit
Volume flow 9 854 STDm3/h
Inner diameter 152.3 mm
Outer diameter 168.3 mm
Inlet pressure 112.6 barg
Outlet pressure 111.6 barg
Pressure drop 1.0 bar
Inlet temperature 50 °C
Outlet temperature 37.05 °C
Inlet density 399.7 kg/m3
Outlet density 546.0 kg/m3
Inlet maximum velocity 6.102 m/s
Outlet maximum velocity 5.221 m/s
Inlet velocity 0.682 m/s
Outlet velocity 0.4992 m/s
Weight of pipe 31 424 kg
Insulation thickness 25 mm
Insulation thermal conductivity 0.04 W/(mK)
Corrosion allowance 3 mm
eord 8.0 mm
61
3.7. Case 2. – Emitting the Carbon to the Atmosphere
The chapters before dealt with the problems of dehydration and transportation. As an
alternative, emission of CO2 to the atmosphere was investigated.
3.7.1. The EU Emissions Trading System
The EU Emissions Trading System (EU ETS) is a ‘cap and trade’ system. The EU ETS
legislation creates allowances, which are essentially rights to emit greenhouse gases
equivalent to the global warming potential of 1 tonne of CO2 (tCO2e). The system allows
trading of allowances, so that the total emissions of the installations and aircraft operators
stays within the cap and the least-cost measures can be taken up to reduce emissions. The
level of the cap determines the number of allowances available in the whole system.
It is a major tool of the European Union in its efforts to meet emissions reductions targets
now and into the future. As the first and largest emissions trading system for reducing GHG
emissions, the EU ETS covers more than 11 000 power stations and industrial plants
in 31 countries, and flights between airports of participating countries.
Each year, a proportion of the allowances are given to certain participants for free, while
the rest are sold, mostly through auctions. At the end of a year the participants must return
an allowance for every ton of CO2e they emit during that year. If a participant has insufficient
allowances, then it must either take measures to reduce its emissions or buy more allowances
on the market. Participants can acquire allowances at auction, or from each other.
The System caps the total volume of GHG emissions from installations and aircraft
operators responsible for around 50% of EU GHG emissions. Heavy energy-using
installations consisting power generation – power stations and other combustion plants with
≥20 MW thermal rated input (except hazardous or municipal waste installations) –;
oil refineries and gas plants; carbon capture, transport in pipelines and geological storage;
manufacturing – coke ovens, iron and steel, cement clinker, glass, lime, bricks, ceramics,
pulp, paper and board –; aviation sector; aluminium sector; petrochemicals and other
chemicals – ammonia, nitric, adipic and glyoxylic acid production – are all under the
restriction of the EU ETS.
3.7.2. Quantity of Emitted CO2
Let’s assume that the GSU is under the restriction of the EU ETS and must pay the
allowance price. By the 2/2010 KHEM edict, hydrocarbon as a flammable hazardous gas,
cannot be emitted to the atmosphere, the gas mixture must be flared, and the allowance is
payed after the total emitted CO2. The flaring system is already available.
62
First, one has to calculate the total emitted CO2. Assume chemically perfect burning, thus
stochiometric ratios can be used. Based on the general equation of the perfect combustion of
paraffins the total quantity of CO2 can be calculated.
CnH2n+2 + (3n + 1
2)O2 → n CO2 + (n + 1)H2O (81)
Total 9 845 STDm3/h waterless gas leaves the GSU. As the molar and volume percent of
gases are equal, based on the composition in Table 6 and on the molar volume the gas
mixture – calculated from Eq. 16 Vm@15°C, 101325Pa, Z=0.9946 = 23.64 m3/kmol – the molar flow
of each component can be calculated. From Eq. 81 one can see that the mole of formed
carbon dioxide is equal to the moles of carbon can be found in the original hydrocarbon
molecule. The formed carbon dioxide is the product of the molar weight and mole of CO2.
The total emission is the sum of the inherent and the formed carbon dioxide. Table 17
summarizes the values and steps of the calculation.
