2009
CHARACTERIZATION OF A NATURAL GAS MIXTURE
JOHN JADER MORALES ROJAS, 2006263076 UNIVERSIDAD SURCOLOMBIANA 01/12/2009
CONTENTS
1. BACKGROUND ................................................................................................. 3 2. PROGRAM HELP ............................................................................................. 4 3. INPUTDATA ...................................................................................................... 5 4. OUTPUTDATA .................................................................................................. 6 ATTACHMENTS ...................................................................................................... 7
2
1. BACKGROUND
The calculations based on formulas of natural gas properties with or without contaminants is a tedious work because of no small amount of complex correlations used to the predictions. Such is the difficulty, which urges that a computer performs such calculations. However, it is recalled that even after the programming, the person continues with the human task of reasoning about the correct input data and understanding of the output data. Specifically, the author of this document is relaunching the first resolution regarding calculations and graphs of a problem concerned with characterization of a sample of gas no condensate with MATLAB software written by him. The user will feel part of the argument that justifies this statement: "MATLAB is a program of art with immense possibilities and mathematical techniques”. Almost all correlations used are named in the output data. They were drawn from the following books: a) Propiedades Físicas de los Fluidos de Yacimientos de Ricardo Parra Pinzón, b) Correlaciones Numéricas P.V.T. de Carlos Bánzer S. The first was printed on paper and the second was digital available for free on the web. Even JOHN MR built your own method for finding the isothermal compressibility Cg using the ingenuity and mathematical tools of MATLAB. The author hopes that this work will be of immense help to the student community of Petroleum Engineering.
3
2. PROGRAM HELP
%SYNTAX: %The following is the function: %natgasphysprop_main(components,compositions,tempinterv,pressinterv,answ,sel); %PARAMETERS: %- components is a cell array containing components´ names, f.e.: %components={'N2', 'CH4'}. % - compositions is a numeric vector containing components´ compositions, f.e.: %compositions=([0.50,0.50])'. %weightcomponent is a vector cell array containing weight component´ characterization in %in order: {'name', molarfraction, molweight,specificgravity}, f.e.: %weightcomponent={'C7+',0.01,50,1.5}. %-tempinterv is a row numeric array containing value of temperature (ºF) to be %dealed during calculations, f.e.:temp=80. %-pressinterv is a row numeric array containing interval of pressure (psia) to be %dealed during calculations, f.e.:pressrange=100:5:500. %-answ is a choosing number. Type: answ=0 if there isn´t any plus %component, answ=1 if there exists some plus component. %-sel is a choosing number. Type: sel=1 if gas is natural or sel=2 if gas is %condensed. %RESULTS: %calculate gas´ physical properties according to: a) Chapter 3 in book %titled: Propiedades Físicas de los Fluidos de Yacimientos by Ricardo Parra %Pinzón; b) Chapter 1 in book titled: Correlaciones Numéricas PVT by Carlos %Bánzer S. % AUTHOR: % JOHN MR,COLOMBIA,2009. % Remind us to: "The Great Leader".
4
3. INPUTDATA
components={'N2','CO2','C1','C2','C3','i-C4','C4','i-C5','C5','C6'}; compositions=1/100*[1.40 7.16 60.58 14.47 9.47 1.4 3.09 0.79 0.66 0.42]; tempinterv=222; pressinterv=[0:50:5000]+14.696; answ=1; sel=1; weightcomponent= {'C7+',0.56/100,100.21,3.4596};
5
4. OUTPUTDATA
The outputdata is showed as attachments on the following pages.
6
ATTACHMENTS
Z vs. srP (STANDING-KATZ) at T=222ยบF
Z vs. P (STANDING-KATZ) at T=222ยบF
1.05
1.05 Meehan.Sarem Method Meehan.Papay Method Meehan.Yarborough Method Meehan.Brill Method Meehan.DPRobinson Method Meehan.DAbouKassem Method
1
Meehan.Sarem Method Meehan.Papay Method Meehan.Yarborough Method Meehan.Brill Method Meehan.DPRobinson Method Meehan.DAbouKassem Method
1
Z Factor
0.95
Z Factor
0.95
0.9
0.9
0.85
0.85
0.8
0
2 4 6 Pseudoreduced Pressure
8
0.8
0
2000 4000 Pressure (psia)
6000
Bg vs. P (STANDING-KATZ) at T=222ยบF
Eg vs. P (STANDING-KATZ) at T=222ยบF
1.4
300
1.2
250
Volumetric Factor (PCS/PCR)
Volumetric Factor Bg(PCR/PCS)
1
0.8
0.6
200
150
100
0.4
50
0.2
0
0
2000 4000 Pressure (psia)
6000
0
0
2000 4000 Pressure (psia)
6000
Density vs. P (STANDING-KATZ) at T=222ยบF 20
18
16
16
14
14 Specific Volume (ft 3/lb)
18
12 Density (lb/ft3)
Specific Volume vs. P (STANDING-KATZ) at T=222ยบF 20
10
8
12
10
8
6
6
4
4
2
2
0
0
2000 4000 Pressure (psia)
6000
0
0
2000 4000 Pressure (psia)
6000
1.5
-4 xdZ/dP 10 vs. P (STANDING-KATZ) at T=222ยบF
Cg vs. P (STANDING-KATZ) at T=222ยบF 0.07
0.06
1
0.05 Compresibility Cg (1/psia)
dZ/dP (1/psia)
0.5
0
-0.5
0.04
0.03
0.02
-1
-1.5
0.01
0
2000 4000 Pressure (psia)
6000
0
0
2000 4000 Pressure (psia)
6000
srCg vs. srP (BLASINGAME) at T=222ยบF
Cg vs. P (BLASINGAME) at T=222ยบF
50
0.07
45 0.06
0.05
35 Compresibility Cg (1/psia)
Pseudoreduced Compresibility srCg
40
30
25
20
15
0.04
0.03
0.02
10 0.01 5
0
0
2 4 6 Pseudoreduced Pressure srP
8
0
0
2000 4000 Pressure (psia)
6000
Viscosity vs. Pressure at T=222ยบF 0.04 Karr-Kobayashi-Burrows Lee-Gonzalez-Eakin 0.035
Viscosity (cP)
0.03
0.025
0.02
0.015
0.01
0
1000
2000
3000 Pressure (psia)
4000
5000
6000
