Api mpms 14 3 4 1992 (2006) scan (american petroleum institute)

A P I MPMS*L4-3-4 92 W 0732290 0506280 O31 W Manual of Petroleum Measurement Standards Chapter 14-Natural Gas Fluids Measurement Section 3-Concent ric, Square-Edged Orifice Meters Part 4-Background, Development, Implementation Procedures and Subroutine Documentation THIRD EDITION, NOVEMBER, 1992 REAFFIRMED, FEBRUARY 2006 AGCI American Gas Association Report No 3, Part Gas Processors Association GPA 8185-92, Pari `,,```,,,,````-`-`,,`,,`,`,,` - American Petroleum Institute 1220 L Street, Northwest Washington, D.C 20005 Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS Not for Resale A P I M P M S * L - = 92 0732290 0506283 T78 `,,```,,,,````-`-`,,`,,`,`,,` - Manual of Petroleum Measurement Standards Chapter 14-Natural Gas Fluids Measurement Section 3-Concentric, Square-Edged Orifice Meters Part 4-BackgroundY Development, Implementation Procedures and Subroutine Documentation THIRD EDITION, NOVEMBER, 1992 American Petroleum Institute Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS Not for Resale API MPMS*L4.3*V - - - 0732270 050b282 904 SPECIAL NOTES API PUBLICATIONS NECESSARILY ADDRESS PROBLEMS OF A GENERAL NATURE WITH RESPECT TO PARTICULAR CIRCUMSTANCES, LOCAL, STATE, AND FEDERAL LAWS AND REGULATIONS SHOULD BE REVIEWED API IS NOT UNDERTAKING TO MEET THE DUTIES OF EMPLOYERS, MANUFACTURERS, OR SUPPLIERS TO WARN AND PROPERLY TRAIN AND EQUIP THEIR EMPLOYEES, AND OTHERS EXPOSED, CONCERNING HEALTH AND SAFETY RISKS AND PRECAUTIONS,NOR UNDERTAKING THEIR OBLIGATIONS UNDER LOCAL, STATE, OR FEDERAL LAWS INFORMATION CONCERNING SAFETY AND HEALTH RISKS AND PROPER PRECAUTIONS WITH RESPECT TO PARTICULAR MATERIALS AND CONDITIONS SHOULD BE OBTAINED FROM THE EMPLOYER, THE MANUFACTURER OR SUPPLIER OF THAT MATERIAL, OR THE MATERIAL SAFETY DATA SHEET NOTHING CONTAINED IN ANY API PUBLICATION IS TO BE CONSTRUEDAS GRANTING ANY RIGHT, BY IMPLICATION OR OTHERWISE, FOR THE MANUFACTURE, SALE, OR USE OF ANY METHOD, APPARATUS, OR PRODUCT COVERED BY LETTERS PATENT NEITHER SHOULD ANYTHING CONTAINED IN THE PUBLICATION BE CONSTRUED AS INSURING ANYONE AGAINST LIABILITY FOR INFRINGEMENTOF LE'ITERS PATENT `,,```,,,,````-`-`,,`,,`,`,,` - GENERALLY, API STANDARDS ARE REVIEWED AND REVISED, REAFFIRMED, OR WITHDRAWN AT LEAST EVERY FIVE YEARS SOMETIMES A ONETIME EXTENSION OF UP TO TWO YEARS WILL BE ADDED TO THIS REVIEW CYCLE THIS PUBLICATION WILL NO LONGER BE IN EFFECT FIVE YEARS AFTER ITS PUBLICATIONDATE AS AN OPERATIVEAPI STANDARD OR, WHERE AN EXTENSION HAS BEEN GRANTED, UPON REPUBLICATION.STATUS OF THE PUBLICATION CAN BE ASCERTAINED FROM THE API AUTHORING DEPARTMENT [TELEPHONE (202) 682-8000] A CATALOG OF API PUBLICATIONS AND MATERIALS IS PUBLISHED ANNUALLY AND UPDATED QUARTERLY BY API, 1220 L STREET, N.W., WASHINGTON, D.C 20005 Copyright O 1992 American Petroleum Institute Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS Not for Resale A P I MPMS*L4e3.4 92 0732290 0506283 840 `,,```,,,,````-`-`,,`,,`,`,,` - FOREWORD This foreword is for information and is not part of this standard Chapter 14, Section 3, Part of the Manual of Petroleum Measurement Standards describes the background and development of the equation for the coefficient of discharge of flange-tapped square-edged concentric orifice meters and recommends a flow rate calculation procedure The recommended procedures provide consistent computational results for the quantificationof fluid flow under defined conditions, regardless of the point of origin or destination, or the units of measure required by governmental customs or statute The procedures allow different users with different computer languages on different computing hardware to arrive at almost identical results using the same standardized input data This standard has been developed through the cooperative efforts of many individuals under the sponsorship of the American Petroleum Institute, API, and the American Gas Association, A.G.A., with contributions from the Gas Processors Association, GPA, and others API publications may be used by anyone desiring to so Every effort has been made by the Institute to assure the accuracy and reliability of the data contained in them; however, the Institute makes no representation, warranty, or guarantee in connection with this publication and hereby expressly disclaims any liability or responsibility for loss or damage resulting from its use or for the violation of any federal, state, or municipal regulation with which this publication may conflict Suggested revisions are invited and should be submitted to the director of the Measurement Coordination Department, American Petroleum Institute, 1220 L Street, N.W., Washington, D.C 20005 iii Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS Not for Resale -~~ A P I MPMS*L4-3.4 - W 0732290 O506284 787 W I I ACKNOWLEDGMENTS From the initial data-collection phase through the final publication of this revision of Chapter 14, Section 3, of the Manual of Petroleum Measurement Standards, many individuals have devoted time and technical expertise However, a small group of individuals has been very active for much of the project life This group includes the following people: H Bean, El Paso Natural Gas Company (Retired) R Beaty, Amoco Production Company, Committee Chairman D Bell, NOVA corporation T Coker, Phillips Petroleum Company W Fling, OXY USA, Inc (Retired), Project Manager J Gallagher, Shell Pipe Line Corporation L Hillburn, Phillips Petroleum Company (Retired) P Hoglund, Washington Natural Gas Company (Retired) P LaNasa G Less, Natural Gas Pipeline Company of America (Retired) J Messmer, Chevron U.S.A Inc (Retired) R Teyssandier, Texaco Inc E UPP K West, Mobil Research and Development Corporation During much of the corresponding time period, a similar effort occurred in Europe The following individuals provided valuable liaison between the two efforts: D Gould, Commission of the European Communities F Kinghorn, National Engineering Laboratory M Reader-Harris, National Engineering Laboratory J Sattary, National Engineering Laboratory E Spencer, Consultant J Stolz, Consultant P van der Kam, Gasunie The American Petroleum Institute provided most of the funding for the research project Additional support was provided by the Gas Processors Association and the American Gas Association Special thanks is given to the Gas Research Institute and K Kothari for providing funding and manpower for the natural gas calculations used in this project and to the National Institute of Standards and Technology in Boulder, Colorado, for additional flow work J Whetstone and J Brennan were responsible for the collection of water data at the National Institute of Standards and Technology in Gaithersburg, Maryland C Britton, S Caldwell, and W Seid1 of the Colorado Engineering Experiment Station Inc were responsible for the oil data G Less, J Brennan, J Ely, C Sindt, K Starling, and R Ellington were responsible for the Natural Gas Pipeline Company of America test data on natural gas Over the years many individuals have been a part of the Chapter 14.3 Working Group and its many task forces The list below is the roster of the working group and its task forces at the time of publication but is by no means a complete list of the individuals who participated in the development of this document R Adamski, Exxon Chemical Americas-BOP R Bass M Bayliss, Occidental Petroleum (Caldonia) Ltd R Beaty, Amoco Production Company D Bell, NOVA Corporation B Berry `,,```,,,,````-`-`,,`,,`,`,,` - iv Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS Not for Resale 0732290 050b285 92 J Bosio, Statoil J Brennan, National Institute of Standards and Technology E Buxton S Caidweli R Chittum, American Petroleum Institute T Coker, Phillips Petroleum Company H Colvard, Exxon Company, U.S.A L Datta-Bania, United Gas Pipeline Company D Embry, Phillips Petroleum Company W Fling J Gallagher, Shell Pipe Line Corporation V Gebben, Kerr-McGee Corporation B George, Amoco Production Company G Givens, CNG Transmission Corporation T Glazebrook, Tenneco Gas Transportation Company D Goedde, Texas Gas Transmission Corporation D Gould, Commission of the European Communities K.Gray, Phillips Petroleum Company R Hankinson, Phillips 66 Natural Gas Company R Haworth E Hickl, Union Carbide Corporation L Hillburn P Hoglund, Washington Natural Gas Company J Hord, National Institute of Standards and Technology E Jones, Jr., Chevron Oil Field Research Company M Keady K Kothari, Gas Research Institute P LaNasa G Less G Lynn, Oklahoma Natural Gas Company R Maddox G Mattingly, National Institute of Standards and Technugy E, McConaghy, NOVA Corporation C Mentz L Norris, Exxon Production Research Company K.Olson, Chemical Manufacturers Association A Raether, Gas Company of New Mexico E Raper, OXY USA, Inc W Ryan, El Paso Natural Gas Company R Segers J Sheffield S Stark, Williams Natural Gas Company K Starling J Stolz J Stuart, Pacific Gas and Electric Company W Studzinski, NOVA/Husky Research Company M Sutton, Gas Processors Association R Teyssandier, Texaco Inc V Ting, Chevron Oil Field Research Company L Traweek, American Gas Association E VPP E Van Orsdol, Chevron U.S.A Inc N Watanabe, National Research Laboratory of Metrology, Japan V Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS Not for Resale `,,```,,,,````-`-`,,`,,`,`,,` - A P I MPMS*L4-3.4 - _- _ A P I flPflS*l14.3.4 H 0732290 0506286 55T K West, Mobil Research and Development Corporation P Wilcox, Total of France J Williams, Oryx Energy Company M Williams, Amoco Production Company E Woomer, United Gas Pipeline Company C Worrell, OXY USA, Inc `,,```,,,,````-`-`,,`,,`,`,,` - Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS Not for Resale CONTENTS Page CHAPTER 14 NATW GAS FLUIDS MEASUREMENT SECTION 3.CONCENTRIC SQUARE-EDGED ORIFICE METERS APPENDIX 4-A-DEVELOPMENT OF FLOW EQUATION SOLUTIONALGOEUTHM APPENDIX 4-B-RECOMMENDED ROUNDING PROCEDURES APPENDIX 4-C-ROUND ROBIN TESTING Figures 4-1-Flange Tap Data Comparison-Mean Deviation (%) versus Nominal Beta Ratio 4-2-Flange Tap Data Comparison-Mean Deviation (%) versus Nominal Pipe Diameter 4-3-Flange Tap Data Comparison-Mean Deviation (%) versus Reynolds Number Ranges 4-4-Corner Tap Data Comparison-Mean Deviation (%) versus Nominal Beta Ratio 4-5-Corner Tap Data Comparison-Mean Deviation (%) versus Reynolds Number Ranges 4-6-0-D/2 (Radius) Tap Data Comparison-Mean Deviation (%) versus Nominal Beta Ratios 4-7-0-0/2 (Radius) Tap Data Comparison-Mean Deviation (%) versus Reynolds Number Ranges 4-8Ccatter Diagram Based on BuckinghamEquation 4-9Ccatter Diagram Based on Reader-HarridGallagherEquation 4-A-1-Number of Iterations Required to Solve for Orifice Plate Coefficient of Discharge-Direct Substitution Method 4-A-2-Number of Iterations Required to Solve for Orifice Plate Coefficient of Discharge-Newton-Raphson Method Tables 4- 1-Regression Database Point Distribution for flange Taps 4-2-Regression Database