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Accum_Vol.xls Jean Verges

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Page 1 Accumulator Sizing Instructions Discussion The purpose of the accumulator system is to provide closing energy to all members preventer stack. This is usually done with a hydraulic system designed and built power to the equipment in 5 seconds or less to maintain the required pressures as Usable fluid volume is defined as the volume of fluid recoverable from an accumula accumulator operating pressure and 200 psi above the precharge pressure. The accu operating pressure is the pressure to which accumulators are charged with hydrauli to 1000 psi what is the usable fluid volume the accumulator bottle will deliver be of 3000 psi and 1200 psi. In the following spreadsheets cells with BLUE numbers require input, cells with YE and RED numbers are calculated values. In order to calculate usable fluid volumes within accumulators, the ideal gas law For example: Assume the total gas volume of the accumulator bottle is 10 gallons. Solution: Since the gas law formula requires absolute pressures, we must add atmo P3 = 1000 psig + 15 psi (atmospheric) V3 = 10 gal. (gas volume of Koomey 11 gallon nominal accumulator) P1 = 3000 psig (system working pressure) + 15 psi (atmospheric) At a pressure of 3000 psig the gas volume = V2 V1 = P3 * V3 / P1 = 1015 (10) / 3015 = 3.366 gallons (gas) At a pressure of 1200 psig the gas volume = V2 V 1 V 2 V 3 U sable F luid 40 gallons 12.8 gallons F luid level @ 300 psi F luid level @ 1200 psi F luid level @ 1000 psi 40 G allon s U sab le F lu id 3000 p sisystem APEXINDO
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Page 1: Accum_Vol.xls Jean Verges

Page 1

Accumulator Sizing

Instructions

DiscussionThe purpose of the accumulator system is to provide closing energy to all members of the blowoutpreventer stack. This is usually done with a hydraulic system designed and built to provide closing power to the equipment in 5 seconds or less to maintain the required pressures as desired.

Usable fluid volume is defined as the volume of fluid recoverable from an accumulator between theaccumulator operating pressure and 200 psi above the precharge pressure. The accumulator operating pressure is the pressure to which accumulators are charged with hydraulic fluid, usually 3000 psi.

to 1000 psi what is the usable fluid volume the accumulator bottle will deliver betwen the operating pressuresof 3000 psi and 1200 psi.

In the following spreadsheets cells with BLUE numbers require input, cells with YELLOW background and RED numbers are calculated values.

In order to calculate usable fluid volumes within accumulators, the ideal gas law formula P1V1 = P2V2 is applied.For example: Assume the total gas volume of the accumulator bottle is 10 gallons. If the bottle is precharged

Solution: Since the gas law formula requires absolute pressures, we must add atmospheric pressure

P3 = 1000 psig + 15 psi (atmospheric)

V3 = 10 gal. (gas volume of Koomey 11 gallon nominal accumulator)

P1 = 3000 psig (system working pressure) + 15 psi (atmospheric)

At a pressure of 3000 psig the gas volume = V2

V1 = P3 * V3 / P1 = 1015 (10) / 3015 = 3.366 gallons (gas)

At a pressure of 1200 psig the gas volume = V2

V2 = P1 * V1 / P2 = 3015 (3.366) / 1215 = 8.352 gallons (gas)

V 1

V 2

V 3

U sab leF lu id

40 ga llons

12 .8 ga llons

F lu id leve l@ 300 ps i

F lu id leve l@ 1200 psi

F lu id leve l@ 1000 psi

4 0 G a llo n s U sa b le F lu id

3 0 0 0 p si sy stem

APEXINDO

Page 2: Accum_Vol.xls Jean Verges

Page 2

if operating between 3000 psig and 1200 psig.

Subsea StacksFor sizing subsea mounted accumulator bottles, the addtional precharge pressure required to offsetthe hydrostatic head of the seawater column and the effect of subsea temperature should be considered.

