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A general formulation for simulating physical dispersion and a new nine-point scheme

Journal Article · · SPE (Society of Petroleum Engineers) Reservoir Engineering; (United States)
DOI:https://doi.org/10.2118/16975-PA· OSTI ID:5738816
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.
OSTI ID:
5738816
Journal Information:
SPE (Society of Petroleum Engineers) Reservoir Engineering; (United States), Journal Name: SPE (Society of Petroleum Engineers) Reservoir Engineering; (United States) Vol. 6:1; ISSN SREEE; ISSN 0885-9248
Country of Publication:
United States
Language:
English