Point Distribution for Corner Taps 4-3-Regression Database Point Distribution for D-D/2 (Radius) Taps vii Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS Not for Resale 1 10 13 20 20 31 48 63 71 75 16 16 16 17 17 18 18 19 19 68 70 10 11 `,,```,,,,````-`-`,,`,,`,`,,` - 4.1 Introduction and Nomenclature 4.1.1 Introduction 4.1.2 Nomenclature 4.2 History and Development 4.2.1 Background 4.2.2 Historical Data Base 4.2.3 Recent Data Collection Efforts 4.2.4 Basis for Equation 4.2.5 Reader-Harris/Gallagher Equation 4.3 Implementation Procedures 4.3.1 Introduction 4.3.2 Solution for Mass or Volume Flow Rafe 4.3.3 Special Procedures and Example Calculations for Natural Gas Applications 4.3.4 Example Calculations _ - A P I MPMS*L4.3-4 _ 0732270 O506288 322 4-4-Typical Values of Linear Coefficients of Thermal Expansion 4.5-Units Conversion Constants and Universal Constants 22 23 Tables (continued) 4-&Input Parameters for Six Example Test Cases (US IP.Metric and SI Units) 4-7-Intermediate Output for Example Test Case Number 4-8-Intermediate Output for Example Test Case Number 4-9-Intermediate Output for Example Test Case Number 4-10-Intermediate Output for Example Test Case Number 4-11-Intermediate Output for Example Test Case Number 4-12-Intermediate Output for Example Test Case Number 4-B- 1-Recommended Rounding Tolerances 4-C-1-Round Robin Test Parameters (US Units) 4-C-2-Round Robin Test Parameters (IP Units) 4-C-3-Round Robin Test Parameters (Metric Units) 4-C-”Round Robin Test Parameters (SI Units) 4-C-5-Selected Round Robin Test Results Matrix (US Units) - C d S e l e c t e d Round Robin Test Results Matrix (SI Units) Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS Not for Resale 49 51 53 55 57 59 61 74 76 77 78 79 81 111 `,,```,,,,````-`-`,,`,,`,`,,` - Page API MPMS*L4-3-'4 92 0732290 0506289 269 Chapter 14-Natural Gas Fluids Measurement SECTION 3-CONCENTRIC, SQUARE-EDGED ORIFICE METERS PART 4-BACKGROUND, DEVELOPMENT, IMPLEMENTATION PROCEDURES AND SUBROUTINE DOCUMENTATION 4.1 4.1.1 Introduction and Nomenclature INTRODUCTION This part of the standard for Concentric Square-Edged Orifice Meters provides the background and history of the development of the standard and recommends a method to solve the flow equations for mass and volumetric flow 4.1.2 NOMENCLATURE The symbols used have, in some cases, been given a more general definition than that used in other parts of API 2530 Some symbols have a different meaning than that defined elsewhere in the standard Care should therefore be given to the meaning of variables used in this document Represented Quantity Line& coefficient of thermal expansion of the orifice plate material Linear coefficient of thermal expansion of the meter tube material Ratio of orifice plate bore diameter to meter tube internal diameter (&I) calculated at flowing temperature, $ Ratio of orifice plate bore diameter to meter tube internal diameter (dD) calculated at measured temperature, T,t Ratio of orifice plate bore diameter to meter tube internal diameter (d/D) calculated at reference temperature, T, Orifice plate coefficient of discharge Coefficient of discharge at a specified pipe Reynolds number for flange-tapped orifice meter First flange-tapped orifice plate coefficient of discharge constant within iteration scheme Second flange-tapped orifice plate coefficient of discharge constant within iteration scheme Third flange-tappedorifice plate coefficient of discharge constant within iteration scheme Fourth flange-tapped orifice plate coefficient of discharge constant within iteration scheme Fifth flange-tapped orifice plate coefficient of discharge constant within iteration scheme Orifice plate coefficient of discharge bounds flag within iteration scheme Orifice plate bore diameter calculated at flowing temperature $ Meter tube internal diameter calculated at flowing temperature $ Orifice plate bore diameter calculated at reference temperature T, Meter tube internal diameter calculated at reference temperature T, Orifice plate bore diameter calculated at measured temperature Tm Meter tube internal diameter calculated at measured temperature T,, Orifice plate coefficient of discharge convergence function derivative `,,```,,,,````-`-`,,`,,`,`,,` - Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS Not for Resale A P I MPNSb34.3.4 92 W 0732290 O 3 299 W SECTION 3-CONCENTRIC SQUARE-EDGED ORIFICE METERS, PART 4-BACKGROUND 127 Table 4-C-6-Selected Round Robin Test Results Matrix-SI Units ( Dm = 0.746150 m, = 0.00001116 m/m-K, d,,, = 0.397669 m, = 0.00001665 m/m-K) Cell How Conditions Tf=255.37 K, Pf= 1.01325E+05Pa, pf,p= 932.26 kg/m3, p = 1.8650 Pa-s, k=-1.0, pb=910.83 kglm3 Value cd 4ni Q" Y ICD - Tf=293.15 K, Pf= I.O1325E+05 Pa, Cd pf+= 907.60 kg/m3, p = 2.1220E-01 P a s , 4111 k=-1.0, pb=910.83kg/m3 Qv Y ICD - Tfz353.15 K, Pf= 1.01325E+05Pa, cd pf,p= 868.43 kg/m3, p = 1.7490E-02 Pa-s, 4n1 k = -1 O, pb = 10.83 kg/m3 Qv Y ICD Tf= 288.71 K, Pf= 1.01325E+05Pa, cd pf,p= 999.01 kg/m3, p = 1.1990E-03 Pa-s, 4m k = -1.0, pb = 999.01 kg/m3 Qv Y ïj=372.04 K, Pf= 1.01325E+05 Pa, pf,p= 941.75 kg/m3, p = 2.8250E-04 Pa-s, `,,```,,,,````-`-`,,`,,`,`,,` - k = -1.0, pb = 999.01 kg/m3 559.5 - ICD c d 411, Qv Y ICD - Tf=255.37 K, Pf= 1.01325E+05 Pa, cd pf,p= 2.1 181 kg/m3, p = 1.3070E-05 Pa-s, %Il k = 1.3198, pb= 1.86131 kg/m3 Qv Y ICD - Tj= 283.15 K, Pf= 6.89476Et05 Pa, cd pf,p= 4.9831 kg/m3, p = 1.0670E-05 Pa-s, 4n1 k = 1.3622, pb = 0.708 I7 kg/m3 Qv Y ICD - Tf=255.37 K, Pj= 6.89476E+06 Pa, cd pf,p= 1042.35 kg/m3, p = 1.5430E-04 Pa-s 4nr k=-1.0, pb= 1.86131 kg/m3 Qv Y ICD - ïj=255.37 K, PI= 1.37895E+06Pa, cd pf,p= 32.783 kg/m3, p = 1.3520E-05 Pa-s, 4n1 k = 1.3198, pb= 1.86131 kg/m3 Qv 5035.6 1.16623E+W 9.1OO39E-01 1.54101E+02 3.6075 1E+02 1.69188E-01 3.96068E-01 1.00000E+0(1 l.OOOOOE+OC -4 -4 7.67058E-01 6.76588E-01 l.OO136EtO2 2.64980E+02 1.09939E-01 2.90921E-01 1.00000E+0(1 I.OOOOOE+oC -3 -3 6.24381E-01 6.14310E-01 7.98959E+OI 2.35824E+02 8.77177E-02 2.58911E-01 l.OOOOOE+OC l.OooOoE+oC x3 6.07720E-01 6.05713E-01 8.32219E+01 2.48844E+02 8.33044E-02 2.49090E-01 1.OOOOOE+~ 1.OOOOOE+OC 2 6.05316E-01 6.04311E-01 8.0712OE+Ol 2.41737E+02 8.07920E-02 2.41976E-01 l.OOOOOE+OC 1.OOOOOE+OC 2 6.05283E-01 6.04300E-01 3.80529E+C€ 1.123OOE+01 2.04442E+OC 6.03336E+OC 9.98167E-01 9.83499E-OI 6.04652E-01 6.03907E-01 5.84533E+OC 1.7478OE+Ol 8.254 13E+OC 2.46805E+01 9.99739E-01 9.97650E-01 2 6.0465 1E-01 6.03905E-01 8.4482OE+Ol 2.53136E+02 4.53885E+Ol 1.35999E+02 1.00000E+OC 1.OOOOOE+OC 6.04132E-01 6.03583E-01 1.49675E+O1 4.48 140E+OI 8.04140E+oC 2.40766E+O1 9.99865E-01 9.98787E-01 Y ICD Tf= 283.15 K, Pf= 3.44738E+06 Pa, 6.04087E-01 6.03555E-01 cd 1.35022E+OI 4.64544E+01 pf,p= 26.627 kg/m3, p = 1.131OE-05 Pa-s, 'In1 k = 1.3622, &=0.70817 kg/m3 1.90663E+OI 5.71253E+Ol Qv 9.99948E-01 9.99530E-01 Y ICD Tf=338.71 K, Pf=6.89476E+06 Pa, 6.04050E-01 6.03533E-01 cd pI,P kg/m3, p = 1.3650E-05 Pa-s, 4nr 1.74224E+Ol 5.22 121E+O1 k = 1.3622, pb = 0.70817 kg/m3 2.46020E+01 7.37283E+OI Qv 9.99974E-01 9.99765E-01 Y ICD Tf=333.15 K, Pf= 1.37895E+07Pa, 6.03983E-01 6.03491E-01 cd p,2p= 520.04 kg/m3, p = 4.1710E-05 Pa-s, 4nr 5.97660E+01 1.79l53E+oi k=-1.0, p b = 1.86131 kg/m3 3.2 1096E+01 9.62512E+OI Qv Y 1.00000E+OC 1.00000E+OC ICD ~~~ - Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS 13987.7 109663.5 7.23090E-01 1.33766E+O3 6.03220E-01 1.46861E+OO l.OOOOOE+OO l.OoM3OE+OO -3 6.41762E-01 6.3265 1E-01 6.26734E-01 6.24236E-01 6.22355E-01 4.18899E+02 5.78134E+02 8.18 181E+02 9.77902E+02 1.13745E+03 4.59909E-01 6.34733E-01 8.98280E-01 1.07364E+ûû 1.2488OE+OO 1.00000E+OO l.OOOOOE+OO I.OOOOOE+OO 1.00000E+OC 1.OooOoE+OO -3 13 13 13 6.11559E-01 I 6.10158E-01 I 6.08942E-01 I 6.08410E-01 6.07999E-01 3.91279E+02 5.46536E+02 7.79210E+02 9.34233E+02 1.08920E+O3 4.29585E-01 6.00041E-01 8.55494E-01 1.02569E+OC 1.19584E+OO 1.00000E+OO 1.00000E+00 I.OOOOOE+OO I.OOOOOE+OC 1.OOOOOE+OO 6.05095E-01 6.04763E-01 6.04464E-01 6.04328E-01 6.04222E-0 4.143 l6E+02 5.79724E+02 8.27766E+02 9.93096E+02 1.15841E+03 4.14726E-01 5.80298E-01 8.28586E-01 9.94080E-01 1.15956E+OO I.OOOOOE+OO 1.00000E+OO l.OOOOOE+OO l.OOOOOE+OC 1.00000E+OO 2 12 12 12 6.03989501 I 6.03812E-01 I6.03651E-01 16.03577E-01 6.03519E-01 4.02678E+02 5.63585E+02 8.04907E+02 9.65770E+02 1.12662E+03 4.03077E-01 5.64 144E-0 8.05704E-O1 9.66727E-O1 1.12774E+OO l.OOOOOE+O( l.OOOOOE+OO 1.00000E+OO l.OOOOOE+OC l.OOOOOE+OO 2 2 6.03996E-01 6.03842E-01 6.03724E-01 6.03689E-01 6.03682E-01 1.81492E+OJ 2.42309E+Ol 3.10532E+Ol 3.35808E+Ol 3.4 1022E+O1 9.75075E+Oí 1.30182E+01 1.66835E+Ol 1.804 15E+O1 1.83216E+Ol 9.54164E-0 9.10161E-01 8.16655E-01 7.35983E-01 6.40644E-0 2 2 6.03666E-01 6.03535E-01 6.03415E-01 6.03362E-01 6.03321E-01 2.89963E+Oi 4.033OOE+01 5.6826OE+Ol 6.73809E+01 7.74969E+01 4.09454E+OI 5.69496E+01 8.02435E+O1 9.5 l480E+01 l.O9433E+O2 9.93473E-01 9.87208E-01 9.73893E-01 9.62406E-01 9.48831E-01 2 2 6.03662E-0 6.03529E-01 6.03406501 6.03349E-01 6.03305E-01 4.21723E+O; 5.90281E+02 8.43087E+02 1.01161E+03 1.18012E+03 2.26573E+O; 3.17132E+02 4.52954E+02 5.43493E+02 6.34029E+02 I 00000E+OC 1.OOOOOE+OO 1.00000E+OO 1.("3OE+OC 1.OOOOOE+OO 6.03403E-01 6.03303E-01 6.032 12E-01 6.03 I7 IE-01 6.03139E-0 1.03953E+02 1.47455E+02 1.75871E+02 2.03706E+02 5.58495E+Ol 7.92212E+OI 9.44877E+01 1.094428+02 9.96632E-01 9.93399E-0 9.86528E-O 9.80600E-O1 9.73595E-01 2 2 6.03283E-01 6.03 l94E-01 6.03 153E-01 6.03120E-01 9.4 1537E+O1 1.34 126E+02 1.60569E+02 1.86808E+02 9.51014EtOl 1.32954E+02 1.89398E+02 2.26738E+02 2.63790E+02 9.98695E-01 9.97442E-01 9.94779E-01 9.92481E-01 9.89766E-01 6.03362E-01 6.03267E-01 6.03180E-01 6.03140E-01 6.03108E-01 8.6959OE+Ol 1.21647E+02 1.73525E+02 2.07976E+02 2.42295E+02 1.22794E+02 1.71777E+02 2.45033E+02 2.93681E+02 3.42143E+02 9.99347E-01 9.98721E-0 9.97389E-O1 9.96240E-O1 9.94883E-01 a d I 'a I'a I'a 6.03327E-01 I 6.03237E-01 I 6.03153E-01 I 6.03115E-01 6.03084E-01 2.98507E+02 4.17848E+02 5.96842E+02 7.161 64E+02 8.35483E+02 1.603758+02 2.24491E+02 3.206578+02 3.84764E+02 4.48868E+02 1.OoooOE+OO I OOOOOE+00 I 00(KX)E+OO I 00000E+OC 1.00000E+OO 2 Not for Resale I I I I l l l2 l2 l2 I ~ _ API NPMS*34-3=4 92 m 0732290 0506434 125 W CHAPTER 14-NATURAL GAS FLUIDS MEASUREMENT 128 Table 4-C-6-Selected Round Robin Test Results Matrix-SI Units ( ûm= 0.049262 m, cl2 = 0.00001116 m/m-KI dm = 0.032544 m, al = 0.00001665 m/m-K) Flow Conditions Tj= 255.37 K, Pl= 1.01325E+05 Pa, pf,p= 932.26 kg/m’, p = 1.8650Pa-s, - k=-1.0, p,,=910.83 kg/m3 Qv c, 1 Y Tj=293.15 K, Pf= 1.01325E+05 Pa, pAp= 907.60 kg/m’, p = I220E-0 I Pa-s k=-1.0, ph=910.83 kg/m3 Tj= 353.15 K, Pf= 1.01325E+05Pa, pf,+= 868.43 kg/m3, p = 1.7490E-02Pa-s k=-1.0, pb=910.83 kg/m3 ïj=288.71 K, P’= 1.01325E+05 Pa, pf,p= 999.01 kg/m3 p = 1.1990E-03 Pa-s k = -I O, p,, = 999.01 kg/m3 Tf= 372.04 K, Pf= 1.01325E+05 Pa, pf,p= 941.75 kg/m3, p = 2.8250504 Pa-s k = -1.0, pb = 999.01 kg/m3 `,,```,,,,````-`-`,,`,,`,`,,` - Tf= 255.37 K, P f = 1.01325E+05Pa, pf,p= 2.1 181 kg/m3, p = 1.3070E-05 Pa-s k = 1.3198, pb- 1.86131 kg/m3 