標題: A locally conservative Eulerian-Lagrangian numerical method and its application to nonlinear transport in porous media
作者: Douglas, J
Pereira, F
Yeh, LM
應用數學系
Department of Applied Mathematics
關鍵字: two-phase flow;transport-dominated diffusion processes;waterflooding;miscible flow;modified method of characteristics
公開日期: 2000
摘要: Eulerian-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.
URI: http://hdl.handle.net/11536/30825
http://dx.doi.org/10.1023/A:1011551614492
ISSN: 1420-0597
DOI: 10.1023/A:1011551614492
期刊: COMPUTATIONAL GEOSCIENCES
Volume: 4
Issue: 1
起始頁: 1
結束頁: 40
顯示於類別:期刊論文


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