On the causes of pressure oscillations in low-permeable and low-compressible porous media

被引：96

作者：

Haga, Joachim Berdal ^{[1
,2
]}

Osnes, Harald ^{[1
,2
]}

Langtangen, Hans Petter ^{[1
,3
]}

机构：

[1] Simula Res Lab, Dept Comp Sci, N-1325 Lysaker, Norway

[2] Univ Oslo, Dept Math, N-0316 Oslo, Norway

[3] Univ Oslo, Dept Informat, N-0316 Oslo, Norway

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS | 2012年 / 36卷 / 12期

关键词：

Biot's consolidation; pressure oscillations; elastic locking; low-permeable media; finite elements; FINITE-ELEMENT APPROXIMATIONS; CONSOLIDATION; FLOW; POROELASTICITY; BEHAVIOR;

D O I：

10.1002/nag.1062

中图分类号：

P5 [地质学];

学科分类号：

0709 ; 081803 ;

摘要：

Nonphysical pressure oscillations are observed in finite element calculations of Biot's poroelastic equations in low-permeable media. These pressure oscillations may be understood as a failure of compatibility between the finite element spaces, rather than elastic locking. We present evidence to support this view by comparing and contrasting the pressure oscillations in low-permeable porous media with those in low-compressible porous media. As a consequence, it is possible to use established families of stable mixed elements as candidates for choosing finite element spaces for Biot's equations. Copyright (c) 2011 John Wiley & Sons, Ltd.

引用

页码：1507 / 1522

页数：16

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