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240   Applied Petroleum Geomechanics


                                       Gradient (SG)
                              1.0  1.2  1.4  1.6  1.8  2.0  2.2  2.4
                             0
                           500                   Lithostatic gradient

                          1000           Fracture
                         Depth TVD (m)  1500   gradient   Casing


                          2000
                          2500

                          3000        Mud weight
                                   Pore pressure
                          3500     gradient
                          4000
          Figure 7.5 Pore pressure gradient, fracture gradient, overburden stress gradient
          (lithostatic gradient), mud weight, and casing shoes with depth. In this figure pore
          pressure and overburden gradients are converted from the pore pressure and over-
          burden stress plotted in Fig. 7.4 (Zhang, 2011).


          Table 7.2 Conversions of pore pressure gradients in the metric and the US unit
          systems.
          Conversions                          Conversions
                3
          1 g/cm ¼ 9.81 MPa/km                 1 ppg ¼ 0.051948 psi/ft
                3
          1 g/cm ¼ 0.00981 MPa/m               1 ppg ¼ 0.12 g/cm 3
                3
          1 g/cm ¼ 1 SG                        1 ppg ¼ 0.12 SG
          1 MPa/km ¼ 0.102 SG ¼ 0.102 g/cm 3   1 ppg ¼ 1.177 MPa/km
          1 MPa/km ¼ 0.0442 psi/ft             1 ppg ¼ 1.177 kPa/m
                3
          1 g/cm ¼ 8.345 ppg                   1 psi/ft ¼ 19.25 ppg
                3
          1 g/cm ¼ 0.4335 psi/ft               1 psi/ft ¼ 2.31 g/cm 3
          1SG ¼ 8.345 ppg                      1 psi/ft ¼ 22.62 MPa/km
          1SG ¼ 0.4335 psi/ft                  1 psi/ft ¼ 2.31 SG
                              3
          1SG ¼ 62.428 pcf (lb/ft )            1 ppg ¼ 7.4805 pcf

          pressure gradient in the subsurface formation is normally converted to an
          equivalent mud weight (EMW) at surface for display and interpretation. In
          the US unit system, the unit of the pressure gradient is lbs/gallon, or ppg,
          which is a commonly used unit for pressure gradients and mud weight in
          the drilling industry in some countries, such as the United States.
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