+ All Categories
Home > Documents > Thursday 14th - lps.org.uk€¦ · and Negah Arjmandpour for their efforts. Next year we introduce...

Thursday 14th - lps.org.uk€¦ · and Negah Arjmandpour for their efforts. Next year we introduce...

Date post: 30-Apr-2020
Category:
Upload: others
View: 1 times
Download: 0 times
Share this document with a friend
16
1 Dear members, and friends of the LPS, Our final One Day Seminar for the year will be held on 14th December, with the title ‘Everything Formation Testing’. We have a remarkable agenda lined up for next Thursday (see page 2), so this is definitely not one to miss! Registration forms have already been distributed, and are also available on our website. Following this Seminar will be our annual ‘President’s Evening’ at the King’s Head, kindly sponsored by Gaia, Schlumberger, and Baker Hughes. This is a free event with drinks and finger food provided, and partners are most welcome to join us for the Christmas cheer. See the official invitation on page 3. This month’s technical article is ‘Rock Typing in Carbonate Reservoirs’, authored by Jonathan Hall who has previously held the office of VP Technology in LPS (twice). It is an informative and authoritative work, starting on page 7. Thankyou to all who attended our Annual General Meeting on 21st November, and also to those who had mailed in their postal ballot to successfully update Article 13 in our Constitution. As we presented, our income from both One Day Seminars & Sponsorship has fallen significantly. So we have introduced a range of measures to stabilize our financial situation, among these are cancellation of the free New Technology seminar in January, and relocation of Evening meetings to the smaller ‘Council Room’ in the Geological Society. In addition I anticipate that income from the 2018 SPWLA Annual Symposium will replenish the coffers. I would like to thank out-going Executive Committee members Carole Reynaud and Negah Arjmandpour for their efforts. Next year we introduce Shyam Ramaswami as Officer of Sponsorship, and welcome back incoming President Mike Millar. Mike first joined the LPS in 2005, and was President in 2012/13, so I am confident of leaving the leadership of our Society in good hands. Thankyou for the journey over the last two years, and I wish you the best in our fascinating pursuit of both the scientific and technical aspects of formation evaluation. Best Regards, Michael O’Keefe Michael O’Keefe - LPS President London Petrophysical Society: Newsletter 2017-12 1 www.lps.org.uk Technology Dawn Houliston [email protected] Seminars Joanne Tudge [email protected] Membership Sharan Dhami [email protected] External Liason Brian Moss [email protected] Newsletter Jenny Rastogi [email protected] Publications Carole Reynaud [email protected] Website Anne Denoyer [email protected]
Transcript
Page 1: Thursday 14th - lps.org.uk€¦ · and Negah Arjmandpour for their efforts. Next year we introduce Shyam Ramaswami as Officer of Sponsorship, and welcome back incoming President Mike

1

Dear members, and friends of the LPS, Our final One Day Seminar for the year will be held on 14th December, with the title ‘Everything Formation Testing’. We have a remarkable agenda lined up for next Thursday (see page 2), so this is definitely not one to miss! Registration forms have already been distributed, and are also available on our website. Following this Seminar will be our annual ‘President’s Evening’ at the King’s Head, kindly sponsored by Gaia, Schlumberger, and Baker Hughes. This is a free event with drinks and finger food provided, and partners are most welcome to join us for the Christmas cheer. See the official invitation on page 3. This month’s technical article is ‘Rock Typing in Carbonate Reservoirs’, authored by Jonathan Hall who has previously held the office of VP Technology in LPS (twice). It is an informative and authoritative work, starting on page 7. Thankyou to all who attended our Annual General Meeting on 21st November, and also to those who had mailed in their postal ballot to successfully update Article 13 in our Constitution. As we presented, our income from both One Day Seminars & Sponsorship has fallen significantly. So we have introduced a range of measures to stabilize our financial situation, among these are cancellation of the free New Technology seminar in January, and relocation of Evening meetings to the smaller ‘Council Room’ in the Geological Society. In addition I anticipate that income from the 2018 SPWLA Annual Symposium will replenish the coffers. I would like to thank out-going Executive Committee members Carole Reynaud and Negah Arjmandpour for their efforts. Next year we introduce Shyam Ramaswami as Officer of Sponsorship, and welcome back incoming President Mike Millar. Mike first joined the LPS in 2005, and was President in 2012/13, so I am confident of leaving the leadership of our Society in good hands. Thankyou for the journey over the last two years, and I wish you the best in our fascinating pursuit of both the scientific and technical aspects of formation evaluation. Best Regards,

