Abstract
An Eulerian-Lagrangian localized adjoint method (ELLAM) is presented for compressible flow occurring in compressible porous media with wells. The ELLAM scheme symmetrizes the governing transport equation, greatly eliminates non-physical oscillation and/or excessive numerical dispersion present in many large-scale simulators widely used in industrial applications, and conserves mass. Computational experiments show that the ELLAM scheme can accurately simulate incompressible and compressible fluid flows in porous media with wells, even though coarse spatial grids and very large time steps, which are one or two orders of magnitude larger than those used in many numerical methods, are used. The ELLAM scheme can treat large mobility ratios, discontinuous permeabilities and porosities, anisotropic dispersion in tensor form, and wells.
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© 2000 Springer-Verlag Berlin Heidelberg
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Wang, H., Liang, D., Ewing, R.E., Lyons, S.L., Qin, G. (2000). An Accurate Approximation to Compressible Flow in Porous Media with Wells. In: Chen, Z., Ewing, R.E., Shi, ZC. (eds) Numerical Treatment of Multiphase Flows in Porous Media. Lecture Notes in Physics, vol 552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45467-5_27
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DOI: https://doi.org/10.1007/3-540-45467-5_27
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