Numerical well model for non-Darcy flow through isotropic porous media

被引：62

作者：

Ewing, RE ^{[1
]}

Lazarov, RD

Lyons, SL

Papavassiliou, DV

Pasciak, J

Qin, G

机构：

[1] Texas A&M Univ, Inst Sci Computat, College Stn, TX 77843 USA

[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[3] Mobil Technol Co, Upstream Strateg Res Ctr, Dallas, TX 75244 USA

来源：

COMPUTATIONAL GEOSCIENCES | 1999年 / 3卷 / 3-4期

关键词：

Forchheimer flow; well models; porous media; finite element; mixed finite element;

D O I：

10.1023/A:1011543412675

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Numerical simulation of fluid flow in a hydrocarbon reservoir has to account for the presence of wells. The pressure of a grid cell containing a well is different from the average pressure in that cell and different from the bottom-hole pressure for the well [17]. This paper presents a study of grid pressures obtained from the simulation of single phase flow through an isotropic porous medium using different numerical methods. Well equations are proposed for Darcy flow with Galerkin finite elements and mixed finite elements. Furthermore, high velocity (non-Darcy) flow well equations are developed for cell-centered finite difference, Galerkin finite element and mixed finite element techniques.

引用

页码：185 / 204

页数：20