The overburden pressure, hydrostatic pressure and normally compacted shale velocity are theoretical values or empirically derived from relevant well data, whereas the interval velocity is derived from seismic processing velocities using the Dix formula.
Modelled input cubesParadigm's software was used for the manipulation of the various input cubes into the pressure prediction. A 3D overburden pressure vs. depth model was derived from a modelled porosity cube. This (shale) porosity cube was generated using a compaction curve below sea bottom (to allow for variable water depths), and was subsequently transformed into a density cube using a density-porosity relation empirically derived from well data. Integration of the density cube over depth resulted in the overburden pressure cube P ob . The hydrostatic pressure cube P hyd was made using an assumed hydrostatic gradient of 0.45 psi/ft and depth from MSL.The normal velocity cube V n was based on Wyllie's Time-Average equation for sonic rocks, which establishes a connection between transit time for the rock (∆T norm ) and transit time for the matrix (∆T matrix ) and fluid (∆T fluid ):
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