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188 Formulas and calculations for petroleum engineering



              3.28   Dimensionless shut-in time for MDH method

              Input(s)
                 k:  Permeability (mD)
                 Dt:  Total Shut-in Time (day)
                 ø:  Porosity (fraction)
                 m:  Viscosity (cP)
                 c t :  Total Compressibility (1/psi)
                                    2
                 A:   Drainage Area (ft )

              Output(s)
                 Dt DA :  Dimensionless Shut-in Time (dimensionless)


              Formula(s)

                                                          0:0002637   k   Dt
                                                    Dt DA  ¼
                                                             ø   m   c   A
                                                                   t
              Reference: Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 1,
              Page: 59.

              3.29   Dimensionless storage constant for gases

              Input(s)
                  0                            2 2
                 C :  Wellbore Storage (tons/(kg/cm ) )
                 Z:  Real Gas Law Deviation Factor (ratio)
                 T:  Absolute Formation Temperature (°K)
                 M:   Molecular Weight (g/g mol)
                 ∅:   Porosity (Per cent)
                 h:  Net Formation Thickness (m)
                                                                     2  1
                 c t :  Total System Effective Isothermal Compressibility (kg/cm )
                 r w :  Well Radius (m)

              Output(s)
                 C D :  Dimensionless Storage Constant for Gases (dimensionless)


              Formula(s)

                                                                 0
                                                             27C ZT
                                                        C ¼
                                                          D         2
                                                             M∅hc r
                                                                  t w
              Reference: Ramey Jr., H. J. (1981). Reservoir Engineering Assessment of Geothermal Systems. Department of Petroleum
              Engineering, Stanford University, Page: (5.18).


              3.30   Dimensionless storage constant for liquids
              Input(s)

                 C:   Storage
                 B:  Formation Volume Factor (Reservoir Volume/Standard Volume)
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