>> components={'N2','CO2','C1','C2','C3','i-C4','C4','i-C5','C5','C6'}; compositions=1/100*[1.40 7.16 60.58 14.47 9.47 1.4 3.09 0.79 0.66 0.42]; tempinterv=222; pressinterv=[0:50:5000]+14.696; answ=1; sel=1; >> natgasphysprop_main(components,compositions,tempinterv,pressinterv,answ,sel); Type weightcomponent containing plus component info. weightcomponent= {'C7+',0.56/100,100.21,3.4596}; ATTENTION: help gasphysprop_main to know its overview CALCULATIONS OF A GAS´S PHYSICAL PROPERTIES. INPUTDATA: TEMPERATURE= 222ºF Component Ci Mol Fract yi MolWeight MWi Accent Factor AFi Crit CPi(psia) Crit T CTI(ºF) N2 0.014 28.013 0.0372 493 -232.7 CO2 0.0716 44.01 0.2667 1071 87.87 C1 0.6058 16.043 0.0126 667.8 -116.68 C2 0.1447 30.07 0.0978 707.8 90.1 C3 0.0947 44.097 0.1541 616.3 206.01 i-C4 0.014 58.124 0.184 529.1 274.96 C4 0.0309 58.124 0.2015 550.7 305.62 i-C5 0.0079 72.151 0.2286 490.4 369.03 C5 0.0066 72.151 0.2524 488.6 385.6 C6 0.0042 86.178 0.2998 436.9 453.6 Comp Ci Cri V CVi(ft^3/lbm) yi*CPi yi*CTi(ºR) yi*MWi Liq Dens LDi(lbm/gal) N2 0.0516 6.902 3.17758 0.39218 6.748 CO2 0.0342 76.6836 39.20386 3.1511 6.817 C1 0.988 404.5532 207.7833 9.7188 2.5 C2 0.0788 102.4187 79.55172 4.3511 2.97 C3 0.0737 58.36361 63.0399 4.176 4.231 i-C4 0.0724 7.4074 10.28482 0.81374 4.694 C4 0.0703 17.01663 23.64746 1.796 4.87 i-C5 0.0679 3.87416 6.54673 0.56999 5.206 C5 0.0674 3.22476 5.578782 0.4762 5.261 C6 0.06887 1.83498 3.835734 0.36195 5.536 Plus Component: Name Molarfraction Molweight SpecificGravity C7+ 0.0056 100.21 3.4596 OUTPUTDATA THE GAS´ PSEUDOCRITICAL PROPERTIES: Plus Component C7+ Pseudoproperties: By Mathews; Roland; Katz: scP= 2890.9226psia scT= 1274.829ºF By Kesler; Lee: Tb= 910.7566ºF scP= 1687.0907psia scT= 3036.4952ºF End Plus Component Pseudoproperties: Kay´s Mixture Rule: scP= 698.4682psia scT= -7.3069ºF aparentMW= 26.3683 Specific Weight= 0.91043 Mixtures_Stewart-Burkhardt-VooMo: scP= 700.7922psia scT= -2.2755ºF Mixtures_Stewart-Burkhardt-Voo modified by Sutton: scP= 697.8859psia
scT= -4.5936ºF Meehan´s Method: a) Correlation By Brown; Katz; Oberfell; Alden. Hydrocarbons´ Specific Gravity>=0.55 SWeightHC= 0.86183 b) Hydrocarbons´ Pseudoproperties: By Standing: Natural Gas: scPHC= 662.0741psia scTHC= -20.8586ºF By Sutton: 0.571<SWeightHC<1.679 scPHC= 641.2259psia scTHC= -44.2232ºF c) Mixture´ Pseudoproperties (Using Standing´s fit): scPM= 688.9862psia scTM= -16.0048ºF d) Wichert-Aziz´ Method: scPM´= 674.3607psia scTM´= -25.4228ºF Temperature(ºF) Pseudoreduced Temperature 222 1.5698 Pressure(psia) Pseudoreduced Pressure 14.696 0.021792 64.696 0.095937 114.696 0.17008 164.696 0.24423 214.696 0.31837 264.696 0.39251 314.696 0.46666 364.696 0.5408 414.696 0.61495 464.696 0.68909 514.696 0.76324 564.696 0.83738 614.696 0.91152 664.696 0.98567 714.696 1.0598 764.696 1.134 814.696 1.2081 864.696 1.2822 914.696 1.3564 964.696 1.4305 1014.696 1.5047 1064.696 1.5788 1114.696 1.653 1164.696 1.7271 1214.696 1.8013 1264.696 1.8754 1314.696 1.9495 1364.696 2.0237 1414.696 2.0978 1464.696 2.172 1514.696 2.2461 1564.696 2.3203 1614.696 2.3944 1664.696 2.4686 1714.696 2.5427 1764.696 2.6168 1814.696 2.691
1864.696 1914.696 1964.696 2014.696 2064.696 2114.696 2164.696 2214.696 2264.696 2314.696 2364.696 2414.696 2464.696 2514.696 2564.696 2614.696 2664.696 2714.696 2764.696 2814.696 2864.696 2914.696 2964.696 3014.696 3064.696 3114.696 3164.696 3214.696 3264.696 3314.696 3364.696 3414.696 3464.696 3514.696 3564.696 3614.696 3664.696 3714.696 3764.696 3814.696 3864.696 3914.696 3964.696 4014.696 4064.696 4114.696 4164.696 4214.696 4264.696 4314.696 4364.696 4414.696 4464.696 4514.696 4564.696 4614.696 4664.696 4714.696 4764.696
2.7651 2.8393 2.9134 2.9876 3.0617 3.1359 3.21 3.2841 3.3583 3.4324 3.5066 3.5807 3.6549 3.729 3.8032 3.8773 3.9514 4.0256 4.0997 4.1739 4.248 4.3222 4.3963 4.4705 4.5446 4.6187 4.6929 4.767 4.8412 4.9153 4.9895 5.0636 5.1377 5.2119 5.286 5.3602 5.4343 5.5085 5.5826 5.6568 5.7309 5.805 5.8792 5.9533 6.0275 6.1016 6.1758 6.2499 6.3241 6.3982 6.4723 6.5465 6.6206 6.6948 6.7689 6.8431 6.9172 6.9914 7.0655
4814.696 7.1396 4864.696 7.2138 4914.696 7.2879 4964.696 7.3621 5014.696 7.4362 Wichert-Aziz´s Method: a) Mixture´ Pseudocritical Properties: scPM´= 683.9265psia scTM´= -16.7248ºF b) Mixture´ Pseudoreduced Properties: Temperature (ºF) Pseudoreduced Temperature 681.67 1.5389 Pressure(psia) Pseudoreduced Pressure 14.696 0.021488 64.696 0.094595 114.696 0.1677 164.696 0.24081 214.696 0.31392 264.696 0.38702 314.696 0.46013 364.696 0.53324 414.696 0.60635 464.696 0.67945 514.696 0.75256 564.696 0.82567 614.696 0.89877 664.696 0.97188 714.696 1.045 764.696 1.1181 814.696 1.1912 864.696 1.2643 914.696 1.3374 964.696 1.4105 1014.696 1.4836 1064.696 1.5567 1114.696 1.6298 1164.696 1.703 1214.696 1.7761 1264.696 1.8492 1314.696 1.9223 1364.696 1.9954 1414.696 2.0685 1464.696 2.1416 1514.696 2.2147 1564.696 2.2878 1614.696 2.3609 1664.696 2.434 1714.696 2.5071 1764.696 2.5802 1814.696 2.6533 1864.696 2.7265 1914.696 2.7996 1964.696 2.8727 2014.696 2.9458 2064.696 3.0189 2114.696 3.092 2164.696 3.1651 2214.696 3.2382 2264.696 3.3113
2314.696 3.3844 2364.696 3.4575 2414.696 3.5306 2464.696 3.6037 2514.696 3.6769 2564.696 3.75 2614.696 3.8231 2664.696 3.8962 2714.696 3.9693 2764.696 4.0424 2814.696 4.1155 2864.696 4.1886 2914.696 4.2617 2964.696 4.3348 3014.696 4.4079 3064.696 4.481 3114.696 4.5541 3164.696 4.6272 3214.696 4.7004 3264.696 4.7735 3314.696 4.8466 3364.696 4.9197 3414.696 4.9928 3464.696 5.0659 3514.696 5.139 3564.696 5.2121 3614.696 5.2852 3664.696 5.3583 3714.696 5.4314 3764.696 5.5045 3814.696 5.5776 3864.696 5.6507 3914.696 5.7239 3964.696 5.797 4014.696 5.8701 4064.696 5.9432 4114.696 6.0163 4164.696 6.0894 4214.696 6.1625 4264.696 6.2356 4314.696 6.3087 4364.696 6.3818 4414.696 6.4549 4464.696 6.528 4514.696 6.6011 4564.696 6.6742 4614.696 6.7474 4664.696 6.8205 4714.696 6.8936 4764.696 6.9667 4814.696 7.0398 4864.696 7.1129 4914.696 7.186 4964.696 7.2591 5014.696 7.3322 FINDING Z BY STANDING-KATZ CURVE: LIMITATIONS of Standing-Katz Method to Get Satsifactory Results: 1) Gas must be rich in methane CH4 (CH4>90%). 2) Gas mustn´t have aromatic hydrocarbons.
