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An ELLAM-MFEM Solution Technique for Compressible Fluid Flows in Porous Media with Point Sources and Sinks
, 2000
"... this paper we develop an ELLAM-MFEM solution procedure for compressible uid ows in porous media with point sources and sinks, which have much stronger coupling and nonlinearity than incompressible uid ows. In the ELLAMMFEM solution procedure, we use an ELLAM scheme for the transport equation and an ..."
Abstract
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this paper we develop an ELLAM-MFEM solution procedure for compressible uid ows in porous media with point sources and sinks, which have much stronger coupling and nonlinearity than incompressible uid ows. In the ELLAMMFEM solution procedure, we use an ELLAM scheme for the transport equation and an MFEM method for the pressure equation, and derive an iterative procedure for the system of compressible uid ow. The ELLAM-MFEM solution procedure can simulate compressible uid ow in porous media accurately with coarse spatial grids and very large time steps, which are much larger than the time steps used in the MMOC-MFEM sequential solution procedure and one or two orders of magnitude larger than those used in many large-scale simulators. In this manner, the ELLAM-MFEM solution technique has a greatly improved computational eciency over many other methods. The ELLAM-MFEM technique can treat large adverse mobility ratios, discontinuous permeabilities and porosities, anisotropic dispersion in tensor form, compressible uid, heterogeneous media, and point sources and sinks.
