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158                         FORMATION OF HYDROCARBON ACCUMULATIONS

           equalization). Quantitatively, diffusion can be described by Fick’s law for gases:

                    wAbðC 1   C 2 Þ
               Q ¼
                         h
           where Q ¼ the volumetric rate of diffusion, w ¼ the diffusion coefficient, A ¼ the
           cross-sectional area, b ¼ the solubility or sorption coefficient, and h ¼ the bed
           thickness. The bðC 1   C 2 Þ=h is called the gradient of concentration.
             At least two indirect ways for diffusion to participate in the formation of
           hydrocarbon accumulations have been proposed:
           1. The water within a source rock is being saturated with liquid hydrocarbons. This
             water, upon moving into a reservoir rock, with a different thermodynamic and
             geochemical environment, releases the dissolved hydrocarbons. The dissolution is
             possible if the water is (1) alkaline, (2) CO 2 -saturated, and (3) heated to 120–1501C.
             A high concentration of hydrocarbons within the source rocks and their ability to
             saturate the water at lower temperatures (o120–1501C) are in doubt. Besides, in
             such a case the hydrocarbon-saturated water would be observed in the oil and gas
             basins, especially next to the source rocks, which is not the case.
           2. Thermal diffusion (Geodekian et al., 1984) results in fractionation of the
             diffusion flow and in the concentration of heavier hydrocarbons near the cooler
             edge. In the opinion of the writers, however, the thermal diffusion is in effect a
             superposition of different phenomena: the thermal fractionation (separation) and
             diffusive equalization of fractions. Thus, the diffusion proper equalizes the
             composition. As far as the thermal fractionation is concerned, it is widely used in
             refinery operations.



           9.3. PRIMARY ACCUMULATION AND FREE PHASE MIGRATION (‘‘SECONDARY
           MIGRATION’’)

             A concept of the active liquid oil migration from the source rocks was extensively
           discussed. It is not simply the squeezing-out of separate oil droplets, which is a
           complex process in a natural environment. The concept assumes the release of liquid
           phase as streams (Savchenko, 1977). Through this migration mechanism the
           accumulation can occur already within the source rocks (possibly via the film
           mechanism as described above). The major objection to this migration mechanism is
           the absence in nature of source rocks (even assumed ones) with a high concentration
           of residual oil.
             Shklovskiy (in: Eremenko and Chilingar, 1996) developed a flow model for an
           infinite cluster. Experimental studies by Efros (1982) indicated that the flow
           threshold exists at about 15–20% of residual oil saturation. If oil and water are
           present in a good reservoir rock, the relative permeability to oil tends to zero at the
           oil saturation of 15–25% (depending on the oil and water viscosity under reservoir
           conditions). Even in very good reservoir rocks, at least 25% of the oil is left behind
           after production. In poorly permeable rocks (usually, the assumed source rocks
           belong in this group) the residual oil saturation is over 70%.
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