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dc.contributor.authorDouglas, Jen_US
dc.contributor.authorPereira, Fen_US
dc.contributor.authorYeh, LMen_US
dc.date.accessioned2014-12-08T15:45:50Z-
dc.date.available2014-12-08T15:45:50Z-
dc.date.issued2000en_US
dc.identifier.issn1420-0597en_US
dc.identifier.urihttp://hdl.handle.net/11536/30825-
dc.identifier.urihttp://dx.doi.org/10.1023/A:1011551614492en_US
dc.description.abstractEulerian-Lagrangian and Modified Method of Characteristics (MMOC) procedures provide computationally efficient techniques for approximating the solutions of transport-dominated diffusive systems. The original MMOC fails to preserve certain integral identities satisfied by the solution of the differential system; the recently introduced variant, called the MMOCAA, preserves the global form of the identity associated with conservation of mass in petroleum reservoir simulations, but it does not preserve a localized form of this identity. Here, we introduce an Eulerian-Lagrangian method related to these MMOC procedures that guarantees conservation of mass locally for the problem of two-phase, immiscible, incompressible flow in porous media. The computational efficiencies of the older procedures are maintained. Both the original MMOC and the MMOCAA procedures for this problem are derived from a nondivergence form of the saturation equation; the new method is based on the divergence form of the equation. A reasonably extensive set of computational experiments are presented to validate the new method and to show that it produces a more detailed picture of the local behavior in waterflooding a fractally heterogeneous medium. A brief discussion of the application of the new method to miscible flow in porous media is included.en_US
dc.language.isoen_USen_US
dc.subjecttwo-phase flowen_US
dc.subjecttransport-dominated diffusion processesen_US
dc.subjectwaterfloodingen_US
dc.subjectmiscible flowen_US
dc.subjectmodified method of characteristicsen_US
dc.titleA locally conservative Eulerian-Lagrangian numerical method and its application to nonlinear transport in porous mediaen_US
dc.typeArticleen_US
dc.identifier.doi10.1023/A:1011551614492en_US
dc.identifier.journalCOMPUTATIONAL GEOSCIENCESen_US
dc.citation.volume4en_US
dc.citation.issue1en_US
dc.citation.spage1en_US
dc.citation.epage40en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000086785500001-
dc.citation.woscount40-
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