Table 17 Determination of CO2 emission
Mole/ Volume
fraction [-]
Volume flow
[m3/h]
Molar flow
[kmol/h]
Molar flow of
CO2 [kmol/h]
Mass flow of
CO2 [kg/h]
C1 0.04021 396 16.84 16.84 740.93
C2 0.00235 23 0.98 1.97 86.60
C3 0.00092 9 0.39 1.16 50.86
C4 0.00054 5 0.23 0.90 39.80
C5 0.00024 2 0.10 0.50 22.11
C6 0.00131 13 0.55 3.29 144.83
C7 0.00030 3 0.13 0.88 38.70
C8 0.00007 1 0.03 0.23 10.32
CO2 0.95271 9 380 398.89 398.89 17 555.03
N2 0.00135 13 0.57 0.00 0.00
Total 1.0000 9 845 419 425 18 689
The 18 689 kg/h multiplied by 8 400 – total working hours in a year – gives the total
annular emission as 156 989 116 kg/year or 156 989 ton/year. This value can be assumed as
constant, the cost of ETS allowance was calculated based on this emission.
63
3.8. Economic Evaluation Sub-Cases
Since the GSU is the source of the gas mixture, its expenditures are excluded in all cases.
Total cost can be divided into two groups, OPEX – including energy (electricity and gas),
chemicals and maintenance – and CAPEX – capital cost of apparatus – of air coolers,
compressors, heat exchangers, separators, towers etc. For OPEX calculation, the specific
costs are presented in Table 21, the CAPEX cost of different technological units can be
found in Table 20. Cost of propane for MRU was neglected, as a petroleum company do not
have to buy this substance.
Personal costs are neglected, as the dehydrator technology will be part of the existing
plant. Maintenance is considered as 1.5% of total CAPEX. The price of consumables
– chemicals and energy– was inflated by 1.5% annually. Total 10 years of operation was
investigated.
With air coolers the lowest achievable process stream temperature is 10 °C greater, than
the inlet air temperature. This means, when the average ambient temperature is below 15 °C,
the required 25 °C – inlet temperature of TEG unit – is achievable without the MRU. The
OPEX of the MRU was accounted in only for 6 months annually.
The considered injected methanol quantity was determined as the values presented in
Table 15 multiplied by 1.3 to cover the vaporization and additional losses.
Based on the phase of CO2 during transportation, Case 1.1 – 1.3 can be divided into a)
and b) options, where a) means carbon dioxide transported in dense liquid phase, b) mean it
transported in supercritical phase. In option a) additional cooling is required to reduce the
temperature below the critical, in b) the pipeline covered with heat insulation to keep the
temperature above the critical temperature.
Case 1.1 a) and b) – water removal – technically feasible, there is financial difference.
In Case 1.2 – water is not removed, but inhibitor is added to the stream – in option a) hydrate
will form, methanol is required, in option b) the temperature is high enough to prevent the
hydrate formation, on the other hand corrosion could damage the pipe, inner polymer coating
and greater corrosion allowance were used. Case 1.3 – when the water was not removed;
inhibitor was not added – only feasible in option b), as in option a) hydrate could plug the
pipeline. Polymer inner coating and greater corrosion allowance were used. Case 1.2 b) and
Case 1.3 b) essentially the same, thus reducing the technically feasible scenarios to five –
1.1a, 1.1b, 1.2a, 1.2b and 2.
64
For Case 2. the EU ETS allowance price used, is the average value of the prices published
in [45] and [46]. Based on historical data (see Figure 65) the forecasts did not prove to be
accurate. More up to date long-term forecast was not accessible. To forecast accurate
allowance prices, is not in the scope of this study. These estimates are always reevaluated
and published – like in [47] – by professional analysts, who follow the recent events.
Figure 39 Cost of sub-cases Own edit
Table 18 CAPEX, OPEX, total costs and break-even allowance prices of the sub-cases
Case
Number
CAPEX
[thEUR]
1st year OPEX
[thEUR]
Total Cost
[thEUR]
Break-even allowance price
[EUR/tCO2e]
Case 1.1a 9 829 1 241 23 116 14.80
Case 1.1b 9 602 1 177 22 200 14.21
Case 1.2a 8 913 1 363 23 519 15.06
Case 1.2b 8 887 1 253 22 297 14.28
Case 2 – 4 160 61 304 –
The financial results of the scenarios are close to each other, the greatest difference is
~1.3 million EUR. This difference is within the error range of estimation, considering the
depths of design. It is also obvious, that every solution has greater result, than emitting the
CO2 to the atmosphere and pay the allowance. This is mainly due to the size of the plant and
the fact the most cost intensive technological unit – carbon capture – was not part of the
study. As the total cost of scenarios, the break-even prices are close to each other as well.
