Horizontal Well Technology

Appendix B: Gas Compressibility Factor

OVERVIEW

The ideal-gas law states that the behavior of a gas can be expressed as


where

  • p = Pressure, psia

  • V = Volume, ft 3

  • n = Number of moles

  • R = The gas constant, ft 3-psi/( R-lb-moles)

  • T = Temperature, Rankine ( R)

As shown below, the ideal-gas law, Equation B-1, can be modified to account for deviation of a real gas from ideal-gas behavior.


where z is compressibility factor. The Theorem of Corresponding States demonstrates that real gas mixtures will have the same z- factor for the same values of pseudo-reduced pressure p pr and pseudo-reduced temperature T pr which are defined as



where p pc and T pc are the pseudo-critical pressure and temperature for hydrocarbon gases, respectively. Table B-1 lists p pc and T pc as a function of gas gravity ? g for values of ? g ranging from 0.55 to 1.14. [1] Figure A-8 is Standing and Katz chart for determining z-factors for natural gases as a function of pseudo-reduced pressure p pr and temperature T pr. [2]

TABLE B-1: PSEUDOCRITICAL PROPERTIES OF HYDROCARBON GASES, p pc AND T pc [*]

? g

P pc

T pc

? g

P pc

T pc

0.55

673

336

0.85

664

441

0.56

673

341

0.86

664

444

0.57

672

346

0.87

663

448

0.58

672

350

0.88

663

451

0.59

672

354

0.89

662

454

0.60

671

358

0.90

662

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