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Catalog No. L00340
Manual for the Determination Of Supercompressibility Factors For Natural Gas
Contract – NX-19
Prepared for the Pipeline Research Committee Of Pipeline Research Council International, Inc.
Prepared by the following Research Agencies: Ohio State University
Authors: R. H. Zimmerman
Publication Date: December, 1962
“This report is furnished to Pipeline Research Council International, Inc. (PRCI) under the terms of PRCI PR-198-808 between PRCI and Ohio State U. The contents of this report are published as received from PCRI. The opinions, findings, and conclusions expressed in the report are those of the authors and not necessarily those of PRCI, its member companies, or their representatives. Publication and dissemination of this report by PRCI should not be considered an endorsement by PRCI and Ohio State U., or the accuracy or validity of any opinions, findings, or conclusions expressed herein. In publishing this report, PRCI makes no warranty or representation, expressed or implied, with respect to the accuracy, completeness, usefulness, or fitness for purpose of the information contained herein, or that the use of any information, method, process, or apparatus disclosed in this report may not infringe on privately owned rights. PRCI assumes no liability with respect to the use of, or for damages resulting from the use of, any information, method, process, or apparatus disclosed in this report. The text of this publication, or any part thereof, may not be reproduced or transmitted in any form by any means, electronic or mechanical, including photocopying, recording, storage in an information retrieval system, or otherwise, without the prior, written approval of PRCI.”
Pipeline Research Council International Catalog No. L00340
Copyright, 1963 All Rights Reserved by Pipeline Research Council International, Inc.
PRCI Reports are Published by Technical Toolboxes, Inc. 3801 Kirby Drive, Suite 340 Houston, Texas 77098 Tel: 713-630-0505 Fax: 713-630-0560 Email: [email protected]
TABLE OF CONTENTS Page iv
Personnel . . . . . . . . . . . . . . . . . . . . . . . .
vi
Range and Applicability . . . . . . . . . . . . . . . .
vii
Preface .
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Determining Fpv Factors by Table . . . . . . . . . . . . . . .
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Table 1, Pressure Adjusting Factors, Fp . . . . . . . . . . . . .
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Introduction .
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Standard Method .
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Table 2, Temperature Adjusting Factors, FT
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Table 3, Supercompressibility Factors, Fpv
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115
Determining Fpv Factors By Equation . . . . . . . . . . .
397
Table 4, Parameter E Appendix .
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Alternate Methods .
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398
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401
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Table 5, Critical Pressures and Temperatures . Equations of Parameter E .
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Figure 1, Range of Applicability of Parameter E . Figure 2, Graph of Fpv Factors .
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PIPELINE RESEARCH COUNCIL INTERNATIONAL, INC. B. D. Goodrich N. B. Laubach, Chairman Texas Eastern Transmission Corp. Colorado Interstate Gas Company W. B. H G. P. Binder, Vice Chairman Northern Natural Gas Company The East Ohio Gas Company C. S. Kenworthy T. S. Bacon Natural Gas Pipeline Co. of America Lone Star Gas Company R. D. Morel S. A. Bergman Algonquin Gas Transmission Co. Panhandle Eastern Pipe Line Company H. A. Proctor O. W. Clark Southern California Gas Co. Southern Natural Gas Company H. L. Stowers B. J. Clarke Texas Gas Transmission Corp. Columbia Gas System Service Corp. J. L. Thompson M. V. Cousins Michigan Wisconsin Pipeline Co. United Gas Pipe Line Company T. L. Robey R. H. Crowe American Gas Association Transcontinental Gas Pipe Line Corp. T. E. Walsh J. F. Eichelmann American Gas Association El Paso Natural Gas Company S. J. Cunningham, Secretary J. L. Gere American Gas Association Cities Service Gas Company GAS MEASUREMENT COMMITTEE (OPERATING SECTION) 1956 - 1962 F. S. Fisher, Jr. American Louisiana Pipeline Company R. B. Fleske Cities Service Gas Company J. L. Griffin Northern Natural Gas Company W. A, Griffin Daniel Orifice Fitting Company W. R. Kane Algonquin Gas Transmission Co. H. L. Ketcham, Jr. Washington Gas Light Company W. F. Kienast Houston Texas Gas and Oil Corp. T. J. Kirkpatrick Panhandle Eastern Pipe Line Company R. R. McCafferty Pioneer Natural Gas Company H. B. McNichols Columbia Gas System Service Corp. P. H. Miller Texas Eastern Transmission Corp. J. V. Moore Daniel Orifice Fitting Company C. G. Moorhead Hope Natural Gas Company J. W. Murdock U. S. Naval Boiler & Turbine Laboratory