The precharge pressure must be increased to compensate for cold water. The temperature compensatedprecharge pressure is calculated from the follwing equation:

Therefore, the usable fluid volume (per bottle) is = (8.352 - 3.366) = 4.986 or » 5 gallons

Temperature compensated Pprech = Original Pprech * (460 + surface Temp oF) / (460 + seabed Temp oF)

Page 3: Accum_Vol.xls Jean Verges

Surface BOP Control System Calculation Sheetfor Control Fluid and Minimum Accumulator Volume Requirements

Control Fluid RequirementsType Size Close (gal) Closing Ratio

Annular Preventer #1 13-5/8" 5000 40.99Ram Preventer #1 21.52 10.85Ram Preventer #2 21.52 10.85Ram Preventer #3 21.52 10.85Ram Preventer #4Ram Preventer #5Choke Line HCR Valve 0.78OtherTotal 106.33

Available control fluid volume to close against zero wellbore pressure

3015 psia (usually 3015 psi)

1015 psia (usually 1015 psi)

10 gallons eachNumber of accumulator bottles 24

10 -1) ( 1 - 1015 / 3015 ) = 5.97 gallons

Available accumulator fluid = Number of bottles * Fluid/bottle = 24.0 * 5.97 = 143 gallons

Available control fluid volume to close against full wellbore pressure

Stack Working Pressure (psia) = = 1200 psiaMinimum Ram Preventer closing Ratio

10 -1) { ( 1015 ) - ( 1015 ) = 4.583 gallons1200 3015

Available accumulator fluid = Number of bottles * Fluid/bottle = 24 * 4.58 = 110 gallons

Nominal system Working Pressure (Pwork)

Nominal precharge Pressure (Pprech)

Nominal accumulator bottle volume (Volacc)

Fluid/bottle (Pwork to Pprech) = (Volacc - 1) ( 1 - Pprech / Pwork)

Fluid/bottle (Pwork to Pprech) = (

Pmin =

Fluid/bottle (Pwork to Pmin) = (Volacc - 1) {( Pprech / Pmin) - ( Pprech / Pwork)}

Fluid/bottle (Pwork to Pmin) = (

Page 4: Accum_Vol.xls Jean Verges

API 53BOPS system should have sufficient usable Hydraulic fluid volume (with pump inoperative) to close and open one Annular type preventer and all ram-type preventer from a full-openposition against zero wellbore pressure .After closing and opening one Annular and all ramtype preventers the remaining pressure shall be 200 psi above the minimum recommendedpressure.

API Accumulator requirement

1 times all functions Close and Open

Annular Close/Open 40.99

Ram 1 Close/Open 21.52

Ram 2 Close/Open 21.52

Ram 3 Close/Open 21.52HCR Open/Close 0.78

106.33 GL

Triplex Pump 15HP 3/4 plungger triplex pump Model T

Flow 6.4 GPM

Air Pump Model UA8026-MFlow 4.6 GPM air pump #1

Flow 4.6 GPM air pump #2Total 15.6 GPM

Up to 2000Psi accumulator volume 107 GL

Time 107 / 15.6 = 6.86 mn

Up to 3015 psi (only electric pump) volume 143 GL Volume 143 - 107 = 36 GL to come up to 3015 psi

Additional time 36 / 6.4 = 5.63 mn

Total time 12.48 mn

Page 5: Accum_Vol.xls Jean Verges

Surface BOP Control System Calculation Sheetfor Control Fluid and Minimum Accumulator Volume Requirements

Control Fluid RequirementsType Size Close (gal) Closing Ratio

Annular Preventer #1 13-5/8" 5000 35.37Ram Preventer #1 16.5 Ram Preventer #2 Ram Preventer #3 Ram Preventer #4Ram Preventer #5Choke Line HCR Valve 0.6OtherTotal 52.47

Available control fluid volume to close against zero wellbore pressure

3015 psia (usually 3015 psi)

1015 psia (usually 1015 psi)

10 gallons eachNumber of accumulator bottles 14

10 -1) ( 1 - 1015 / 3015 ) = 5.97

Available accumulator fluid = Number of bottles * Fluid/bottle = 14.0 * 5.97 = 83.58

Available control fluid volume to close against full wellbore pressure

Stack Working Pressure (psia) = = 1200 psiaMinimum Ram Preventer closing Ratio

10 -1) { ( 1015 ) - ( 1015 ) = 4.5831200 3015

Available accumulator fluid = Number of bottles * Fluid/bottle = 14 * 4.58 = 64.16