Michael O’Keefe

Michael O’Keefe - LPS President

London Petrophysical Society: Newsletter 2017-12 1 www.lps.org.uk

Technology

Dawn Houliston

[email protected]

Seminars

Joanne Tudge

[email protected]

Membership

Sharan Dhami

[email protected]

External Liason

Brian Moss

[email protected]

Newsletter

Jenny Rastogi

[email protected]

Publications

Carole Reynaud

[email protected]

Website

Anne Denoyer

[email protected]

Page 2: Thursday 14th - lps.org.uk€¦ · and Negah Arjmandpour for their efforts. Next year we introduce Shyam Ramaswami as Officer of Sponsorship, and welcome back incoming President Mike

2

www.lps.org.uk London Petrophysical Society: Newsletter 2017-12 2

Thursday 14th

Dec 2017

9:00 am –5:00pm

Tuesday 6th Feb

2018

6:30pm-730pm

Holger Thern,

Baker Hughes

Everything

Formation Testing

Thursday 14th December 2017

The Geological Society, Burlington House,

London

£150 for delegates (Speakers exempt)

(LPS is not VAT registered) Students can register for free

Includes lunch and post-seminar wine and savouries. Doors open at 9am.

For more info or to register for this event please visit www.lps.org.uk/events/

Page 3: Thursday 14th - lps.org.uk€¦ · and Negah Arjmandpour for their efforts. Next year we introduce Shyam Ramaswami as Officer of Sponsorship, and welcome back incoming President Mike

3

3 www.lps.org.uk London Petrophysical Society: Newsletter 2017-12

Technology

Dawn Houliston

[email protected]

Seminars

Joanne Tudge

[email protected]

Membership

Sharan Dhami

[email protected]

External Liason

Brian Moss

[email protected]

Newsletter

Jenny Rastogi

[email protected]

Publications

Carole Reynaud

[email protected]

Website

Anne Denoyer

[email protected]

The London Petrophysical Society

Cordially invites you to our annual

“Presidents Evening”

Thurs 14th December 5:30pm

Members & Guests are welcome!

The Kings Head

10 Stafford Street, Mayfair, W1S 4RX

(5 mins walk from the Geological Society)

Please note that we have reserved the

room downstairs exclusively for us.

Page 4: Thursday 14th - lps.org.uk€¦ · and Negah Arjmandpour for their efforts. Next year we introduce Shyam Ramaswami as Officer of Sponsorship, and welcome back incoming President Mike

4

4 www.lps.org.uk London Petrophysical Society: Newsletter 2017-12

Thursday 14th Dec

2017

9:00 am –5:00pm

Tuesday 6th Feb

2018

6:30pm-730pm

Holger Thern, Baker

Hughes

“Integrated Gas and Oil Zone Evaluation using

NMR, Conventional, and Mud Gas Logging Data – A Norwegian Logging-While-Drilling Case

History”

Presented by

Holger Thern, Baker Hughes

Tues 6th February 2018 6:30pm—730pm

The Geological Society, Burlington House, Piccadilly

Refreshments will be available from 6pm.

Wine & Savouries will be provided after the presentation,

which we would be delighted for you to join us for.

- Free Entry -

Full Abstract and bio available online at

http://lps.org.uk/events/integrated-gas-and-oil-

zone-evaluation-using-nmr-conventional-and-

mud-gas-logging-data-a-norwegian-logging-while-

drilling-case-history/

Page 5: Thursday 14th - lps.org.uk€¦ · and Negah Arjmandpour for their efforts. Next year we introduce Shyam Ramaswami as Officer of Sponsorship, and welcome back incoming President Mike

5

5 www.lps.org.uk London Petrophysical Society: Newsletter 2017-12

Technology

Dawn Houliston

[email protected]

Seminars

Joanne Tudge

[email protected]

Membership

Sharan Dhami

[email protected]

External Liason

Brian Moss

[email protected]

Newsletter

Jenny Rastogi

[email protected]

Publications

Carole Reynaud

[email protected]

Website

Anne Denoyer

[email protected]

The LPS would like to extend a big thankyou to our departing President

Michael O’Keefe, and to the departing committee members Carole Reynaud & Negah Arjmandpour.

In 2018 we welcome Mike Millar and Shyam Ramaswami to the committee.