R. W. Davis, Chairman Columbia Gas System Service Corp. G. W. Swinney, Vice Chairman Phillips Petroleum Company E. N. Armstrong Transcontinental Gas Pipe Line Corp. Wilkin Bailey Colorado Interstate Gas Company H. S. Bean Consultant H. V. Beck American Meter Company D. C. Benson Texas Gas Transmission Corp. C. W. Brown Texas Gas Transmission Corp. E. J. Burgin Houston Texas Gas and Oil Corp. C. C. Copper Northern Natural Gas Company C. H. Duncan Natural Gas Pipeline Co. of America L. P. Emerson The Foxboro Company Gilbert Estill Oklahoma Natural Gas Company H. J. Evans Rockwell Manufacturing Company iv
GAS MEASUREMENT COMMITTEE (OPERATING SECTION) - Continued
A.G.A. SUPERVISING COMMITTEE FOR PAR PROJECT NX-19 1956 - 1960
NX-19 REPORT REVIEW SUBCOMMITTEE 1960 - 1962
NOTE: Many of the companies represented in the foregoing listings contributed to the success of the project through the contribution of test data and time of their employees, laboratory equipment, computers and printing facilities.
v
PREFACE This manual is based on the findings of PAR Research Project NX-19 initiated by the Pipeline Research Committee in 1956 upon the recommendation of the Gas Measurement Committee. The initial purpose was to extend the range of the A.G.A. Supercompressibility Factor Tables pub lished in 1955, 1956. However, a significant outcome of the project was that in addition to providing the basic data for extending the range, a base equation for calculation of supercompressibility factors was developed.
Upon completion of their assignment in April 1961, the research agency submitted reports containing the complete details of the source data analysis, development of mathematical expressions, general observations, and recommendations to A.G.A. Subsequently the NX-19 Report Review Subcommittee was assigned to review the agency’s reportings and from these prepare a practical and accurate extended range supercompressibility table applicable to existing procedures. Also they were to present the basic mathematical expression in a form suitable for industry wide electronic computer computation.
The research and development work required in the project was accomplished by Professor Richard H. Zimmerman and assistants at the Ohio State University serving as agency under the guidance of the Supervising Committee for Project NX-19.
This manual, which constitutes the final report of said Report Review Subcommittee, is the culmination of the efforts of all those associated with PAR Research Project NX-19.
vi
red with displacement type meters and storage volume calculations.
Range & Applicability Pressure, psig Temperature, °F Specific Gravity Carbon Dioxide mol % Nitrogen mol %
0 to -40 to 0.554 to 0 to 0 to
Formula for orifice meter flow calculation :
5000 240 1.000 15 15
Formula for displacement meter volume calculations :
While the F pv factors obtainable herein from Table 3 or from the Equation (page 397)) are to be used directly in gas measurement with orifice meters and in gas pipeline flow computation, the factor (Fpv)2 is applicable to gas volumes meas-
= cubic feet registered by meter
vii
INTRODUCTION The methods, tables and equation presented in this manual provide extended ranges of coverage, simplification of use and a broadening of the applicability of the supercompressibility factor determination procedures as published with A.G.A. Gas Measurement Committee Report No. 3*, “Orifice Metering of Natural Gas” 1955, 1956. The procedures offered are the same as or compatible with those of Report No. 3 and the same accuracy tolerances are maintained. In using this manual it must be borne in mind that it is intended to be a condensed factual working tool. General information concerning the theory of supercompressibility has been purposely omitted. The theory of supercompressibility may be found in the A.G.A. Gas Measurement Manual. The basic technique of determining a supercompressibility factor of natural gas by the A.G.A. method involves evaluation of its pseudocritical pressure and temperature. These pseudo
* Revised 1969
values are employed in the determination of pressure and temperature adjusting factors which are used to adjust the flowing gas pressure and temperature values to correspond to a pressure and temperature of the chosen standard 0.600 specific gravity hydrocarbon gas. With the adjusted pressures and temperatures the supercompressibility factors can be determined directly from the Fpv table or by applying the definitive equation. The most practical method of determining pressure and temperature adjusting factors for normal mixtures of natural gas is by application of the specific gravity relationship. Consequently, the specific gravity method is presented as the standard method. For less common natural gas mixtures up to 1.000 specific gravity alternate methods employing other relationships of natural gas are offered in the appendix. The table of Fpv factors and the supercompressibility equations presented are applicable regardless of the method employed to adjust the pressure and temperature of the flowing gas.