Rig 8 Accumulator remaining pressure after use of 52.47GL requiered by KUFPEC to close BOP will be: 1345 psia

Nominal system Working Pressure (Pwork)

Nominal precharge Pressure (Pprech)

Nominal accumulator bottle volume (Volacc)

Fluid/bottle (Pwork to Pprech) = (Volacc - 1) ( 1 - Pprech / Pwork)

Fluid/bottle (Pwork to Pprech) = (

Pmin =

Fluid/bottle (Pwork to Pmin) = (Volacc - 1) {( Pprech / Pmin) - ( Pprech / Pwork)}

Fluid/bottle (Pwork to Pmin) = (

Page 6: Accum_Vol.xls Jean Verges

KUFPEC Accumulator requirement Exibit B section 2-5-14

1.5 times the closing of 1 Annular, 1 Ram and Open 1 HCR

Annular Close 23.58 1.5 35.37Ram Close 11 1.5 16.5HCR Open 0.4 1.5 0.6

52.47 GL

Triplex Pump 15HP 3/4 plungger triplex pump Model T

Flow 6.4 GPM

Air Pump Model UA8026-MFlow 4.6 GPM Air pump # 1

Total 11 GPM

Up to 2000Psi accumulator volume 62.5 GL

Time 62.5 / 11 = 5.68 mn

Up to 3015 psi only electric pump volume 83.6 GL

gallons Volume 83.6 - 62.5 = 21.1 GL to come up to 3015 psi

gallonsAdditional time 21.1 / 6.4 = 3.30 mn

Total time 8.98 mn

gallons

gallons

Rig 8 Accumulator remaining pressure after use of 52.47GL requiered by KUFPEC to close BOP

Page 7: Accum_Vol.xls Jean Verges

Subsea BOP Control System Calculation Sheetfor Control Fluid and Minimum Accumulator Volume Requirements

Control Fluid RequirementsType Size Close (gal) Open (gal) Closing Ratio

Annular Preventer #1 88 61(Note the opening and closing volumes of one annular only are required for this calculation.)Ram Preventer #1 17 16Ram Preventer #2 17 16Ram Preventer #3 17 16Ram Preventer #4 17 16Ram Preventer #5Other 1.7Total 157.7 125

Available control fluid volume from subsea accumulators

500 feetSurface Temperature ( ° F) 50 degreesTemperature at Seabed ( ° F) 40 degrees

3000 psia (usually 3015 psi)

1000 psia (usually 1015 psi)

11 gallons each

89 AccumulatorsActual surface precharge pressure required to compensate 1020 psiafor temperature (Pprech)

11 -1) ( 1 - 1223 / 3222.5 ) = 6.21

89 * 6.21 = 552

Stack Working Pressure (psia) = 3000 = 275Minimum Ram Preventer closing Ratio 10.90

or: = 1200 psi

11 -1) { 1222.5 - 1222.5 }1423 3222.5

4.80 gallons

89 * 4.80 = 427

Water depth at which control system will operate (Dw)

Nominal system Working Pressure (Pwork)

Nominal precharge Pressure (Pprech)

Nominal surface accumulator bottle volume (Volacc)

Number of subsea accumulator bottles (Nosubsea)

Fluid/bottle (Pwork to Pprech) = (Volacc - 1) { 1 - (Pprech + .445 * Dw / Pwork + .445 * Dw )}

Fluid/bottle (Pwork to Pprech) = (

Available accumulator fluid (Pwork to Pprech) = Nosubsea * Fluid/bottle =

Pmin is the greater of: Pmin =

Pmin = Pressure to hold c/k valve open at stack working pressure

Fluid/bottle (Pwork to Pmin) = (Volacc - 1) { P prech + .445 * D w - P prech + .445 * D w }

Pmin + .445 * Dw Pwork + .445 * Dw

Fluid/bottle (Pwork to Pmin) = (

Fluid/bottle (Pwork to Pmin) =

Available accumulator fluid (Pwork to Pmin) = Nosubsea * Fluid/bottle =

Page 8: Accum_Vol.xls Jean Verges

Total required + 50 % 424.05 Enough Bottles

Page 9: Accum_Vol.xls Jean Verges

Subsea BOP Control System Calculation Sheetfor Control Fluid and Minimum Accumulator Volume Requirements

gallons

gallons

psia

gallons

Page 10: Accum_Vol.xls Jean Verges

Enough Bottles

Page 11: Accum_Vol.xls Jean Verges

BOYEL'S GASS LAW: Formula = (P1*V1)/T1 = (P2*V2)T2 = P3*V3)T3 = etc.Temperature is not taken into considderation

According to API 16 D 2005 version.