Page 6: Thursday 14th - lps.org.uk€¦ · and Negah Arjmandpour for their efforts. Next year we introduce Shyam Ramaswami as Officer of Sponsorship, and welcome back incoming President Mike

6

6 London Petrophysical Society: Newsletter 2017-12 www.lps.org.uk

Tuesday 21st Nov

2017

6:30pm-730pm

Prof Ruth Morgan

UCL

Thursday 14th

Dec 2017

9:00 am –5:00pm

The benefits of participating in the industry’s largest

gathering of Petrophysicists and Formation Evaluation

Specialists include:

• Exposure to a large local, national and international

audience of decision makers

• Opportunities to raise your company’s profile

amongst a valuable target audience

• Recognition of your organization’s demonstrated

involvement, commitment and support of the

industry

• Opportunities for your staff to exchange ideas and

discuss constantly evolving technologies with their

professional peers

• Valuable insights, information and exposure to the

latest technical and marketing developments, in the

presentations and posters, and in the Exhibits Hall

Check out our website for a full list of Symposium sponsorship opportunities or contact;

Dr. Kate Hatfield, Sponsorship Committee Chair

www.SPWLA2018.com

Page 7: Thursday 14th - lps.org.uk€¦ · and Negah Arjmandpour for their efforts. Next year we introduce Shyam Ramaswami as Officer of Sponsorship, and welcome back incoming President Mike

7

Jonathan Hall ([email protected])

7 London Petrophysical Society: Newsletter 2017-12 www.lps.org.uk

Technology

Dawn Houliston

[email protected]

Seminars

Joanne Tudge

[email protected]

Membership

Sharan Dhami

[email protected]

External Liason

Brian Moss

[email protected]

Newsletter

Jenny Rastogi

[email protected]

Publications

Carole Reynaud

[email protected]

Website

Anne Denoyer

[email protected]

Introduction

Petrophysical analysis by simultaneous

solution of logging response equations was

introduced over 30 years ago (Mayer and Sibbit). The logging response equations

embedded within the solution computation

follow similar forms to those previously

used in stepwise, so-called ‘deterministic’

workflows; viz. solving simple linear mixing

laws, for the most part, for ease of inversion.

where, Lbulk = tool measurement response to bulk rock and

fluids LMINi = tool measurement response to 100% ith mineral

LFLUIDj= tool measurement response to 100% jth fluid fMINi = the fractional volume of mineral i fFLUIDj = the fractional volume of fluid j

However, we observe that some

measurement-porosity relationships follow

a non-linear path in carbonate pore types. In the case of elastic moduli, measured or

derived from acoustic logs, the moduli-

porosity relationship, lies between the

Reuss and the modified Voigt boundary (see

below), influenced by the presence of

specific microstructures. Other more

rigorous bounds, such as Hashin-Shtrikman narrow these and a modified

upper Voigt bound may be necessary for

porous media above the Nur critical

porosity, fc, above which the composite

stops being a framework and becomes a suspension.

The implication of this is, that for a given

modulus measurement, porosity cannot be

accurately determined, using conventional

linear response equations, without knowledge of the microstructure of the

composite; its rock type, in effect.

Porosity could, however, be inferred to lie

between these or other rigorous bounds. However, if an accurate mixing law is

developed and rock type identified, then

porosity can be determined, or, conversely,

if effective porosity is, independently,

known then the rock fabric may be

inferred. For a single measurement this argument may become circular, but with

the addition of multiple logging tool

measurements, each with their own mixing

laws established, unique indications of rock type, could be extracted directly from bulk

log measurements. Corroboration provided

from visual observation on core, cuttings or

image logs provides additional constraint.

Current and future research and software development for characterisation of

carbonates will, likely, exploit simultaneous

non-linear global inversion of multiple

logging measurements, using more

advanced mixing laws, bounds and cross-correlations constrained by observations in

core, cuttings and image logs. We may have

to employ machine learning applications for

initial microstructure selection prior to

model testing.

The parameters this will yield, will go far

beyond volume fraction information: matrix

and fluid elements, and could yield much

more important insights about rock fabric

and pore structure: storage capacity and related flow capacity. Porosity evolution

and diagenesis products, that describe rock

fabric within a stratigraphic framework

could be unlocked.

Rock Typing in Carbonates: Traditional Approaches

Rock typing schemes for carbonates have been developed for over half a century and

were initially based upon description in

hand or thin section of grain size (Archie,

Dunham), observed pore size (various) and

linkage to permeability (Lucia, Lonoy). Ed Clerke looked at the importance of pore

throat size. Some rock typing schema

recognise post deposition diagenetic

changes to original fabric.

