Nonlinear viscoelastic compaction in sedimentary basins
In the mathematical modelling of sediment compaction and porous media flow, the rheological behaviour of sediments is typically modelled in terms of a nonlinear relationship between effective pressure <i>p</i><i>e </i>and porosity <i>Φ</i>, that is <i>p</...
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2000-01-01
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| Series: | Nonlinear Processes in Geophysics |
| Online Access: | http://www.nonlin-processes-geophys.net/7/1/2000/npg-7-1-2000.pdf |
| Summary: | In the mathematical modelling of sediment compaction and porous media flow, the rheological behaviour of sediments is typically modelled in terms of a nonlinear relationship between effective pressure <i>p</i><i>e </i>and porosity <i>Φ</i>, that is <i>p</i><i>e = </i><i>p</i><i>e (Φ)</i>. The compaction law is essentially a poroelastic one. However, viscous compaction due to pressure solution becomes important at larger depths and causes this relationship to become more akin to a viscous rheology. A generalised viscoelastic compaction model of Maxwell type is formulated, and different styles of nonlinear behaviour are asymptotically analysed and compared in this paper. |
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| ISSN: | 1023-5809 1607-7946 |