G = specific gravity of flowing gas M c = mol percent carbon dioxide
The standard method is applicable to natural gas that does not exceed 0.750 specific gravity and/or diluent contents of 15 mol percent carbon dioxide and/or 15 mol percent nitrogen. Consequently, this method is limited to natural gas mixtures that do not contain large concentrations of heavier hydrocarbons.
M n = mol percent nitrogen The adjusted absolute temperature is obtained by multiplying the absolute temperature of the flowing gas by the temperature adjusting factor Fr furnished in Table 2. The equation for the temperature adjusting factor is:
The specific gravity, and the carbon dioxide and nitrogen contents in conjunction with the gage pressure and absolute flowing temperature, are required to determine the adjusted pressures and temperatures.
FT
(3)
KT = M C + 1 . 6 8 1 M n
(4)
where :
The adjusted pressure is obtained by multiplying the gage pressure of the flowing gas by the pressure adjusting factor Fp furnished in Table 1. The equation for the pressure adjusting factor is: 156.47 F p = (1) 160.8 - 7.22G + Kp where: K p = Mc - 0.392 Mn
226.29 = 99.15 + 211.9G - KT
A simple calculation is required to establish constants Kp and KT using equations (2) and (4). After the adjusted pressures and temperatures are determined the supercompressibility factor Fpv can be found in Table 3 or determined by use of the supercompressibility equation on page 397.
(2)
NOTE: All tables in this manual can be interpolated.
and
2
Determining Fpv Factors by Table Table 1, Pressure Adjusting Factors Fp: The applicable pressure adjusting factor Fp is chosen from this table by using the appropriate values of specific gravity and the constant Kp. The adjusted pressure is obtained by multiplying the gage pressure Pf of the flowing gas by Fp. The Fp table has been so designed that any error in Fpv resulting from its use will be within acceptable tolerance without interpolating the FP values. Table 2, Temperature Adjusting Factors FT : The applicable temperature adjusting factor FT is chosen from this table using the appropriate values of specific gravity and the constant KT. The adjusted temperature is obtained by multiplying the absolute temperature Tf of the flowing gas by FT and subtracting 460. The FT table has been so designed that any error in Fpv resulting from its use will be within acceptable tolerance without interpolating the FT value.
The Kp and KT values can be calculated and recorded when the diluent content of a natural gas is determined. Such Kp and KT values can be applied until the diluent content is redetermined. At lower specific gravities in certain parts of the pressure and temperature adjusting factor tables, the Fp and FT values are omitted. This is where the stated magnitude of the diluents content make it impossible for such specific gravities to occur. Table 3, Supercomoressibility Factors F,,: After adjusting the pressure and temperature of the flowing gas the adjusted values can be used to obtain the Fpv factor directly from Table 3. To illustrate the procedure of determining the supercompressibility factor Fpv by use of tables in this volume the following examples are given:
