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Abnormal pore pressure mechanisms  243


              of overpressure. In the formation with undercompaction, porosity and pore
              pressure are higher than those in the normally compacted formation.
                 To predict abnormal pore pressure generated by compaction disequi-
              librium, one needs to obtain the porosity under normal compaction
              condition. It is commonly accepted that porosity decreases exponentially as
              depth increases in normally compacted formations (e.g., Athy, 1930):

                                         f ¼ f e  cZ                      (7.5)
                                          n
                                               0
              where f n is the porosity in normally compacted formation; f 0 is the
              porosity of the mudline; Z is the true vertical depth below the mudline;
              c is the compaction constant in 1/m or 1/ft.
                 This relation has been widely applied because in many shales and some
              sandstones, normal porosity profiles generally show a concave downward
              curvature (Fig. 2.5), as described in Eq. (7.5). A similar relationship
              (Eq. 2.17) exists between porosity and effective stress (e.g., Dutta, 2002;
              Flemings et al., 2002; Zhang, 2011). Using porosity, effective stress, and
              pore pressure relationship, the pore pressure can be obtained from porosity
              data based on compaction equilibrium theory (Zhang, 2011; Zhang and
              Wieseneck, 2011). Fig. 7.7 presents an example on how to use compaction
              disequilibrium to calculate pore pressure. Firstly, bulk density or sonic log in
              offset wells are analyzed to obtain the porosity in normally compacted
              shales, including to pick shale formations from the gamma ray log and
              calculate porosity from bulk density log in the picked shales (e.g., Eq. 2.6).
              By doing so, the porosity points of shales at different depths can be obtained
              (the black points as shown in Fig. 7.7). The normal compaction trendline
              (NCT) can be obtained (f n ¼ 0.46e  0.001118Z , Z is in meters) from
              Eq. (7.5) based on the shallow porosity data. Fig. 7.7 plots the porosity
              variations with depth compared to the NCT in both linear and logarithmic
              scales. It shows that the shale is in normal compaction condition when
              depth is less than 3200 m. From 3200 to 3600 m, the formations are slightly
              undercompacted with a higher porosity than the normal compaction trend.
              This implies that the pore pressure gradient starts to increase. The porosity
              at depth of >3600 m is significantly higher than the normal compaction
              trend, and the pore pressure is highly overpressured (Fig. 7.7) (refer to
              Chapter 8 for more details in pore pressure calculations).

              7.2.2 Overpressures from hydrocarbon generation
              Generation of liquid and gaseous hydrocarbons from kerogen maturation is
              kinetically controlled and dependent on a combination of time and
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