Page 73 - Formulas and Calculations for Petroleum Engineering
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66  Formulas and calculations for petroleum engineering



              Formula(s)


                                                      ð r  r Þ   g   k   t BT    f m
                                                                   v
                                                            o
                                                        w
                                                  t ¼
                                                   d
                                                            m   ø   h
                                                             o
                                                                 e
              Reference: Bournazel, C., Jeanson, B. 1971. Fast Water-coning Evaluation Method. SPE AIME, New Orleans, Louisiana.
              1.152 Water breakthrough correlations in vertical wells—Sobocinski and Cornelius
              Input(s)

                 h:  Oil Column Thickness (ft)
                 h t :  Height of the Apex of the Water Cone above the Average Water-Oil Contact (ft)
                 k v :  Vertical Permeability (mD)
                 k h :  Horizontal Permeability (mD)
                 r w :  Water Density (g/cc)
                 m o :  Oil Viscosity (cP)
                 r o :  Oil Density (g/cc)
                 q o :  Oil Production Rate (STB/D)
                 B o :  Oil Formation Volume Factor (RB/STB)
                 a:  Constant Value of 0.5 for M<1 and 0.6 for M between 1 and 10 (RB/STB)
                 M:   Water Oil Mobility Ratio (fraction)
                 t:  Breakthrough Time (days)
                 ø:  Porosity (fraction)


              Output(s)
                 Z:  Dimensionless Cone Height (feet)
                 t D :  Dimensionless Breakthrough Time (days)


              Formula(s)

                                                    0:00307   r  r Þ   k   h   h t
                                                            ð
                                                                  o
                                                                      h
                                                              w
                                                 Z ¼
                                                            m   q   B
                                                             o  o   o
                                                  0:00137   r  r Þ   k   1+ M Þ   t
                                                          ð
                                                                           a
                                                                      ð
                                                                    h
                                                            w
                                                                o
                                              t ¼
                                              D
                                                                    k
                                                          m   ø   h    h
                                                           o
                                                                    k
                                                                     v
              Reference: Sobocinski, D.P., Cornelius, A.J. 1965. A Correlation for Predicting Water Coning Time. SPE ATCE, Houston,
              Texas.
              1.153 Water content of sour gas
              Input(s)
                 y:  Mole Content of Hydrocarbon (fraction)
                 Whc:   Water Content of hydrocarbon Part (fraction)
                 yco:  Mole Content of Carbon Dioxide (fraction)
                 Wco:   Water Content of Carbon Dioxide (fraction)
                 yhs:  Mole Content of Hydrogen Sulfide (fraction)
                 Whs:   Water Content of Hydrogen Sulfide (fraction)
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