EXAMPLE 1 Conditions : = = = = =
Specific gravity Carbon dioxide content (Mc) Nitrogen content (Mn) Gage pressure (Pf) Flowing temperature (tf) Calculate Kp and KT Kp = Mc - 0.392 Mn = 0 - 0.392 (0) = 0 K T = Mc + 1.681 Mn = 0 + 1.681 (0) = 0
0.573 0 mol percent 0 mol percent 683 psig 12F
From Tables 1 and 2 find pressure and temperature adjusting factors Fp and FT for : Specific gravity = 0.573 =0 K p = 0 K T By direct table-look-up : Page 12 Fp = 0.9988 Page 31 = 1.0259 F T Calculate the adjusted pressure and temperature : Adjusted pressure =PfFp = 683 (0.9988) = 682 psig = TfFT- 460 Adjusted temperature = (12 + 460) 1.0259 - 460 = 484.2- 460 = 24.2F From Table 3 find Fpv factor for: Adjusted pressure = 682 psig =24.2F Adjusted temperature Page 151 = 1.0767 Fpv (without interpolation) = 1.0768 Fpv (with interpolation)
3
EXAMPLE 2 Conditions : = 0.731 = 2.75 mol percent = 8.18 mol percent = 1344 psig = 87 F
Specific gravity Carbon dioxide content (Mc) Nitrogen content (Mn) Gage pressure (Pf) Flowing temperature (tf) Callulate Kp and KT K p = M c - 0 . 3 9 2 Mn = 2.75 - 0.392 (8.18) = 2.75 - 3.21 =-0.46 K T = Mc + 1.681 Mn = 2.75 + 1.681 (8.18) = 2.75 + 13.751 = 16.501
From Tables 1 and 2 find pressure and temperature adjusting factors Fp and FT for: = 0.731 Specific gravity =-0.46 K p = 16.501 KT By direct table lookup: F p Fr
= 1.0093 = 0.9530
Page 12 Page 102
Calculate the adjusted pressure and temperature : Adjusted pressure
=PfFp = 1344 (1.0093) = 1356 psi
Adjusted temperature
=TfFT-460 = (87 + 460) 0.9530 - 460 = 521.3 - 460 = 61.3 F
From Table 3 find Fpv factor for: Adjusted pressure Adjusted temperature Fpv (without interpolation) Fpv (with interpolation)
= 1356 psig = 61.3F = 1.1126 =1.1120
4
Page 183
TABLE 1 PRESSURE ADJUSTING FACTORS FP All tables in this manual can be interpolated
At lower specific gravities in certain parts of the pressure adjusting factor tables, Fp values are omitted. This is where the stated magnitude of the diluents content make it impossible for such specific gravities to occur.
5
TABLE 1 PRESSURE ADJUSTING FACTORS
FP
7
8
TABLE 1 PRESSURE ADJUSTING FACTORS F P
TABLE 1 PRESSURE ADJUSTING FACTORS
9 Fp
10
TABLE 1 PRESSURE ADJUSTING FACTORS F p
TABLE 1 PRESSURE ADJUSTING FACTORS
11 F
P
12
TABLE 1 PRESSURE ADJUSTING FACTORS FP
TABLE 1 PRESSURE ADJUSTING FACTORS
13 FP
14
TABLE 1 PRESSURE ADJUSTING FACTORS
FP
TABLE 1 PRESSURE ADJUSTING FACTORS F P
15
16
TABLE 1 PRESSURE ADJUSTING FACTORS F P
TABLE 1 PRESSURE ADJUSTING FACTORS
17 F P
18
TABLE 1 PRESSURE ADJUSTING FACTORS
F P
TABLE 1 PRESSURE ADJUSTING FACTORS F
19 P
20
TABLE 1 PRESSURE ADJUSTING FACTORS
F P
TABLE 1 PRESSURE ADJUSTING FACTORS F P
21
22
TABLE 1 PRESSURE ADJUSTING FACTORS FP
TABLE 1 PRESSURE ADJUSTING FACTORS
23 Fp
24
TABLE 1 PRESSURE ADJUSTING FACTORS F p
TABLE 1 PRESSURE ADJUSTING FACTORS F p
25
26
TABLE 1 PRESSURE ADJUSTING FACTORS
Fp
TABLE 1 PRESSURE ADJUSTING FACTORS
27 Fp
TABLE 2 TEMPERATURE ADJUSTING FACTORS FT All tables in this manual can be interpolated
At lower specific gravities in certain parts of the temperature adjusting factor tables, FT values are omitted. This is where the stated magnitude of the diluents content make it impossible for such specific gravities to occur.
