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178   Applied Petroleum Geomechanics


                                 In-situ stress, pressure (psi)
                          0    2000   4000  6000  8000  10000  12000
                      8000
                                                  Pp depletion
                                                  Sh depletion
                                                  SH depletion
                      8500                        DFIT closure pressure
                                                  DFIT pore pressure
                                                  Depleted H1 pressure
                                                  Orig. OB well pressures
                      9000                 Pp   Sh   SH  Sv
                    Depth TVD (ft)  9500  Mid Bakken  HydrostaƟc

                           Lodgepole

                     10000

                           Three Forks
                     10500

                     11000
          Figure 5.11 Measured and estimated pore pressure and in situ stresses with 4285 psi
          production depletion in the Middle Bakken reservoir from the DFIT and pressure
          gauge measurements (symbols in the figure). DFITs were performed in the Bakken and
          Three Forks formations (without depletion) in the observation and nearby wells. Gauge
          pressure measurements are also plotted for the depleted pressure in the production
          well and undepleted pressures in three observation (OB) vertical wells (Dohmen et al.,
          2014).





          (A)                              (B)
            10000  Un-depleted               14000  Un-depleted
           Minimum horizontal stress (psi)   6000  Minimum horizontal stress (psi)   10000
                 Depleted or refrac
                                             12000
                                                   Refrac, depleted
            8000
                                             8000
                                             6000
            4000
                                             4000
            2000
              0                              2000 0
               0   2000  4000  6000  8000  10000  0  2000  4000  6000  8000 10000 12000 14000
                     Reservoir pore pressure (psi)    Reservoir pore pressure (psi)
          Figure 5.12 Measured minimum horizontal stresses as a function of the reservoir
          pressure and depletion. (A) The Middle Bakken and Three Forks reservoirs; (B) tight
          sandstone of the Vicksburg formation.
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