Tf= 283.15 K, Pf= 6.89476E+05 Pa, php = 4.9831 kg/m3, p = 1.0670E-05 Pa-s k = 1.3622, pb=0.70817 kg/m3 Tf= 255.37 K, Pf= 6.89476E+06Pa, pl,p = 1042.35 kg/m3, p = 1.5430E-04Pa-s k=-1.0, pb= 1.86131 kg/m3 ïj=255.37 K, Pf= 1.37895E+06Pa, pt,p = 32.783 kg/m3, p = 1.3520E-05 Pa-s k = 1.3198, pb= 1.86131 kg/m3 ïj=283.15 K, Pf= 3.44738E+06Pa, pl,p = 26.627 kg/m3, p = 1.1310E-05 Pa-s k = 1.3622, pb= 0.70817 kg/m3 ïj=338.71 K, Pf= 6.89476E+06 Pa, p I p = 44.168 kg/m3, p = 1.3650E-05 Pa-s k 1.3622, pb = 0.70817 kg/m3 ïj= 333.15 K, Pl= 1.37895E+07 Pa, Pf,, = 520.04 kg/m3, p = 4.1710E-05 Pa-s, k = -1.0, p,, = 1.86131 kg/m3 Pa Cell Value 13987.7 27415 I 94657E+O( 9.178 13E+O( 1.00767E-02 1.OOO00E+O( 1.74130E+o( I 14944E+Ol 1.26197E-02 I OOOOOE+O( -5 9.68362E-01 6.31564E+O( 6.93394E-02 I OOOOOE+O( -4 6.49397E-01 4.15 188E+O( 4.55835E-03 I OOOOOE+O( 1.46685E+01 1.66533E+01 I 85627E+01 I ,61045E-02 I 82836E-02 2.03800E-02 1.OOOOOE+OO I OOOOOE+OO OOOOOE+o(1 -5 -5 -5 8.98564E-01 8.66463E-01 8.40876E-01 8.37202E+OO 9.68751E+00 1.09684E+01 9.19 I64E-03 1.06359E-02 1.20422E-02 OOOOOE+00 OOOOOE+00 OOOOOE+OC -4 -4 -4 6.41 i 17E-01 6.37613E-01 6.34968E-01 5.85563E+OO 6.98834E+00 8.1 1925E+OC 6.42889E-03 7.67250E-03 8.91412E-03 1.OoooOE+00 1.OoooOE+OO 1.00000E+OC 6.159 14E-01 4.21374E+O( 4.21792E-02 OOOOOE+O( 6.10844E-03 4.06967E+M 4.07370E-W OOOOOE+O( 6.1 1047E-01 1.73475E-01 9.32006E-02 9.02289E-01 6.09423E-0 2.90309E-01 4.09942E-01 9.86086E-01 6.09397501 4.25354E+o( 2.28524B+O( 1.00000E+O( 6.08236E-01 7.47498E-01 4.01598E-O1 9.92820E-01 6.08123E-01 6.77203E-01 9.5627 1E-0 9.97217E-01 6.14300E-01 6.13578E-01 6.13014501 6.00386E+00 7.19616E+00 8.38780E+OC 6.00981E-03 7.20329E-03 8.39611E-03 OoooOE+00 OoooOE+00 OoooOE+OC 2 6.10005E-01 6.09623E-01 6.09322E-01 5.80582E+00 6.96263E+00 8.1 1906E+OC 5.81 158E-03 6.96953E-03 8.32710E-03 O ~ E + O OI.OOOOOE+OO I OoooOE+OC 2 6.10456E-01 6.10301E-01 6.10308E-01 2.19676E-01 2.34662E-01 2.33951E-01 1.18022E-01 1.26073E-01 1.25692E-01 8.00591E-01 7.12851E-01 6.09158E-01 l L I‘ -, I‘ -, 6.08809E-01 I 6.08535E-01 I 6.083258-01 4.08224E-01 4.83352E-01 5.55038E-01 5.76449E-01 6.82537E-01 7.83763E-01 9.71605E-01 9.591 11E-01 9.44345E-01 2 6.08762E-01 6.08471E-01 6.08242E-01 6.07015E+00 7.28070E+00 8.49095E+W 3.26122E+OO 3.91 160E+OO 4.56182E+OO 1.00000E+OO 1.00000E+00 1.OOOOOE+Oa 2 6.07767E-OI 6.07555E-O1 6.07389E-0 1.05900E+00 1.26204E+OO 1.46053E+W 5.68954E-O1 6.78041E-0 7.84676E-O1 9.85347E-01 9.78900E-01 9.71281E-01 2 6.07663E-01 6.07453E-01 6.07288E-01 9.63893E-01 lb15337E+O0 1.34122E+OO 1.361 10E+00 1.62866E+00 1.89393E+00 9.94321E-01 9.91822E-01 9.88869E-01 6.08030E-01 8.75016E-01 1.23560E+O( 9.98608E-01 6.07874E-01 3.00530E+O( 1.61461E+OC 1.00000E+OC 6.07580E-01 6.07374E-01 6.0721 1E-01 1.24729E+W 1.49436E+W 1.74037E+OO 1.76128E+00 2.1 1017E+OO 2.45756E+00 9.97160E-01 9.95910E-01 9.94434E-01 “L I’ -, I‘ -, 6.07443M1 I 6.07245E-01 I 6.07089Eol 4.29024E+OO 5.14661E+00 6.00283E+00 2.30496E+00 2.76505E+00 3.22505E+00 1.00000E+OO 1.OOOOOE+00 1.OOOOOE+OO Cd 1.62622E+N I 1515E+O( 1.66349E-03 1.00000E+O( Qv Y ICD -5 8.68359E-01 Cd 7.93108E-01 (7r>i 8.70753E-04 Qv 1.00000E+O( Y ICD 6.33221E-01 Cd 6.18874E-01 1 6.19487E-04 Qv 1.00000E+O( Y ICD 6.18927E-01 cd 5.89070E-OI q111 5.89654E-04 Qv Y 1.OOOOOE+OC ICD 6.18777E-01 cd 2.77577502 1 1.49 130E-02 Qv 9.98006E-01 Y ICD 6.15314E-01 Cd 4.24521-2 1 5.99461E-02 Qv 9.99716501 Y ICD 6.15312E-0 cd 6.13542E-0 1 3.29629E-0 Qv 1.0000OE+OC Y ICD 6.12545E-01 cd 1.08303E-01 %Il 5.8 1865E-02 Qv 9.99853E-01 Y ICD 6.12302E-01 cd 9.76737E-02 4m 1.37924E-01 Qv Y 9.99943E-01 ICD 6.12098JCOl cd e1 1.26009E-01 1.77937E-01 Qv 9.99972E-01 Y ICD 6.11747E-01 cd 4.32060E-01 (ln1 2.32127E-01 Qv 1.00000E+OC Y -S I 18494E+O( 3.3 1208E+O( 3.63634E-01 OOOOOE+O( -4 7.04471E-0 1.93029B+O( 2.11926E-03 I 00000E+O( 6.21 185E-01 1.82135E+O( 1.82315E-03 OOOOOE+O( 6.13466E-01 I 75 I63E+O( 1.75337E-03 1.00000E+O( 6.13441E-01 8.12360E-02 4.36445E-02 9.82053E-O1 6.1 1361E-01 1.26252E-01 1.78279E-01 9.97444E-01 6.11354E-01 1.82880E+OC 9.82536E-01 1.00000E+OC 6.09680E-01 3.23014E-01 1.73541E-01 9.9868 1E-01 6.09529E-01 2.91564E-01 4.11715E-01 9.99489E-01 6.09401E-01 3.76281E-01 5.31342E-01 9.99744E-01 6.09183E-01 1.29076E+OC 6.93469E-01 1.OOOOOE+OC 1.04463E+O( 4.86647E+O( 5.34290E-03 1.00000E+O( -4 6.59396E-01 3.01 129E+O( 3.30609E-01 1.00000E+O( 6.17728E-01 3.01 868E+O( 3.021 67E-03 1.OOOOOE+O( 6.1 1766E-01 2.91 129E+O( 2.91418E-01 1.OOOOOE+O( 6.1 1845E-01 1.30654E-01 7.0 1944E-02 9.50148E-01 6.10105E-01 2.09030E-01 2.95169501 9.92901E 6.1OO90E-01 3.O4169E+O( 1.63417E+OC 1.OOOOOE+CK 6.08748E-01 5.36270E-0 2.881 14E-01 9.96337E-01 6.08623E-01 4.84775E-01 6.84547E-01 9.98580E-01 6.08518E-01 6.25940E-01 8.83883E-01 9.99290E-01 6.08341E-01 2.14829E+OC 1.15418E+OC 1.OOOOOE+OC ICD - Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS I 5035.6 2.32459E+o( 6.57631E+O( 7.2201 3E-01 I OOOOOE+o( ICD q11i I 559.5 3.49997E+M 3.30046B+O( 3.62358E-03 I OOOOOE+O( Not for Resale 55950.8 80569.1 109663.5 I 55550E+OO 1.47165E+OO 1.40605E+OC I I SECTION SCONCENTRIC, SQUARE-EDGED ORIFICE METERS PART &BACKGROUND 129 `,,```,,,,````-`-`,,`,,`,`,,` - Table 4-C-6-Selected Round Robin Test Results Matrix-SI Units ( Dm= 0.073670 m, CS = 0.00001116 m/m-K, d, = 0.048816 m, al = 0.00001665 m/m-K) Flow Conditions Tf= 255.37 K, Pf= 1.01325E+05 Pa, P,,~= 932.26 kg/m3, p = 1.8650Pa-s, k = -1.0, pb = 910.83 kg/m3 Tf= 293.15 K,Pf= 1.01325E+05Pa, pCp= 907.60 kg/m3,p = 2.1220E-01 Pa-s, k = -1.0, pb = 910.83 kg/m3 Tf=353.15 K,Pf= 1.01325EM5 Pa, P,,~= 868.43 kg/m3, p = 1.7490E-02 Pas, k = -1.0 p6 = 910.83 kg/m3 Cell Value cd 4111 Qv Y ICD cd 4ni Q” Y ICD cd 4111 Qv Y ICD Tf= 288.71 K, Pf= 1.01325E+05Pa, cd P,,~= 999.01 kg/m3,p = 1.1990E-03 Pa-s, 4111 k = -1.0, ph = 999.01 kg/m3 Qv Y ICD - Tf=372.04 K, Pf= 1.01325E+05Pa, P,,~= 941.75 kg/m3, p = 2.8250E44 Pa-s, k = -1.0, pb = 999.01 kg/m3 cd Qv Y Tf- 255.37 K, Pf= 1.01325E+05Pa, p,,,=2.1181 kg/m3,p= I.3070E-05 Pa-s, k = 1.3198, pb= 1,86131kp/m3 $= 283.15 K, Pf=6.89476E+05 Pa, P,,~= 4.983 1kg/m’, p = 1.0670E-05 Pa-s, k = 1.3622, pb = 0.70817 kg/m3 Tf= 255.37 K, Pf= 6.89476E+06 Pa, P,,~= 1042.35kg/m3, p = ~ Pa-: k=-1.0, pb= 1.86131 kg/m3 Tf= 255.37 K, Pf= 1.37895E+06 Pa, P,,~= 32.783 kg/m3, p= 1.3520E-05 Pa-s, k = 1.3198, pb = 1.86131 kg/m3 Tf=283.15 K, Pf=3.44738E+06Pa, p,,, = 26.627 kg/m3, p = 1.1310E-05 Pa-s, k = 1.3622, pb = 0.70817 kg/m3 Tf= 338.71 K, Pf=6.89476Et.06 Pa, P,,~= 44.168 kg/m3, p = 1.3650E-05 Pa-s, k = 1.3622, pb = 0.708 17 kg/m3 Tf= 333.15 K, Pf= 1.37895E+07 Pa, p,,p = 520.04 kg/m3, B= 4.1710E-05 Pa-s, k = -1.0, pb = 1.86131 kg/m3 Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS ICD Cd 4111 Qv Y ICD - Pa 559.5 5035.6 3.02095E+OC 6.41887E+OC 7.04727E-03 1.00000E+OC -6 €.44471E+OC 3.03293E+ûC 3.32986E-03 1.00000E+OC -5 8.04107E-01 1.65483E+OC 1.8 1683E-03 1.00000E+00 6.26553E-01 1.37978E+OC 1.38114E-03 l.OOOOOE+OC 6.15093E-01 1.31909E+OC 1.32040E-03 1.OOOOOE+OC 6.14973E-01 6.21595E-02 3.33956E-02 9.98003E-01 2.03 116E+oC 1.29475E+03 1.42150E-02 1.00000EHK 6.121 1OE-01 9.51558E-02 1.34369E-01 Y 9.997 16E-01 ICD 6.12109E-01 cd 1.37525E+00 4ni 7.38861E-01 Q, Y 1.00000E+00 ICD 6.09789E-01 cd 2.42933E-01 4111 1.30517EM1 Qv Y 9.99853E-01 ICD 6.09584E-01 2.19104E-01 4ni 3.09394E-01 Qv 9.99943E-01 Y ICD 6.09409E-01 cd 2.82681E-01 clni 3.99171E-ûl Qv Y 9.99972E-01 ICD 6.091 13E-01 cd 9.69339E-01 9nz 5.20783E-01 Qv Y 1.00000E+ûC ICD Cd 9ni Q” -5 1.07496E+oC 6.770 19E+OC 7.43299E-03 l.OOOOOE+OC 6.62434E-O1 4.08985E+OC 4.49024E-03 l.oooOOE+OC 6.16940E-01 4.07587E+oC 4.0799 1E-03 1.00000E+OC 6.10561E-01 3.92815E+oC 3.93204E-03 1.00000E+OC 6.10543E-01 1.82173E-01 9.78733E-02 9.82023E-01 6.08787E-01 2.83274E-01 4.oooO9E-01 9.97440E-01 6.08782E-01 4.10337E+OC 2.20456E+OC 1.00000E+OC 13987.7 27415 55950.8 80569.1 1.7 1348E+W I.54120E+00 1.38544E+00 1.31519E+C€ 1.82040E+01 2.29232E+Ol 2.94377E+01 3.35341E+01 1.99861E-02 2.5I673E-02 3.23197E-02 3.68171E-02 l.OOOOOE+OO 1.00000E+00 1.OOOOOE+00 l.OOOOOE+Oc -5 -5 -5 -5 9.56713E-01 8.91648E-01 8.30968E-01 8.02446E-01 1.00424E+Ol 1.31032E+01 1.74450E+01 2.02154E+01 1.1O256E-02 1.43860E-02 1.9 1528E-02 2.21945E-02 l.OOOOOE+OO 1.00000E+00 1.00000E+00 l.OOOOOE+OC -4 -4 6.467220-01 6.39093E-O1 6.327 13E-0 6.29989E-O 6.65472E+00 9.20670E+00 1.30211E+O1 1.55581E+Ol 7.30621E-03 1.O 1080E-02 1.42959E-02 1.708 12E-02 1.OOOOOE+00 l.OOOOOE+OO l.OOOOOE+OO 1.00000E+OC 3 3 6.14109E-01 6.12608E-41 6.11263E-01 6.10657E-01 6.76193E+OO 9.44355E+00 1.34612E+O1 1.61374E+Ol 6.76863E-03 9.45291E-03 1.34745E-02 1.61534E-02 l.OOOOOE+OO 1.OoooOE+00 I.OOOOOE+OO I.Mx)OOE+OC 2 2 6.09 127E-O1 6.08345E-0 6.07630E-0 6.07304E-O 6.53153E+00 9.13240E+00 1.30309E+OI 1.56287E+OI 6.53800E-03 9.14145E-03 1.30439E-02 1.56442E-02 l.OOOOOE+00 1.OoooOE+00 I.OOOOOE+OO I.OOOOOE+OC 2 6.08522E-01 6.08019E-01 6.07888E-01 3.89191E-01 4.92795E-01 5.26294E-01 2.09095E-01 2.64757E-01 2.82755E-01 9.50063E-01 9.02123E-01 8.00252E-01 7.12363E-01 2 6.07719E-01 6.07136E-01 6.06609E-01 6.06374E-01 4.69 144E-0 6.51660E-01 9.16452E-01 1.08516E+OC 6.62474E-01 9.20203E-01 1.2941 1E+00 1.53234E+OC 9.92889E-01 9.86063E-01 9.71556E-01 9.59041E-01 2 ~ 6.07357E-01 7.25047Eco1 3.89536E-01 9.98679E-01 6.07226E-01 6.54477E-01 9.24181E-01 9.99488E-01 6.06558E-01 1.20398E+N 6.46846E-01 9.9633 1E-01 6.06449E-01 1.08840E+(x 1.53693E+0( 9.98578E-01 6.071 14E-01 8.44666E-01 I 14275E+OC 9.99744E-01 6.06928E-01 2.89762E+oC 1.55676E+oC 1.00000E+OC 6.06357E-01 1.40538E+OC 1.98452E+0( 9.99289E-01 6.06205E-01 4.82359E+0( 2.59150E+0( 1,00000E+O( Not for Resale 2 6.061 17E-01 6.05713E-01 1.67839E+00 2.37804E+00 9.01727E-01 1.27762E+W 9.92808E-01 9.85323E-01 2 6.06019E-01 6.05623E-01 1.52060E+00 2.16455E+00 2.14723E+00 3.05655E+00 9.97213E-01 9.9431 1E-01 2 6.05937E-01 6.05549E-01 1.96482Em 2.80101E+00 2.77450E+00 3.95528E+00 9.98606E-01 9.97155E-01 2 6.05803E-01 6.05431E-01 6.74855E+00 9.63487E+00 3.62570E+00 5.17639E+00 1.OOOOOE+00 1.OOOOOE+00 2 6.05530E-01 2.83409E+OC 1.52263E+OC 9.78864E-01 6.05441E-01 2.59015E+OC 3.65752E+Qï 9.91808E-01 6.05371E-01 3.35601EM 4.73899E+OC 9.95903E-01 6.05260E-01 1.15586E+01 6.20991E+OC 1.00000E+OC 109663.5 1.26025E+00 3.74888E+01 4.1 1589E-02 l.OOOOOE+OO -5 7.793 16E-O1 2.29049E+Ol 2.5 1473E-02 1.00000E+OO -4 6.27923E-01 1.809l6E+OI 1.98627E-02 1.00000E+00 6.10183E-01 1.88123E+O1 1.88310E-02 1.00000E+00 6.07046E-01 1.82258E+O1 1.82439E-02 1.00000E+00 6.07895E-01 5.24487E-01 2.81784E-01 6.08494E-01 6.06193E-01 1.24612E+00 1.75963E+00 9.4425 1E-01 6.06123E-01 1.90653E+01 1.02430E+01 1.00000E+00 6.05387E-01 3.27988E+00 1.76213E+00 9.7 1232E-01 6.05298501 3.012 12E+00 4.25338E+00 9.88850E-01 6.05230E-01 3.90862E+ûO 5.51932E+00 9.94424E-01 6.05 124E-01 1.3482OE+Ol 7.24327E+00 1.00000E+00 130 CHAPTER 14-NATURAL GAS FLUIDS MEASUREMENT Table 4-C-&Selected Round Robin Test Results Matrix-SI Units ( Dm = 0.102270 m, a;! = 0.00001116 m/m-K, d, = 0.067667 m, al = 0.00001665 m/m-K) - ïj= 255.37 K, Pf= 1.013258+05 Pa, pf,p= 932.26 kg/m3,p = 1.8650 Pa-s, k = -I O, pb = 