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
31
32
TABLE 2 TEMPERATURE ADJUSTING FACTORS FT
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
33
34
TABLE 2 TEMPERATURE ADJUSTING FACTORS FT
TABLE 2 TEMPERATURE ADJUSTING FACTORS
FT
35
36
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
TABLE 2 TEMPERATURE ADJUSTING FACTORS
37 FT
38
TABLE 2 TEMPERATURE ADJUSTING FACTORS
FT
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
39
40
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
41 T A B L E
2
TEMPERATURE ADJUSTING FACTORS FT
42
TABLE 2 TEMPERATURE ADJUSTING FACTORS
FT
TABLE 2 TEMPERATURE ADJUSTING FACTORS F
43 T
44
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
45 TABLE 2 TEMPERATURE ADJUSTING FACTORS
FT
46
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
47
48
TABLE 2 TEMPERATURE ADJUSTING FACTORS FT
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
49
50
TABLE 2 TEMPERATURE ADJUSTING FACTORS FT
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
51
52
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
53
54
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
55
56
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
TABLE 2 TEMPERATURE ADJUSTING FACTORS FT
57
58
TABLE 2 TEMPERATURE ADJUSTING FACTORS FT
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
59
60
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
61
62
TABLE 2 TEMPERATURE ADJUSTING FACTORS FT
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
63
64
TABLE 2 TEMPERATURE ADJUSTING FACTORS FT
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
65
66
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
67
68
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
TABLE 2 TEMPERATURE ADJUSTING FACTORS FT
69
70
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
71
72
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
73
74
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
75
76
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
77
TABLE 2 78
TEMPERATURE ADJUSTING FACTORS F T
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
79
80 T A B L E
2
TEMPERATURE ADJUSTING FACTORS FT
TABLE 2 TEMPERATURE ADJUSTING FACTORS FT
81
82
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
TABLE 2 TEMPERATURE ADJUSTING FACTORS
83
84
TABLE 2 TEMPERATURE ADJUSTING FACTORS
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
85
86
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
87
88
TABLE 2 TEMPERATURE ADJUSTlNG FACTORS
FT
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
89
90
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
TABLE 2 TEMPERATURE ADJUSTING FACTORS
91 FT
92
TABLE 2 TEMPERATURE ADJUSTING FACTORS
FT
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
93
94
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
95
96
TABLE 2 TEMPERATURE ADJUSTING FACTORS
FT
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
97
TABLE 2 98
TEMPERATURE ADJUSTING FACTORS
FT
TABLE 2 TEMPERATURE ADJUSTING FACTORS
FT
99
100
TABLE 2 TEMPERATURE ADJUSTING FACTORS
TABLE 2 TEMPERATURE ADJUSTING FACTORS
101
102
TABLE 2 TEMPERATURE ADJUSTING FACTORS FT
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
103
104
TABLE 2 TEMPERATURE ADJUSTING FACTORS
TABLE 2 TEMPERATURE ADJUSTING FACTORS
105
106
TABLE 2 TEMPERATURE ADJUSTING FACTORS
FT
TABLE 2 TEMPERATURE ADJUSTING FACTORS
107 FT
108
TABLE 2 TEMPERATURE ADJUSTING FACTORS F T
109 TABLE 2 TEMPERATURE ADJUSTING FACTORS FT
110
TABLE 2 TEMPERATURE ADJUSTING FACTORS
TABLE
2
TEMPERATURE ADJUSTING FACTORS F T
111
112
TABLE 2 TEMPERATURE ADJUSTING FACTORS
FT
TABLE 2 TEMPERATURE ADJUSTING FACTORS
113 FT
114
TABLE 2 TEMPERATURE ADJUSTING FACTORS
FT
TABLE 3 SUPERCOMPRESSIBILITY
FACTORS
BASE DATA - 0 . 6 0 0 S P E C I F I C G R A V I T Y HYDROCARBON GAS All tables in this manual can be interpolated
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117 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
