On the causes of pressure oscillations in low‐permeable and low‐compressible porous media |
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| Authors: | Joachim Berdal Haga Harald Osnes Hans Petter Langtangen |
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| Institution: | 1. Scientific Computing Department, Simula Research Laboratory, , Norway;2. Department of Mathematics, University of Oslo, , Norway;3. Department of Informatics, University of Oslo, , Norway |
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| Abstract: | 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 © 2011 John Wiley & Sons, Ltd. |
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| Keywords: | Biot's consolidation pressure oscillations elastic locking low‐permeable media finite elements |
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