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 |