A General Formulation for Simulating Physical Dispersion and a New Nine-Point Scheme
- 1 February 1991
- journal article
- Published by Society of Petroleum Engineers (SPE) in SPE Reservoir Engineering
- Vol. 6 (01) , 115-120
- https://doi.org/10.2118/16975-pa
Abstract
Summary: This paper presents a general numerical formulation for simulating physical dispersion that avoids the convergence and grid-orientation problems associated with numerical dispersion. The formulation is applicable to a wide range of problems, including enhanced gasdrives with phase discontinuities. A new nine-point scheme is also presented, along with general rules for any nine-point scheme to obey Darcy's law. Converged solutions are obtained for displacements at adverse mobility ratios of 5, 000 with no grid-orientation effects.Keywords
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