65
4. Conclusion and Discussion
The aim of this work was to investigate and compare the options of a water removal and
transportation system for a water saturated CO2 rich gas mixture. For this purpose, an
extensive literature review was carried out. It included the relevant properties of carbon
dioxide; conditions and circumstances of gas hydrate formation and prediction methods;
comparison of different glycols used in dehydration; and different solutions of CO2
transportation, emphasizing the types of pipeline transportation.
In order to quantify the different scenarios a case study was made, including a wide-
spread process simulation model, built with ASPEN HYSYS® v12. Several alternative
scenarios – different chemicals, different processes and solutions – were investigated,
the total costs of 10 years of operation – capital and operational – were compared.
Based on the financial results presented in Chapter 3.8, the suggested method for this
specific problem is to dehydrate the gas with TEG and transport it in supercritical phase to
the end point. This conclusion can be changed with more detailed design process. One should
also bear in mind the following factors have great influence:
- The most cost intensive technology, the carbon capture was not part of the study.
Based on the size of the topic, it could be an independent study.
- For the study, preliminary design was made. The accuracy of this depth cannot be
compared to the accuracy of a detailed design.
- The capital and operational costs are low, due to the size of the plant. A plant this
small could be a pilot plant, in which case positive financial results are not targeted.
- The pipeline is relatively short, cannot be compared to long range pipelines.
- Chemical inhibitors could be economical alternative if the end point allows their
application. However, if the end point is a utilization facility, chemical inhibitors
could pollute the substance, their application should be avoided. Feasibility of
inhibitors also highly depending on the quantity. As the CAPEX and OPEX of
dehydration is not linear with the capacity, the required inhibitor quantity, thus the
cost is linear.
From the study the following conclusion can be drawn:
- Dehydration has great influence on the total cost.
- Chemical inhibitors could be economical alternative for lower quantities, but it may
be not the case for greater amount of gas.
66
The following recommendations are made for further studies:
- Investigation of different chemicals e.g. glycerol and different water removal
processes e.g. molecule sieves.
- Investigation of the effect of the gas quantity, thus the size of the plant.
- Investigation of the effect of transportation distance.
The case study justified the usage of the following methods:
- Figure 15 - 17 for rough determination of TEG requirement, as the results predicted
by them are close to the simulation.
- Results of DEG and TEG calculations – quantity, remaining water content, strip gas
requirement etc. – are consistent with values given in the open literature – e.g. [11]
[29] and [42] –; CPA EoS can predict the reactions of these materials accurately.
On the other hand, it revealed some limitations and errors of published methods.
These are:
- CPA EoS failed to predict the remaining water content of the processed gas stream,
if the TREG quantity was reduced to 60 kg/h or below. The absorber and regenerator
towers could not converge without significantly reducing the error tolerance. This
made the results unreliable.
- The CSM method failed to accurately predict the hydrate formation conditions
– pressure and temperature – of the high CO2 content gas.
- Both CPA and Sour-SRK EoS failed to accurately predict the inhibitor requirement
both for dehydrated and not dehydrated gas.