Some carbonate rock typing schemes commonly cited.

i j

FLUIDFLUIDjMINMINbulk iiiff

Page 8: Thursday 14th - lps.org.uk€¦ · and Negah Arjmandpour for their efforts. Next year we introduce Shyam Ramaswami as Officer of Sponsorship, and welcome back incoming President Mike

8

Jonathan Hall ([email protected])

8 London Petrophysical Society: Newsletter 2017-12 www.lps.org.uk

Tuesday 21st Nov

2017

6:30pm-730pm

Prof Ruth Morgan

UCL

Thursday 14th

Dec 2017

9:00 am –5:00pm

Yet for all this, the standard static model

build for a carbonate reservoir follows a

conventional workflow based upon observation and description of recovered

core/drill cuttings or outcrop analogues, or

to a lesser degree image logs, to establish

depositional or diagenetic facies and facies associations. Subsequent to this,

multivariate statistical techniques and log

measurements are used proxy to infer the presence of a particular prior-observed rock

type. Thereafter, or indeed as part of the

rock type recognition process, petrophysical

properties, in particular, seismic and

geomechanical properties, storage and flow capacity are calculated; these being the

important determinants of a successful

exploration or field development project.

The purpose of rock typing, then, is to use

log measurements as proxies to direct observation and has two elements;

• To fill in the gaps, intra-well, between

textures and reservoir quality indicators

observed in cored intervals to un-cored

intervals, using log signatures, and to

establish vertical baffles and barriers to

flow/migration based upon stratigraphic and structural

observations and inferences;

• To infer inter-well, spatial and temporal

distribution of reservoir storage

capacity, baffles and barriers to flow,

and seals using geostatistical or, more

recently, deterministic models.

Poor Correlation Between

Mineralogy and Rock Type

The first difficulty that carbonates present

in achieving this, is that important

differences in rock texture that give rise to

variability in storage capacity and deliverability do not necessarily correspond

to observed variations in mineralogy.

Indeed, the mineralogy of a mud dominated

limestone, when compared to that of a

grain dominated limestone, using the Dunham (1962) classification, in a

carbonate platform depositional setting,

may exhibit negligible mineral variation.

Here, there is little marine influenced clay

content or wind blown fine grained clastic, allochthonous (externally derived),

material. In this context, the main observed

components are:

• carbonate grains comprising aragonite, high- or low Mg calcite);

• lime mud/micrite;

• calcite spar cement or , fibrous calcite.

As a consequence of this poor mineral

contrast, successful differentiation between

rock types, may be a problematic exercise, particularly when using legacy density,

neutron and gamma ray log signatures.

Gamma Ray log amplitude variation may be

slight and density and neutron processing

historically yielded a total porosity and little

more in this setting. I will address acoustic logs and resistivity logs in the context of

pore connectivity and transport

phenomena, shortly.

This lack of mineral contrast obfuscating rock texture is not confined to limestone

carbonate platform settings. In 2010, Hall

et al showed that two distinct generations

of dolomite formation had occurred with

vey distinct storage and flow capacity

characteristics.

The Triassic Kurrachine Dolomite

Formation at the Ash Shaer Field,

comprises repeated sequences of

mudrocks, dolomitised carbonate mudstone and wackestone, peritidal

limestones, subaqueous anhydrite and

halite. These were deposited in a restricted

basin that was intermittently connected to

the Neo-Tethys Ocean.

Repeated sequences of mudrocks, dolomitised carbonate mudstone and wackestone, peritidal limestones, subaqueous anhydrite and halite in the

Kurrachine, Ash Shaer Field.

Page 9: Thursday 14th - lps.org.uk€¦ · and Negah Arjmandpour for their efforts. Next year we introduce Shyam Ramaswami as Officer of Sponsorship, and welcome back incoming President Mike

9

Jonathan Hall ([email protected])

9 London Petrophysical Society: Newsletter 2017-12 www.lps.org.uk

Technology

Dawn Houliston

[email protected]

Seminars

Joanne Tudge

[email protected]

Membership

Sharan Dhami

[email protected]

External Liason

Brian Moss

[email protected]

Newsletter

Jenny Rastogi

[email protected]

Publications

Carole Reynaud

[email protected]

Website

Anne Denoyer

[email protected]

Almost all of the observed porosity in the

Kurrachine Dolomite is secondary porosity.

Early dolomitisation processes occurred at shallow depth by seepage of saline brines

associated with evaporite deposition. Burial

dolomitisation processes, such as

displacive dolomite veining, created

euhedral crystal-lined porous and

permeable 'zebra structures’ and dolomite breccias. Results of fluid inclusion studies

suggested that the timing of reservoir

hydrocarbons’ charge was after the late-

stage burial dolomitisation and involves

high temperature hydrothermal fluids.

Zebra fabric ‘rhythmites’ in Middle Kurrachine cored interval.

More textural information may be obtained

from borehole image logs, vertical

interference pressure testing, chemical

tracers and an interesting cased hole log application log, spectral noise logging,

yielding information about connectivity at

hydraulic unit scale and higher; being well-

suited to static and dynamic model builds.

