Page 147 - Hydrocarbon Exploration and Production Second Edition
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134                                                          Reservoir Fluids


          this point. The OBP is in fact balanced by a combination of the fluid pressure in the
          pore space (FP) and the stress between the rock grains of the matrix (s g ).

                                       OBP ¼ FP þ s g
             At a given depth, the OBP remains constant (at a gradient of approximately
          1 psi/ft), so that with production of the reservoir fluid, the fluid pressure decreases,
          creating an increase in the grain-to-grain stress. This may result in the grains of rock
          crushing closer together, providing a small amount of drive energy (compaction
          drive) to the production. In extreme cases of pressure depletion in poorly compacted
          rocks this can give rise to a reduction in the thickness of the reservoir, leading
          ultimately to surface subsidence. This has been experienced in the Groningen gas
          field in the Netherlands (approximately 1 m of subsidence), and more dramatically in
          the Ekofisk Field in the Norwegian sector of the North Sea (around 6 m subsidence),
          as mentioned in Section 6.1.3.
             In a normal pressure regime, the pressure in a hydrocarbon accumulation is
          determined by the pressure gradient of the overlying water (dP/dD) w , which ranges
          from 0.435 psi/ft (10 kPa/m) for freshwater to around 0.5 psi/ft (11.5 kPa/m) for
          salt-saturated brine. At any depth (D), the water pressure (P w ) can be determined
          from the following equation, assuming that the pressure at the surface datum is
          14.7 psia (1 bara):

                                       dP
                                 P w ¼      D   ðpsiaÞ or ðbaraÞ
                                       dD
                                           w
                                                                          3
             The water pressure gradient is related to the water density (r w , kg/m ) by the
          following equation:

                                       dP
                                            r g ðPa=mÞ
                                             w
                                       dD
                                           w
                                                    2
          where g is acceleration due to gravity (9.81 m/s ).
             Hence it can be seen that from the density of a fluid, the pressure gradient may
          be calculated. Furthermore, the densities of water, oil and gas are so significantly
          different that they will show quite different gradients on a pressure–depth plot.
             This property is useful in helping to define the interface between fluids. The
          intercept between the gas and oil gradients indicates the GOC, whilst the intercept
          between the oil and water gradients indicates the free water level (FWL) which is
          related to the oil–water contact (OWC) via the transition zone, as described in
          Section 6.2.9.
             The gradients may be calculated from surface fluid densities, or may be directly
          measured by downhole pressure measurements using a formation pressure testing
          tool (discussed in Section 6.3.6). The interfaces predicted can be used to confirm
          wireline measurements of fluid contact, or to predict interfaces when no logs have
          directly found the contacts.
             For example, in the following situation, two wells have penetrated the same
          reservoir sand. The updip well finds the sand gas bearing, with gas down to (GDT)
          the base of the sands, whilst the downdip well finds the same sand to be fully oil
          bearing, with an oil up to (OUT) at the top of the sand. Pressures taken at intervals in
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