3) Gas mustn´t have impurities. 3.1) 20% N2 produces a 4% error. 3.2) CO2´ presence produce an error in Z calculation equal to C02 percentage presented in mixture. 4) Method doesn´t give appropriate results at temperatures and pressures near to critical point. 5) It isn´t recommended its use in z calculations at pressure more than 10 000 psia. Using Data From Meehan Method: Pseudoreduced Temperature =1.5698 Sarem´s Method Among intervals 0.1=<srP<=14.9, 1.05=<srT<=2.95; error respect to values read on Standing-Katz Curves is less than 0.4%. Pressure(psia) Pseudoreduced Pressure Factor de Corrección Z 14.696 0.021792 0.98989 64.696 0.095937 0.98484 114.696 0.17008 0.97972 164.696 0.24423 0.97454 214.696 0.31837 0.96931 264.696 0.39251 0.96405 314.696 0.46666 0.95875 364.696 0.5408 0.95344 414.696 0.61495 0.94813 464.696 0.68909 0.94282 514.696 0.76324 0.93751 564.696 0.83738 0.93223 614.696 0.91152 0.92698 664.696 0.98567 0.92177 714.696 1.0598 0.9166 764.696 1.134 0.91149 814.696 1.2081 0.90643 864.696 1.2822 0.90144 914.696 1.3564 0.89653 964.696 1.4305 0.8917 1014.696 1.5047 0.88695 1064.696 1.5788 0.8823 1114.696 1.653 0.87775 1164.696 1.7271 0.8733 1214.696 1.8013 0.86896 1264.696 1.8754 0.86474 1314.696 1.9495 0.86063 1364.696 2.0237 0.85665 1414.696 2.0978 0.8528 1464.696 2.172 0.84908 1514.696 2.2461 0.84549 1564.696 2.3203 0.84204 1614.696 2.3944 0.83874 1664.696 2.4686 0.83558 1714.696 2.5427 0.83257 1764.696 2.6168 0.82972 1814.696 2.691 0.82701 1864.696 2.7651 0.82446 1914.696 2.8393 0.82207 1964.696 2.9134 0.81984 2014.696 2.9876 0.81777 2064.696 3.0617 0.81587 2114.696 3.1359 0.81412 2164.696 3.21 0.81255 2214.696 3.2841 0.81114 2264.696 3.3583 0.80989
2314.696 3.4324 0.80881 2364.696 3.5066 0.8079 2414.696 3.5807 0.80716 2464.696 3.6549 0.80659 2514.696 3.729 0.80618 2564.696 3.8032 0.80594 2614.696 3.8773 0.80587 2664.696 3.9514 0.80596 2714.696 4.0256 0.80622 2764.696 4.0997 0.80664 2814.696 4.1739 0.80723 2864.696 4.248 0.80798 2914.696 4.3222 0.80889 2964.696 4.3963 0.80996 3014.696 4.4705 0.81119 3064.696 4.5446 0.81257 3114.696 4.6187 0.81411 3164.696 4.6929 0.81581 3214.696 4.767 0.81765 3264.696 4.8412 0.81964 3314.696 4.9153 0.82178 3364.696 4.9895 0.82406 3414.696 5.0636 0.82648 3464.696 5.1377 0.82905 3514.696 5.2119 0.83175 3564.696 5.286 0.83458 3614.696 5.3602 0.83754 3664.696 5.4343 0.84064 3714.696 5.5085 0.84386 3764.696 5.5826 0.8472 3814.696 5.6568 0.85066 3864.696 5.7309 0.85423 3914.696 5.805 0.85792 3964.696 5.8792 0.86172 4014.696 5.9533 0.86563 4064.696 6.0275 0.86964 4114.696 6.1016 0.87374 4164.696 6.1758 0.87795 4214.696 6.2499 0.88225 4264.696 6.3241 0.88664 4314.696 6.3982 0.89111 4364.696 6.4723 0.89567 4414.696 6.5465 0.90031 4464.696 6.6206 0.90502 4514.696 6.6948 0.9098 4564.696 6.7689 0.91466 4614.696 6.8431 0.91957 4664.696 6.9172 0.92455 4714.696 6.9914 0.92959 4764.696 7.0655 0.93468 4814.696 7.1396 0.93982 4864.696 7.2138 0.94501 4914.696 7.2879 0.95024 4964.696 7.3621 0.95551 5014.696 7.4362 0.96082 Papay麓s Method Takacs found averageerror=-4.873% at 0.2=<srP<=15.0, 1.2=<srT<=3.0; Pressure(psia) Pseudoreduced Pressure Factor de Correcci贸n Z 14.696 0.021792 0.9978
64.696 114.696 164.696 214.696 264.696 314.696 364.696 414.696 464.696 514.696 564.696 614.696 664.696 714.696 764.696 814.696 864.696 914.696 964.696 1014.696 1064.696 1114.696 1164.696 1214.696 1264.696 1314.696 1364.696 1414.696 1464.696 1514.696 1564.696 1614.696 1664.696 1714.696 1764.696 1814.696 1864.696 1914.696 1964.696 2014.696 2064.696 2114.696 2164.696 2214.696 2264.696 2314.696 2364.696 2414.696 2464.696 2514.696 2564.696 2614.696 2664.696 2714.696 2764.696 2814.696 2864.696 2914.696 2964.696
0.095937 0.17008 0.24423 0.31837 0.39251 0.46666 0.5408 0.61495 0.68909 0.76324 0.83738 0.91152 0.98567 1.0598 1.134 1.2081 1.2822 1.3564 1.4305 1.5047 1.5788 1.653 1.7271 1.8013 1.8754 1.9495 2.0237 2.0978 2.172 2.2461 2.3203 2.3944 2.4686 2.5427 2.6168 2.691 2.7651 2.8393 2.9134 2.9876 3.0617 3.1359 3.21 3.2841 3.3583 3.4324 3.5066 3.5807 3.6549 3.729 3.8032 3.8773 3.9514 4.0256 4.0997 4.1739 4.248 4.3222 4.3963
0.9904 0.98317 0.97609 0.96917 0.9624 0.9558 0.94935 0.94306 0.93693 0.93096 0.92515 0.91949 0.91399 0.90865 0.90346 0.89844 0.89357 0.88886 0.88431 0.87992 0.87568 0.8716 0.86768 0.86392 0.86032 0.85687 0.85358 0.85045 0.84748 0.84467 0.84201 0.83951 0.83717 0.83499 0.83296 0.8311 0.82939 0.82784 0.82645 0.82521 0.82413 0.82321 0.82245 0.82185 0.82141 0.82112 0.82099 0.82102 0.8212 0.82155 0.82205 0.82271 0.82353 0.8245 0.82564 0.82693 0.82838 0.82999 0.83175
3014.696 4.4705 0.83368 3064.696 4.5446 0.83576 3114.696 4.6187 0.838 3164.696 4.6929 0.8404 3214.696 4.767 0.84295 3264.696 4.8412 0.84566 3314.696 4.9153 0.84854 3364.696 4.9895 0.85157 3414.696 5.0636 0.85475 3464.696 5.1377 0.8581 3514.696 5.2119 0.8616 3564.696 5.286 0.86526 3614.696 5.3602 0.86908 3664.696 5.4343 0.87306 3714.696 5.5085 0.87719 3764.696 5.5826 0.88148 3814.696 5.6568 0.88594 3864.696 5.7309 0.89054 3914.696 5.805 0.89531 3964.696 5.8792 0.90023 4014.696 5.9533 0.90532 4064.696 6.0275 0.91056 4114.696 6.1016 0.91596 4164.696 6.1758 0.92151 4214.696 6.2499 0.92723 4264.696 6.3241 0.9331 4314.696 6.3982 0.93913 4364.696 6.4723 0.94532 4414.696 6.5465 0.95166 4464.696 6.6206 0.95817 4514.696 6.6948 0.96483 4564.696 6.7689 0.97165 4614.696 6.8431 0.97862 4664.696 6.9172 0.98576 4714.696 6.9914 0.99305 4764.696 7.0655 1.0005 4814.696 7.1396 1.0081 4864.696 7.2138 1.0159 4914.696 7.2879 1.0238 4964.696 7.3621 1.0319 5014.696 7.4362 1.0401 Hall; Yarborough麓s Method Takacs found averageerror=-0.518%. For better results: 0.1<=srP<=24.0 and 1.2<=srT<=3.0 Pressure(psia) Pseudoreduced Pressure Factor de Correcci贸n Z 14.696 0.021792 0.99836 64.696 0.095937 0.99164 114.696 0.17008 0.98523 164.696 0.24423 0.97886 214.696 0.31837 0.97255 264.696 0.39251 0.96629 314.696 0.46666 0.96009 364.696 0.5408 0.95395 414.696 0.61495 0.94788 464.696 0.68909 0.94188 514.696 0.76324 0.93596 564.696 0.83738 0.93012 614.696 0.91152 0.92436 664.696 0.98567 0.9183
