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Date of Issue: June 1996 Affected Publication: Addendum to Chapter 11, “Physical hoperties Data,” Section 2, Part 2-Compressibility Factors for Hydrocarbons, Correlation of Vapor Pressure for Commercial Natural Gas Liquids of the Manual of petroleum Measurement Standards, First Edition, December 1994 (1st printing) ERRATA Page 22, mid-page, correct the following code: Old code: A = 6.4837DO Corrected code: A = 6.4827DO Page 22, near the bottom of the page, correct the following code: Old code: A = 2.085371Dl Corrected code: A = 2.08537Dl Page 23, Line 12, correct the following code: Old code: K = (C+D*RDEN) 1553.0DO * 1.OD5 Corrected code: K = (C+D*RDEN)I 543.0DO * 1.OD5 Manual of Petroleum Measurement Standards Chapter 11.2.2—Compressibility Factors for Hydrocarbons: 350–637 Relative Density (60°F/60°F) and –50°F to 140°F MeteringTemperature SECOND EDITION, OCTOBER 1986 REAFFIRMED, DECEMBER 2012 Manual of Petroleum Measurement Standards Chapter 11.2.2—Compressibility Factors for Hydrocarbons: 350–637 Relative Density (60°F/60°F) and –50°F to 140°F MeteringTemperature Measurement Coordination SECOND EDITION, OCTOBER 1986 REAFFIRMED, DECEMBER 2012 ~~~~ S T D - A P I / P E T R O MPMS 1 * - - E N G L 1786 ~ ~~~~ 0732290 0562281 808 Nothing contained in any API publication is to be construed as granting any right, by implication or otherwise, for the manufacture, sale, or use in connection with any method, apparatus, or product covered by letters patent nor as indemnifying anyone from or against any liability for infringement of letters patent This publication may be used by anyone desiring to so The Institute hereby expressly disclaims any liability or responsibility for loss or damage resulting from its use; for the violation of any federal, state, or municipal regulation with which an API publication may conflict; or for the infringement of any patent resulting from the use of an API publication Every effort has been made by the Institute to assure the accuracy and reliability of the data presented copyright 1986 American petroleum institute ~ STD.API/PETRO MPMS L L * Z Z - E N G L L b 0732270 b 2 744 FOREWORD This publication provides tables to correct hydrocarbon volumes metered under pressure to corresponding volumes at the equilibrium pressure for the metered temperature The parallel publication in metric (SI) units is the Manual of Petroleum Measurement Stundards, Chapter 11.2.2M The table presented id this volume is also available from API as a computer tape, along with a manual containing the text information in this publication Suggested revisions are invited and should be submitted to the director, Measurement Coordination Department, American Petroleum Institute, 1220 L Street, N.W., Washington, D.C 20005 iii COMMITTEE ON STATIC PETROLEUM MEASUREMENT WORKING GROUP ON COMPRESSIBILITY F P Gielzecki (Retired) Imperial Oil, Ltd K T Liu, Ph.D Chevron Oil Field Research Company K.M.Goin, Ph.D Cities Service Oil and Gas Corporation M.A Plummer, Ph.D Marathon Oil Company R A Griffith (Chairman, Retired) Texaco Trading and Transportation Company J Polowek Interprovincial Pipe Line Ltd R B Hall Texas Eastern Transmission Company G W.Singletary (Deceased) Texas Eastern Transmission Company J A Hamshar Cities Service Oil and Gas Corporation G W.Swinney (Retired) Phillips Petroleum Company S T D * A P I / P E T R O M P M S L L * - - E N G L b m 2 05b228Li 517 m CONTENTS CHAPTER 11.2.2-COMPRESSIBILITY FACTORS FOR HYDROCARBONS: 0.350-0.637 RELATIVE DENSITY (60"F/60°F) AND -50°F TO 140°F METERING TEMPERATURE PAGE 11.2.2.1 11.2.2.2 11.2.2.3 11.2.2.4 11.2.2.5 11.2.2.6 11.2.2.7 11.2.2.8 11.2.2.9 scope History and Development Type of Standard and Limits Example Use of the Standard Data Base Basic Model Uncertainty Analysis Calculation Procedure References 1 1 10 Table of Compressibility Factors for Hydrocarbons: 0.350-0.637 Relative