Abstract
A statistical theory and a thermodynamic analogy based on a grand canonical ensemble of mass displacement processes have been developed and are applied to fingering processes in homogeneous porous media. Relevant stability conditions are deduced and discussed according to the two approaches involving fluid displacement in homogeneous porous media. The conditions for stable fingering found for oil-water displacement processes involve the capillary pressure and the mobility ratio. It is shown that stable fingers are not possible if the capillary pressure is neglected. The theoretical results are then compared with earlier theoretical findings and with experimental observations. It is demonstrated that these theoretical stability conditions of mass displacement processes are indeed applicable to fingering processes in homogeneous porous media.
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