67
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70
Appendix A – Final Configuration of TEG Unit
Table 19 TEG unit parameters
Parameter Value Unit
Inlet Gas
Pressure 40.5 barg
Temperature 25 °C
Water content 602.4 mg/STDm3
Volume Flow 9 851 STDm3
Mass Density 92.52 kg/m3
Outlet Gas
Pressure 40.35 barg
Temperature 25.65 °C
Water content 40.17 mg/STDm3
49.98 ppmv
Volume Flow 9 839 STDm3
Lean TEG
Pressure 41.5 barg
Temperature 24.80 °C
Concentration 98.85 wt%
Mass Flow 93.15 kg/h
Rich TEG
Pressure 40.5 barg
Temperature 25.52 °C
Concentration 84.43 wt%
Mass Flow 108.9 kg/h
T-100 contactor tower
Number of theoretical stages 4 –
Head pressure 40.35 barg
Head temperature 25.80 °C
Bottom pressure 40.5 barg
Bottom temperature 26.56 °C
Type of contractor Structured Packing –
71
Thickness of one packing unit 200 mm
Additional allow space 3 m
Cbubble tray 176 –
Cstructured packing 384 –
Specific area of the packing (As) 300 m2/m3
Diameter 700.0 mm
Height 8 500 mm
T-101 regenerator tower
Reboiler temperature 204 °C
Reboiler Duty 41.91 kWth
Head temperature 62.39 °C
Strip gas mass flow 35 kg/h
Other equipment
TEG pump duty 0.13 kWe
R/L TEG heat exchanger duty 12.61 kWth
72
Appendix B – Cost of Materials
All values are based on previous informational bids and existing technologies. The values
have been modified with an unpublished multiplier in order to respect secrecy.
Table 20 Fixed costs
Apparatus Cost Currency
Pressure Boosting (1st – 3rd stage) 4 356 thEUR
Pressure Boosting (4th stage) 1 425 thEUR
Mechanical Refrigeration Unit 1 375 thEUR
Mechanical Refrigeration Unit (with dense phase condenser) 1 709 thEUR
Glycol Unit 910 thEUR
Table 21 Specific costs
Cost Element Cost Currency
Electricity 82 EUR/kWh
Methanol 700 EUR/ton
EG 910 EUR/ton
DEG 1 050 EUR/ton
TEG 1 400 EUR/ton
TREG 4 550 EUR/ton
Propane 570 EUR/ton
Table 22 EU ETS allowance cost
Year Average Annular Price Currency
2021 26.5 EUR/ton
2022 30 EUR/ton
2023 34.5 EUR/ton
2024 37 EUR/ton
2025 37.5 EUR/ton
2026 38 EUR/ton
2027 40 EUR/ton
2028 45 EUR/ton
2029 50 EUR/ton
2030 52 EUR/ton
73
Appendix C – Additional Graphs
Figure 40 Density of CO2 – high resolution Own edit
Figure 41 Viscosity of CO2 – high resolution Own edit
74
Figure 42 Heat capacity of CO2 – wide interval Own edit
Figure 43 Mass enthalpy of CO2 Own edit
75
Figure 44 Mass entropy of CO2 Own edit
Figure 45 Pressure – Temperature diagram of gas mixture Own edit
76
Figure 46 Water content of gas mixture (low temperature) Own edit
Figure 47 Water content of gas mixture (high temperature) Own edit
77
Figure 48 Reboiler duty vs strip gas quantity (relative) Own edit
Figure 49 Reboiler duty vs strip gas temperature (relative) Own edit
78
Figure 50 Remaining water content vs contractor temperature (DEG) Own edit
Figure 51 DEG mass fraction vs strip gas quantity Own edit
79
Figure 52 Remaining water content vs strip gas quantity (DEG) Own edit
Figure 53 DEG mass fraction vs mass flow Own edit
80
Figure 54 Reboiler duty vs DEG mass flow Own edit
Figure 55 DEG mass fraction vs reboiler temperature with different strip gas quantities Own edit
81
Figure 56 Absorber performance at lean DEG concentration of 98.85 wt% Own edit
Figure 57 Remaining water content vs contractor temperature (TREG) Own edit
82
Figure 58 TREG mass fraction vs mass flow Own edit
Figure 59 Remaining water content vs strip gas quantity (TREG) Own edit
83
Figure 60 TREG mass fraction vs strip gas quantity Own edit
Figure 61 TREG mass fraction vs reboiler temperature with different strip gas quantities Own edit
84
Figure 62 Absorber performance at lean TREG concentration of 97.85 wt% Own edit
Figure 63 Glycol viscosity – wide interval Own edit
85
Figure 64 Glycol viscosity – tight interval Own edit
Figure 65 EU ETS allowance historical prices and forecast Based on: [48]