BOP Max Working Pressure 15000 Psi Ram Close 17 Gallon

Pressure pre-charge P1 1000 Psi Ram Open 16 Gallon

Volume pre-charge V1 11 Gallons Ram Close 17 GallonPressure full charge P2 3000 Psi Ram Open 16 GallonVolume full charge V2 (P1*V1)/P2 7.67 Gallons Ram Close 17 Gallon

Pressure Used Charge P3 1376 Psi Ram Open 16 GallonVolume used Charge V3 (P1*V1)/P3 7.99 Gallons Ram Close 17 Gallon

Bottles installed 86 Bottles Ram Open 16 GallonClosure ratio 10.9 to 1 Ann Close 88 Gallon

Pressure rating BOP 15000 Psi Ann Open 61 GallonAnnular size 18-3/4"/10K 1 Failsafe 1.7 Gallon

282.7 TotalNitrogen V2= (P1*V1)/P2 .= 1215*35/3015 3.33 Gallons

Volume Fluid V1-V2 .= D11-F22 7.67 Gallon

Nitrogen V3 (P1*V1)/P3 .= 7.99 Gallon

Volume Fluid Remaining V1 - V3 .= (D12-1)-F25 3.01 Gallon

Usable Fluid .= F24 - F27 4.99 Gallon

424.0 Gallon

Amount of Bottles required 86 Bottles

Conclusion Suffecient Number of Bottles

(D11 * D12) / D11

Vol Pre-Chg - Vol Rem

Full opening of all rams (max 4 rams) + 1 Annular + 1 Failsafe (see BOP Manual)

Page 12: Accum_Vol.xls Jean Verges

CALCULATE FUNCTION VOLUME

V

TV TOTAL SYSTEM ACCUMULATOR VOLUME

P1 MAX ACCUMULATOR PRESSUREP2

PCH ACCUMULATOR PRECHARGE

FORMULA

.= Volume Pch

104 10 1000

18.2

Note :- Fill in Yellow boxes

.= TOTAL FUNCTION VOLUME IN GALLONS. ie RAM CLOSE

.=

.=

.= ACCUMULATOR PRESSURE AFTER

.=

.= [P1-P2 / P1 * P2]* PCH *

Onboard volums

No Accumulators

Page 13: Accum_Vol.xls Jean Verges

CALCULATE FUNCTION VOLUME Ram closing ratio

Gallons Ram rod Ø

18.214 4.25

153.9 14.2

1040

3000 Ratio

2850 10.9 to 1

1000

Piston Ø

Page 14: Accum_Vol.xls Jean Verges

Accumulator Draw Down Test. Date:

Company Well No Ram Size Close Time Volume Open Time Volume PSI

L.P.R Gal GalM.P.R 2 7/8" to 5" VBR's Gal GalU.P.R 5" Gal GalU.P.R 5" Gal GalL.Annular Gal Gal

Failsafes All Gal Gal

Start Pressure in Accumulators. 3000 psi

Start Time End Time

Pipe Size

Final Accumulator Pressure : psi

Time to Pump Accumulators to 3000psi.

Using both electric pumps and air pumps While closing annular and UPR

Using emergency electric pump and air pumps While closing annular and UPR

Final Minimum Acceptable Accumulator Pressure - 1200 psi.After Test.* 1200 psi represents 50% excess Volume required.

Closing / Size requirements.* The closing System must be capable of closing each Ram Preventer within 30 Sec`s* Closing time for Annulars must not exceed 45 Sec`s.

Tool PusherSubSea EngineerCo/Man

5"

18 3/4"

* Accumulator Working Pressure must be 3000 psi

* Precharge Pressure must be 1000 psi

Page 15: Accum_Vol.xls Jean Verges

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