Page 199 - Formulas and Calculations for Petroleum Engineering
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192 Formulas and calculations for petroleum engineering




                 m b :  Slope of Pressure vs Fourth Root of Time (Bi-linear Flow Analysis) (psi/h 0.25 )
                 c t :  Total Compressibility (1/psi)
                 k:  Permeability (mD)
                 h:  Reservoir Thickness (ft)


              Output(s)
                 w f . k f :  Fracture Conductivity (ft mD)


              Formula(s)

                                                                 2             0:5

                                                    44:1   q   m   B     1
                                            w :k ¼
                                             f  f
                                                       h   m b       ø   m   c   k
                                                                           t
              Reference: Lee, J., Rollins, J. B., & Spivey, J. P. (2003). Pressure Transient Testing (Vol. 9). Richardson, Texas: Society of
              Petroleum Engineers, Page: 117.

              3.38   Fracture conductivity during bilinear flow
              Input(s)

                 Q:   Flow Rate (STB/day)
                 B:  Formation Volume Factor (bbl/STB)
                 m:  Viscosity (cP)
                 m bf :  Slope of Bilinear Flow during Build-up Test (psi/cycle)
                 h:  Thickness (ft)
                 ø:  Porosity (fraction)
                 c t :  Total Compressibility (1/psi)
                 k:  Permeability (mD)


              Output(s)
                 F C :  Fracture Conductivity (mD ft)


              Formula(s)

                                                                          ! 2
                                                          44:1   Q   m   B
                                                F ¼                     0:25
                                                 C
                                                      m   h   ø   m   c   kð  Þ
                                                        bf          t
              Reference: Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 1,
              Page: 95.

              3.39   Inflow performance relationship (IPR) for horizontal wells in solution gas-drive
              reservoirs (Fetkovich)

              Input(s)
                 q omax :  Maximum Flow Rate for Maximum Drawdown (STB/day)
                 P wf :  Flowing Bottomhole Pressure (psi)
                 P:  Shut in Pressure or Average Reservoir Pressure (psi)
                 n:  Exponent (dimensionless)
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