910.83 kg/m3 pf.p= 907.60 kg/m', p = 2.1220E-01 Pa-s k = -I O, ph= 910.83 kg/m3 r/=353.15 K,Pf= 1.01325E+05 Pa, pf.p= 868.43 kg/m7, p = 1.7490E-02 Pa-s, k = -1.0, ph = 910.83 kg/mg ïj=288.71 K, Pf= 1.01325E+05 Pa, pf,p= 999.01 kg/m3, p = 1.1990E-03 Pa-s, k = -1.0, pb = 999.01 kg/m7 ïj=372.04 K, Pf= 1.01325E+05Pa, pf,p= 941.75 kg/m', p = 2.8250E-04 Pa-s, k = -1.0, pb = 999.01 kg/m3 r/= 255.37 K, Pf= 1.01325E+05Pa, prp = 2.1 I8 kg/m', p = 1.3070E-05 Pa-s, k = 1.3198,pb= 1.86131 kg/m3 Ti= 283.15 K, Pl= 6.89476E+05 Pa, pf,p= 4.983 kg/m7, p = 1.0670E-05 Pa-s, k=-1.3622,pb=0.70817 kg/m3 r/= 255.37 K, Pf= 6.89476E+06 Pa, pbp= 1042.35 kg/m3, p = 1.5430E-04Pa-' k=-l.O,pb= 1.86131 kg/m3 r/= 255.37 K, Pf= 1.37895E+06Pa, pf,p= 32.783 kg/m3, p = 1.3520E-05 Pa-s, k = 1.3198,pb= 1.86131 kg/m3 ïj=283.15 K, Pf= 3.44738E+06 Pa, pf,p= 26.627 kg/m3, p = 1.1310E-05 Pa-s, k = 1.3622, pb= 0.70817 kg/m3 ïj=338.71 K, Pf= 6.89476E+06 Pa, pf,p= 44.168 kg/m3, p = 1.3650E-05 Pa-s, k = 1.3622, pb= 0.70817 kg/m3 Ti= 333.15 K, Pi= 1.37895E+07 Pa, pf,+,= 520.04 kg/m3, p = 4.1710E-05 Pa-s, k = -1 o, pb = 1.86131 kg/m3 Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS 559.5 - c, 4111 Q, Y r/= 293.15 K, Pf= 1.01325E+05 Pa, Pa Cell Valu 5035.6 13987.7 2.67749E+O l.O9236E+O 19930E-0: 1.00000E+Oi I ICE -6 I 31525E+01 5.301688+01 4111 5.8207 1E-O: QI Y I OOOOOE+Oi ICE -5 c, 7.5567650 2.98605E+CH 1 Qin 3.27839E-0: Y I 00000E+O( ICD -3 6.14376E-0 I 6.1 1969E-01 6.224 I3E-0 cd 2.63 180E+Oi 7.79355E+3+0(:1.29383E+O1 1 Qin 2.6344 I E-0: 7.80 127E-03 1.295 1E-02 Y I OOOOOE+Oi 1.00000E+Oa 1.00000E+OC 2 ICD 6.12804E-01 6.089 15E-01 6.07673E-01 Cd 2.52336E+3+0( 7.522 lOE+OC 1.251 12E+OI 4111 Qi? 2.52586E-0: 7.52955E-03 I 25236E-02 1.00000E+Oí 1.OOOOOE+OC 1.OOOOOE+OC Y 2 ICD 6.12707E-0 i 6.08906E-01 6.07740E-01 Cd 1.189 13E-01 3.48857E-01 5.61443E-01 4111 6.38867E-02 1.87425E-01 3.01639E-01 9.98OO4E-O I 9.82038E-01 9.50105E-01 Y 2 ICD 6.10255E-01 6.0738 1E-01 6.06450E-01 cd 1.82155Eol 5.42660E-0 8.98928E-0 9in Q,, 2.572 19E-01 7.66285501 1.26937E+OO 5.997 16E-01 9.97442E-01 9.92895E-01 Y 2 ICD 6.10255E-03 6.07378E-0 6.0644lE-0 Cd 2.63262E+3+0( 7.8607 1E+OO 1.30809E+01 4lil 1.41439E+O( 4.22321E+00 7.02781E+OO QV l.OOOOOE+O( 1.00000E+OO l.OOOOOE+00 Y ICD 2 5.08253E-01 6.06136E-01 6.05436E-01 Cd t.65281E-01 1.38936E+00 2.3075OE+OO 4111 QV 2.49975E-03 7.46445E-01 1.23972E+00 3.99853E-01 9.98680E-01 9.96334E-01 Y 2 ICD 3.08073E-03 6.06020E-01 6.05340E-01 Cd L19658E-01 1.25417E+OO 2.08602E+OO 411, Qv 3.92596E-01 1.77lOoE+OO 2.94565E+00 2.99943E-01 9.99488E-01 9.98579E-01 Y 2 ICD 6.05920E-01 6.05256501 5.07919E-01 cd 3.41448E-01 1.61865E+ûO 2.69356E+00 %Il Q" 1.64573E-01 2.28568E+OO 3.80355E+00 3.99972E-01 9.99744E-01 9.99289E-01 Y 2 [CD - l j.07662E-01 6.05757E-01 6.05123E-01 cd l.85679E+OC 5.55297E+OO 9.24524E+00 4111 Qv 3.97573E-01 2.98337E+M 4.96706E+00 l.OOOOOE+OC l.OOOOOE+OO 1.OOOOOE+00 Y 2 iCD - l c/ e, Not for Resale 27415 I 55950.8 I 80569.1 I 109663.5 1.39839E+00 1.26419E+00 1.20368E+00 1.15635E+o( 3.99364E+Ol 5.15766E+OI 5.89295E+Ol 6.604788+0 4.38461E-02 5.66260E-02 6.46987E-02 7.25 138E-0: I 00000E+OO 1.00000E+00 1.00000E+00 1.OoooOE+o( -S -S -5 -4 8.35705E-01 7.80665E-01 7.54158E-01 7.32280E-01 2.35809E+OI 3.14684E+OI 3.64799E+Ol 4.13252E+0 2.58895E-02 3.45491E-02 4.00513E-02 4.53709E-0; 1.OOOOOE+O( 1.OOOOOE+00 1.OOOOOE+00 I OOOOOE+O( -4 -4 -3 -3 6.32664E-û I 6.27474E-01 6.25242l501 6.23542E-01 1.74999E+01 2.47948E+OI 2.96479E+01 3.44952E+O 1.92132E-02 2.72222E-02 3.25505E-02 3.78723E-02 1.OOOOOE+OC 1.OoooOE+00 1.OoooOE+00 I OOOOOE+o( 3 3 6.10683E-01 6.09525E-01 6.09003E-01 6.08593E-01 1.80756E+OI 2.57733E+01 3.09014E+01 3.60274E+OI I 80935E-02 2.57988E-02 3.09320E-02 3.6063 1E-02 I 00000E+OC I OOOOOE+OO I OOO00E+00 1.OOOOOE+Oí 2 2 6.06992E-01 6.06369E-01 6.06083E-01 6.05858E-01 1.74961E+OI 2.49687E+01 2.99484E+01 3.49268E+OI 1.75134E-02 2.49935E-02 2.99780E-02 3.49614E-01 1.00000E+OC l.OOOOOE+00 1.OOOOOE+OO 1.OoooOE+O( 2 6.07 152E-01 6.067 14E-01 6.06599E-01 6.06605E-01 7.4567 IE-01 9.4438IE-01 1.00547E+O( 5.40195E-01 4.006 16E-0 5.07375E-O1 6.08820E-03 9.02205E-01 8.00418E-01 6.05115E-01 1.24880E+OC 1.75645E+OC 2.38853E+o( 3.37282E+3+0( I 76342E+OC 2.48026E+oC 9.44297E-01 9.86074E-0 9.71580E-01 2 6.05924E-01 6.05447E-01 6.05228E-01 6.05055E-01 3.65429E+O1 1.82977E+O1 2.61 190E+01 1.96329E+Ol 9.830548+00 I 40326E+01 1.00000E+OC 1.000M)E+OO I 00000E+OO I I 6.04408E-01 6.28766E+M 3.37809E+OC 9.7 1256E-01 6.04329E-01 5.77435E+OC 1.115728+00 5.85913E+00 7.01 141E+00 8.15391E+OC 3.97215E-01 9.943 16E-O1 9.91 81 5E-01 9.88859E-O1 2 2 5.04887E-01 6.04546E-01 6.04390E-01 6.042668431 3.76612E+00 5.36933E+(K) 6.433448+00 7.49301 E+OC 5.31810E+00 7.58197E+Oo 9.084608+00 1.058088+01 >.98607E-01 9.97 158E-01 9.959078-01 9.94429E-01 2 5.04770&01 6.04443E-O1 6.04292E-01 6.04173E-01 I 29358E+01 1.846978+01 2.2 1581E+01 2.58460E+01 ;.94983E+OO 9.92295E+3+00 1.190468t01 1.388598+01 I.00000E+OO 1.OOOOOC+00 1.00000E+OO I OoooOE+OO 12 12 12 `,,```,,,,````-`-`,,`,,`,`,,` - Flow Conditions API M P M S * - m 92 m 0732290 0506417 934 m SECTION 3-CONCENTRIC, 131 SQUARE-EDGED ORIFICE METERS, PART 4-BACKGROUND Table 4-C-6-Selected Round Robin Test Results Matrix-SI Units ( D,,, = 0.202729 m, % = 0.00001116 m/m-K, d,,, = 0.134342 m, = 0.00001665 m/m-K) Row Conditions Tf= 255.37 K, Pf= 1.01325E+05Pa, pf,p= 932.26 kg/m3, p = 1.8650 Pa-s, k=-1.0, pb=910.83 kg/m3 Pa Cell falue 55950.8 - 1.06521E+GU 1.71422E+02 1.88204E-01 1.OOOOOE+OO cd ?ni Q" Y [CD - Ti= 293.15 K, PJ= 1.01325E+05Pa, pi,p= 907.60 kg/m3, p = 2.1220E-01 Pa-s, k = -1.0, pb = 910.83 kg/m3 Tf= 353.15 K, Pf= 1.01325E+05Pa, pf,p= 868.43 kg/m3, p = 1.7490E-02 Pa-s, k = -1.0, pb = 910.83 kg/m3 Tf= 288.71 K, Pf= 1.01325E+05Pa, pf,p= 999.01 kg/m3, p = 1.1990E-03 Pa-s, k = -1.0, pb = 999.01 kg/m3 cd lnr Qv -4 1.10290E+OO 1.75359E+Ol 1.92527E-02 l.OOOOOE+OO 8.64632E-01 4.12430E+Ol 4.52807E-02 l.OOOOOE+00 7.82848E-01 6.22364E+Ol 6.83294502 1.00000E+00 7.33854E-01 8.16779E+01 8.96742E-02 1.00000E+00 Y d d d -2 iCD I ' I r I d 6.65546E-01 I 6.34768E-01 I 6.26700E-01 I 6.22658501 cd 1.03736E+OI 2.96818E+Ol 4.88408E+01 6.79361E+Ol 4in 1.13891E-02 3.25877E-02 5.36223E-02 7.45870E-02 Qv Y 1.00000E+00 1.00000E+00 1.00000E+00 l.OOOOOE+OO [CD -3 3 6.15735E-01 6.10062E-01 6.08308E-01 6.07358E-01 cd 1.02697E+01 3.05254E+OI 5.07293E+OI 7.09102E+Ol 4nr 1.02798E-02 3.05557E-02 5.07796E-02 7.09805E-02 Qv 1.00000E+00 l.OOOOOE+OO 1.00000E+00 l.OOOOOE+OO Y 12 12 12 [CD 6.08913E-01 I 6.06031E-01 I 6.05094E-01 I 6.04577E-01 cd 9.89008E+00 2.95301E+01 4.91406E+01 6.8738OE+Ol 9nr 9.899888-03 2.95594E-02 4.91893E-02 6.88062E-02 Qv _ Tf=372.04 K, Pf= 1.01325E+05 Pa, pf,p= 941.75 kg/m3, p = 2.8250E-04 Pa-s, k=-1.0, pb = 999.01 kg/m3 Y Tf= 255.37 K, Pf= 1.01325E+05Pa, pf,,=2.1181 kg/m3,p= 1.3070E-05 Pa-s, k = 1.3198,pb= 1.86131 kg/m3 Tf=283.15 K, Pf= 6.89476E+05 Pa, P,,~= 4.9831 kg/m3, p = 1.0670E-05 Pa-s, k = 1.3622, pb = 0.70817 kg/m3 l I ICD cd 4.66094E-01 2.50412E-01 Qv Y 9.98002E-01 ICD 2 -2 6.07041E-01 6.04881E-01 6.04171E-01 6.03780E-01 cd 7.14718E-01 2.13168E+00 3.53243B+OO 4.90823E+OC 9in 1.00925E+00 3.01013E+00 4.9881 1E+00 6.93086E+W Qv 9.997 16E-0 9.97440E-O 9.92889501 9.86062E-0 Y ICD 2 2 6.07044E-01 6.04881501 6.04166E-01 6.03769E-01 cd 1.03296E+Ol 3.08787E+Ol 5.14036E+Ol 7.19177E+Ol 4ni 5.54964E+00 1.65898E+Ol 2.76169E+Ol 3.86382E+Ol Qv 1.00000E+OO 1.00000E+00 l.ooOOOE+00 1.00000E+Oû Y ICD 6.05543E-01 6.03932E-01 6.03394E-01 6.03096E-01 cd 1.82710E+00 5.46036E+00 9.07108E+OO 1.26484E+01 4m 9.81622E-01 2.93361E+00 4.87349E+00 6.79541E+OC Qv 9.99853E-01 9.98679E-01 9.96331E-01 9.92808E-01 Y 2 ICD -2 6.05405E-01 6.03841E-01 6.03317E-01 6.03026E-01 cd 1.64806E+00 4.92921E+OO 8.20073E+00 1.14598E+Ol 4nr 2.3272 1E+00 6.96049E+00 1.158O2E+01 1.61823E+O1 Qv Y 9.99943E-01 9.99488E-01 9.985783-01 9.97212E-01 ICD 2 -2 6.05283E-01 6.03759E-01 6.03248E-01 6.02963E-0 cd 2.12646E+00 6.36193E+00 l.O5894E+Ol 1.4808OE+Ol 4m 3.00276E+ûû 8.98362E+OO 1.49532E+Ol 2.09103E+01 Qv Y 9.99972E-01 9.99744E-01 9.99289E-01 9.98606E-01 ICD 2 2 6.05089E-01 6.03634E-01 6.03145E-01 6.02872E-01 cd 7.29304E+00 2.18267E+01 3.63483E+O1 5.08646E+Ol 4m 3.9 1823E+OO l.l7265E+OI 1.95283E+O1 2.73273E+OI Qv Y 1.00000E+00 l.OOOOOE+OO 1.00000E+C€ 1.00000E+OC ICD 2 -2 qn, _ T/= 255.37 K, P f = 6.89476E+06 Pa, pf,p= 1042.35 kg/m3, p = I.5430E-04 Pa-s k=-l.o,Pb= 1.86131 kg/m3 T/= 255.37 K, Pf= 1.37895E+06Pa, pf,p= 32.783 kg/m3, p = 1.3520E-05 Pa-s, k = 1.3198,pb= 1.86131 kg/m3 Tf= 283.15 K, Pf= 3.44738E+06 Pa, pfp= 26.627 kg/m3, p = 1.1310E-05 Pa-s, k k 1.3622, pb = 0.70817 kg/m3 Tf= 338.71 K, P f = 6.89476E+06 Pa, pf,p= 44.168 kg/m3, p = 1.3650E-05 Pa-s, k = 1.3622, pb = 0.70817 kg/m3 T/=333.15 K, Pf= 1.37895E+07Pa, pi,,, = 520.04 kg/m3, p = 4.1710E-05 Pa-s, k = -1.0, p b = 1.86131 k g / d `,,```,,,,````-`-`,,`,,`,`,,` - Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS Not for Resale 6.83451E-01 l.O8669E+O2 1.19307E-01 I.OOOOOE+Oa -3 6.19 186E-01 9.65103E+Ol 1.05959E-01 1.00000E+OC 6.06496E-01 1.O1156E+02 1.O 1257E-01 1.00000E+OC 6.04100E-01 9.81198E+Ol 9.82170E-02 1.00000E+OC 6.04375E-01 3.70991E+OC 1.993 17E+OC 8.00245E-O1 6.03425E-01 6.90454E+OC 9.74984E+OC 9.71555E-01 6.03402E-O1 l.O2677E+O2 5.5 1639E+O1 1.00000E+OC 6.02821E-01 1.79247E+Ol 9.63014E+oC 9.85322E-0 6.02756E-01 1.63162E+OI 2.30399E+Ol 9.94311E-01 6.02698E-01 2.1 1143E+OI 2.98 153E+O1 9.97155E-01 6.026 18E-0 7.26331E+OI 3.90226E+O1 1.00000E+CX 6.65106E-01 1.26902E+02 1.39326E-01 1.OoooOE+00 6.59243E-01 1.46747E+02 1.61114E-01 1.0oooOE+00 1.26839E-01 1.47701E-0 l.OOOOOE+OO 1.21430E-01 1.41596E-01 I' 6.03882E-01 I 6.03709E-01 6.04292E-01 3.94871E+00 2.12147E+00 6.08481E-01 6.03 144E-0 9.39029E+00 1.32599E+O1 9.44249E-01 6.03100E-01 1.43676E+02 7.7 1908E+01 1.00000E+OO 6.02598E-01 2.47265E+Ol 1.32845E+O1 9.7123 1E-01 6.02534E-01 2.27088E+Ol 3.20669E+01 9.88850E-01 6.02480E-01 2.94684E+01 4.16 120E+01 9.94424E-0 6.02408E-01 8.7 1427E+01 1.O 1651E+02 4.68 180E+OI 5.461258+01 1.00000E+00 1.00000E+00 6.04287E-01 3.96236E+Oí 2.12880E+Oí 7.12354E-01 6.03266E-01 8.17656E+Oí l.l546OE+O I 9.59040E-01 6.03233E-01 1.23178E+Oí 6.6 1782E+01 1.00000E+O( 6.02696E-01 2.13642E+OI 1.14780E+Ol 9.78864E-01 6.02632E-01 1.95261E+O1 2.75726E+OI 9.91808E-01 I CHAPTER 14-NATURAL GAS FLUIDS MEASUREMENT 132 Table 4-C-&Selected Round Robin Test Results Matrix-SI Units ( Dm = 0.363513 m, % = 0.00001116 m/m-K, d,,, = 0.240705 m, al = 0.00001 665 m/m-K) Flow Conditions Tf= 255.37 K, PJ= 1.01325E+05 Pa, prSp = 932.26 kg/rn3,/.I = 1.8650 Pa-s, k=-l.O,pb=910.83 kglrn’ c, T/=293.15 K, Pf= I.O1325E+O5 Pa, p,,,) = 907.60 kg/m3, /.I = 2.1220E-01 Pa-s, k.