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Uncertain Predictions of Flow and Transport in Random Porous Media: The Implications for Process Planning and Control
MRDS INC BELLAIRE TX
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Traditional predictions of flow and transport in porous media are based on mass balance equations in the form of partial differential equations PDEs, where the flux at every point is defined by Darcys law, q -Kdelh, i.e., the flux is proportional to hydraulic head gradient, where K is the hydraulic conductivity of the medium a tensor or a scalar essentially, a material property it is further assumed that Darcys law applies to transient multiphase flow in three dimensions. The solutions of these PDEs constitute groundwater models, oil reservoir simulators, geothermal models, and models of flow and transport in soilsvadosezone. Due to the similarity between the linear Darcys law and Ohms law in electricity, Fourier law in heat conduction, and Hookes law in elasticity, such models or PDE solutions are similar and commonly interchangeable between these fields.
APPROVED FOR PUBLIC RELEASE