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52  Formulas and calculations for petroleum engineering



              1.117 Roach plot for abnormally pressured gas reservoirs

              Input(s)
                 p i /Z i :  Initial P/z Ratio (psi)
                 c t :  Rock Compressibility (1/psi)
                 G p :  Gas Produced (SCF)
                 G:   Gas in Place (SCF)

              Output(s)

                 p :  Current P/z Ratio (psi)
                 Z
              Formula(s)



                                                   p     p i         G p
                                                    ¼           1
                                                   Z    Z   c        G
                                                         i  t
              Reference: Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3,
              Page: 213.

              1.118 Rock expansion term in abnormally pressured gas reservoirs

              Input(s)
                 c f :  Formation Compressibility (1/psi)
                 c w :  Water Compressibility (1/psi)
                 S wi :  Initial Water Saturation (fraction)


              Output(s)
                 E R :  Rock Expansion Term (1/psi)


              Formula(s)

                                                            c + c   S
                                                             f  w   wi
                                                        E ¼
                                                         R
                                                              1 S
                                                                  wi
              Reference: Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3,
              Page: 213.

              1.119 Shape factor—Earlougher

              Input(s)
                 m:   Slope of Transient Semi-log Straight Line (psi/log cycle)
                  0
                 m :  Slope of Semi-steady State Cartesian Straight Line (psi/h)
                 P 1hr :  Pressure at t ¼ 1 h from Transient Semi-log Straight Line (psi)
                 P :  Pressure at t ¼ 0 from Pseudo-steady State Cartesian Straight Line (psi)
                  Ð
              Output(s)

                 C A :  Shape Factor (dimensionless)
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