714.696 764.696 814.696 864.696 914.696 964.696 1014.696 1064.696 1114.696 1164.696 1214.696 1264.696 1314.696 1364.696 1414.696 1464.696 1514.696 1564.696 1614.696 1664.696 1714.696 1764.696 1814.696 1864.696 1914.696 1964.696 2014.696 2064.696 2114.696 2164.696 2214.696 2264.696 2314.696 2364.696 2414.696 2464.696 2514.696 2564.696 2614.696 2664.696 2714.696 2764.696 2814.696 2864.696 2914.696 2964.696 3014.696 3064.696 3114.696 3164.696 3214.696 3264.696 3314.696 3364.696 3414.696 3464.696 3514.696 3564.696 3614.696
1.0598 1.134 1.2081 1.2822 1.3564 1.4305 1.5047 1.5788 1.653 1.7271 1.8013 1.8754 1.9495 2.0237 2.0978 2.172 2.2461 2.3203 2.3944 2.4686 2.5427 2.6168 2.691 2.7651 2.8393 2.9134 2.9876 3.0617 3.1359 3.21 3.2841 3.3583 3.4324 3.5066 3.5807 3.6549 3.729 3.8032 3.8773 3.9514 4.0256 4.0997 4.1739 4.248 4.3222 4.3963 4.4705 4.5446 4.6187 4.6929 4.767 4.8412 4.9153 4.9895 5.0636 5.1377 5.2119 5.286 5.3602
0.91264 0.90708 0.9016 0.89623 0.89096 0.8858 0.88076 0.87583 0.87103 0.86637 0.86184 0.85745 0.85321 0.84912 0.84519 0.84142 0.83783 0.8344 0.83116 0.82809 0.82521 0.82252 0.82002 0.81772 0.81554 0.81371 0.812 0.81049 0.80919 0.80808 0.80718 0.80647 0.80596 0.80565 0.80553 0.80559 0.80585 0.80628 0.80689 0.80768 0.80864 0.80976 0.81109 0.81254 0.81414 0.81588 0.81777 0.81979 0.82194 0.82423 0.82663 0.82915 0.83179 0.83453 0.83738 0.84032 0.84336 0.8465 0.84972
3664.696 5.4343 0.85302 3714.696 5.5085 0.85641 3764.696 5.5826 0.85987 3814.696 5.6568 0.86341 3864.696 5.7309 0.86702 3914.696 5.805 0.87069 3964.696 5.8792 0.87443 4014.696 5.9533 0.87823 4064.696 6.0275 0.88208 4114.696 6.1016 0.886 4164.696 6.1758 0.88997 4214.696 6.2499 0.89399 4264.696 6.3241 0.89805 4314.696 6.3982 0.90217 4364.696 6.4723 0.90633 4414.696 6.5465 0.91053 4464.696 6.6206 0.91477 4514.696 6.6948 0.91905 4564.696 6.7689 0.92337 4614.696 6.8431 0.92773 4664.696 6.9172 0.93212 4714.696 6.9914 0.93654 4764.696 7.0655 0.94097 4814.696 7.1396 0.94546 4864.696 7.2138 0.94998 4914.696 7.2879 0.95452 4964.696 7.3621 0.95908 5014.696 7.4362 0.96367 Brill-Beggs麓s Method averrelerror=0.19%: 0.0<=srP<=5.0 and 1.3<=srT<=1.7; averrelerror=0.02%: 0.0<=srP<=13 and 1.2 <=srT<=2.4; Method no valid for srt out from [1.2,2.4] Pressure(psia) Pseudoreduced Pressure Factor de Correcci贸n Z 14.696 0.021792 0.99856 64.696 0.095937 0.99335 114.696 0.17008 0.98792 164.696 0.24423 0.98235 214.696 0.31837 0.97666 264.696 0.39251 0.97088 314.696 0.46666 0.96503 364.696 0.5408 0.95911 414.696 0.61495 0.95316 464.696 0.68909 0.94718 514.696 0.76324 0.94119 564.696 0.83738 0.93521 614.696 0.91152 0.92925 664.696 0.98567 0.92332 714.696 1.0598 0.91744 764.696 1.134 0.91161 814.696 1.2081 0.90586 864.696 1.2822 0.90018 914.696 1.3564 0.8946 964.696 1.4305 0.88912 1014.696 1.5047 0.88375 1064.696 1.5788 0.8785 1114.696 1.653 0.87338 1164.696 1.7271 0.8684 1214.696 1.8013 0.86356 1264.696 1.8754 0.85888
1314.696 1364.696 1414.696 1464.696 1514.696 1564.696 1614.696 1664.696 1714.696 1764.696 1814.696 1864.696 1914.696 1964.696 2014.696 2064.696 2114.696 2164.696 2214.696 2264.696 2314.696 2364.696 2414.696 2464.696 2514.696 2564.696 2614.696 2664.696 2714.696 2764.696 2814.696 2864.696 2914.696 2964.696 3014.696 3064.696 3114.696 3164.696 3214.696 3264.696 3314.696 3364.696 3414.696 3464.696 3514.696 3564.696 3614.696 3664.696 3714.696 3764.696 3814.696 3864.696 3914.696 3964.696 4014.696 4064.696 4114.696 4164.696 4214.696
1.9495 2.0237 2.0978 2.172 2.2461 2.3203 2.3944 2.4686 2.5427 2.6168 2.691 2.7651 2.8393 2.9134 2.9876 3.0617 3.1359 3.21 3.2841 3.3583 3.4324 3.5066 3.5807 3.6549 3.729 3.8032 3.8773 3.9514 4.0256 4.0997 4.1739 4.248 4.3222 4.3963 4.4705 4.5446 4.6187 4.6929 4.767 4.8412 4.9153 4.9895 5.0636 5.1377 5.2119 5.286 5.3602 5.4343 5.5085 5.5826 5.6568 5.7309 5.805 5.8792 5.9533 6.0275 6.1016 6.1758 6.2499
0.85435 0.84999 0.8458 0.84178 0.83794 0.83428 0.83081 0.82753 0.82444 0.82154 0.81884 0.81634 0.81403 0.81192 0.81 0.80829 0.80677 0.80544 0.80431 0.80337 0.80263 0.80207 0.8017 0.80151 0.8015 0.80167 0.80201 0.80253 0.80321 0.80406 0.80507 0.80623 0.80755 0.80902 0.81064 0.8124 0.81429 0.81632 0.81848 0.82076 0.82317 0.82569 0.82833 0.83108 0.83393 0.83689 0.83994 0.84309 0.84633 0.84966 0.85307 0.85656 0.86013 0.86377 0.86749 0.87127 0.87511 0.87902 0.88298
4264.696 6.3241 0.887 4314.696 6.3982 0.89107 4364.696 6.4723 0.89519 4414.696 6.5465 0.89936 4464.696 6.6206 0.90358 4514.696 6.6948 0.90783 4564.696 6.7689 0.91213 4614.696 6.8431 0.91646 4664.696 6.9172 0.92083 4714.696 6.9914 0.92524 4764.696 7.0655 0.92967 4814.696 7.1396 0.93414 4864.696 7.2138 0.93863 4914.696 7.2879 0.94315 4964.696 7.3621 0.94769 5014.696 7.4362 0.95225 Dranchuk-Purvls-Robinson麓s Method abserror=0.54%: 0.2<=srP<=30.0 and 1.05<=srT<=3.0; averrelerror=0.02%: 0.0<=srP<=13 and 1.2 <=srT<=2.4; Method no valid for srt out from [1.2,2.4] Pressure(psia) Pseudoreduced Pressure Factor de Correcci贸n Z 14.696 0.021792 0.99812 64.696 0.095937 0.99175 114.696 0.17008 0.9854 164.696 0.24423 0.97909 214.696 0.31837 0.9728 264.696 0.39251 0.96656 314.696 0.46666 0.96035 364.696 0.5408 0.95419 414.696 0.61495 0.94808 464.696 0.68909 0.94203 514.696 0.76324 0.93603 564.696 0.83738 0.93009 614.696 0.91152 0.92423 664.696 0.98567 0.91844 714.696 1.0598 0.91273 764.696 1.134 0.90711 814.696 1.2081 0.90157 864.696 1.2822 0.89614 914.696 1.3564 0.89082 964.696 1.4305 0.8856 1014.696 1.5047 0.88051 1064.696 1.5788 0.87554 1114.696 1.653 0.87071 1164.696 1.7271 0.86602 1214.696 1.8013 0.86147 1264.696 1.8754 0.85709 1314.696 1.9495 0.85286 1364.696 2.0237 0.8488 1414.696 2.0978 0.84492 1464.696 2.172 0.84122 1514.696 2.2461 0.8377 1564.696 2.3203 0.83437 1614.696 2.3944 0.83124 1664.696 2.4686 0.82831 1714.696 2.5427 0.82559 1764.696 2.6168 0.82306 1814.696 2.691 0.82074 1864.696 2.7651 0.81864
1914.696 1964.696 2014.696 2064.696 2114.696 2164.696 2214.696 2264.696 2314.696 2364.696 2414.696 2464.696 2514.696 2564.696 2614.696 2664.696 2714.696 2764.696 2814.696 2864.696 2914.696 2964.696 3014.696 3064.696 3114.696 3164.696 3214.696 3264.696 3314.696 3364.696 3414.696 3464.696 3514.696 3564.696 3614.696 3664.696 3714.696 3764.696 3814.696 3864.696 3914.696 3964.696 4014.696 4064.696 4114.696 4164.696 4214.696 4264.696 4314.696 4364.696 4414.696 4464.696 4514.696 4564.696 4614.696 4664.696 4714.696 4764.696 4814.696