=-I.O,pb=910.83 kg/m3 T/= 353.15 K, Pf= 1.01325E+05 Pa, = 868.43 kglrn3,p = 1.7490E-02 Pa-s, k = -1 O, pb = 10.83 kg/m3 ïj=288.7 I K, Pf= 1.O1 325E+05 Pa, = 999.01 kg/m3, p = I 1990E-03 Pa-s, k = -1 o, pb = 999.0 kg/rn3 9nr Q” Y ICD Cd 9nr Qv Y ICD cd 1 Qv Y ICD cd 9ni Qv Y ICD - Tj= 372.04 K, Pf= 1.01325E+05 Pa, Cd = 941.75 kg/rn3,p = 2.8250E-04 Pa-s, 9m k = -1.0, pb = 999.01 kg/rn3 Q” Y ICD - TI= 255.37 K, P f = 1.01325E+05 Pa, pr,p=2.1181kg/m3,p= 1.3070505 Pa-s, k = 1.3198,pb= 1.86131 kg/m3 ïj=283.15 K, P f = 6.89476E+05 Pa, Cd qni Qv Y ICD Cd pip= 4.9831 kg/m3, p = 1.0670E-05 Pa-s, 9ni k A 1,3622,pb = 0.70817 kg/m3 Qv Y 9.63377E-01 4.91563E+OI 5.39687E-02 I OOOOOE+OO 7.72226E-01 1.1821OE+O2 1.29782E-01 I OOOOOE+W -4 6.46078E-01 6.25379E-01 3.23164E+OI 9.38442E+Ol 3.54802E-02 1.03032E-01 I OOOOOE+00 1.00000E+W 3 6.1 3859E-01 6.07601E-01 3.27494E+01 9.75654E+01 3.278 18E-02 9.76620E-02 I OOOOOE+OO 1.00000E+OO 2 6.06716E-01 6.04479E-01 3.16241E+01 9.45235E+Ol 3.16555E-02 9.46172E-02 1.00000E+00 1.OOOOOE+OO 2 6.06676E-01 6.04488E-01 1.49042E+OO 4.38387E+00 8.00736E-01 2.35526E+OO 9.98003E-01 9.82030E-01 2 6.05273E-01 6.03578E-01 2.28695E+OO 6.82615E+00 3.229388+00 9.63914E+00 9.99716E-01 9.97441E-01 I ICD - Tf=255.37 K, Pf= 6.89476E+06 Pa, = 1042.35 kg/m3, p = 1.5430E-04 Pa-s k=-i.û,pb= 1.86131 kg/m3 ïj=255.37 K, Pf= 1.37895E+06Pa, pf,p= 32.783 kg/m3, p = 1.3520E-05 Pa-s, k = 1.3198,pb=1.86131 kg/rn3 cd ‘?ni Qv Y ICD cd 1 Qv Y ICD ïj=283.15 K, Pf= 3.44738E+06 Pa, pf,p= 26.627 kg/rn3,p = 1.131OE-05 Pa-s, k = 1.3622, pb = 0.70817 kg/m3 ïj=338.71 K, PJ= 6.89476E+06 Pa, pbp = 44.168 kg/m3, p = 1.3650E-05 Pa-s, k = 1.3622, pb = 0.70817 kg/rn3 cd cini Qv Y ICD cd cirri Qv Y TJ= 333.15 K, PJ= 1.37895E+O7 Pa, pf,p= 520.04 kg/m3, p = 4.1710E-05 Pa-s, k=-1.0, pb = 1.86131kg/rn3 ICD cd 4ni Qv Y 6.99061E-01 6.63304E-0 1.78349E+02 2.36917E+02 1.95809E-01 2.601 11E-0l 1.OOOOOE+W 1.00000E+W -3 -3 6.19757E-01 6.16885E-01 1.55000E+02 I5995E+02 3.70175E-01 2.37 141E-01 I 00000E+W I.OOOOOE+OC 6.06255E-01 6.055 19E-01 1.62248E+02 2.26872E+02 I ,624O9E-01 2.27097E-0 1.00000E+W l.OOOOOE+OC 2 6.03742E-01 6.03333E-01 1.57347E+02 2.20136E+02 1.57503E-01 2.20354E-0 1.OoooOE+Oû 1.OOOOOE+OC 2 6.03797E-01 6.03444E-0 7.06065E+00 9.38085E+W 3.79338E+00 5.03992E+íX 9.50083E-01 9.021 62501 2 6.03016E-01 6.02706E-01 1.13144E+01 1.57233E+01 3.59770E+OI 2.220278+01 9.92892E-01 9.86068E-01 6.05277E-0 I 6.0358OE-01 6.030 l4E-O 6.02698E-0 3.30527E+Ol 9.88811E+Ol 1.64647E+02 2.30385E+02 1.77578E+Ol 5.31245E+01 8.84575E+01 1.23776E+02 I.OOOOOE+OO 1.OOOOOE+OO I OoooOE+OO 1.OOOOOE+W 2 2 6.04102E-01 6.02828E-01 6.02399E-01 6.02161E-01 5.84948E+OO 1.74910E+01 2.90625E+Ol 4.05276E+Ol 3.14267E+OO 9.39717B+OO 1.56140E+01 2.17737E+01 9.99853E-01 9.98680E-01 9.96332E-01 9.9281 1E-01 2 2 6.03992E-01 6.02754E-01 6.02336E-01 6.02103E-01 5.27652E+OO 1.57901E+01 2.62745E+01 3.67199E+Ol 7.45092E+ûO 2.2297OE+Ol 3.7102OE+Ol 5.18518E+01 9.99943E-01 9.99488E-01 9.98578E-01 9.97214E-01 12 12 12 6.03893501 6.02685E-01~6.02278E-01 6.02049E-01 6.80844E+00 2.038OOE+01 3.39282E+O1 4.74491E+O1 9.61413E+OO 2.87784E+Ol 4.79097E+Ol 6.70024E+01 9.99972E-Ol 9.99744E-01 9.99289E-01 9.98607E-O1 2 2 6.0374OE-01 6.0258650 6.02 196E-O1 6.0 1977E-01 2.33522Et01 6.99234E+01 1.16463E+O2 1.62989E+02 1.25461E+O1 3.75668E+O1 6.25706E+OI 8.7567OE+O1 1.OOOOOE+OO l.OOOOOE+OO 1.OOOOOE+OO l.OOOOOE+W I I ICD - Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS I 55950.8 80569.1 109663.5 9.34104E-01 4.82406E+02 5.29634E-O1 I OOOOOE+OC 8.99057E-01 5.57168E+02 6.11714E-01 1.00000E+OC 8.7 1263E-O1 6.29934E+Oi 6.9 1604E-01 1.00000E+O( -4 -4 -4 6.50969E-O1 3.32159E+02 3.64678E-01 I 00000E+OC 6.14382E-O1 3.073 13E+02 3.37398E-01 1.000OOE+OC 6.45788E-01 3.954 18E+02 4.34 130E-O1 I 00000E+O( 6.13279E-01 3.681 13E+02 4.041 1E-0 I I 00000E+OC 6.419OOE-01 4.58544E+01 5.03436E-01 I 00000E+O( 6.12425E-01 4.28867E+01 4.70853E-03 I 00000E+O( 6.04848E-û 3.23743E+02 3.24064E-01 1.00000E+OC 6.02955E-0 3.14283E+02 3.14595E-01 1.OOOOOE+OC 6.03179E-01 1.18833E+OI 6.38440E+OC 8.00331E-01 6.02423E-01 2.2121 1E+01 3.12370E+01 9.71568E-01 6.02406E-01 3.28962E+02 1.76737E+02 I OOOOOE+OC 6.04541E-01 3.88295E+Oi 3.88679E-0 1.00000E+OC 6.0278 I E N 3.7703lE+Oi 3.77405E-0 1.00000E+OC 6.04299E-03 4.52829E+Oí 4.53278E-01 1.00000E+O( 6.02644E-0 4.39769E+Oí 4.40205E-01 I OOOOOE+O( 6.031 1OE-01 1.26932E+01 6.8 1950E+OC 7.12477E-01 6.02296E-01 2.6 1980E+OI 3.69939E+01 9.59058E-O1 6.03 13E-01 I 26508E+OI 6.79670B+O( 6.0865OE-01 6.02198E-01 3.00883E+01 4.24873E+01 9.44273E-O 6.02 164E-01 4.60361E+0; 2.47332E+01 1.000OOE+OC 6.01762E-01 7.9241 8E+OI 4.25731E+03 9.7 1244E-01 6.0 1709E-0I 7.27764E+03 1.02767E+0: 9.88855E-01 6.0 l663E-01 9.44401E+OI 1.33358E+O1 9.94426E-O1 6.01605E-01 3.25777E+02 1.75026E+01 6.01941E-01 5.74392E+OI 3.08596E+01 9.85328E-01 6.01 887E-01 5.22856E+01 7.3832OE+Ol 9.94314E-01 6.01838E-01 6.76621E+01 9.55450E+01 9.97 156E-01 6.01774E-01 2.32763E+02 1.25053E+02 1.OOOOOE+OC Not for Resale 6.02271E-01 3.94665E+Oi 2.12036E+Oi l.OOOOOE+OC 6.01841E-01 6.8464OE+OI 3.67827E+OI 9.78873E-01 6.0 1787E-01 6.25745E+OI 8.83608E+OI 9.918 12E-01 6.0 174OE-01 8.10795E+01 I4492E+02 9.95905E-01 6.0 1680E-01 2.79272E+02 1.50041E+02 `,,```,,,,````-`-`,,`,,`,`,,` - Pa Cell Value API MPMS*L4-3-4 92 0732290 05064117 7 133 SECTION 3-CONCENTRIC, SQUARE-EDGED ORIFICE METERS, PART &BACKGROUND Table 4-C-6-Selected Round Robin Test Results Matrix-SI Units ( Dm= 0.746150 m, + = 0.00001116 m/m-K, d,,, = 0.494308 m, = 0.00001 665 m/m-K) x - ilow Conditions !j= 255.37 K, Pf= 1.01325E+05 Pa, J , , ~= 932.26 kg/m3, p = 1.8650 Pa-s, :=-1.o, pb = 910.83 kg/m3 Cell lalue -d ?ln 2" Y r/= 293.15 K, Pf= 1.01325E+05Pa, >,*p= 907.60 kg/m3, p = 2.122UE-01 Pas, := -1.0, pb = 910.83 k g h CD n -d b 2, 1.31308E-01 78924E+02 9644OE-01 00000E+ûû 6.69662E-01 6.50267E-01 6.41314E-01 6.33857E-01 5.30686E-01 9.66225E+02 1.36427E+03 4.32402E+02 4.74734E-01 7.68306E-01 1.06082E+OO 1.49783E+OO l.OooOoE+OO 1.OOOOOE+OO l.OOOOOE+o(1 `,,```,,,,````-`-`,,`,,`,`,,` - Y [CD " i.30862E-01 6.17816E-01 rf= 353.15 K, P f = 1.01325E+05Pa, -d 9.04129E+02 1.28799E+03 1.54364E+03 33106E+O2 3.9 1063E+O2 3,,p = 868.43 kg/m3, p = 1.7490E-02 Pa-s, 7111 46137E-01 4.29348E-01 7.11276E-01 9.92643E-01 1.41408E+OO 1.69477E+OO C=-I.o, pb=910.83 kg/m3 2, l.OOOOOE+OO l.OOOOOE+OO 1.OOOOOE+OO 00000E+OO l.OOOOOE+OC Y 13 12 12 [(SD - I 6.03378E-01 6.05638E-01 6.04651E-01 6.04107E-01 6.03607E-01 i.08688E-01 rf= 288.71 K, Pl= 1.01325E+05 Pa, cd 1.37426E+02 4.10217E+02 6.82578E+02 9.54750E+02 1.36280E+03 1.63474E+03 ?,,p = 999.01 kg/m3, p = 1.1990E-03 Pa-s, ?Ili 1.37562E-01 4.10623E-01 6.83255E-01 9.55696E-01 1.36415E+ûû 1.63636E+OO ¿ = -1.0, pb = 999.01 kg/m3 V I.OOOOOE+OO 1.00000E+OO 1.OoooOE+oO l.OOOOOE+OO l.OOOOOE+OO 1.00000E+OO Y 12 1.2 12 12 iCD - ! 3.04985E-01~6.03326E-01 I 6.02772E-01 I 6.02463E-01~6.02177E-01 6.02045E-01 r/= 372.04 K, Pf= 1.01325E+05Pa, cd 1.33015E+02 3.97955E+02 6.62648E+02 9.27232E+02 1.32399E+03 1.58844E+03 g,,p = 941.75 kg/m3, p = 2.8250E-04 Pa-s, Ill, 1.33147E-01 3.98350E-01 6.63305E-01 9.28 151E-01 1.32530E+ûC 1,59OOIE+OO k = -1.0, pb = 999.01 kg/m3 Qv 1.00000E+íM l.OOOC€IE+OO l.OOOOOE+OO l.OOOOOE+OO 1.OOOOOE+o(1 1.00000E+00 Y 2 2 [CD L i.04963E-0I 6.03340E-01 6.02821E-01 6.02555E-01 6.02354E-01 6.02302E-01 r/= 255.37 K, Pf= 1.01325E+05Pa, L26907E+OO 1.84567E+Ol 2.97344E+Ol 3.95105E+OI 5.054OE+Ol 5.34644E+01 D ~ =, 2.1181 ~ kg/m3, p = 1.3070E-05 Pa-s, 3.36810E+Oo 9.91595E+OO 1.5975OE+Ol 2.12272E+OI 2.689 18E+01 2.8724 1E+O1 C = 1.3198, pb = 1.86131 k g h Qv 2.98OO3E-O1 9.82025E-01 9.5OO69E-O1 9.02 136E-O1 8.OO278E-O1 7.12400E-01 Y n o '> iCD I' I' I A IL 5.03924E-01 I 6.02654E-01 I 6.02229E-01 16.01993E-01 I 6.01777E-01 6.01680E-01 r/= 283.15 K, Pf= 6.89476E+05 Pa, ).62524E+OO 2.87497E+01 4.76638E+Ol 6.62446E+Ol 9.32097E+01 1.10393E+02 = 4.9831 kg/m3, p = 1.0670E-05 Pa-s, 4ni l.35917E+01 4.05972E+Ol 6.73055E+Ol 9.35433E+Ol 1.31621E+02 1.55885E+02 k = 1.3622, pb = 0.70817 kg/m3 Qv >.99716E-01 9.97440E-01 9.92890E-01 9.86064E-01 9.7 1560E-01 9.59047E-01 Y 2 2 ICD - 6.01663E-01 6.01766E-01 6.02657E-01 6.02229E-01 6.01989E-01 5.03929E-01 r/= 255.37 K.Pf=6.89476E+06 Pa, cd 1.39111E+02 4.16459E+02 6.93603E+02 9.70657E+02 1.38614E+O? 1.66308E+03 o,,~= 1042.35 kg/m3, p = 1.5430E-04 Pa-s 4nI 7.47383E+Ol 2.23745E+02 3.72642E+02 5.21491E+02 7.44712E+ 8.93501E+02 k=-l.O,pb= 1.86131 kg/m3 Qv I 00000E+OO 1.00000E+OO 1.OOOOOE+OO 1.OOOOOE+OO 1.OOOOOE+OC l.OOOOOE+OO Y 2 ICD 6.01578E-01 6.01410E-01 6.01333E-01 r/= 255.37 K, P f = 1.37895E+06 Pa, cd 1.70786E+02 2.42073E+O; 2.88547E+02 P,,~= 32.783 kg/m3, p = 1.3520E-05 Pa-s, %i 9.17560E+01 1.30055E+O; 1.55024E+02 k = 1.3198,pb= 1.86131 kg/m3 Q" 9.92809E-01 9.85324E-O1 9.78867E-01 Y m ICD L I' I' I' I' 6.01291E-01 5.02966E-01 I 6.02029E-01 I6.01711E-01 I 6.01533E-01 I6.01367E-01 Tf= 283.15 K, Pf= 3.44738E+06 Pa, cd 2.22194E+Ol 6.6525OE+Ol 1.10715E+02 1.54743E+02 2.20358E+O: 2.6373 1E+02 P,,~ = 26.627 kg/m3, p = 1.1310E-05 Pa-s, 9ni 3.13758E+01 9.39393E+Ol 1.56340E+02 2.18512E+02 3.11 166E+O; 3.724 12E+02 k = 1.3622,pb = 0.70817 kg/m3 Qv 9.99943E-01 9.99488E-01 9.98578E-01 9.97213E-01 9.94312E-03 9.9 1809E-01 Y 2 ICD 6.01251E-01 6.01488E-01 6.01326E-01 6.01663E-01 6.0 1974E-0 I 6.02888E-01 T/= 338.71 K, P f = 6.89476E+06 Pa, cd 2.86713E+Ol 8.58648E+Ol 1.42969E+02 1.99961E+02 2.85167E+3+0: 3.41728E+02 pf,p= 44.168 kg/m3 p = 1.3650E-05 Pa-s, 4ni 4.04865E+Ol í.2í249E+02 2.01885E+02 2.82363E+02 4.02681E+O: 4.8255 1E+02 k = 1.3622,pb = 0.70817 kg/m3 Qv 9.99972E-01 9.99744E-01 9.99289E-01 9.98606E-01 9.97156E-01 9.95904E-01 Y n L I'o I' ICD 6.02773E-01 6.01899E-01 6.01601E41 I 6.01433E-O1 I 6.01277E-O1 6.01205E-01 TI= 333.15 K, Pf= 1.37895E+07 Pa, cd 9.83457E+01 2.94612E+02 4.90775E+02 6.86894E+02 9.81023E+O: 1.17709E+Ol P,,~= 520.04 kg/m3, p = 4.1710E-05 Pa-s, 41n 5.28368E+Ol 1.58282E+02 2.63672E+02 3.69038E+02 5.2706OE+O: 6.32396E+02 k=-l.O,pb= 1.86131 kg/m3 Qv I.OOOOOE+OO l.OOOOOE+OO 1.00000E+OO 1.00000E+00 l.OOOOOE+O( 1.OOOOOE+OC Y ICD CI / 1 CI / Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS 109663.5 80569.1 " I Not for Resale I I I.57973E-01 !.31165E+03 !.53796E+OO OOOOOE+OO -3 t.28288E-01 8932OE+O3 !.07854E+OO oooOOE+OO I i.09082E-01 1.79916E+03 1.97529E+W I 00000E+ûO ! i03197E-01 1.90662E+03 1.90851E+OO I.OOOOOE+OO ! i.01940E-01 i.85285E+03 i 85469E+00 I.ooOOoE+OO i 5.02304E-01 5.32822E+01 2.86262E+Ol 5.08545E-01 5.01605E-01 1.2679OE+O2 I 79039E+02 3.44258E-01 5.01581E-01 1.94000E+03 1.04228E+03 1.00000E+OO 6.01273E-01 3.33980E+02 1.79433E+02 9.71236E-01 6.01230E-01 3.06738E+02 4.33141E+02 9.88852E-01 6.01191E-01 3.9805 1E+02 5.62084E+02 9.94425E-01 6.01148E-01 1.37314E+03 7.37725E+02 1.00000E+OO .