118 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F
PV (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
119 T A B L E 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS) .
120 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F
PV (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
121 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
122 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
123 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
124 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
125 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
126 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
127 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
128 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F p v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
129 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
130 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
131 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
132 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
133 TABLE 3 SUPERCOMPRESSIBlLITY FACTORS F (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
134 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
135 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
136 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
137 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
138 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
139 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
140 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
141 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
142 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
143 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
144 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
145 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
146 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = O.6 SPECIFIC GRAVITY HYDROCARBON GAS)
147 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
148 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
149 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
150 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F p v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
151 TABLE 3 SUPERCOMPRESSlBlLlTY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
152 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
153 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
154 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F p v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
155 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
156 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
157 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
158 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
159 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
160 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
161 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
162 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
163 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
164 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F p v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
165 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
166 T A B L E 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
167 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
168 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
169 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
170 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
171 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
172 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
173 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
174 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
175 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
176 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F p v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
177 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
178 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
179 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F p v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
180 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
181 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
182 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
183 TABLE 3 SUPERCOMPRESSlBlLlTY FACTORS F pv (EASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
184 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
185 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
186 TABLE 3 SUPERCOMPRESSlBlLlTY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
187 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
188 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
189 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
190 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
191 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
192 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F p v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
193 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F
Pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
194 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
195 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
196 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
197 TABLE 3 SUPERCOMPRESSlBlLlTY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
198 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F Pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
199 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
200 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
201 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
202 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
203 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
204 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
205 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F
pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
206 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
207 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
208 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
209 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
210 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = O.6 SPECIFIC GRAVITY HYDROCARBON GAS)
211 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
212 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPEClFIC GRAVITY HYDROCARBON GAS)
213 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
214 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
215 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F p v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
216 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
217 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
218 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
219 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
220 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
221 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
222 TABLE 3 SUPERCOMPRESSlBlLlTY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
223 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
224 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
225 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
226 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
227 TABLE 3 SUPERCOMPRESSlBlLlTY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
228 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
229 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
230 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
231 TABLE 3 SUPERCOMPRESSlBlLlTY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
232 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA -= 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
233 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
234 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
235 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
236 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
237 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
238 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
239 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
240 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
241 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
242 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
243 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
244 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F p v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
245 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
246 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
247 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F p v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
248 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
249 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
250 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
251 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
252 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
253 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
254 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
255 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
256 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCPARBON GAS)
257 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
259 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
260 TABLE 3 SUPERCOMPRESSlBILlTY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
261 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
262 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
263 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
264 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F
pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
265 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F
pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
266 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
267 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
268 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
269 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F
pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
270 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
271 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F p v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
272 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
273 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F
pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
274 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
275 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
276 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
277 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
278 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
279 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
280 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
281 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
282 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
283 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F p v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
284 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
285 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F
pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
286 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F
pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
287 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
288 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
289 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F
pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
290 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
291 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
292 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
293 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
294 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
295 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
296 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
297 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
298 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
299 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
300 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
301 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
302 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
303 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
304 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
305 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
307 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
308 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F
pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
309 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
310 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F p v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
311 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
312 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
313 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
314 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
315 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
316 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
317 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
318 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
319 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
320 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
321 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
322 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
323 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
324 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
325 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
326 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
327 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
328 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
329 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
330 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
331 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
332 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
333 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
334 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F p v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
335 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
336 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
337 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
338 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
339 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
340 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F p v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
341 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
342 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
343 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F p v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
344 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
345 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
346 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F p v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
347 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
348 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F p v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
349 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
350 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
351 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
352 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
353 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
354 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
355 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
356 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
357 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
358 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
359 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
360 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
361 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
362 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
363 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
364 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
365 T A B L E 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
366 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
367 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
368 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fp v (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
369 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
370 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
371 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
372 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
373 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
374 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
375 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
376 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
377 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
378 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
379 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
380 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
381 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
382 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
383 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
384 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
385 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
386 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
387 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
388 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
389 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
390 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
391 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
392 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
393 TABLE 3 SUPERCOMPRESSIBILITY FACTORS F pv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
394 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
395 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
396 TABLE 3 SUPERCOMPRESSIBILITY FACTORS Fpv (BASE DATA = 0.6 SPECIFIC GRAVITY HYDROCARBON GAS)
Determining Fpv Factors by Equation The base equation for determining the Fpv Factor is expressed as:
(5) where : (6) (7) (8) (9) (10) (11) (12)
(13) (14) E = as linearly interpolated from Table 4 The equations used for developing Table 4 for Parameter E values are given in the Appendix.
397
TABLE 4 PARAMETER E TO BE USED IN A.G.A. SUPERCOMPRESSIBILITY FACTOR EQUATION
398
TABLE 4 PARAMETER E TO BE USED IN A.G.A. SUPERCOMPRESSIBILITY FACTOR EQUATION
399
TABLE 4 PARAMETER E TO BE USED IN A.G.A. SUPERCOMPRESSIBILITY FACTOR EQUATION Adjusted Temperature °F.