2.8393 2.9134 2.9876 3.0617 3.1359 3.21 3.2841 3.3583 3.4324 3.5066 3.5807 3.6549 3.729 3.8032 3.8773 3.9514 4.0256 4.0997 4.1739 4.248 4.3222 4.3963 4.4705 4.5446 4.6187 4.6929 4.767 4.8412 4.9153 4.9895 5.0636 5.1377 5.2119 5.286 5.3602 5.4343 5.5085 5.5826 5.6568 5.7309 5.805 5.8792 5.9533 6.0275 6.1016 6.1758 6.2499 6.3241 6.3982 6.4723 6.5465 6.6206 6.6948 6.7689 6.8431 6.9172 6.9914 7.0655 7.1396
0.81674 0.81505 0.81357 0.8123 0.81123 0.81036 0.8097 0.80923 0.80896 0.80887 0.80897 0.80925 0.80971 0.81033 0.81112 0.81208 0.81318 0.81444 0.81584 0.81739 0.81907 0.82088 0.82281 0.82487 0.82704 0.82933 0.83172 0.83422 0.83681 0.83951 0.84229 0.84517 0.84813 0.85117 0.85429 0.85749 0.86076 0.8641 0.8675 0.87097 0.87451 0.8781 0.88175 0.88545 0.88921 0.89302 0.89688 0.90078 0.90473 0.90872 0.91276 0.91683 0.92095 0.9251 0.92928 0.9335 0.93776 0.94205 0.94636
4864.696 7.2138 0.95071 4914.696 7.2879 0.95508 4964.696 7.3621 0.95949 5014.696 7.4362 0.96391 Dranchuk-AbouKassem麓s Method: abserror=0.307%: 0.2<=srP<=30.0 and 1.0<srT<=3.0, srP<1.0 and 0.7<srT<=1.0; Method unacceptable over srT=1.0 and srP>=1.0 Pressure(psia) Pseudoreduced Pressure Factor de Correcci贸n Z 14.696 0.021792 0.99814 64.696 0.095937 0.99183 114.696 0.17008 0.98555 164.696 0.24423 0.9793 214.696 0.31837 0.97308 264.696 0.39251 0.96689 314.696 0.46666 0.96074 364.696 0.5408 0.95463 414.696 0.61495 0.94858 464.696 0.68909 0.94257 514.696 0.76324 0.93661 564.696 0.83738 0.93072 614.696 0.91152 0.92489 664.696 0.98567 0.91914 714.696 1.0598 0.91346 764.696 1.134 0.90787 814.696 1.2081 0.90235 864.696 1.2822 0.89694 914.696 1.3564 0.89163 964.696 1.4305 0.88641 1014.696 1.5047 0.88132 1064.696 1.5788 0.87635 1114.696 1.653 0.87151 1164.696 1.7271 0.8668 1214.696 1.8013 0.86223 1264.696 1.8754 0.85781 1314.696 1.9495 0.85355 1364.696 2.0237 0.84945 1414.696 2.0978 0.84552 1464.696 2.172 0.84176 1514.696 2.2461 0.83818 1564.696 2.3203 0.83479 1614.696 2.3944 0.83159 1664.696 2.4686 0.82858 1714.696 2.5427 0.82577 1764.696 2.6168 0.82316 1814.696 2.691 0.82075 1864.696 2.7651 0.81855 1914.696 2.8393 0.81655 1964.696 2.9134 0.81477 2014.696 2.9876 0.81318 2064.696 3.0617 0.81181 2114.696 3.1359 0.81064 2164.696 3.21 0.80967 2214.696 3.2841 0.8089 2264.696 3.3583 0.80833 2314.696 3.4324 0.80795 2364.696 3.5066 0.80777 2414.696 3.5807 0.80777 2464.696 3.6549 0.80796 2514.696 3.729 0.80832
2564.696 3.8032 2614.696 3.8773 2664.696 3.9514 2714.696 4.0256 2764.696 4.0997 2814.696 4.1739 2864.696 4.248 2914.696 4.3222 2964.696 4.3963 3014.696 4.4705 3064.696 4.5446 3114.696 4.6187 3164.696 4.6929 3214.696 4.767 3264.696 4.8412 3314.696 4.9153 3364.696 4.9895 3414.696 5.0636 3464.696 5.1377 3514.696 5.2119 3564.696 5.286 3614.696 5.3602 3664.696 5.4343 3714.696 5.5085 3764.696 5.5826 3814.696 5.6568 3864.696 5.7309 3914.696 5.805 3964.696 5.8792 4014.696 5.9533 4064.696 6.0275 4114.696 6.1016 4164.696 6.1758 4214.696 6.2499 4264.696 6.3241 4314.696 6.3982 4364.696 6.4723 4414.696 6.5465 4464.696 6.6206 4514.696 6.6948 4564.696 6.7689 4614.696 6.8431 4664.696 6.9172 4714.696 6.9914 4764.696 7.0655 4814.696 7.1396 4864.696 7.2138 4914.696 7.2879 4964.696 7.3621 5014.696 7.4362 PRESS A KEY TO CONTINUE... Gas´ Volumetric Factor Bg: Pressure(psia) Bg(PCR/PCS) 14.696 1.3089 64.696 0.29543 114.696 0.16559 164.696 0.11459 214.696 0.087342 264.696 0.070393
0.80886 0.80956 0.81043 0.81146 0.81264 0.81398 0.81546 0.81707 0.81883 0.82071 0.82272 0.82485 0.8271 0.82946 0.83192 0.8345 0.83717 0.83994 0.8428 0.84575 0.84879 0.85191 0.85511 0.85839 0.86173 0.86515 0.86864 0.87219 0.8758 0.87948 0.88321 0.88699 0.89083 0.89472 0.89866 0.90264 0.90668 0.91075 0.91487 0.91902 0.92322 0.92745 0.93171 0.93601 0.94035 0.94472 0.94911 0.95354 0.95799 0.96247
Eg(PCS/PCR) 0.7640238 3.38484 6.039047 8.727055 11.44924 14.20596
Bg(BR/PCS) 0.23334 0.05267 0.029521 0.020429 0.015571 0.01255
Eg(PCS/BR) 4.2855065 18.985997 33.873781 48.951162 64.220267 79.683022
314.696 364.696 414.696 464.696 514.696 564.696 614.696 664.696 714.696 764.696 814.696 864.696 914.696 964.696 1014.696 1064.696 1114.696 1164.696 1214.696 1264.696 1314.696 1364.696 1414.696 1464.696 1514.696 1564.696 1614.696 1664.696 1714.696 1764.696 1814.696 1864.696 1914.696 1964.696 2014.696 2064.696 2114.696 2164.696 2214.696 2264.696 2314.696 2364.696 2414.696 2464.696 2514.696 2564.696 2614.696 2664.696 2714.696 2764.696 2814.696 2864.696 2914.696 2964.696 3014.696 3064.696 3114.696 3164.696 3214.696
0.058832 0.050444 0.04408 0.039088 0.035068 0.031762 0.028996 0.026648 0.02463 0.022879 0.021344 0.019989 0.018785 0.017707 0.016738 0.015862 0.015067 0.014342 0.013679 0.013071 0.012511 0.011995 0.011518 0.011075 0.010664 0.010281 0.0099247 0.0095918 0.0092805 0.008989 0.0087158 0.0084593 0.0082184 0.0079917 0.0077782 0.007577 0.0073872 0.0072079 0.0070385 0.0068783 0.0067266 0.0065828 0.0064465 0.0063172 0.0061944 0.0060776 0.0059666 0.005861 0.0057603 0.0056644 0.0055729 0.0054856 0.0054022 0.0053224 0.0052462 0.0051733 0.0051034 0.0050364 0.0049723
16.9975 19.82411 22.68601 25.58332 28.51611 31.48438 34.48803 37.52688 40.60064 43.70866 46.85114 50.02672 53.23454 56.4747 59.74502 63.04465 66.37219 69.72606 73.10454 76.50573 79.92757 83.36786 86.82423 90.29419 93.77513 97.26433 100.759 104.2562 107.7531 111.2468 114.7342 118.2125 121.6788 125.1304 128.5644 131.9784 135.3697 138.7361 142.0754 145.3854 148.6644 151.9105 155.1222 158.2981 161.4369 164.5376 167.5991 170.6207 173.6017 176.5417 179.44 182.2966 185.1111 187.8835 190.6137 193.3019 195.9482 198.5527 201.1159
0.010489 0.0089931 0.0078586 0.0069686 0.0062519 0.0056625 0.0051694 0.0047508 0.0043911 0.0040788 0.0038053 0.0035637 0.003349 0.0031568 0.002984 0.0028279 0.0026861 0.0025569 0.0024387 0.0023303 0.0022305 0.0021385 0.0020534 0.0019744 0.0019012 0.001833 0.0017694 0.00171 0.0016545 0.0016026 0.0015539 0.0015081 0.0014652 0.0014248 0.0013867 0.0013508 0.001317 0.001285 0.0012548 0.0012263 0.0011992 0.0011736 0.0011493 0.0011262 0.0011043 0.0010835 0.0010637 0.0010449 0.001027 0.0010099 0.00099354 0.00097797 0.0009631 0.00094889 0.0009353 0.00092229 0.00090984 0.0008979 0.00088646