Nuclear magnetic resonance logs, in continuous mode acquisition, may yield a

pore size distribution and, if T2 distribution

can be reliably set, and significant a priori knowledge is available, an irreducible water

saturation, Swir, value may be determined.

Both of these parameters may be useful

indicators in determining storage capacity,

but may yield ambiguous interpretation as

to connectivity or flow capacity unless, they can be independently, calibrated. NMR

offers pore size distribution functions to be

developed.

Pore size distribution modelling from an Aptian platform limestone, Abu Dhabi, SPE165150 2013

Other microstructure correlation functions

can be developed for n-dimensional two phase isotropic media and include: • n-point probability functions

• surface correlation functions • lineal-path function • chord-length density function • pore-size distribution functions • percolation and cluster functions

The Influence of Carbonate Microstructures Many carbonates exhibit random

heterogeneous structure, yet at microscopic

scale may demonstrate some isotropic

repeating structures. The field of study that

unifies, rigorously, both microstructures

and their macroscopic properties has been studied for many natural; biological,

geological and synthetic porous

heterogeneous materials (Torquato 2002).

Page 10: Thursday 14th - lps.org.uk€¦ · and Negah Arjmandpour for their efforts. Next year we introduce Shyam Ramaswami as Officer of Sponsorship, and welcome back incoming President Mike

10

Jonathan Hall ([email protected])

10 London Petrophysical Society: Newsletter 2017-12 www.lps.org.uk

Tuesday 21st Nov

2017

6:30pm-730pm

Prof Ruth Morgan

UCL

Thursday 14th

Dec 2017

9:00 am –5:00pm

Some examples of specific microstructures

with repeating fabric can be found within

the rock type schema suggested above and include:

• intra crystal microfractures

• micrite

• ‘non-touching’ vugs

• ‘touching’ vugs

• fenestral porosity

• ooids and peloids

Four carbonate microstructures: Top, microfractures (Kuwait), 2nd, ooids (Arenque

Mexico), 3rd, non-touching vugs and touching

vugs (both Kuwait), 30X magnification.

Whilst acoustic logging was introduced, in

part, to serve the needs for velocity versus

depth for seismic calibration and for

interpretation of stratigraphy in geophysical

studies, in petrophysics it was seen as

another porosity tool. The inadequacy of the Wyllie-time average model at higher

porosities became evident and the Raymer-

Hunt transform introduced a term to

account for consolidation of the sediments.

The poverty of the Wyllie Time-average equation. The representation of the porous medium

in the Wyllie transform treats the solid and

fluid phases as separate and any

interactions between them are ignored. The

rock is represented as having no pores, so

that concepts of acoustic tortuosity, permeability of pores giving rise to “squirt”

and fluid viscosity are not incorporated.

In 1971, Nur demonstrated the effects of

stress on velocity in porous rock with cracks. Anselmetti and Eberli (1993, 1999,

2012) demonstrated how carbonate

microstructures affect compressional

velocity and that for many carbonate

fabrics the Wyllie time-average equation

underestimate velocity. Baechle et al (SPWLA 2008) suggest that understanding

of this may allow inversion of acoustic or

seismic data to reveal the specific

microstructure giving rise to it.

Pore shape affects acoustic velocity, Modified after Anselmetti and Eberli, 1993,1997.

Page 11: Thursday 14th - lps.org.uk€¦ · and Negah Arjmandpour for their efforts. Next year we introduce Shyam Ramaswami as Officer of Sponsorship, and welcome back incoming President Mike

11

Jonathan Hall ([email protected])

11 London Petrophysical Society: Newsletter 2017-12 www.lps.org.uk

Technology

Dawn Houliston

[email protected]

Seminars

Joanne Tudge

[email protected]

Membership

Sharan Dhami

[email protected]

External Liason

Brian Moss

[email protected]

Newsletter

Jenny Rastogi

[email protected]

Publications

Carole Reynaud

[email protected]

Website

Anne Denoyer

[email protected]

Wang and Nur (1992) note the Wyllie

should not be used in the following

settings:

• Low velocity fluids (gas);

• Fractured rocks: where Vp is lower than

Wyllie predicts

• Rocks with isolated (non-connected

pores): vugular, moldic or fenestral

pores as Vp is higher than Wyllie

predicts;

