Page 34 - Standard Handbook Petroleum Natural Gas Engineering VOLUME2
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24   Reservoir Engineering







































                                                                              IO
                                                  Temperature,  F.
                    Figure 5-17. Change in water volume due to temperature reduction [18].






                                                                                 (5-12)


                  For  perfect gases (z  = 1 and dz/dp  = 0),  cs  is inversely proportional to pres-
                  sure. For example, an ideal gas at  1,000 psia has a  compressibility of  1/1,000
                  or 1,000 x   psi-’. However, natural hydrocarbon gases are not ideal gases and
                  the  compressibility factor, z,  is  a  function of pressure as  seen in  Figure  5-18
                  [17].  At  low pressures, z decreases as pressure increases and dz/dp  is negative;
                  thus, cg is higher than that of an ideal gas. At high pressures, dz/dp  is positive
                  since z  increases, and cs is less than that of a perfect gas.
                    Compared to other flwds or to reservoir rock, the compressibility of natural gas
                  is large; cg ranges from about 1,000 x   psi-’ at 1,000 psi to about 100 x   psi-’
                  at 5,000 psi [227]. Compressibility of natural gases can be obtained from laboratory
                  PVT data or estimated from the  correlations given by  Trube [27]  (see Figures
                  5-19a and  5-19b). Trube defined  the  pseudo-reduced compressibility of  a  gas,
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