95.341116 111.19597 127.2487 143.50008 159.95049 176.59989 193.44776 210.49306 227.73416 245.16741 262.794 280.60622 298.59932 316.77376 335.11743 353.62547 372.29002 391.10232 410.05263 429.13033 448.32389 467.62089 487.00811 506.47157 525.99661 545.56797 565.16994 584.7864 604.40099 623.99724 643.55868 663.06896 682.51201 701.87214 721.13412 740.28334 759.30585 778.18846 796.91878 815.4853 833.87736 852.08524 870.10012 887.91408 905.5201 922.91204 940.08458 957.03322 973.75423 990.24459 1006.502 1022.5247 1038.3117 1053.8623 1069.1766 1084.2549 1099.0981 1113.7075 1128.0846
3264.696 0.0049107 203.638 0.00087548 1142.2312 3314.696 0.0048516 206.1194 0.00086494 1156.1496 3364.696 0.0047948 208.5605 0.00085482 1169.8422 3414.696 0.0047402 210.9618 0.00084509 1183.3116 3464.696 0.0046877 213.3239 0.00083573 1196.5606 3514.696 0.0046372 215.6472 0.00082672 1209.5923 3564.696 0.0045886 217.9323 0.00081806 1222.4098 3614.696 0.0045417 220.1798 0.00080971 1235.0164 3664.696 0.0044966 222.3903 0.00080166 1247.4153 3714.696 0.0044531 224.5644 0.0007939 1259.6102 3764.696 0.0044111 226.7027 0.00078641 1271.6044 3814.696 0.0043705 228.8059 0.00077918 1283.4016 3864.696 0.0043314 230.8747 0.0007722 1295.0053 3914.696 0.0042935 232.9095 0.00076545 1306.4191 3964.696 0.0042569 234.9112 0.00075893 1317.6467 4014.696 0.0042215 236.8803 0.00075262 1328.6916 4064.696 0.0041873 238.8175 0.00074652 1339.5574 4114.696 0.0041541 240.7233 0.0007406 1350.2478 4164.696 0.004122 242.5986 0.00073488 1360.7663 4214.696 0.0040909 244.4438 0.00072933 1371.1163 4264.696 0.0040607 246.2602 0.00072395 1381.3048 4314.696 0.0040315 248.0467 0.00071874 1391.3252 4364.696 0.0040031 249.8055 0.00071368 1401.1909 4414.696 0.0039756 251.5368 0.00070877 1410.9019 4464.696 0.0039488 253.2412 0.000704 1420.4618 4514.696 0.0039228 254.9192 0.00069936 1429.8739 4564.696 0.0038976 256.5714 0.00069486 1439.1415 4614.696 0.003873 258.1985 0.00069048 1448.2681 4664.696 0.0038491 259.801 0.00068622 1457.257 4714.696 0.0038259 261.3796 0.00068208 1466.1116 4764.696 0.0038033 262.9328 0.00067805 1474.8233 4814.696 0.0037812 264.4641 0.00067412 1483.4128 4864.696 0.0037598 265.9729 0.0006703 1491.8758 4914.696 0.0037389 267.4596 0.00066657 1500.2151 4964.696 0.0037185 268.9248 0.00066294 1508.4332 5014.696 0.0036987 270.3688 0.0006594 1516.5331 PRESS A KEY TO CONTINUE... Gas´ Density: Pressure(psia) Density (lb/ft^3) Especific Volume (ft^3/lb) 14.696 0.0530736 18.8418 64.696 0.235131 4.25295 114.696 0.419508 2.38375 164.696 0.606232 1.64953 214.696 0.795331 1.25734 264.696 0.986829 1.01335 314.696 1.18075 0.846923 364.696 1.3771 0.726164 414.696 1.5759 0.634557 464.696 1.77717 0.562693 514.696 1.9809 0.504822 564.696 2.18709 0.457229 614.696 2.39574 0.417407 664.696 2.60684 0.383607 714.696 2.82036 0.354565 764.696 3.03626 0.329353 814.696 3.25455 0.307262 864.696 3.47515 0.287757 914.696 3.69798 0.270418 964.696 3.92306 0.254903
1014.696 1064.696 1114.696 1164.696 1214.696 1264.696 1314.696 1364.696 1414.696 1464.696 1514.696 1564.696 1614.696 1664.696 1714.696 1764.696 1814.696 1864.696 1914.696 1964.696 2014.696 2064.696 2114.696 2164.696 2214.696 2264.696 2314.696 2364.696 2414.696 2464.696 2514.696 2564.696 2614.696 2664.696 2714.696 2764.696 2814.696 2864.696 2914.696 2964.696 3014.696 3064.696 3114.696 3164.696 3214.696 3264.696 3314.696 3364.696 3414.696 3464.696 3514.696 3564.696 3614.696 3664.696 3714.696 3764.696 3814.696 3864.696 3914.696
4.15024 4.37945 4.6106 4.84358 5.07827 5.31454 5.55224 5.79122 6.03132 6.27236 6.51417 6.75655 6.99931 7.24225 7.48516 7.72785 7.97011 8.21173 8.45252 8.69229 8.93084 9.16799 9.40357 9.63742 9.86939 10.0993 10.3271 10.5526 10.7757 10.9963 11.2144 11.4297 11.6424 11.8523 12.0594 12.2636 12.465 12.6634 12.8589 13.0515 13.2411 13.4279 13.6117 13.7926 13.9707 14.1459 14.3183 14.4878 14.6546 14.8187 14.9801 15.1388 15.295 15.4485 15.5996 15.7481 15.8942 16.0379 16.1793
0.24095 0.228339 0.216892 0.206459 0.196918 0.188163 0.180108 0.172675 0.165801 0.15943 0.153512 0.148005 0.142871 0.138079 0.133598 0.129402 0.125469 0.121777 0.118308 0.115045 0.111972 0.109075 0.106343 0.103762 0.101323 0.0990166 0.0968326 0.0947635 0.0928014 0.0909396 0.0891715 0.0874911 0.0858929 0.0843717 0.0829229 0.081542 0.0802249 0.0789678 0.0777672 0.0766196 0.0755222 0.0744719 0.0734662 0.0725025 0.0715784 0.0706919 0.0698409 0.0690234 0.0682378 0.0674822 0.0667552 0.0660552 0.065381 0.0647311 0.0641044 0.0634997 0.062916 0.0623523 0.0618075
3964.696 16.3183 0.0612809 4014.696 16.4551 0.0607715 4064.696 16.5897 0.0602785 4114.696 16.7221 0.0598013 4164.696 16.8523 0.059339 4214.696 16.9805 0.0588911 4264.696 17.1067 0.0584567 4314.696 17.2308 0.0580357 4364.696 17.353 0.0576271 4414.696 17.4732 0.0572304 4464.696 17.5916 0.0568453 4514.696 17.7082 0.0564711 4564.696 17.8229 0.0561074 4614.696 17.936 0.0557539 4664.696 18.0473 0.05541 4714.696 18.157 0.0550753 4764.696 18.2648 0.05475 4814.696 18.3712 0.054433 4864.696 18.476 0.0541242 4914.696 18.5793 0.0538233 4964.696 18.6811 0.0535301 5014.696 18.7814 0.0532442 PRESS A KEY TO CONTINUE... Gas´s Compresibility Cg: JOHN MR´s Method: Pressure(psia) Z dZ/dP(1/psia) Compresibility Cg(1/psia) 14.696 0.99814 -0.00012637 0.068172 64.696 0.99183 -0.0001259 0.015584 114.696 0.98555 -0.00012537 0.0088459 164.696 0.9793 -0.00012477 0.0061992 214.696 0.97308 -0.00012411 0.0047853 264.696 0.96689 -0.00012337 0.0039055 314.696 0.96074 -0.00012256 0.0033052 364.696 0.95463 -0.00012167 0.0028695 414.696 0.94858 -0.0001207 0.0025386 464.696 0.94257 -0.00011963 0.0022789 514.696 0.93661 -0.00011847 0.0020694 564.696 0.93072 -0.00011722 0.0018968 614.696 0.92489 -0.00011585 0.0017521 664.696 0.91914 -0.0001144 0.0016289 714.696 0.91346 -0.00011272 0.0015226 764.696 0.90787 -0.00011108 0.0014301 814.696 0.90235 -0.00010937 0.0013487 864.696 0.89694 -0.0001072 0.001276 914.696 0.89163 -0.00010525 0.0012113 964.696 0.88641 -0.00010312 0.0011529 1014.696 0.88132 -0.00010064 0.0010997 1064.696 0.87635 -9.8183e-005 0.0010513 1114.696 0.87151 -9.5545e-005 0.0010067 1164.696 0.8668 -9.2779e-005 0.00096563 1214.696 0.86223 -8.9872e-005 0.00092748 1264.696 0.85781 -8.683e-005 0.00089193 1314.696 0.85355 -8.3654e-005 0.00085864 1364.696 0.84945 -8.0349e-005 0.00082735 1414.696 0.84552 -7.692e-005 0.00079784 1464.696 0.84176 -7.3376e-005 0.0007699 1514.696 0.83818 -6.9722e-005 0.00074338 1564.696 0.83479 -6.5968e-005 0.00071813 1614.696 0.83159 -6.2125e-005 0.00069402