• Soft and Unconsolidated rocks

Hall and Alvarez (2010) introduced a mixing law based upon an observed trend

between the derived value of the Biot poro-

elastic term, designated a here, and

porosity for a range of carbonate rocks,

principally from France (Bouteca et al 1991

& Laurent et al 1993). In their work they demonstrated that the mixing law

adequately captured variations in bulk

modulus resulting from clastic sorting,

which modifies critical porosity, (Nur et al

1995), which is expressed in the mixing law. It also adequately captures variations

in matrix and fluid bulk modulus arising

from variable mineral matrix and fluid

saturations but no attempt was made, at

the time, to characterise particular

microstructures. The use of this Biot related term and the expression of a further

fitting term, “a”, in their formulation would

allow fitting of data to measurements with

characteristic microstructures. The authors

have found that critical porosity has a maximum of about 43% for clastic (rhombic

packing) but for carbonates which

consolidate from chemical precipitates,

higher critical porosities in the region 50-

58% are necessary. With these fitting terms

the authors have been able to test whether it is possible to identify micro-textural type

and thereby, in context microfacies from

elastic and acoustic measurements.

Meff, is the effective compressional elastic

moduli (K, l or M) and MVoigt and MReuss are,

Voigt and Reuss averages of the elastic

moduli computed all minerals and fluids

and the value of the empirical constant, where:

“a” is generally around 4 for granular rock (erratum, and not 0.25 as originally

suggested in the 2010 publication due to a

late reformulation error). This is now

reformulated as follows as this makes for a

more theoretical justification that will be published early next year, rather than, at

most, a heuristic one, which was

demonstrated in their 2014 SPWLA paper.

In the cross plot bulk modulus-porosity

carbonate examples above, data sets of

formation factor, permeability, porosity and

acoustic velocity and CEC, are published

for micritic microporosity limestone from Regnet et al, 2015, and porous limestones

and dolomites displaying interparticle and

skeletal grainstone, floatstone, oolites often

displaying vuggy and moldic porosity from

Maria-Sube, PhD Thesis, 2007. Note that

the microporous rocks are best fitted with a lower, Alvarez-Hall, ’a’, value for the mixing

term, than for the higher Bulk Modulus

dominantly dissolution micro-structures in

the Maria-Sube data set. This shows that

their model can formalise the observations of Anselmetti and Eberli and be used to

rock type certain carbonate

microstructures.

Page 12: Thursday 14th - lps.org.uk€¦ · and Negah Arjmandpour for their efforts. Next year we introduce Shyam Ramaswami as Officer of Sponsorship, and welcome back incoming President Mike

12

Jonathan Hall ([email protected])

12 London Petrophysical Society: Newsletter 2017-12 www.lps.org.uk

Tuesday 21st Nov

2017

6:30pm-730pm

Prof Ruth Morgan

UCL

Thursday 14th

Dec 2017

9:00 am –5:00pm

Macroscopic Effective Properties: Tortuosity Again

An illustration of the realities of these

physical bounds comes from work

published by Herrick and Kennedy (1996).

These authors measured resistivity index

on two composite core plugs comprising, in

one case, a parallel arrangement of three isotropic materials and, in the other case, a

series arrangement. The figure below

reflects their measurements. In electrical

transport property terms we used the

characteristic length concept, tortuosity, to

define the conductivity path of 100% brine saturated composite medium through the

Archie ‘m” term and another modifier,

Archie ‘n’ term desaturated (drainage) or

resaturated (imbibition) cycles.

Results of resistivity index measurements made by

Herrick and Kennedy, 1996, on series and parallel arrangements of matrix material with different formation factor values

Four classes of steady-state effective media problems, modified after Torquato, (2002) and pers. comm. (2017).

Tortuosity as a term used by

petrophysicists, reservoir engineers or

geologists is often used to describe transport processes in a composite porous

material. Values for electrical, diffusional

and hydraulic tortuosity differ. Electrical

tortuosity is defined in terms of

conductivity whereas hydraulic tortuosity is

usually defined geometrically, and diffusional tortuosity is derived from

temporal changes in concentration.

Tortuosity might be better defined in terms

of the underlying flux of material or

electrical current with respect to the forces, which drive this flow.

Torquato, (2002) recognizes 4 classes of

steady state effective media problems,

where and we recognise that most are commonly study in certain oilfield

applications.

In the figure above, modified after Torquato, 2002. Left: L and l represent the macroscopic and

microscopic length scales. Right When L is bigger than l, the heterogeneous material can be treated as a homogeneous material with effective property, Ke •

It is this characteristic length that defines tortuosity, which underpins the rigorous

relationships between transport processes

in rocks. In this way, for carbonates, the

macroscopic measurement of various

effective properties can be related specific microstructures, and thereby to rock type

Impact on some macroscopic transport

properties of certain microstructures.

