Mortar upscaling for multiphase flow in porous media

被引:94
作者
Peszynska, M [1 ]
Wheeler, MF
Yotov, I
机构
[1] Univ Texas, Texas Inst Computat & Appl Math, Austin, TX 78712 USA
[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA
基金
美国国家科学基金会;
关键词
fully implicit; mixed finite element method; mortar spaces; multiblock; multiphase flow; multiphysics; porous media; upscaling;
D O I
10.1023/A:1016529113809
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In mortar space upscaling methods, a reservoir is decomposed into a series of subdomains (blocks) in which independently constructed numerical grids and possibly different physical models and discretization techniques can be employed in each block. Physically meaningful matching conditions are imposed on block interfaces in a numerically stable and accurate way using mortar finite element spaces. Coarse mortar grids and fine subdomain grids provide two-scale approximations. In the resulting effective solution flow is computed in subdomains on the fine scale while fluxes are matched on the coarse scale. In addition the flexibility to vary adaptively the number of interface degrees of freedom leads to more accurate multiscale approximations. This methodology has been implemented in the Center for Subsurface Modeling's multiphysics multiblock simulator IPARS (Integrated Parallel Accurate reservoir Simulator). Computational experiments demonstrate that this approach is scalable in parallel and it can be applied to non-matching grids across the interface, multinumerics and multiphysics models, and mortar adaptivity. Moreover unlike most upscaling approaches the underlying systems can be treated fully implicitly.
引用
收藏
页码:73 / 100
页数:28
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