- I I _ A P I MPMS*14.3.4 CHAPTER 14-NATURAL 134 92 m 0732290 050b420 429 m GAS FLUIDS MEASUREMENT Table 4-C-6-Selected Round Robin Test Results Matrix-SI Units = 0.00001116 m/m-K, d, = 0.036909 m, al = 0.00001665 m/m-K) ( Dm = 0.049262 m, Pa Flow Conditions TJ= 255.37 K, P,==3.01325E+05 Pa, pt.p= 932.26 kg/m3, p = 1.8650 Pa-s, k =-1.0, p/, = 910.83 kg/m7 T/= 293.15 K, PJ= 1.01325E+05 Pa, pr./ J = 907.60 kg/m7, p = 2.1220E-0 I Pa-s k = -1.0, pl, = 910.83 k g h ' ïj=353.15 K, Pl= 1.01325E+05 Pa, p/.p= 868.43 kg/m', p = 1.7490E-02 Pa-s, k = -1.0, p/, = 910.83 kg/m' 559.5 5035.6 4.00 107E+Oi 5.27568E+01 5.792 17E-0: 1.OOOOOE+Oi -6 3.82233E+Oi 2.3743 IE+Oi 2.60676E-0: I OOOOOE+O( -5 9.04948E-0 1,15599E+o( 1.26916E-O: I OOOOOE+Oi 2.63642E+Oi l.O4290E+O 1.14500E-0: I OOOOOE+Ct -6 1.30068E+Oi 5.08399E+Oi 5.58 I7 E-0: 1.00000E+Oi -5 6.891 13E-O 2.64086B+Oi 2.89940E-û: 1.OOOOOE+O( -4 6.22975E-0 2.55429E+Oi 2.55682E-O: 1.00000E+@ 6.13454E-01 2.44992E+O( 2.45235E-0: 1.00000E+O( ïj=288.7 I K,PJ= I O1 325E+05 Pa, p/,/, = 999.0 I kg/m3,p = I I990E-03 Pa-s, k = -1.0, p/, = 999.01 kg/m7 ïj=372.04 K, i'/= I O1 325E+05 Pa, pi,/,= 94 1.75 kg/m3,p = 2.8250E-04 Pa-s, k=-l.O,p,,=999.01 kg/m7 ïj=255.37 K, PI= 1.01325E+05Pa, p = 2.1 I8 kg/m7, p = I ,307OE-05 Pa-s, k = 1.3198,p6= 1.86131 kg/m7 T/= 283.15 K, P,==6.89476E+05 Pa, p = 4.983 I kg/m7,p = 1.0670E-05 Pa-s, k = i ,3622, p6 = 0.708 17 kglm' 6.36984E-O 8.70567E-0, 8.7 1430E-01 1.00OOOE+O( 6.20235E-O1 8.25659E-01 8.26477E-3-01 5.20084E-03 3.88876E-0; 2.08926E-O; 3.97824E-01 5.158 IOE-01 5.94099E-3-02 3.38921E-01 3.99690E-01 T/= 255.37 K, P,== 6.89476E+06 Pa, pt,p= 1042.35 kg/m', p = 1.5430E-04 Pa-s k = - l O , p b = 1.86131 kg/m3 lj= 255.37 K, P,== 1.37895E+06Pa, pt,,, = 32.783 kg/m3, p = 1.3520E-05 Pas, k = 1.3198,p6= 1.86131 kg/m3 ïj=283.15 K, P,== 3.44738E+06 Pa, = 26.627 kg/m3, p = 1.131OE-05 Pa-s, k = 1.3622, pi, = 0.70817 kg/m3 5.158 15E-01 3.58599E-01 t.6 1287E-Oi I OOO00E+O( 5.12304E-01 I.5 1376E-01 i 13274E-02 2.99840E-01 i l 1984E-01 I.365 12E-01 1.92767E-01 ).99938E-01 6.1346OE-01 i , I3404E-0 I 6.09268E-0; 9.80412E-û I IO76 1E-01 1.76332E-01 2.48996503 9.97211E-01 6.10758E-01 2.55467E+O( 1.37251E+O( 1.OOOOOE+O( 6.08545E-01 4.50765E-01 2.42 l76E-O1 9.98561501 6.08334501 4.06896E-01 5.74573501 9.99442E-01 13987.7 274 i 55950.8 2.1965 IE+OO 1.95699E+00 1.73948E+O( 1.44813E+OI 1.80631E+01 2.29364E+01 1.58990E-02 1.98315E-O2 2.51819E-0; 1.OOO00E+OO 1.00OOOE+00 1.00OOOE+O( -6 -5 -5 1.1301 IE+00 I.O3488E+OO 9.45055E-01 7.36212E+00 9.4385OE+OO 1.23132E+01 8.08287E-03 1.03625E-02 1.35186E- I 00000E+Cû 1.00000Et00 1.00000EtO( -4 -4 -4 6.66239E-01 6.55156E-O1 6.45902E-01 4.25532E+OO 5.85835E+OO 8.25085E+N 4.67192E-03 6.43188E-03 9.05861E-01 I OOOOOE+OO I 00000E+00 1.00000E+O( 6.10059E-01 5.68483B+OO 5.69046E-O3 I OOOOOE+00 6.08947E-01 8.10638E+oC 8.11441E-O3 I OOOOOE+OC 6.09649E-0 2.99773E-01 1.6lO55E-O1 7.82353E-01 6.07369E-01 5.67974E-01 8.02030E-O1 9.69006E-01 6.071 1OE-01 6.76121E-01 9.54744E-0 9.98450E-01 1.04169E+00 1.47432E+00 5.59652E-01 7.92090E-01 9.92164E-0 9.84007E-O1 2 6.06426E-01 6.05793E-01 9.44095E-O1 1.34303E+00 1.33315E+00 1.89648E+00 9.96963E-01 9.93801E-01 ) lj= 338.71 K, P f = 6.89476E+06 Pa, = 44.168 kg/m3, U = 1.3650E-05 Pa-s, k = 1.3622,p6=0.70817 kg/m3 i.11705E-01 1.76118E-01 !.48695E-01 3.99969E-01 i.11251E-01 i.03764E-01 1.24376E-01 OOOOOE+OO 6.08147E-01 5.25156E-01 7.41568E-01 9.99721E-01 6.07855E-01 1.80125E+00 9.6773 1E-01 1.OOOOOEtOC ! ! lj= 333.15 K, P,== 1.37895E+07Pa, pl,p = 520.04 kg/m3, p = 4.1710E-05 Pa-s, k=-l.0,p6= 1.86131 kg/m3 6.06283E-01 6.05663E-01 1.22009E+OO 1.73845E+00 1.72288E+00 2.45484E+Cû 9.98481E-01 9.96900E-01 2 6.06071E-01 6.05474E-01 4.19056E+00 5.98062E+00 2.25 140E+OO 3.21313E+OO l.OOOOOE+OO 1.OOOOOE+00 2 `,,```,,,,````-`-`,,`,,`,`,,` - Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS Not for Resale 109663.5 I 563658+00 2.88651E+Ol I69 I OE42 1.OOOOOE+00 -5 -5 9.0252 I E I 8.67928E-01 1.4 IO8E+O I 1.58316E+OI 1.54923E-0; 1.73815E-02 ~ O O E t O ( 1.OOOOOE+OO -4 -4 6.4 195380I 6.38957E-01 9.84049E+N I 14270E+01 1.08039E-02 I ,25457E-02 1.OOOOOE+O( I 000OOE+OO 3 6.136 I8E-01 6.12898E-01 1.00637E+03 I 17272E+01 1.00736E-02 1.17388E-02 1.OOOOOE+O( 1.00000E+00 2 6.08437E-01 6.08033E-01 9.7 195OE+O( I I33 19E+OI 9.729 13E-03 1.13431E-02 1.OOOOOE+O( 1.OOOOOE+OO 6.09487E-01 6.09568E-01 3.1561 IE-01 3.07558E-01 1.69564E-01 1.65237E-01 6.86588E-01 5.73411E-01 2 6.06999E-01 6.067 14E-01 6.71567E-01 7.699 16E-01 9.48313E-01 1.087 19E+OO 9.55369E-01 9.39252E-01 2 6.06910E-01 6.06597E-01 l.O1543E+Ol 1.18405E+Ol 5.45545E+00 6.36140E+00 1.00OOOE+ûC l.OOOOOE+OO 2 6.05653E-01 6.05423E-01 1.75569E+W 2.030 lOE+OO 9.43254E-01 1.09068E+00 9.7697 1E-01 9.68654E-01 2 5.05502E-01 6.05273E-01 1.60644E+00 1.86737E+m 2.26843E+00 2.63690E+00 3.91074E-01 9.87850E-01 5.05377E-01 6.05151E-01 2.08230E+00 2.42450E+00 2.94039B+OO 3.42362E+OO >.95536%01 3.93924E-0 2 5.05199E-01 5.04980E-01 7.17348E+00 3.36603E+OO 3.854OOE+OO $.49470E+00 i.OOOOOE+OO l,OOOOOE+OO 1.64096E+O( 2.59647EtO 2.85066E-O; 1.00000E+O( + 4.22857E+00 5.89859E+OO 8.3989 IE+oC 4.23276503 5.90443E-03 8.40724E-03 1.OOOOOE+OO I OOOOOE+O( 6.1 1266E-0 4.06862E+00 4.O7265E-03 1.00000E+00 80569 I A P I M P M S * L - - 92 0732290 O506423 365 SECTION 3-CONCENTRIC, SQUARE-EDGEDORIFICE METERS PART 4-BACKGROUND 135 Table 4-C-6Selected Round Robin Test Results Matrix-SI Units ( D, = 0.073670 m, % = 0.00001116 m/m-K, d, = 0.055166 m, al = 0.00001665 m/m-K) Cell dalue 55950.8 - Y 1.53657E+W 4.52392E+01 4.96681E-02 1.00000E+OC [CD -5 cd 4111 Qv _ Tf= 293.15 K, Pj= 1.01325E+05 Pa, pf,p= 907.60 kg/m3, p = 2.1220E-01 Pa-s, k=-1.0, pb=910.83kg/m3 ïj=353.15 K, Pf= 1.01325E+05 Pa, pf,p= 868.43 kg/m3, p = 1.7490E-02 Pas, k = -1.0, Pb = 910.83 kg/m3 T/= 288.71 K, Pf= 1.01325E+05Pa, pf,p= 999.01 kg/m3, p = 1.1990E-03 P a s , k=-I.o, &=999.01 kg/m3 T/= 372.04 K, Pf= I.O1325E+05Pa, pf,p= 941.75 kglm3, p = 2.8250E-04 Pa-s, k = -1.0, pb = 999.01 kg/m3 T/= 255.37 K, Pj= 1.01325E+05Pa, pf,,=2.1181 kg/m3,p= 1.3070E-05 Pa-s, k = 1.3198, pb= 1.86131 kg/m3 ïj=283.15 K, Pf= 6.89476EtO.í Pa, pf,p= 4.9831 kg/m3, p = 1.0670E-05 Pa-s, k = 1.3622, pb = 0.70817 kg/m3 ïj=255.37 K, Pf= 6.89476E+06 Pa, pf,p= 1042.35kg/m3, p = 1.5430E-04 Pa-s k=-1.0, pb= 1.86131 kg/m3 ïj=255.37 K, Pf= 1.37895E+06 Pa, pf,p= 32.783 kg/m3, p = 1.3520E-05 Pa-s, k = 1.3198, pb= 1.86131 kg/m3 T/= 285.15 K, Pf= 3.44738E+06 Pa, pf,p= 26.627 kg/m3, F = 1.1310E-05 Pa-s, k = 1.3622, pb=0.70817 kg/m3 T/= 338.71 K, Pf= 6.89476E+06 Pa, pf,p= 44.168 kg/m3, p = 1.3650E-05 Pa-s, k = 1.3622, pb = 0.70817 kg/m3 Tf= 333.15 K, Pj= 1.37895E+07Pa, pf,p= 520.04 kg/m3, p = 4.17iOE-05 Pa-s, k=-1.0, pb= 1.86131kg/m3 Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS I I - 1.60636E+Oo 1.165 15E+00 1.O 1822E+W 9.34395E-0 8.532 19E-01 8.13806E-01 7.81200E-01 4.67318E+00 1.01690E+01~1.481lOE+OI 1.90283E+Ol 2.48218E+Ol 4111 5.13068E-03 1.11645E-02 1.62610E-02 2.08912E-02 2.725 18E-02 Qv l.OOOOOE+00 1.000DOE+00 l.OOOOOE+OO l.OOOOOE+00 1.00OOOE+OC Y [CD -5 4 -4 -4 -4 8.16001E-01 6.68533E-01 6.50958E-01 6.42337E-01 6.35054E-01 cd 2.32744E+00 5.72052Et00 9.28353E+OO 1.28248E+Ol 1.81135E+OI 4nr 2.55529E-03 6.28056E-03 1.01924E-02 1.40804E-02 1.98868E-02 Qv Y l.OOOOOE+OO l.OOOOOE+OO l.OoooOE+OO 1.OOOOOE+OC 1.OOOOOE+OC iCD -4 3 6.16496-1 6.13002E-01 6.11115E-01 6.27946E-01 6.09400E-01 cd 1.91626E+ûO 5.64402E+OO 9.35335E+00 1.30544E+01 1.85968E+OI 2.22876E+OI 2.5976OE+Ol 4111 1.91816E-03 5.64961E-03 9.36262E-03 1.30673E-02 1.86152E-02 2.23097E-02 2.60017E-02 Q, Y 1.OOOOOE+00 1.00000E+00 I.OOOOOE+Cû l.OOOOOE+OC 1.00000E+OC 1.oooOOE+00 1.OOOOOE+00 2 ICD 2 -3 6.14197E-01 6.08468E-01 6.06599E-01 6.05564E-01 6.04609E-01 6.04170E-O1 6.03822E-01 cd 1.82562E+00 5.42582E+OO 9.01523E+00 1.25998E+01 1.79713E+Ol 2.15499E+O 2.5 127 1E+O 4111 1.82743E-03 5.43120E-03 9.02416E-03 1.26123E-02 1.7989 1E-02 I57 l3E-02 2.5 1520E-02 Qv Y I.OOOOOE+OO l.oooOOE+OO 1.00OOOE+oO I.OOOOOE+C€ l.o0000E+oC 1.00000E+00 l.O0000E+00 2 2 [CD 2 -2 6.14089E-01 6.08492E-01 6.06748E-01 6.05868E-01 6.0523 1E-0 6.05092E-01 6.05 161E-01 cd 8.59906E-02 2.51 165E-01 4.02588E-01 5.31731E-01 6.64582E-O1 6.99777E-01 6.82000E-01 4111 4.61990E-02 1.34940E-01 2.16293E-01 2.85676E-01 3.57051E-01 3.75959E-01 3.66409E-01 Qv Y 9.97825E-01 9.80421E-01 9.45614E-01 8.93403E-01 7.82454E-O 6.86734E-01 5.7361 1E-01 [CD L-, I’ I’ I‘ 2 6.10484E-01 I6.06181E-01 I 6.04760E-01 I 6.03976E-01 6.03264E-01 6.02945E-01 6.02699E-01 cd 1.31506E-01 3.90769E-01 6.46523E-01 8.97187E-01 1.25964E+OC 1.48952E+Gû 1.70778E+00 4nr 1.85698E-01 5.5 1801M1 9.12949E-01 1.26691E+W 1.77873E+oC 2.10334E+00 2.41 154E+00 Qv Y 9.99690E-01 9.97212E-01 9.92255E-01 9.84820E-01 9.69021E-01 9.55390E-O 9.3928 1E-0 ICD 2 2 2 6.10492E-01 6.06183E-01 6.04751E-01 6.03954E-01 6.03214E-01 6.02873E-01 6.02602E-01 cd 1.90055E+OO 5.66146E+00 9.41345E+00 1.31615E+01 1.8779OE+Ol 2.25221E+01 2.6264OE+Ol 4111 1.O2 108E+00 3.04165E+OO 5.05743E+OO 7.07 107E+OC 1.00892E+01 1.21001E+OI 1.41105E+OI Qv Y l.OOOOOE+OO l.OOOOOE+OO I.OOE+OO l.OOOOOE+OC 1.00000E+OC 1.00000E+00 1.00000E+00 2 2 ICD -2 6.07506E-01 6.04281E-01 6.03199E-01 6.02596E-01 6.02040E-01 cd 3.35349E-01 9.99439E-01 1.65848E+00 2.31062E+OC 3.27074E+OC 3.89520E+00 4.50425E+00 9111 1.80168E-01 5.36955E-0 8.9 1030E-O1 1.24 139E+OC 1.75723E+oC 2.09272E+00 2.41994E+00 Qv Y 9.99840E-01 9.98561E-01 9.96004E-01 9.92167E-01 9.84015E-01 9.76981E-01 9.68669E-01 ICD 2 2 2 6.07228E-01 6.04096E-01 6.03040E-01 6.0245 1E-01 6.0 1904E-O1 6.0 1652E-01 6.0 1453E-O1 cd 3.02441E-01 9.02205E-01 1.49956E+00 2.09420E+OC 2.97952E+OC 3.56413E+00 4.14327E+00 e 4.27074E-01 1.27399E+00 2.1 1751E+00 2.95720E+OC 4.20736E+OC 5.03287E+00 5.85067E+00 Qv Y 9.99938E-01 9.99442E-01 9.98451E-01 9.96964E-01 9.93804E-01 9.91078E-01 9.87856E-01 Ia3 2 6.06980E-01 6.01782E-01 6.03926E-01 6.02895E-01 6.02318E-01 6.01535E-01 6.0 l339E-01 cd 3.90206E-01 1.16445E+00 1.93647E+00 2.70646E+OC 3.85681E+OC 4.61994E+00 5.37946E+OO 4ni 5.51007E-01 1.64431E+OO 2.73448E+00 3.82176E+oC 5.44616E+OC 6.52377E+00 7.59628E+00 Qv Y 9.99969E-01 9.99721E-01 9.99225E-01 9.98482E-01 9.96901E-0 9.95538E-01 9.93926E-01 ICD 2 2 2 -2 6.06592E-01 6.03675E-01 6.02688E-01 6.02135E-01 6.01620E-01 6.01382E-01 6.01 193E-01 cd 1.33784E+OO 3.99424E+00 6.64617E+00 9.29610E+oC 1.32688E+0I 1.59162E+OI 1.8563IE+Ol %I 7.18760E-01 2.14593E+00 3.57070E+00 4.99439E+OC 7.12873E+N 8.55 109E+00 9.973 13E+00 Qv Y 1.00000E+OO l.O0000E+OO l.OOOOOE+OO 1.00000E+OC l.OOOOOE+O( l.O0000E+00 l.O0000E+00 ICD 2 cd - - Not for Resale -3 `,,```,,,,````-`-`,,`,,`,`,,` - How Conditions T/= 255.37 K, P f = 1.01325E+05 Pa, pf,p= 932.26 kg/m3, p = 1.8650 Pa-s, k = -1.0, pb = 910.83 kg/m3 136 CHAPTER 14-NATURAL GAS FLUIDS MEASUREMENT Table 4-C-6-Selected Round Robin Test Results Matrix-SI Units ( D, = 0.102270 m, g = 0.00001 116 m/m-K, d, = 0.076795 m, al = 0.00001 665 m/m-K) Cell Value Flow Conditions TI= 255.37 K, PJ= l.O1325E+O5 Pa, pf,/,= 932.26 kg/m3, p = 1.8650 Pa-s, k=-1.0, pl,=910.83 kg/m.’ G/ 9llI Pa I t 559.5 3.0606 1E+00 1.75067E+OI 1.92206E-02 1.OOOOOE+OO Qv Y ICD r/=293.15 K, PJ= l.O1325E+O5 Pa, 1.45976E+W Cd pf,p= 907.60 kglm’, p = 2.1220E-01 Pa-s, qlll 8.25062E+00 k = -1 O, p,, = 910.83 kg/m3 Q” 9.05835E-03 Y 1.00OOOE+00 ICD ?