Page 13: Thursday 14th - lps.org.uk€¦ · and Negah Arjmandpour for their efforts. Next year we introduce Shyam Ramaswami as Officer of Sponsorship, and welcome back incoming President Mike

13

Jonathan Hall ([email protected])

13 London Petrophysical Society: Newsletter 2017-12 www.lps.org.uk

Technology

Dawn Houliston

[email protected]

Seminars

Joanne Tudge

[email protected]

Membership

Sharan Dhami

[email protected]

External Liason

Brian Moss

[email protected]

Newsletter

Jenny Rastogi

[email protected]

Publications

Carole Reynaud

[email protected]

Website

Anne Denoyer

[email protected]

Cross Property Correlations

M. Kachanov et al (2000) posed an

intriguing fundamental, as well as

practical, question concerning anisotropic

porous materials. Can different effective properties be explicitly linked to one

another? Such cross-property correlations

become especially important for applications if one property, say, electric

conductivity, is more easily measured than

another property, such as a full set of

anisotropic elastic constants, or vice versa.

The effective property in one domain, with a

specific set of governing equations as

indicated in the modified Torquato table

above, can be either rigorously linked to

one another, or, as in the case suggested

above, defined by a specific fabric, the effective properties of another domain

might be discerned. If this is not exact then

the bounds of one effective property might

be applied to another effective property

For reader reference, other sources for

cross property correlation work, in the

published literature, include the following:

Milton (1984) describes an arbitrary d-

dimensional isotropic two-phase media,

wherein, if the phase bulk moduli, K, equal

the phase conductivities, se, then the effective Bulk Modulus, Ke, is bounded

above by the effective conductivity, se.

Torquato generalised this and showed that:

where neither of the isotropic media has negative

Poisson’s Ratio and Ke/K1 and e/1 are dimensionless effective bulk modulus and effective dimensionless conductivity, respectively

Torquato (1992) relates the dimensionless

effective shear modulus Ge/K1 to an effective

dimensionless conductivity, respectively, again where neither phase has non-

negative Poisson’s ratio, :

An interesting example of the practical

application of such cross property correlations in the petrophysics craft is the

prediction of the macroscopic property: the

Archie cementation exponent, ‘m’, as a

continuous or discrete variable, from elastic

properties measured on logs.

The practical difficulties in establishing this

property through an inversion of Archie’s second law are that the objective of the

study water saturation, Sw, must be known,

a priori, or assumed; and this necessitates

some knowledge of another drainage/

imbibition phase dependent variable: the

Archie’s saturation exponent, ‘n’.

Identification of specific microstructures using Lame parameters which can be manipulated using the Torquato cross property correlations

Downton, Dewer et al (2000) established

relationships between the Lame parameters

and lithology to predict porosity from

seismic, P and S wave. From the same

crossplots in log domain, regions of fractures and framework porosity types

were defined above. Connected vug porosity

types are seen to fall between these regions

as observed in image logs, core and thin

section.

The approach adopted, in this illustration,

is to use Lame parameters to identify zones

of similar elastic compliance: vugs,

fractures, interparticle porosity, calculate

Page 14: Thursday 14th - lps.org.uk€¦ · and Negah Arjmandpour for their efforts. Next year we introduce Shyam Ramaswami as Officer of Sponsorship, and welcome back incoming President Mike

14

Jonathan Hall ([email protected])

14 London Petrophysical Society: Newsletter 2017-12 www.lps.org.uk

Tuesday 21st Nov

2017

6:30pm-730pm

Prof Ruth Morgan

UCL

Thursday 14th

Dec 2017

9:00 am –5:00pm

fracture, vuggy or moldic porosity and

apply the triple porosity model for a

carbonate developed by Ali Ghamdi of Saudi Aramco, Prof. Roberto Aguilera

(University of Calgary), SPE-132879-PA,

and their collaborators. Their model relates

connected matrix porosity to fractures, and

non-connected porosity types: vugs,

intragranular, moldic, or fenestral porosity, and via the volumetric fractions of each, to

establish the electrical tortuosity,

equivalent to the macroscopic petrophysical

Archie parameter, the cementation

exponent.

The inputs required are:

• fracture porosity, which still requires

some further work to establish a truly

effective aperture width from which we

determine accurate fracture porosity

from images;

• the proportion of so-called “secondary

porosity”; an inadequate term used in

the petrophysics craft, to indicate both

fracture and non-connected porosity

fractions but in this model to establish

the non-connected fraction of the total

porosity;

• and the remaining inter-granular/

intra-granular fractions.

In the future this could be solved by an

inversion rather than this stepwise

approach.