1664.696 1714.696 1764.696 1814.696 1864.696 1914.696 1964.696 2014.696 2064.696 2114.696 2164.696 2214.696 2264.696 2314.696 2364.696 2414.696 2464.696 2514.696 2564.696 2614.696 2664.696 2714.696 2764.696 2814.696 2864.696 2914.696 2964.696 3014.696 3064.696 3114.696 3164.696 3214.696 3264.696 3314.696 3364.696 3414.696 3464.696 3514.696 3564.696 3614.696 3664.696 3714.696 3764.696 3814.696 3864.696 3914.696 3964.696 4014.696 4064.696 4114.696 4164.696 4214.696 4264.696 4314.696 4364.696 4414.696 4464.696 4514.696 4564.696
0.82858 0.82577 0.82316 0.82075 0.81855 0.81655 0.81477 0.81318 0.81181 0.81064 0.80967 0.8089 0.80833 0.80795 0.80777 0.80777 0.80796 0.80832 0.80886 0.80956 0.81043 0.81146 0.81264 0.81398 0.81546 0.81707 0.81883 0.82071 0.82272 0.82485 0.8271 0.82946 0.83192 0.8345 0.83717 0.83994 0.8428 0.84575 0.84879 0.85191 0.85511 0.85839 0.86173 0.86515 0.86864 0.87219 0.8758 0.87948 0.88321 0.88699 0.89083 0.89472 0.89866 0.90264 0.90668 0.91075 0.91487 0.91902 0.92322
-5.8203e-005 -5.4214e-005 -5.017e-005 -4.6083e-005 -4.1967e-005 -3.7834e-005 -3.3698e-005 -2.957e-005 -2.5462e-005 -2.1387e-005 -1.7353e-005 -1.3371e-005 -9.4501e-006 -5.5973e-006 -1.8196e-006 1.8772e-006 5.4881e-006 9.0093e-006 1.2438e-005 1.5771e-005 1.9007e-005 2.2146e-005 2.5186e-005 2.8129e-005 3.0975e-005 3.3725e-005 3.638e-005 3.8941e-005 4.1412e-005 4.3793e-005 4.6087e-005 4.8296e-005 5.0423e-005 5.247e-005 5.4438e-005 5.6332e-005 5.8152e-005 5.9902e-005 6.1584e-005 6.32e-005 6.4753e-005 6.6245e-005 6.7679e-005 6.9055e-005 7.0378e-005 7.1649e-005 7.2869e-005 7.4042e-005 7.5169e-005 7.6249e-005 7.7301e-005 7.8256e-005 7.9252e-005 8.0209e-005 8.1051e-005 8.1914e-005 8.2726e-005 8.351e-005 8.4257e-005
0.00067095 0.00064885 0.00062762 0.0006072 0.00058755 0.00056861 0.00055034 0.00053272 0.0005157 0.00049926 0.00048339 0.00046806 0.00045325 0.00043895 0.00042514 0.00041181 0.00039894 0.00038652 0.00037453 0.00036297 0.00035182 0.00034107 0.00033071 0.00032072 0.00031109 0.00030181 0.00029287 0.00028426 0.00027596 0.00026797 0.00026026 0.00025284 0.0002457 0.00023881 0.00023218 0.00022579 0.00021963 0.00021369 0.00020797 0.00020246 0.00019715 0.00019203 0.00018709 0.00018233 0.00017773 0.0001733 0.00016902 0.0001649 0.00016091 0.00015707 0.00015334 0.0001498 0.00014629 0.00014291 0.00013972 0.00013658 0.00013355 0.00013063 0.00012781
4614.696 0.92745 8.4982e-005 4664.696 0.93171 8.5636e-005 4714.696 0.93601 8.6399e-005 4764.696 0.94035 8.707e-005 4814.696 0.94472 8.7604e-005 4864.696 0.94911 8.8219e-005 4914.696 0.95354 8.8783e-005 4964.696 0.95799 8.9333e-005 5014.696 0.96247 8.9857e-005 PRESS A KEY TO CONTINUE... Blasingame´s Method: Pressure(psia) Z srdensity 14.696 0.99814 0.0037553 64.696 0.99183 0.016637 114.696 0.98555 0.029683 164.696 0.9793 0.042895 214.696 0.97308 0.056274 264.696 0.96689 0.069824 314.696 0.96074 0.083545 364.696 0.95463 0.097438 414.696 0.94858 0.1115 464.696 0.94257 0.12575 514.696 0.93661 0.14016 564.696 0.93072 0.15475 614.696 0.92489 0.16951 664.696 0.91914 0.18445 714.696 0.91346 0.19956 764.696 0.90787 0.21483 814.696 0.90235 0.23028 864.696 0.89694 0.24589 914.696 0.89163 0.26165 964.696 0.88641 0.27758 1014.696 0.88132 0.29365 1064.696 0.87635 0.30987 1114.696 0.87151 0.32623 1164.696 0.8668 0.34271 1214.696 0.86223 0.35932 1264.696 0.85781 0.37604 1314.696 0.85355 0.39285 1364.696 0.84945 0.40976 1414.696 0.84552 0.42675 1464.696 0.84176 0.44381 1514.696 0.83818 0.46092 1564.696 0.83479 0.47807 1614.696 0.83159 0.49524 1664.696 0.82858 0.51243 1714.696 0.82577 0.52962 1764.696 0.82316 0.54679 1814.696 0.82075 0.56393 1864.696 0.81855 0.58103 1914.696 0.81655 0.59807 1964.696 0.81477 0.61503 2014.696 0.81318 0.63191 2064.696 0.81181 0.64869 2114.696 0.81064 0.66536 2164.696 0.80967 0.68191 2214.696 0.8089 0.69832 2264.696 0.80833 0.71459 2314.696 0.80795 0.7307
0.00012507 0.00012246 0.0001198 0.00011728 0.00011497 0.00011261 0.00011036 0.00010817 0.00010605
dz/d(srdensity) -0.49364 -0.4856 -0.47746 -0.46922 -0.46087 -0.45241 -0.44385 -0.43517 -0.42638 -0.41748 -0.40846 -0.39933 -0.39007 -0.3807 -0.37121 -0.3616 -0.35187 -0.34201 -0.33203 -0.32193 -0.31172 -0.30138 -0.29092 -0.28036 -0.26968 -0.25889 -0.248 -0.237 -0.22592 -0.21474 -0.20349 -0.19215 -0.18075 -0.16928 -0.15776 -0.14619 -0.13458 -0.12293 -0.11126 -0.099556 -0.08784 -0.076112 -0.064377 -0.052639 -0.040901 -0.029167 -0.017437
srCg 45.9727 10.5091 5.96533 4.1805 3.22701 2.63373 2.22892 1.93505 1.71196 1.53678 1.39551 1.27913 1.18153 1.09846 1.02684 0.964388 0.909406 0.860568 0.816842 0.777413 0.741621 0.708931 0.678906 0.651183 0.625459 0.60148 0.579032 0.557934 0.538032 0.519194 0.501307 0.484276 0.468019 0.452466 0.437557 0.423241 0.409474 0.396221 0.383448 0.37113 0.359242 0.347766 0.336683 0.325978 0.315639 0.305652 0.296007
Cg (1/psia) 0.068172 0.015584 0.0088459 0.0061992 0.0047853 0.0039055 0.0033052 0.0028695 0.0025386 0.0022789 0.0020694 0.0018968 0.0017521 0.0016289 0.0015227 0.0014301 0.0013485 0.0012761 0.0012113 0.0011528 0.0010997 0.0010513 0.0010067 0.00096563 0.00092748 0.00089193 0.00085864 0.00082735 0.00079784 0.0007699 0.00074338 0.00071813 0.00069402 0.00067095 0.00064885 0.00062762 0.0006072 0.00058755 0.00056861 0.00055034 0.00053272 0.0005157 0.00049926 0.00048339 0.00046806 0.00045325 0.00043894
