Nonlinear Viscoelastic Compaction in Sedimentary Basins

Xin-She Yang
Arxiv ID: 1003.5373Last updated: 1/29/2020
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 p_e and porosity ϕ, that is p_e=p_e(ϕ). 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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