MULTIGRID HOMOGENIZATION OF HETEROGENEOUS POROUS MEDIA

Dendy, J.E. ; Moulton, J.D.

Los Alamos National Laboratory

关键词: Forecasting;    Mathematical Models;    Fluid Flow;    Porous Materials;    58 Geosciences;   

DOI  :  10.2172/765263
RP-ID  :  LA-UR-00-4891
RP-ID  :  W-7405-ENG-36
RP-ID  :  765263

美国|英语

来源: UNT Digital Library

【 摘 要 】

This is the final report of a three-year, Laboratory-Directed Research and Development (LDRD) project at the Los Alamos National Laboratory (LANL); this report, however, reports on only two years research, since this project was terminated at the end of two years in response to the reduction in funding for the LDRD Program at LANL. The numerical simulation of flow through heterogeneous porous media has become a vital tool in forecasting reservoir performance, analyzing groundwater supply and predicting the subsurface flow of contaminants. Consequently, the computational efficiency and accuracy of these simulations is paramount. However, the parameters of the underlying mathematical models (e.g., permeability, conductivity) typically exhibit severe variations over a range of significantly different length scales. Thus the numerical treatment of these problems relies on a homogenization or upscaling procedure to define an approximate coarse-scale problem that adequately captures the influence of the fine-scale structure, with a resultant compromise between the competing objectives of computational efficiency and numerical accuracy. For homogenization in models of flow through heterogeneous porous media, We have developed new, efficient, numerical, multilevel methods, that offer a significant improvement in the compromise between accuracy and efficiency. We recently combined this approach with the work of Dvorak to compute bounded estimates of the homogenized permeability for such flows and demonstrated the effectiveness of this new algorithm with numerical examples.