2364.696 0.80777 0.74666 -0.005715 0.286693 0.00042513 2414.696 0.80777 0.76244 0.0059997 0.277701 0.0004118 2464.696 0.80796 0.77805 0.017706 0.269021 0.00039893 2514.696 0.80832 0.79348 0.029405 0.260644 0.00038651 2564.696 0.80886 0.80872 0.041096 0.252562 0.00037452 2614.696 0.80956 0.82377 0.052781 0.244766 0.00036296 2664.696 0.81043 0.83862 0.06446 0.237247 0.00035181 2714.696 0.81146 0.85327 0.076137 0.229997 0.00034106 2764.696 0.81264 0.86772 0.087813 0.223008 0.0003307 2814.696 0.81398 0.88197 0.099489 0.216272 0.00032071 2864.696 0.81546 0.89601 0.11117 0.209779 0.00031108 2914.696 0.81707 0.90984 0.12285 0.203523 0.0003018 2964.696 0.81883 0.92347 0.13455 0.197495 0.00029286 3014.696 0.82071 0.93689 0.14625 0.191687 0.00028425 3064.696 0.82272 0.9501 0.15797 0.186092 0.00027595 3114.696 0.82485 0.96311 0.16971 0.180703 0.00026796 3164.696 0.8271 0.97591 0.18146 0.17551 0.00026026 3214.696 0.82946 0.98851 0.19323 0.170509 0.00025284 3264.696 0.83192 1.0009 0.20503 0.16569 0.0002457 3314.696 0.8345 1.0131 0.21685 0.161048 0.00023882 3364.696 0.83717 1.0251 0.22869 0.156576 0.00023218 3414.696 0.83994 1.0369 0.24057 0.152267 0.0002258 3464.696 0.8428 1.0485 0.25247 0.148115 0.00021964 3514.696 0.84575 1.0599 0.26441 0.144114 0.00021371 3564.696 0.84879 1.0712 0.27637 0.140258 0.00020799 3614.696 0.85191 1.0822 0.28838 0.136541 0.00020248 3664.696 0.85511 1.0931 0.30041 0.132958 0.00019716 3714.696 0.85839 1.1038 0.31248 0.129504 0.00019204 3764.696 0.86173 1.1143 0.32458 0.126172 0.0001871 3814.696 0.86515 1.1246 0.33672 0.12296 0.00018234 3864.696 0.86864 1.1348 0.3489 0.119861 0.00017774 3914.696 0.87219 1.1448 0.36111 0.116871 0.00017331 3964.696 0.8758 1.1546 0.37336 0.113986 0.00016903 4014.696 0.87948 1.1643 0.38564 0.111202 0.0001649 4064.696 0.88321 1.1738 0.39795 0.108514 0.00016091 4114.696 0.88699 1.1832 0.41031 0.105919 0.00015707 4164.696 0.89083 1.1924 0.42269 0.103413 0.00015335 4214.696 0.89472 1.2015 0.43511 0.100993 0.00014976 4264.696 0.89866 1.2104 0.44757 0.0986548 0.00014629 4314.696 0.90264 1.2192 0.46004 0.0963962 0.00014294 4364.696 0.90668 1.2278 0.47256 0.0942128 0.00013971 4414.696 0.91075 1.2363 0.4851 0.0921023 0.00013658 4464.696 0.91487 1.2447 0.49768 0.0900616 0.00013355 4514.696 0.91902 1.253 0.51028 0.088088 0.00013062 4564.696 0.92322 1.2611 0.52291 0.0861789 0.00012779 4614.696 0.92745 1.2691 0.53556 0.0843317 0.00012505 4664.696 0.93171 1.277 0.54824 0.082544 0.0001224 4714.696 0.93601 1.2847 0.56095 0.0808133 0.00011984 4764.696 0.94035 1.2923 0.57367 0.0791392 0.00011735 4814.696 0.94472 1.2999 0.58641 0.0775169 0.00011495 4864.696 0.94911 1.3073 0.59918 0.0759455 0.00011262 4914.696 0.95354 1.3146 0.61197 0.074423 0.00011036 4964.696 0.95799 1.3218 0.62478 0.0729475 0.00010817 5014.696 0.96247 1.3289 0.6376 0.0715173 0.00010605 PRESS A KEY TO CONTINUE... Viscosity by mean of Carr_Kobayashi_Burrows´ Method: Standing fit: relerror=0.38%, 30 values over: 0.55<SW<1.55 and 100ºF<T<300ºF. Dempsey fit: Good results, 1.0=<srP<=20 and 1.2=<srT<=3.0 Viscosity(14.696psia)= 0.012366cP
Pressure(psia) 14.696 64.696 114.696 164.696 214.696 264.696 314.696 364.696 414.696 464.696 514.696 564.696 614.696 664.696 714.696 764.696 814.696 864.696 914.696 964.696 1014.696 1064.696 1114.696 1164.696 1214.696 1264.696 1314.696 1364.696 1414.696 1464.696 1514.696 1564.696 1614.696 1664.696 1714.696 1764.696 1814.696 1864.696 1914.696 1964.696 2014.696 2064.696 2114.696 2164.696 2214.696 2264.696 2314.696 2364.696 2414.696 2464.696 2514.696 2564.696 2614.696 2664.696 2714.696 2764.696 2814.696 2864.696
Viscosity(cP) 0.010856 0.011017 0.011179 0.011342 0.011507 0.011672 0.011839 0.012007 0.012176 0.012347 0.012518 0.012691 0.012865 0.013039 0.013215 0.013392 0.01357 0.013749 0.013929 0.01411 0.014292 0.014476 0.014659 0.014844 0.01503 0.015217 0.015405 0.015593 0.015783 0.015973 0.016164 0.016356 0.016548 0.016741 0.016936 0.01713 0.017326 0.017522 0.017719 0.017916 0.018115 0.018313 0.018513 0.018712 0.018913 0.019114 0.019315 0.019517 0.019719 0.019922 0.020125 0.020329 0.020533 0.020737 0.020942 0.021147 0.021352 0.021558
2914.696 0.021764 2964.696 0.02197 3014.696 0.022176 3064.696 0.022382 3114.696 0.022589 3164.696 0.022795 3214.696 0.023002 3264.696 0.023209 3314.696 0.023416 3364.696 0.023623 3414.696 0.02383 3464.696 0.024037 3514.696 0.024244 3564.696 0.024451 3614.696 0.024658 3664.696 0.024865 3714.696 0.025072 3764.696 0.025278 3814.696 0.025485 3864.696 0.025691 3914.696 0.025897 3964.696 0.026103 4014.696 0.026309 4064.696 0.026515 4114.696 0.02672 4164.696 0.026925 4214.696 0.02713 4264.696 0.027334 4314.696 0.027538 4364.696 0.027742 4414.696 0.027945 4464.696 0.028148 4514.696 0.028351 4564.696 0.028553 4614.696 0.028755 4664.696 0.028956 4714.696 0.029157 4764.696 0.029357 4814.696 0.029557 4864.696 0.029756 4914.696 0.029954 4964.696 0.030153 5014.696 0.03035 Viscosity by mean of Lee_Gonzalez_Eakin´ Method: 100ºF<T<340ºF and 100psia<P<8000psia Fit: avStanddeviation=2.69%, maxStanddeviation=8.99% Pressure(psia) Viscosity(cP) 14.696 0.0127 64.696 0.01273 114.696 0.01277 164.696 0.012819 214.696 0.012874 264.696 0.012935 314.696 0.013002 364.696 0.013074 414.696 0.013151 464.696 0.013234 514.696 0.013321 564.696 0.013414
614.696 664.696 714.696 764.696 814.696 864.696 914.696 964.696 1014.696 1064.696 1114.696 1164.696 1214.696 1264.696 1314.696 1364.696 1414.696 1464.696 1514.696 1564.696 1614.696 1664.696 1714.696 1764.696 1814.696 1864.696 1914.696 1964.696 2014.696 2064.696 2114.696 2164.696 2214.696 2264.696 2314.696 2364.696 2414.696 2464.696 2514.696 2564.696 2614.696 2664.696 2714.696 2764.696 2814.696 2864.696 2914.696 2964.696 3014.696 3064.696 3114.696 3164.696 3214.696 3264.696 3314.696 3364.696 3414.696 3464.696 3514.696
0.013512 0.013614 0.013722 0.013835 0.013953 0.014076 0.014205 0.014338 0.014478 0.014622 0.014773 0.014928 0.01509 0.015257 0.015429 0.015608 0.015791 0.015981 0.016176 0.016376 0.016582 0.016794 0.01701 0.017232 0.017459 0.017691 0.017927 0.018168 0.018414 0.018664 0.018918 0.019175 0.019437 0.019701 0.019969 0.02024 0.020514 0.020791 0.02107 0.021351 0.021634 0.021919 0.022206 0.022494 0.022784 0.023074 0.023366 0.023659 0.023952 0.024245 0.02454 0.024834 0.025128 0.025423 0.025717 0.026012 0.026306 0.026599 0.026892
3564.696 0.027185 3614.696 0.027477 3664.696 0.027768 3714.696 0.028059 3764.696 0.028348 3814.696 0.028637 3864.696 0.028925 3914.696 0.029212 3964.696 0.029498 4014.696 0.029783 4064.696 0.030067 4114.696 0.030349 4164.696 0.030631 4214.696 0.030911 4264.696 0.03119 4314.696 0.031468 4364.696 0.031744 4414.696 0.03202 4464.696 0.032294 4514.696 0.032567 4564.696 0.032838 4614.696 0.033108 4664.696 0.033377 4714.696 0.033645 4764.696 0.033911 4814.696 0.034175 4864.696 0.034439 4914.696 0.034701 4964.696 0.034962 5014.696 0.035221 PRESS A KEY TO CONTINUE... Finding GPM: GPM = 4.2598gal/MPCS. NOTE: Condensation: C3:80% and weighter:100%. Successful Gas Characterization. BY JOHN MR. Remind us to: "The Great Leader" >>