Dr. Mohammed Watfa (1987) describes, a

macro-scopic solution, through “tube

bundles”, whereby, the number of tubes

(porosity), brine salinity and the combined

length of the ‘tube bundles’ define the macroscopic property, ‘m’ in a

combinatorial manner. His work describes

a thought experiment of a single tube and

the electrical conductivity of adding a

parallel equivalent tube of equal porosity and an equivalent extra porous

contributions from a vug placed wholly

within the original ‘tube’. This was based in

part upon studies described by Focke and

Munn on moldic limestones in Qatar

(SPE13735) which indicated cementation values of m>5.0.

Concluding Remarks

Rock typing of carbonates is an inadequate

predictive tool in subsurface geo-modelling

and flow simulation; suffering, still from a

traditional ‘bias’ towards depositional facies description and that this is enough to

represent the distribution of reservoir

properties (Skalinski and Kenter 2014).

The number of carbonate microstructures now studied is growing and their impact on

certain logging tool combinations being

understood. As a corollary, we can now

identify and quantify petrophysical

properties and rock fabric beyond just the

volumes of their constituents directly from their response on specific individual log

responses.

Current and future research and software

development for characterisation of carbonate reservoirs will, likely, exploit

simultaneous non-linear global inversion of

multiple logging measurements using more

advanced and calibrated mixing laws,

constrained by observations in core,

cuttings and image logs and employ machine learning applications for

microstructure selection. The parameters

this will yield will go far volume fraction

information: matrix and fluid elements, and

could yield much more important insights about rock fabric and pore structure:

storage capacity and related flow capacity,

porosity evolution and diagenesis products,

as well as describing juxtaposition of rock

fabrics within a stratigraphic framework.

Recent personal communication with

Professor Salvatore Torquato of Princeton

University confirms that many of the

microstructures can be described,

mathematically, and that 3-D printing techniques could be used to test effective

properties of these and initiate machine

learning techniques.

Page 15: Thursday 14th - lps.org.uk€¦ · and Negah Arjmandpour for their efforts. Next year we introduce Shyam Ramaswami as Officer of Sponsorship, and welcome back incoming President Mike

15

Jonathan Hall ([email protected])

15 London Petrophysical Society: Newsletter 2017-12 www.lps.org.uk

Technology

Dawn Houliston

[email protected]

Seminars

Joanne Tudge

[email protected]

Membership

Sharan Dhami

[email protected]

External Liason

Brian Moss

[email protected]

Newsletter

Jenny Rastogi

[email protected]

Publications

Carole Reynaud

[email protected]

Website

Anne Denoyer

[email protected]

Acknowledgements

I am grateful for the previous collaborations

that have brought me to the observations

above. In particular: Dr. Pete Gutteridge, Dr. Benoit Vincent, both of Cambridge

Carbonates Limited, Dr. Erick Alvarez, now

of Shell, Norway and Raghu Ramamoorthy

of Schlumberger for many interesting

collaborations in Abu Dhabi.

The Author

Jonathan Hall is an independent

petrophysicist and was for five years

Petrophysics Expert at the Abu Dhabi

Company for Onshore Oil Operations,

ADCO. Jonathan has worked as staff and consultant petrophysicist in/to British

Petroleum, British Gas, Agip International,

Pemex, Schlumberger, Qatar Petroleum,

Suncor (formerly Petro-Canada) and Dong

Energy E&P. He has also held the position of Head of Petrophysics for Scott Pickford

(then a Core Laboratories company) and

Senergy. Jonathan graduated in Geology

from the University of London, Kings

College and studied Mineral Exploration at

the Royal School of Mines, Imperial College.

Page 16: Thursday 14th - lps.org.uk€¦ · and Negah Arjmandpour for their efforts. Next year we introduce Shyam Ramaswami as Officer of Sponsorship, and welcome back incoming President Mike

16

The LPS wish to extend our sincere appreciation to the

generous companies who continue to be our Sponsors.

Sponsor Corporate links (in alphabetical order) are:

• Baker Hughes www.bhge.com

• BP www.bp.com

• Gaia Earth Sciences www.gaia-earth.co.uk

• GE Oil and Gas www.geoilandgas.com

• Halliburton www.halliburton.com

• Nexen www.nexencnoocltd.com

• Oilfield Production Consultants (OPC) www.opc.co.uk

• Schlumberger www.slb.com

• Shell www.shell.com

• Tullow Oil PLC www.tullowoil.com

• Weatherford Laboratories www.labs.weatherford.com

17 London Petrophysical Society: Newsletter 2017-12 www.lps.org.uk

Thursday 14th

Dec 2017

9:00 am –5:00pm

Tuesday 6th Feb

2018

6:30pm-730pm

Holger Thern,

Baker Hughes


Recommended