Density (60°F/600F) and -50°F to 140°F Metering Temperature 11 Text Tables 1-Summary of Data Base 2-Data Mixture Compositions (Mole Percent) 3-Effect of Pressure on Compressibility Factors +Expected Frequency of Errors When Using Temperatures to the Nearest 0.25"C Versus the Nearest 03°F 6 Figures 1-Limits of Data Base by Relative Density and Temperature 2-Uncertainties (95-Percent Confidence Level) in Volume Versus Temperature and Relative Density V ~ ~ STD.API/PETRO MPMS LL.2.2-ENGL m L78b Chapter 11-Physical 2 0 b 2 453 Properties Data SECTION 2-VOLUME CORRECTION FACTORS FOR METER PROVING AND HYDROCARBON COMPRESSIBILITY 11.2.2 Compressibility Factors for Hydrocarbons: 0.350-0.637 Relative Density (6O0F/6O"F)and -50°F to 140°F Metering Temperature 11.2.2.1 SCOPE in volume because of the important efféct of pressure on the Compressibility factor for light hydrocarbons The range of the table is from -50°F to 140°F and from 0.350 to 0.637 relative density (60"F/60°F),for use with pressure differences above equilibrium from O to 2200 pounds per square inch The equation used to generate the table is given for those who wish to duplicate the table using their specific computer and language Identical table information is available on a computer tape The use of this computer tape to verify individually developed computer subroutines is highly recommended The purpose of this standard is to correct hydrocarbon volumes metered under pressure to the corresponding volumes at the equilibrium pressure for the metered temperature This standard contains compressibility factors related to the meter temperature and relative density (6O0F/60"F) of the metered material The corresponding metric (SI) version is Chapter 11.2.2M EXAMPLE USE OF THE STANDARD 11.2.2.4 11.2.2.2 HISTORY AND DEVELOPMENT In this standard, the compressibilityfactor ( F ) is used in the normal manner for volume correction (* denotes multiplication): The previous APl standard for hydrocarbon compressibility, Standard 1101,Measurement of Petroleum Liquid Hydrocarbons by Positive Displacement Meter, was developed from graphical correlations prepared in 1945 This standard was based on limited data with only a few points for pure fluids in the range from propane to pentane No lighter mixtures and no effect of pressure on the compressibility factor were considered In 198 1,the Committee on Static Petroleum Measurement formed a subcommittee, the Hydrocarbon Compressibility Group, to revise the compressibilitytables of Standard 110I As a result of an extensive literature survey, the data base found for the relative density portion of the table covers a broader range than that used in Standard 1101 but is lacking in data for unsaturated hydrocarbons The data base was used to develop a mathematical model that includes the effect of pressure on the compressibilityfactor The printed table produced from the model is the standard This standard replaces the discontinuedStandard 1101 and the first edition of Chapter 11.2.2,Compressibility Factors for Hydrocarbons: 0.500-0.411 Relative Density Range and 20-128oF Where: CP1= correction factor for pressure Ve = volume at the equilibrium (bubble point) pressure, P, V, = volume at the meter pressure, P, D , = P , - P, P, and P , may be in either pounds per square inch gage or pounds per square inch absolute, but both must be in the same units As an example, calculate the volume at equilibrium pressure of lo00 barrels (V,) of a material with a relative density (6OW6O"F) of 0.5297 metered under*a pressure of 500 pounds per square inch at a temperature of 55.1"F.The equilibrium pressure (P,) for this material at 55.1T is 45 pounds per square inch The rounded relative density and temperature values of 0.530 and 550°F yield an A factor of 35,641and a B factorof 5.516.Thecompressibiiityfactor ( F ) is Calculated as follows: 11.2.2.3 TYPE OF STANDARD AND LIMITS The actual standard is the printed table of 224 