Nonlinear Viscoelastic Compaction in Sedimentary Basins
Geophysics
2020-01-29 v1 Analysis of PDEs
Abstract
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 and porosity , that is . 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.
Cite
@article{arxiv.1003.5373,
title = {Nonlinear Viscoelastic Compaction in Sedimentary Basins},
author = {Xin-She Yang},
journal= {arXiv preprint arXiv:1003.5373},
year = {2020}
}