= 353.15 K, PJ= 1.01325E+05Pa, cd pI,+ = 868.43 kg/m’, p = I ,749OE-02 Pa-s, 41,r k = -1 O, p,, = 910.83 kg/m’ Q” 55950.8 80569.I 109663.5 1.55891E+OO 6.24191E+01 6.85299E-02 1.00000E+00 -5 8.60054E-01 3.40276E+OI 3.73589E-02 1.00000E+00 1.39865B+O( 8.OOO35E+O1 8.78359E-0; I 00000E+O( -5 7.8252 IE-01 4.42287E+Ol 4.85587E-0; 1.00000E+O( 1.32581E+O( 9.10044E+O 9.99 137E-0; I OOOOOE+O( -5 7.43997E-01 5.04615E+O 5.540 I7E-0; I OOOOOE+O( 1.26848E+@ O I 580E+O: 1.1 1525E-O 1.00000E+O( -5 7.1 1685E-01 5.63 149E+O 6.18282E-02 1.OOOOOE+O( -4 -4 -4 6.25158E-01 4.157 19E+O 4.564 18E-0; I OOOOOE+O( 6.05048E-01 4.3047OE+OI 4.30896E-0; 1.OOOOOE+O( 6.01075E-01 I6537E+OI 4.16950E-0; 1.00000E+O( 6.01919E-01 1.35097E+O( 7.25814E-01 6.85996E-01 6.23 134E-01 4.83435E+O 5.30763E-02 1.00000E+O( 6.04504E-01 5.01763E+0 5.02260E-0; OOOOOE+O( I 07087E+CK 1.81580E+01 1.99357E-02 1.00000E+O( ï j = 372.04 K, Pf= 1.01325E+05Pa, of,p= 941.75 kglm3, p = 2.8z50E-04 Pa-s, k = -1.0, p!, = 999.01 kg/m Tj= 255.37 K, Pj= 1.01325E+05Pa, o,,p = 2.1 181 kg/m3, p = I 3070E-05 P a s , G = 1.3198, p,,= 1.86131 kg/m3 c, 4111 6.04898E-01 1.04797E+Ol 3.049OlE-02 I.O0000E+M 6.04939E-01 4.85098E-O1 2.60622E-O1 9.80375E-01 ~ 7j= 283.15 K, P/= 6.89476E+05Pa, 3f,1>= 4.9831 kg/m3, p = 1.0670F-05 Pa-s, k = 1.3622, p,, = 0.70817 kg/m j = 255.37 K, P’= 6.89476E+06Pa, Cd ?f,p = 1042.35 kg/m3, p = 1.5430E-04 Pa-s 9, ¿=-l,O, ph= 1.86131 kg/rn3 Q” 1.37895E+06Pa, ?f,p = 32.783 kg/m3, p = 1.3520E-05 Pa-s, i = 1.3198, ph= 1.86131kg/rn3 rf= 283.15 K, Pf= 3.44738E+06Pa, >f,p = 26.627 kg/m3, p = 1.1310E-05 Pa-s, := 1.3622, ph = 0.70817 kg/m3 rf= 338.71 K, P/= 6.89476E+06 Pa, = 44.168 kg/m3, p = 1.3650E-05 Pa-s, := 1.3622, pb = 0.70817 k g h ’ ++ %=333.15 K, P’= 1.37895E+07Pa, + p = 520.04 kg/m3, p = 4.1710E-05 :=-1.0, p,,= 1.86131 kg/m3 Pa-s, 6.02883EGO1 7.55064E-01 1.06622E+00 9.97205E-01 3.66956E+00 I O93958+0l 1.97149C+W 5.87730EtOU Y O E + W 1.00000E+00 ICD 2 6.04065E-01 6.01 194E-O1 cd G.47836Ea I 1.9318 1E+OO %i 3.48054E-01 1.03788E+00 Qv Y J.99840E-01 9.98558E01 ICD - c, 5.03813C-O1 6.01024E-01 5.84289E-01 1.74392E+00 4111 Q” 5.25068E-01 2.46257E+00 3.999388-01 9.99441E-O1 Y ICD 2 5.035838-01 6.008628-01 Cd 7.538688-01 2.25087E+O 9111 Q“ I.O6453E+W 3.178438+W Y 1.99969E-01 9.99720841 ICD - 5.032408-O1 6.0064OE-0I Cd 2.58484E+00 7.721 16E+00 4111 I.38872E+00 4.14824E+OO Qv Y I.00000E+O0 l.OOOE+(X) ICD 2 ~ r/= 255.37 K, P’= i 6.023 18- 6.0 l467E-O I 1.74182E+01 2.43483E+01 3.47341E+03 1.74355E-02 2.43724E-02 3.47685E-02 1.00000E+00 1.00000E+O( I‘ I‘ 6.03392501 I 6.02609E-01 I 6.02043E-01 7.77728E-01 1.02722E+W 1.28353E+O( 4.17839E-01 5.51879E-01 6.89582E-01 9.45485E-01 8.9315 1E-01 7.8 194lE-01 2 2 6.0 1616E-01 6.009 17E-0 6.00280E-O 5.99995E-01 1.24954E+00 1.73419E+00 2.43500E+O( 2.87942B+CK 1.76446E+OO 2.44884E+00 3.43843E+O( 4.06600B+O( 9.92237E-O 9.84784E-O 9.68948E-0 9,55285501 2 12 12 6.01613E-01 I6.00901E-01 I6.00240E-01 5.99935E-01 3.63046E+01 4.35434E+OI 1.95049E+03 2.3394OE+OI 1.OOOOOE+OC 1.OOOOOE+O[ 2 5.99190E-01 5.98963E-01 6.32417E+OC 7.53178E+M 3.39770E+ûC 4.04649E+oC 9.83977E-01 9.76927E-01 2 ~ c 5.99553~~11 ~i ~ r i - 15.98838E-01 2.89908E+(K) 4.04908E+Oo 5.76132E+OC 6.89 198E+OC 4.093768tOO 5.71767E+00 8.13550D+ûC 9.73209E+oC 9.98447E-01 9.969578-01 9.93790E-01 9.9 1057E-01 2 2 5.9994 1E-0 5.99425E-O1 5,989458-0 5.98723E-01 3.743838+00 5.232948+00 7.457798+W 8.93377E+ûC 5.286628+00 7.389398+00 1.0531 18+01 1.26153E+01 3.99223B-01 9.98478E41 9.96894E-01 9.95527E-01 l /i 5.99757E-01 5.99262E-01 5.98800E-01 1.28497E+01 1.79747E+01 2.56583E+Ol 5.90356E+00 9.65700E+00 1.37851E+01 1.OOOOOE+00 l.OOOOOE+W l.OooOOE+00 `,,```,,,,````-`-`,,`,,`,`,,` - Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS 27415 6.41001E-01 6.33877E-01 6.27798E-01 1.77606E+OI 2.45885E+03 3.47895E+OI 1.94993E-02 2.69957E-02 3.81954E-01 1.00000E+00 1.00000E+00 I 00OOOE+O( 13 13 6.0891OE-O1 I6.07251E-01 16.05738E-01 2.52022E+OI 3.59 134E+O1 1.80686E-02 2.52272E-02 3.59490E-02 1.OOOOOE+OO 1.OOOOOE+O( Y Q, Y ICD 6.09944E-01 cd 3.52234E+M qlll Q” 3.52583E-03 Y 1.OOOOOE+OC ICD 6.09869E-01 cd 1.65916E-01 1 Q” 8.91394E-02 9.97819E-01 Y ICD 6.06696E-01 Cd 2.53908E-01 4ill Q” 3.58541E-01 9.99689E-01 Y ICD - I 13987.7 I 73496E+OO 4.96203E+OI 5.4478 1E-02 I 00000E+00 -5 9.3793 IE-01 2.65063E+Ol 2.91012E-02 I OoooOE+OO ICD - Tj= 288.7 I K, Pf= O1 325E+05 Pa, of,+= 999.01 kg/m3, p = I 1990E-03 Pa-s, k=-l.O, p,,=999.01 kglm’ I 5035.6 2.05802E+O( 3.53 I60E+OI 3.87734E-02 1.00000E+O( Not for Resale 5.98587E-01 3.07790E+OI 1.65362E+01 1.00000E+OO ‘ I 6.00764E-01 4.85709E+O 4.86190E-0: 1.00000E+O( 6.01983E-01 1.31574E+O( 7.06890E-01 5.72605E-01 5.99775E-03 3.30133E+O( 4.66178E+O( 9.39 137E-01 5.99693E-01 5.07802E+03 2.72819E+OI 1.OûûOûE+O( 5.98785E-01 8.70955E+0( 4.67926B+O( 9.68595E-01 5.98660E-01 8.01206E+O( 1.13137E+OI 9.87827E-01 5.98548E-01 1.04028E+01 1.46897E+OI 9.93912E-01 5.98417E-01 3.58987E+OI 1.92868E+01 l.OOOOOE+OC I A P I M P M S * * * 92 0732290 O506423 I138 SECTION &CONCENTRIC, SQUARE-EDGEDORIFICE METERS, PART 4-BACKGROUND 137 Table 4-C-&Selected Round Robin Test Results Matrix-SI Units ( Dm = 0.202729 m, a;! = 0.00001 116 m/m-K, d, = 0.1 52003 m, al = 0.00001665 m/m-K) Pa Cell Value ~~ Tf= 255.37 K, Pf= 1.01325E+05Pa, pl,p = 932.26 kg/m3, p = 1.8650 Pa-s, k = -1.0, pb = 910.83 kg/m3 cd q,,, Q, Y ICD Tf=293.15 K, Pf= 1.01325E+05Pa, pl,p = 907.60 kg/m3, p = 2.1220E-01 Pa-s, k=-1.0, pb=910.83 kg/m3 Cd q,,, Q, Y ICD Tf=353.15 K, Pf= l.O1325E+O5 Pa, Cd pl,p = 868.43 kg/m3, p = 1.7490E-02 Pa-s, q,,, k=-1.0, pb=910.83kg/m3 Q, Y ICD Tf= 288.71 K, Pf= 1.01325E+05Pa, pl,p= 999.01 kg/m3, p = 1.1990E-03 Pa-s, k = -1.0, pb = 999.01 kdm3 cd q,,l Q, Y ICD Tf= 372.04 K, Pf= 1.01325E+05 Pa, pCp= 941.75 kg/m3, p = 2.8250E-04 Pa-s, k=-1.0, pbr999.01 kg/m3 Tf= 255.37 K, Pf= 1.01325E+05 Pa, pf,P -2.1181 kg/m3,p= 1.3070E-05Pa-s, k = 1.3198, pb= 1.86131kg/m3 Tf= 283.15 K, P'= 6.89476E+05 Pa, = 4.983 kg/m3, p = I 0670E-05 Pas, Q, Y ICD CA e,, ICD Tf= 255.37 K, CA Pl= 6.89476E+06 Pa, Q, qm Q, Y ICD Tf= 255.37 K, Pj= I.37895E+06 Pa, pl,p= 32.783 kg/m3, p = 1.3520E-05 Pa-s, k = 1.3198, pb= 1.86131 kg/m3 Tf= 283.15 K, Pf= 3.44738E+06 Pa, pl,p= 26.627 kg/rn3, p = 1.1310E-05 Pa-s, k = 1.3622, &,= 0.70817 kg/m3 cd q,,, Q, Y ICD cd qI,, Q, Y ICD Tf= 338.71 K, Pf= 6.89476E+06 Pa, pl,p = 44.168 kg/m3, p = 1.3650E-05 Pa-s, k = 1.3622, pb = 0.70817 kg/m3 Cd qni Qv Y ICD T/= 333.15 K, Pf= 1.37895E+07Pa, pl,p= 520.04 kg/m3, p = 4.1710E-05 Pa-s, k=-1.0, pb=1.86131 k g h Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS 13987.7 5035.6 27415 55950.8 80569.1 109663.5 1.40824E+0(1 1.27622E+OC 1.15506E+OO 1.09942E+OO 1.05522E+OO 1.57573E+02 1.99922Et.02 2.58489E+02 2.95243E+02 3.30605E+02 1.72999E-O1 2.19494E-01 2.83795E-01 3.24148E-01 3.6297 IE-01 1.OOOOOE+o(1 1.OOOOOE+OC 1.OOOOOE+OO 1.OOOOOE+OO l.OOOOOE+Oa -5 -5 -4 -4 7.84949E-01 7.13885E-01 6.78543E-O1 6.69599E-O 6.62896E-O1 8.67873Etol I 10502E+02 lSOO45E+02 1.7768 1E+02 2.052 19E+02 9.52837E-02 1.2 1320E-O1 1.64735E-01 1.95076E-01 2.253 lOE-01 l.OOOOOE+OC l.M"IOE+OC 1.00000E+00 I.OOOOOE+OO l.OOOOOE+OC -3 3 -4 6.25047E-01 6.20204E-0 6.15992E-01 6.14137E-01 6.12702E-01 6.77559E+Ol 9.4 1233E+01 1.33549E+02 1.59776E+02 1.85969E+02 7.43891E-02 1.03338E-0 1.46623E-01 1.75418E-01 2.04176E-01 l.OOOOOE+C€ 1.OOOOOE+OC l.OOOOOE+OO 1.00000E+OO 1.00000E+00 6.02306E-01 6.01052E-01 5.999OOE-01 5.99373E-01 5.98957E-01 6.98547E+Ol 9.75929E+OI 1.39151E+02 1.66835E+02 1.94505E+02 6.99239E-02 9.76896E-02 1.39289E-01 1.67000E-01 1.94698E-01 l.OOOOOE+C€ 1.OOOOOE+OC 1.OoooOE+OO 1.OoooOE+OO l.OOOOOE+C€ 2 2 5.97963E-01 5.97253E-01 5.96595E-01 5.96291E-01 5.96051E-01 6.75497E+Ol 9.44573E+01 1.34790E+02 1.61666E+02 1.88534E+02 6.76166E-02 9.45509E-02 1.34924E-01 1.61826E-01 1.88721E-01 1.00000E+OC l.OOOOOE+O( l.OOOOOE+OO 1.00000E+00 1.ooOOOE+Oû 2 5.98111E-01 5.97508E-O1 5.97070E-0 5.96975E-O1 5.97023E-0 3.01633E+OC 3.98542E+OO 4.98189E+OO 5.24507E+OO 5.11007E+OC 1.62054E+OC 2.141 19E+OO 2.67655E+OO 2.81795E+OO 2.74541E+W 9.97822E-01 9.804OOE-01 9.45555E-01 8.93287E-01 7.82218E-01 6.86394E-01 5.73 148E-01 2 2 6.00631E-01 5.97712E-01 5.96734E-O 5.96193E-01 5.95698E-01 5.95477E-01 5.95306E-01 9.83447E-01 2.92874E+ûC 4.84899E+OC 6.73155E+OO 9.45420E+OO 1.1 1811E+OI 1.28208E+Ol 1.38872E+OO 4.13565E+ûC 6.84721E+oC 9.50555E+OO 1.33502E+Ol 1.57887E+O1 1.8 1041E+O1 Iz.99690E-01 z.97209E-01 9.92247E-01 9.84804E-01 9.68987E-01 9.55341E-01 9.39215E-01 2 2 6.00648E-01 5.97724E-01 5.96739E-01 5.96188E-01 5.95675E-01 5.95438E-01 5.95250E-01 1.42132E+OI 4.24324E+OI 7.06039E+01 9.87542E+Ol 1.40956E+02 1.69080E+02 1.97198E+02 7.63611E+00 2.27971E+Ol 3.79324E+Ol 5.30563E+Ol 7.57295E+01 9.08392E+O1 1.05946E+U2 1.00000E+OO 1.00000E+W 1.00000E+OC 1.OOOOOE+00 l.OOOOOE+OO 1.00000E+OO 1.00000E+C€ 2 5.98628E-01 5.96415E-01 5.95664E-O 5.95245E-01 5.94858E-01 5.9468 1E-0 5.94543E-0 2.51 175E+OO 7.49785E+ûC 1.24487E+01 1.73487E+Ol 2.4564OE+Ol 2.92572E+Ol 3.38348E+01 1.34945E+Oo 4.02826E+00 6.688 12E+OC 9.32069E+O( 1.31972E+01 1.57186E+01 1.8 1779E+01 9.99840E-01 9.98560E-01 9.95999E-01 9.921 59E-0 9.83997E-01 9.76956E-01 9.68635E-01 2 2 2 5.98428E-01 5.96275E-01 5.95543E-01 5.95 133E-01 5.94752E-01 5.94576E-01 5.94438E-01 2.26555E+OO 6.76891E+ûC 1.12564E+Ol 1.57247E+01 2.23782E+01 2.67722E+01 3.1 1253E+01 3.19916E+OO 9.55831E+C€ 1.58951E+01 2.22047E+01 3.16001E+Ol 3.78048E+01 4.395 18E+O1 9.99938Eol 9.99442E-01 9.98449E-01 9.9696 1E-0 9.93797E-01 9.91068E-01 9.87843E-01 2 2 2 5.98236E-01 5.96135E-01 5.95420E-01 5.95019E-01 5.94645E-01 5.94473E-01 5.94336E-01 2.92325E+OO 8.73688E+0(1 1.45367E+Ol 2.03226E+OI 2.8968OE+Ol 3.47039E+01 4.04130E+01 4.12790EtOO 1.23373E+Ol 2.05272E+Ol 2.86973E+OI 4.09055E+01 4.90051E+01 5.70668E+01 9.99969E-01 9.99721E-01 9.99224E-01 9.984805-01 9.96898E-01 9.95533E-01 9.93920E-01 2 2 2 5.97974E-01 5.95964E-01 5.95279E-01 5.94894E-01 5.94534E-01 5.94368E-O 5.94235E-O1 1.00245E+Ol 2.99726E+Ol 4.98968E+OI 6.98103E+Ol 9.96687E+Ol 1.19569E+02 1.39466E+02 5.38570E+OO 1.61030E+01 2.68074E+OI 3.75060E+Ol 5.35476E+01 6.42392E+Ol 7.4929OE+Ol 1.00000E+00 l.OOOOOE+OC l.OOOOOE+OC 1.00000E+O( 1.00000E+OO 1.00000E+OO 1.00000E+OC 2 2 2 2.39586E+OO 1.64930E+60 5.36161E+O 1.10728E+02 5.88651E-02 1.21569E-01 l.OOOOOE+OO l.OOOOOE+OO -6 -5 1.20140E+OO 8.98193E-01 2.65662E+Ol 5.95850E+01 2.9167OE-O2 6.54183E-02 1.00000E+00 l.OOOOOE+C€ 1-5 1-4 I6.70076E-01 16.34574E-01 1.45273E+Ol 4.12733E+OI 1.59495E-02 4.53139E-02 1.00000E+OO l.OOOOOE+Oo 3 6.11773E-01 6.04594E-01 1.41904E+Ol 4.20722E+Ol 1.42045502 4.21 139E-02 l.OOOOOE+OO 1.00000E+00 6.03062E-01 5.99236E-01 1.3625OE+O1 4.06 162E+O1 1.36385E-02 4.06565E-02 l.OOOOOE+OO l.ooOoOE+OC 12 12 I 6.03036E-01 I 5.99299E-01 ~1851E-011:,,,2E+00 3.44838E-01 1.01016E+OO gD1 Cd qia k = 1.3622, p b = 0.70817 kg/m3 = 1042.35kg/m3, p = 1.5430E-04 Pa+ k=-1.0, pb= 1.86131 kg/m3 559.5 cd q,,, Q, Y ICD I Not for Resale `,,```,,,,````-`-`,,`,,`,`,,` - Flow Conditions 138 CHAPTER 14-NATURAL GAS FLUIDS MEASUREMENT Table 4-C-6-Selected Round Robin Test Results Matrix-SI Units ( D, = 0.363513 m, q,= 0.00001116 m/m-K, d, = 0.272653 m, al = 0.00001 665 m/m-K) - Pj= 1.01325E+05Pa, GI p,,p = 932.26 kg/m3, p = 1.8650 Pa-s, k = - , pb=910.83 kg/m3 4111 Qv Y ICD - T/= 293.15 K, Pf= 1.01325E+05 Pa, 1.02805E+OO 7.69481501 6.84269501 6.67053501 6.52787501 pf,p= 907.60 kg/m3, p = 2.1220E-01 Pa-s 411, 7.31671E+01 1.64295E+02 2.43501E+02 3.32324E+02 4.64596E+O: k = -1.0 pb = 910.83 kg/m3 8.03302E-02 1.80379E-01 2.67339E-01 3.64858E-01 