pages that follows this text The increments used in the table are OST and 0.002 relative density Interpolation to 0.001 relative density is allowed Compressibilities are in the usual units of reciprocal pounds per square inch but are calculated from two terms, A and B, and the pressure difference from equilibrium, D , This is necessary to obtain the desired accuracy F + = 1/(A D, * B ) = 1/[35,641 (500 - 45) * 5.5161 + = O.oooO2621 The value for F is rounded to the eighth decimal place, to the maximum of four significant digits ~ ~~ S T D S A P I I P E T R O MPMS L L - - - f N G L L78b 2 05b2507 70b m I) a O t a - v \ II U I U ZU U W O au ao O UlW \ ao W W am > oc ZU m oz a@ U a W U aU > Ul- 04: I-J ww aa U > t, _I U m U a m saln wwm +-cl a m Q (3 am o o m a m a m a m a m a m a m a m a m u! m o o LD o v) o v) o t t (3 o P - N N ( ' > t a m a m m o C e ) 7 v a m a m o LD t ) v P ) STD.API/PETRO MPMS L L - - - E N G L L b D 0732290 b b D m a U al- oa +-I u w aa IL > + CI J U m U IA IA w P a I o u P L I O W w w u +n w u ~ r- t r- u rr) t ~ (0 u o u m t ~ o m - o m m U) ~ N m N m o m m o U) m o ~ S T D * A P I / P E T R O MPMS L L * Z * Z - E N G L L78b = 0732270 b 589 h rn *a cl t a v \ II U I V z- -u W O au1 an O WCO W > Ot Z Y 3vl O Z au K Lo N N o ww aY > at- oa I-J v w a a U > t- c ( -I CI m CI m m W LT n I O V a m L a IO0 WWLo t O a m a m L P Lo o q v) In um m v) Lo a m o CO Lo a m L o Lo v O CO a m ) O (D a m a m - 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CO ICI J Y m Y v> VI W a a z O U um a u 0- z oo W u t I-0 am a m u, o t- a m u! a m am u m a m a m um a m um a m am a m c m o VI o u) o In o In o VI* o u) N t- m F> Q f- N t- u - - t- IC t- t- b , u , t- I D IC I D Ir t - p P p’ c4 m *n P + v -IL W O œw ao O In> O+ zci m o z n w œ m O N N ww a> U a+ O +-I o w aa IL > + c ( -1 ci m CI " W U n I O U a m alL? 53: +o am '? : a m am am o q o Q> ~ - o am am o m m o m - m u m q - m u m um o q N r N n u m u m I o O m O m n P am am o y ? m am t L m I m > am m m @ m STD.API/PETRO MPMS L L - - E N G L L98b 0732270 b T O T h m n c O + a - v \ II U I V Z- ? U w o an au u0 m a m> QI- Z U 3v) oz n w Q N N ? w u a> U a+ oa I-J v w aa !L > I? -I I+ m U a m 5d oc zœ æm O Z a w O U W W N m o n> œ a+ 04: I I vw aa U w a P I O V a m a Y ulwo I-n a m o a m ~ UI o am a m o m o a m f (o m w m f IC o a m a m a m ~ o r- m a m u OD o m o a m i m o am am o m o o o o am a m a m ~ -0 0~ m o f CI KI- oa c-1 V U aa U > L -1 m CI lA lA w STD.API/PETRO MPMS L l - Z - Z - E N G L L A b m 0732270 05b251b 717 m I u ZH U N m N oa ! -I U W aa LL > I- H J Y m Y v) VI W a P I O o am PL? =“O W U + oc a m t m a m t m a m am am am a m t m am am a m am a m g c o ? o ‘1 N o g o ln o o g o E ‘1 E g c c c c r c - c c F ( c c c c O c r r n c c -0 c c c : f - ~ ~ ~ ~ S T D - A P I / P E T R O MPMS L I - - - E N G L L b ~ 0732270 05b2517 b55 h m I V Z n CIU w u a w ao W O m a ao W U am> oc zu m oz P W o a ww a> CI ac oa I-J v w aa IL > c CI J I-l m Y m v) W a a I O u a m a L a m a m a m m m = Ow0 w +o.- c c c a m a m - ~ o N - a m a m L - N - N a m o N N - a m N c a m m e4 m c a m N c m a m a m a m m m - - N P * N v N c ) N c a m r m N - n h m * n CI + a n w O w u a n> CI K t 04 I I V U aa L > I- n J n m n m m w U =O o u P m N STD.API/PETRO MPMS L L - - E N G L 1786 0732270 b q28 h m a o t a v \ c II IL \ K O ww a- m> O C Z H 3w O Z a w n œ m m N Z k ou o w W U > -ì U J U Io U ul v> W Z a P O U IC m o o 2 mm c mio am L O N O N NUI ~ LOLo am L O Lo wum o P ZOO +oc O N- -m OUI ~ UILo a m o Lo O N O mm mm ~ mm N O o m LnLo t-m mrn o m ~ mu) wi- mm mu mt- o m LOLO mm t-0 o m m m win ~ ~ mm O m Om O W NCJ ~ a m a m a m a m a m Lo o Lo o m Lo (D o - m o c r o c m (r F t- o c u~ o I m m o o P m IC0 - - o um > a m a m a m o Lo (0 d) c o> m o o u c c am o a m ln m m w- o0 a- Low m o m d ) o > ~ ~ STD.API/PETRO MPMS L L - - E N G L L b m 2 0 b L'4T m Order No 852-27307 American Petroleum Institute 1220 L Street, Northwest