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Buckley-Leverett Flow In Composite Porous Media

Y.-S. Wu, Karsten Pruess, Z.X. Chen

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Abstract This paper presents a Buckley-Leverett-type analytical solution for one-dimensional immiscible displacement in a linear composite porous medium. The classical Buckley-Leverett theory, applicable only to flow in a homogeneous porous medium, has been extended to flow in an inhomogeneous porous medium, in which the formation system is treated as consisting of a number of flow domains with different rock probes. The analytical solution, obtained under the conditions for the Buckley-Leverett solution for each flow domain, can be used to determine the complete saturation profile in the composite system at all times. The analytical results indicate that noncapillary immiscible displacement of two fluids in a composite system is characterized by discontinuities in saturation profiles across the interfaces between adjacent flow domains. Introduction Immiscible flow and displacement of multiple phase fluids in porous media are of fundamental importance to many problems relating to underground natural resource recovery and to storage projects, and waste disposal and contamination transport evaluation. Immiscible and miscible flow of multiple phase fluids through porous media, as compared with single phase flow, is much more complicated and is not well understood in many phase flow, is much more complicated and is not well understood in many areas due to the complex interactions of the different fluid phases. Many contributions to this subject have been made since the 1940's. In the petroleum industry, the simultaneous flow of oil, gas and water in petroleum industry, the simultaneous flow of oil, gas and water in reservoirs is important in connection with the production of oil and gas. The flow of moisture in unsaturated soils (i.e., the simultaneous flow of water and air) is often encountered in soil science. Multiple phase flow of water, hydrocarbons, air and chemicals is also involved in evaluating problems of underground contamination.