5.10079E-01 Qv Y I.OOOOOE+OO l.OOOOOE+OO 1.OOO00E+OO I O ~ E + O O1.OOOOOE+O( ICD -4 3 6.47068E-01 6.22607E-01 6.15779E-01 6.12237E-01 6.091I Tf= 353.15 K, Pf= 1.01325E+05 Pa, cd p,,p = 868.43 kg/m3, p = 1.7490E-02 Pa-s q111 4.5 1513E+O1 1.30335E+02 2.14841E+02 2.99048E+02 4.2503OE+O: 4.95716E-02 1.43094E-01 2.35874E-01 3.28325501 4.66641E-01 k = -1.0, pb = 910.83 kg/m3 Qv Y l.OOOOOE+OO I.OOOOOE+OO 1.00000E+00 1.00000E+00 1.000OOE+O( ICD T/= 288.71 K, Pf= 1.01325E+05Pa, 6.00408E-01 5.98610E-01 5.97616E-01 5.96701E-01 Cd p,,p= 999.01 kg/m3, p = 1.1990E-03 Pa-s 4111 4.52373E+01 1.34473E+02 2.23450E+02 3.12311E+02 4.45475E+O: 4.52821E-02 1.34607E-01 2.23672E-01 3.12621E-01 4.459 17E-01 k = -1.0, pb = 999.01 kg/m3 Qv Y I.OOOOOE+OO I.OO000E+OO l.OOOOOE+OO 1.00000E+OO 1.OOOOOE+O( IO 2 2 TJ=372.04 K, P f = 1.01325E+05Pa, 5.96154E-01 5.95135501 5.94565E-O1 5.94035E-O1 5.99188E-01 cd pf,p= 941.75 kg/m3, p = 2.8250504 Pa-s, 4,,, 4.35711E+01 1.30053E+02 2.16383E+02 3.02646E+02 4.31966E+O; k = -1.0, pb = 999.01 k g h 4.36143E-O2 1.30182E-0 2.16598E-O 3.0294650 4.32395E-O I Qv Y 1.00000E+OO l O ~ E + O OI.OOOOOE+OO 1.00000E+OO l,OooOOE+O( ICD 5.99192E-01 5.96227E-01 5.95277501 5.9479350 5.94441E-01 ïj=255.37 K, Pf= 1.01325E+05 Pa, cd 2.05265E+00 6.02052E+oC 9.66201E+OC 1.27685E+03 1.59624E+03 pbp= 2.1181 kg/m3, p = 1.3070E-05 Pa-s, 4111 k = 1.3198, pb= 1.86131 kg/m3 1.10280E+OO 3.23456E+oC 5.19097E+OC 6.85993E+M 8.57592E+0( Q" 9.97822E-01 9.80394E-01 9.45538E-01 8.93255501 7.82 15350 Y ICD 2 2 5.97284E-01 5.94951E-O1 5.94164E-01 5.93728E-01 5.93329E-01 ïj=283.15 K, Pf= 6.89476E+05Pa, Cd P,,~= 4.9831 kg/m3, p = 1.0670E-05 Pa-s, 4111 3.14762E+OO 9.38271E+OC 1.55394E+OI I576 IE+Ol 3.03074E+OI 4.44472E+OO 1.32492E+Ol 2.1943OE+Ol 3.04674E+Ol 4.27967E+OI k = 1.3622, pb = 0.70817 kg/m3 Qv 9.99690E-01 9.97208E-01 9.92244E-01 9.84799E-O 9.68978E-01 Y 2 ICD 2 ïj=255.37 K, Pf= 6.89476E+06Pa, 5.97302E-01 5.94966E-01 5.94174E-01 5.93729E-01 5.93315E-01 cd p,,p= 1042.35kg/m3, p = 1.5430E-04 Pa-r 4111 1.54909E+01 1.35940E+02 2.26265E+02 3.16533E+02 4.51875E+02 k=-1.0, pb= 1.86131 kg/m3 2.44402E+01 7.30347E+Ol 1.21562E+02 1.70059E+02 2.42772E+02 Qv 1.00000E+00 I.OOOOOE+ûû 1.OOOOOE+OO l.OOOOOE+OO 1.OOOOOE+OC Y ICD Tf=255.37 K, Pf= 1.37895E+06 Pa, 5.956918-01 5.939128-01 5.93306E-01 5.92967E-01 5.92654E-01 Cd P , , ~= 32.783 kg/m3, p = 1.3520F-05 Pa-s, 4111 5.04450E+3+00 2.403080+01 3.99078EtOl 5.562368+01 7.87668E+Ol k = 1.3198, pb= 1.86131 kg/m 1.321968+00 1.291078+01 2.144078+01 2.988418+01 4.23179E+01 Qv Y 9.998408-01 9.985598-01 9.959988431 9.92 1568-0 I 9.83993E-01 -I -I -I , l L L L L ICD - L ïj=283.15 K, PJ= 3.44738E+06 Pa, L955258-0 I 5.93794E-O 5.93203E-0 5.9287 I )1 5.92562B-0 Cd 7.256398+00 2.169531:+01 3.608698+01 5.041818+01 7.175998+01 p,,p = 26.627 kg/m3, p = 1.1310E-05 Pa-s, 4111 k = 1.3622, pb = 0.70817 kg/m3 1.024678+01 3.063588+01 5.095XOE+OI 7.1 1949E+OI 1.013318+02 Qv Y 1,999381:-01 9.99442E-01 9.98449E4l 9.969608-0 I 9.93796E-0 I ICD T/= 338.71 K, Pf=6.89476E+06 Pa, 5.95361E-01 5.93671501 cd ?.36339E+OO 2.80037E+OI p,,p = 44.168 kg/m3, p = 1.3650E-05 Pa-s, %li 1.32219E+Ol 3.95438E+Ol k = 1.3622, pb = 0.70817 kg/m QV L99969E-O 9.9972IE-0 Y ICD ? 12 (2 r f = 333.15 K, Pf= 1.37895E+07 Pa, j.95151E-0lI5.935338-O1 I5.929808-01I5.926688-O1 15,923768-01 p,,+ = 520.04 kg/m3, p = 4.1710E-05 Pa-s, 4111 1.59975E+02 2.23847E+02 3.19623E+02 8.59473E+Ol 1.20263E+02 1.7 l720E+02 k=-1.0, pb= 1.86131 kg/m3 Qv Y 1.00000E+00 00000E+OO I.OOOOOE+M) [CD 12 Cd i; ~~ c, Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS I? Not for Resale 80569.I 109663.5 9.44490501 8.16344E+0: 8.96264E-01 1.00000E+O( 9.07450E-01 9.1505 1E+02 1.00463E+OO 1.00000E+00 -4 -4 6.46757E-O I 5.52364E+O: 6.06441E-01 1.OOOOOE+O( 6.07719E-01 5.08870E+O: 5.58688E-03 1.00000E+O( 6.422 14E-O1 6.398988+02 7.02544E-01 I 00000E+OO 6.06635501 5.92624E+02 6.50641 E-01 1.00000E+00 5.95947E-01 6.22878E+02 6.23495E-01 1.OOOOOE+OO 5.93596501 6.04306E+02 6.04905E-01 5.96280E-01 5.34193E+O: 5.34723E-01 1.OOOOOE+O( 5.93790E-01 5.18 146E+O: 5.18660E-Ol 1.00000E+O( o m E + o o 5.94364E-01 5.94403E-01 1.68053E+Ol 1.6371IE+Ol 9.02876E+0( 8.79546E+ûû 6.86300E-01 5.73019E-01 2 5.93149E-01 5.9301 3.58457E+OI 4.1 Iû42E+01 5.06173E+OI 5.80429E+O1 9.55328501 9.39196E-03 2 5.93123E-O1 5.9297 1E-01 5.42075E+02 6.32258E+02 2.91233E+Oi 3,39684E+02 1.OOOOOE+OC l.OOOOOE+OO 2 5.925 10501 5.92398E-01 9.38209E+O1 1.08505E+02 5.04059E+OI 5.82947E+01 9.76949E-01 9.68626501 2 5.92420E-01 5.92308E-01 8.58546E+01 9.98 I87E+01 1.21235E+O2 1.40953E+02 9.9 1066E-01 9.87839E-01 2 5.92325E-01 5.922 14E-01 I , 11292E+02 1.29606E+02 1.57155E+02 1.830 16E+02 9.95532E-01 9.939 18E-0 I 2 5.9224 1E-0 5.92134E-01 3.8346 1E+02 4.47290E+02 2.060 I7E+02 2.40309E+02 1.OOOOOE+00 1.OOOOOE+OO 2 `,,```,,,,````-`-`,,`,,`,`,,` - Flow Conditions T/= 255.37 K, Pa Cell Value A P I MPMS*L4.3-4 92 m 0732290 0506425 TOO W SECTION 3-CONCENTRIC, SQUARE-EDGEDORIFICE METERS, PART 4-BACKGROUND Table 4-C-&Selected Round Robin Test Results Matrix-SI 139 Units ( Dm = 0.746150 m, a2= 0.00001116 m/m-K, d, = 0.559594 m, al = 0.00001665 m/m-K) - k=-1.0, pb=910.83kg/m3 r -d In1 2, Y [CD Tf=293.15 K, Pj= 1.01325E+05 Pa, pl,p= 907.60 kg/m3, p = 2.1220E-01 Pa-s, k = -1.0, pb = 910.83 kg/m3 G 7111 2, Y [CD - Tf= 353.15 K, Pf= 1.01325E+05Pa, prp = 868.43 kg/m3, p = 1.7490E-02 Pa-s, k=-1.0, pb=910.83 kg/m3 cd ?"I Qv Y Tf= 288.71 K, Pf= 1.01325E+05Pa, pl,p= 999.01 kg/m3, p = 1.1990E-03 Pa-s, k = -1.0, pb = 999.01 kg/m3 [CD cd li11 Qv Y [CD Tf=372.04 K, Pl= 1.01325E+05Pa, pl,p= 941.75 kg/m3, p = 2.8250E-04 Pa-s, k=-i.û, pb=999.01 kg/m3 cd Bi Qv Y 559.5 I 1.55368E+OO 4.7 1346E+02 5.17490E-01 l.ooOOOE+OO - -5 I I I I 55950.8 80569.1 1.12772E+OO 1.02637E+03 1.12685E+OO l.OOOOOE+OO 9.84428E-01 1.49326E+03 1.63944E+OO l.OOOOOE+OO 9.01873E-01 1.91524E+03 2.10274E+OO 1.00000E+OO 8.21 113E-01 2.49 105E+03 2.73493E+OO l.ooOOOE+OO 7.8 1570E-O1 2.84531E+03 3.12386E+00 I.OOOOOE+OO 7.48693E-0 3.17989E+03 3.49 120E+OO l.OOOOOE+OO d d' d' d -A d 5035.6 I 13987.7 I 27415 I ' I 109663.5 ' 8.52642E-O1 I6.73057E-OII6.51622E-O1 I6.41140E-01 I6.3233OE-O1 6.28554E-01 I 6.25684E-01 2.55595E+02 6.05290E+02 9.76685E+02 1.34536E+03 1.89554E+03 2.26106E+03 2.62586E+03 2.80618E-01 6.64547E-01 f.O7230E+OO 1.47707E+OO 2.081 llE+OO 2.48242E+OO 2.88293E+OO l.OOOOOE+OO l.OOOOOE+OO 1.00000E+OO l.OOOOOE+OO 1.00000E+W 1.00000E+OO 1.00000E+OO 3 3 -4 6.28736E-01 6.12914E-01 6.08275E-01 6.05815E-01 6.03609E-01 6.02616E-01 6.01838E-01 1.84788E+02 5.40419E+02 8.93878Et-O2 1.24637E+03 1.77404E+03 2.12535E+03 2.47637E+03 2.02879E-01 5.93325E-01 9.81389E-01 1.36839E+OO 1.94772E+Oû 2.33342E+OO 2.7 1881E+OO l.ooOOOE+OO l.OOOOOE+OO l.OOOOOE+OO l.OOOOOE+OO l ~ O E + O ol.OOOOOE+OO 1.OOOOOE+OO 2 6.01355E-01 5.97295E-01 5.95951E-01 5.95204E-0f 5.94512E-01 5.94193E-0 5.93940E-01 5.63461E+02 9.36986E+02 1.31014E+03 1.86945E+03 2.24213E+03 2.6 1471E+03 1.89282E-01 5.64019E-01 9.37915E-01 1.31143E+OO 1.87130E+W 2.24435E+OO 2.61730B+OO 1.OOOOOE+OO l.OOOOOE+OO l.OOOOOE+OO l.OoooOE+C€ l.OOOOOE+OO 1.00000E+OO 2 2 2 5.94080E-01 5.93304E-01 5.92869E-01 5.92463E-01 5.92275501 5.92126E-01 5.45872E+02 9.08596E+02 1.271 10E+03 1.81462E+03 2.17685E+03 2.53902E+03 1X2837E-0 5.46413E-01 9.09496E-01 1.27236E+OO 1.81641E+OG 2.17901E+OO 2.54153E+OO l.OOOOOE+OO l.OOOM)E+OO l.OOOOOE+OO l.OOOOOE+OO l.OOOOOE+W 1.00000E+00 I.OOOOOE+OO [CD - ='T 255.37 K, Pf= l.O1325E+O5 Pa, pl,p= 2.1 181 kg/m3,p = 1.3070E-05 Pa-s, k = 1.3198, p b = 1.86131 kg/m3 cd ?SI Qv Y LCD - Tf= 283.15 K, Pf= 6.89476E+05 Pa, = 4.9831 kg/m3, p = 1.0670E-05 Pa-s, k 1.3622, pb = 0.708 17 kg/m3 Tf= 255.37 K, Pf= 6.89476E+06 Pa, P,,~= 1042.35 kg/m3, p = 1.5430E-04 Pa-s k=-1.0, pb= 1.86131 kg/m3 Tf=255.37 K, Pf= 1.37895E+06Pa, pl,p= 32.783 kg/m3, p = 1.3520E-05 Pa-s, k = 1,3198, p b = 1.86131 kg/m3 Tf=283.15 K, Pj=3.44738E+O6 Pa, pl,p=26.627 kg/m3, p = 1.1310E-05 Pa-s, k = 1.3622, pb = 0.70817 kg/m3 Tf= 338.71 K, Pf=6.89476E+O6 Pa, P,,~ = 44.168 kg/m3, p = 1.3650E-05 Pa-s, k = 1.3622, pb = 0.70817 kg/m3 Tf= 333.15 K, Pf= 1.37895E+07Pa, pl,p= 520.04 kg/m3, p = 4.17 M Pa-s, k=-1.0, pb= 1.86131 kg/m3 O Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS cd 7111 Q" Y iCD - 5.96395E-01 5.93437E-01 5.93067E-01 5.92798E-01 4.05705E+Ol 5.36249E+Ol 6.70492E+01 2.17967E+Ol 2.88103E+01 3.60226E+Ol 9.45543E-01 8.93264E-01 7.82171E-01 2 5.93 182E-01 5.92581E-01 5.92246E-01 5.91940E-01 6.52771E+Ol 9.06511E+Ol 1.27355E+02 9.21772E+Ol 1.28008E+02 1.79837E+02 9.97208E-01 9.92245E-01 9.84800E-01 9.68980E-01 2 5.932OOE-0 5.92594E-O1 5.92253E-0 5.9 1935E-01 5.70876E+02 9.50485E+02 I 32991E+03 1.89886E+03 3.06707E+02 5.10654E+02 7.14504E+02 l.û2017E+O3 l.OOOOOE+OO l.OOOOOE+OO l.OOOOOE+OG 1.OOOOOE+OC 2 2 5.92393E-01 5.91928E-01 5.91667501 5.9 1426E-0 1.00958E+02 1.677OOE+02 2.33772E+02 3.31077E+02 5.42405E+01 9.00979E+01 1.25595E+02 1.77873E+02 9.98559E-01 9.95998E-01 9.92157E-01 9.83994E-01 2 2 5.92297E-01 5.91843E-01 5.91588E-01 5.91350E-01 9.1 1497E+01 1.51649E+02 2.11900E+02 3.01632E+IX 1.28712E+02 2.14141E+02 2.99222E+02 4.25932E+02 9.99442E-01 9.98449E-01 9.96960E-01 9.93796E-01 5.94974E-0 1.90859E+02 1.02540E+02 Qv Y l.OOOOOE+OO [CD - 5.93753E-01 cd 3.37729E+Ol 4ni 1.81447E+Ol Qv Y 9.99840E-01 ICD 5.93620E-01 cd 3.04659E+Ol 9,li 4.30207E+Ol Qv Y 9.99938E-01 ICD 5.93483E-01 5.92191E-01 cd 3.93139E+Ol 1.17657E+02 4rii 5.55 148E+O1 1.66142E+02 Qv 9.99969E-01 9.99721E-01 Y ICD - 5.93325E-01 5.92087E-01 cd 1.34839E+02 4.03677E+02 (In1 7.24431E+Ol 2.16878E+O2 Qv 1.00000E+OO I.OOOOOE+OO Y ICD cd 9m 5.91747E-01 1.95850E+02 2.7655 8E+02 9.99224E-01 5.91661E-01 6.72309E+02 3.61202E+02 l.OOOE+OC Not for Resale 5.91497E-01 2.73870E+02 3.86729E+02 9.98480E-01 5.9 1420E-O1 9.40851E+02 5.05478E+02 1.OOOOOE+OC 5.9 1263E-01 3.90468E+02 5.51376E+O: 9.96897E-01 5.91 196E-01 1.34356E+O: 7.21837E+O; l.OOOOOE+O( 5.92739E-01 7.05928E+01 3.79264E+O1 6.86327E-O1 5.92769E-01 6.87694E+01 3.69468E+O1 5.73056E-O1 1.50639E+02 1.72747E+02 2.12715E+02 2.43934E+02 9.55332E-0 9.39202E-O1 2 5.91787E-01 5.91670E-01 2.27806E+03 2.65721E+03 1.22390E+03 1.42760E+03 l.OOOOOE+M) l.OOOOOE+OO 2 5.9 1315E-0 5.9 1229E-O1 3.94375E+02 4.561 17E+02 2.11880E+02 2.45052E+02 9.7695 1E-01 9.68628E-01 2 5.91240E-01 5.91 153E-01 3.60897E+02 4.19614E+02 5.09619E+02 5.92534E+02 9.91066E-01 9.87840E-01 2 5.91155E-01 5.9 1070E-01 4.67835E+02 5.44844E+02 6.60625E+02 7.69368E+02 9.95532E-01 9.93919E-01 2 5.9 1092E-0 5.9 1OO9E-O1 1.61199E+03 1.88039E+03 8.66051E+02 1.01025E+03 1.OOOOOE+OO 1.OOOOOE+OO `,,```,,,,````-`-`,,`,,`,`,,` - How Conditions Tf= 255.37 K, Pf= 1.01325E+05 Pa, pl,p= 932.26 kg/m3, p = 1.8650 Pa-s, Pa Cell lalue `,,```,,,,````-`-`,,`,,`,`,,` - Order No 852-30354 1-1700-11/92-1.5M (5A) Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS Not for Resale `,,```,,,,````-`-`,,`,,`,`,,` - American Petroleum Institute 1220 L Street Northwest Copyright American Petroleum Institute Provided by IHS under license with API No reproduction or networking permitted without license from IHS Not for Resale