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Pore pressure prediction and monitoring  285


               (A)                           (B)
                                                        Oil pressure (MPa)
               well4        well3  well2 well1      100 110 120 130 140 150 160 170
                                                5500
                                                         well1
                                                5750     well2
                                                         well3
                                                6000     well4
                                                         oil gradient
                                                6250
                                               Depth (m)  6500  Oil gradient = 0.9 g/cc

                                                6750
                                                7000
                                                7250
                                                7500
                                                7750
                                                8000
              Figure 8.2 Schematic cross section (A) showing four wells in a hydraulically connected
              oil-bearing sandstone compartment and fluid pressures in different wells (B).
              Measured fluid pressures (dots) in these wells match the calculated pore pressures
                                          3
              (line) with an oil gradient of 0.9 g/cm (Zhang, 2011).

                 Pore pressure gradient is different in a formation when it is saturated
              with different fluids. In each fluid column, the pore pressure can be
              calculated using Eq. (8.1) with the density of the fluid saturated in this
              column. Fig. 8.3 displays a hydraulically connected formation filled with
              gas, oil, and water (brine). If fluid pressure at a depth is known; fluid
              densities and depths of watereoil contact (WOC) and oilegas contact
              (OGC) are also known, then the pressures at other depths can be obtained
              by using Eq. (8.1). For instance, the gas pressure at depth A (the crest) can
              be obtained from the following equation:

                                   p A ¼ p B   r gðZ B   Z A Þ            (8.2)
                                              g
              where r g is the in situ gas density; p B is the pore pressure at depth B; p A is
              the pore pressure at depth A.
                 At depth B (oilegas contact), the oil pressure can be obtained from the
              following equation:
                                              o
                                   p B ¼ p C   r gðZ C   Z B Þ            (8.3)
              where r o is the in situ oil density; p C is the pore pressure at depth C.
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