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45     Pore pressure at depth in sedimentary basins


                 There are two circumstances in which estimation of pore pressure from geophysical
               data is very important. First, is the estimation of pore pressure from seismic reflection
               data in advance of drilling. This is obviously needed for the safe planning of wells
               being drilled in areas of possible high pore pressure. Second, is estimation of the pore
               pressure in shales even after wells are drilled, which tend to be so impermeable that
               direct measurement is quite difficult. In the sections below, we discuss how geophysical
               logging data (augmented by laboratory measurements on core, when available) are used
               to estimate pore pressure in shales. In both cases, techniques which have proven to work
               well in some areas have failed badly in others. We discuss the reasons why this appears
               to be the case at the end of the chapter.
                 Most methods for estimating pore pressure from indirect geophysical measurements
               are based on the fact that the porosity (φ)of shale is expected to decrease monotonically
               as the vertical effective stress (S v −P p ) increases. The basis for this assumption is
               laboratory observations such as that shown in Figure 2.13 (Finkbeiner, Zoback et al.
               2001) which shows the reduction in porosity with effective stress for a shale sample
               from SEI 330 field. It should be noted that these techniques are applied to shales (and
               not sands or carbonates) because diagenetic processes tend to make the reduction of
               porosity with effective confining pressures in sands and carbonates more complicated
               than the simple exponential decrease illustrated in Figure 2.13.If one were attempting
               to estimate pore pressure from seismic data before drilling in places like the Gulf of
               Mexico, for example, one would first estimate pore pressure in shales using techniques
               such as described below, and then map sand bodies and correct for the centroid effect,
               as illustrated in Figure 2.12.
                 There are basically two types of direct compaction experiments used to obtain the
               type of data shown in Figure 2.13: hydrostatic compression tests in which the applied
               stress is a uniform confining pressure and an impermeable membrane separates the pore
               volume of the rock from the confining pressure medium; and confined compaction tests
               in which the sample is subjected to an axial load while enclosed in a rigid steel cylinder
               that prevents lateral expansion of the sample. The data shown in Figure 2.13 were
               collected with the latter type of apparatus because it was thought to be more analogous
               to vertical loading in situ. Note that the application of moderate effective stresses results
               in a marked porosity reduction. If we assume an overburden gradient of ∼23 MPa/km
               (1 psi/ft), if hydrostatic pore pressure is encountered at depth, the vertical effective
               stress would be expected to increase at a rate of 13 MPa/km. Correspondingly, shale
               porosity would be expected to decrease from ∼0.38 near the surface to ∼0.11 at depths
               of approaching 3km (∼10,000 ft). As indicated in the figure, in the case of moderate
               and high overpressure (λ p = 0.65 and λ p = 0.8), respectively higher porosities would
               be encountered at the same depth. It should also be noted that one can empirically
               calibrate porosity as a function of effective stress data in areas with known overburden
               and pore pressure.
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