400
A P P E N D I X The temperature adjusting factor FT is:
Alternate Methods The system of determining Fpv Factors presented in the body of this manual is the standard method based on adjusting pressures and temperatures using the specific gravity relationship of gas. Alternate methods are presented below which in special cases are more applicable. These methods are based on molal analysis, methane content and heating value relationships of gas for the determination of adjusting factors Fp and FT. The Table of Supercompressibility Factors is applicable regardless of which method of adjustment is Used.
(18) where : Tc is defined by equation (17) The critical pressures and temperatures of the component gases of natural gas are shown in Table 5. Methane-Gravity Method: The methane-gravity method is especially applicable where a natural gas has a specific gravity higher than 0.750 due to the heavier hydrocarbon components. This method requires only the methane content of the gas in addition to the five variables required in the standard method. The equations for the determination of the pseudocritical pressure and temperature are:
Analysis Method: This method of adjusting pressures and temperatures provides the most precise results over a comparatively wide range of natural gas composition. A complete fractional analysis of the flowing gas is required. The analysis method is the method most applicable when a natural gas has a specific gravity higher than 0.750. It is the best method when appreciable percentages of components as hydrogen sulphide, oxygen and helium occur in the gas. The pseudocritical pressure of a natural gas mixture can be defined as the sum of the products of the mol fraction and the critical pressure of each component gas:
where : = specific gravity of the natural gas
(15)
= mol fraction carbon dioxide
where : P c = pseudocritical pressure of the gas mixture
= mol fraction nitrogen
= critical pressure of any component gas
= mol fraction methane
= mol fraction of the respective component gas The pressure adjusting factor Fp is :
The pressure and temperature adjusting Factors Fp and FT are determined by equations (16) and (18) respectively with Pc and Tc defined by equations (19) and (20) respectively.
(16) where :
Heating Value Method: This method is inherently the same as the Standard Method since an exact linear relationship exists between the heating value and the specific gravity of the hydrocarbon components of a natural gas. Any difference between the two methods can be attributed to normal uncertainties in determining specific gravity, heating value and diluent content of gas. This method is limited to natural gases of specific gravity less than 0.750. 401
The pressure and temperature adjusting factors Fp and FT are determined by equations (16) and (18) respectively with Pc and Tc defined by equations (21) and (22) respectively.
The equations for the determination of the pseudocritical pressure and temperatures are :
Actual Test Method: Be ore extending the use of these data and methods beyond the recommended range of conditions, their applicability to any such extended condition should first be properly verified by actual test.
where :
T A B L E
402
5
Equations of Parameter E The base equation on page 397 using the E values from Table 4 was employed to generate Table 3 Supercompressibility Factors Fpv through the full range of pressure and temperature. The base equation differs in eight range groups due to the variation of the parameter E. Parameter E appears in equation (14) which is a definitive relation of the base equation. The following are the equations of E based on the respective ranges of applicability for pressure and temperature as indicated in Figure 1 on page 405.
NOTE: w and T are defined on page 397. The Napierian constant e was carried to eight significant digits 2.7182818 in developing the table of E constants. The computer program used a floating decimal system. * I n e q u a t i o n s 2 7 - 2 9 i f t h e v a l u e o f rr i s i n e x c e s s o f 2 . 0 , t h e n u s e 2 . 0 . However, in equations 31 and 36 use the actual value of w as computed from equation 9 on Page 397. 403
The selection of the most suitable system for determining the supercompressibility factor Fpv by the computer method will ultimately depend upon the pressure and temperature ranges of the flowing gas and the capabilities of the electronic data processing equipment available to the user.
For ordinary use the system analyst by examining the equation can easily see ways of implementing them on almost any computer. Three systems are available for programming the parameter E in the equation for computer calculation : 1. Parameter E selected from Table 4.
Figure 2 on page 407 shows a graphic representation of the F pv factors at four temperatures taken directly from the Table of Supercompressibility Factors. These values are for the 0.600 specific gravity hydrocarbon natural gas.
2. Parameter E computed directly from equations. 3. Selective use of equations and tables of Parameter E.
404
RANGE OF APPLICABILITY OF THE PARAMETER E
407