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52     PETROPHYSICS: RESERVOIR ROCK PROPERTIES























                     Figure 2.9. Displacement of an oil droplet through a pore throat in a water-wet rock


                       The two forces in a reservoir that are most likely to be operating on
                     the droplet are buoyancy and hydrodynamic pressure, neither of which
                     are normally sufficient to dislodge an isolated droplet of oil.
                       The dispfacement pressure due to buoyancy is expressed as:





                     where: Z, = height of the oil column.
                             gc = gravitational constant, 9.81 m/s2.
                             pw = water density, kg/m3.
                             po = oil density, kg/m3.
                             Pd = displacement pressure, Pa.

                       Since the combined buoyant and hydrodynamic pressure acting on
                     an isolated droplet are insufficient to exceed the displacement pressure
                     required by  the capillary forces,  isolated drops of  oil cannot migrate
                     under the influence of these forces alone [ 141.
                       As the oil leaves the source rock under the forces of compaction, large
                     saturations develop at the entry to the reservoir rock. The oil then begins
                     to migrate upward as a continuous phase in long filaments within the
                     pores. Under these circumstances, sufficient buoyant and hydrodynamic
                     forces can develop to cause migration of the oil.
                       It also has been suggested that oil migration may occur by molecular
                     solution of oil in water that is in motion, or by colloidal soIution brought
                     about by  surfactants present in  petroleum.  Both  theories have  been
                     challenged because the solubility  of oil molecules in water is extremely
                     low and the actual concentration of surfactant-type molecules in crude
                     oils is very small [9, 171. Leaching of sand containing discrete droplets
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