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Well test analysis formulas and calculations Chapter  3  183



             Formula(s)

                                                             m   c
                                                              gi  gi
                                                        l ¼
                                                                 c
                                                           m gavg  gavg
             Reference: Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3,
             Page: 256.

             3.17    Dimensionless length (linear flow constant rate production/hydraulically
             fractured wells)

             Input(s)

                x:   Length of Flow (ft)
                L f :  Half Length of Fracture (ft)

             Output(s)

                L D :  Dimensionless Length (dimensionless)

             Formula(s)

                                                                x
                                                           L ¼
                                                            D
                                                               L
                                                                f
             Reference: Lee, J., Rollins, J. B., & Spivey, J. P. (2003). Pressure Transient Testing (Vol. 9). Richardson, Texas: Society of
             Petroleum Engineers, Page: 10.


             3.18    Dimensionless length (linear flow/constant-rate production/general case)
             Input(s)

                x:   Fracture Length (ft)
                A:   Cross Sectional Area (ft)


             Output(s)
                x D :  Dimensionless Length (dimensionless)


             Formula(s)
                                                                x
                                                          x ¼
                                                           D
                                                               A 0:5
             Reference: Lee, J., Rollins, J. B., & Spivey, J. P. (2003). Pressure Transient Testing (Vol. 9). Richardson, Texas: Society of
             Petroleum Engineers, Page: 9.

             3.19    Dimensionless pressure (linear flow/constant rate production/general case)

             Input(s)
                p i :  Initial Reservoir Pressure (psi)
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