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258                      MATHEMATICAL MODELING IN PETROLEUM GEOLOGY

















































           Fig. 11.29. Relationship between porosity and depth of burial for various types of sediments and rocks
           (after Buryakovsky et al., 2001). (a) Sandstones, (b) siltstones in the fields of the NW portion of the South
           Caspian Basin: 1 – Dzhanub, 2 – Zyrya, 3 – Surakhany, 4 – Karachukhur, 5 – Zykh, 6 – Gum Deniz,
           7 – Gousany, 8 – Bukhta I1’icha, 9 – Patamdar, 10 – Karadag, 11 – Padar, 12 – Kyurovdag,
           13 – Karabagly, 14 – Kalmas. (c) Carbonates in the following regions: 1 – Scythian Plate, Upper Cretaceous
           limestones; 2 – Western Kuban Trough, Upper Devonian limestones; 4-8 – Southern Florida, Cenozoic and
           Mesozoic carbonates: 4 – average, 5 – Eocene, 6 – Paleocene, 7 – limestone, 8 – dolomite, 9-10 – deepwater
           carbonate mud, 11-12 – chalk. (d) Argillaceous sediments and rocks by: 1 – Proshlyakov; 2 – Meade;
           3 – Athy; 4 – Hosoi; 5 – Hedberg; 6 – Dickinson; 7 – Magara; 8 – Weller; 9 – Ham; 10 – Foster and Whalen.


           sediments with depth (Fig. 11.29). As shown in Fig. 11.29, all curves may be de-
           scribed by an exponent, which suggests a single concept for solution of the problem
           of mathematical simulation of the process of compaction and lithification of se-
           diments and prediction of the properties of rocks (Buryakovsky, 1993).
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