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Yang 2002
Yang, X. (2002). A mathematical model for voigt poro-visco-plastic deformation. Geophysical Research Letters 29: doi: 10.1029/2001GL014014. issn: 0094-8276.

A mathematical model for poro-visco-plastic compaction and pressure solution in porous sediments has been formulated using the Voigt-type rheological constitutive relation as derived from experimental data. The governing equations reduce to a nonlinear hyperbolic heat conduction equation in the case of slow deformation where permeability is relatively high and the pore fluid pressure is nearly hydrostatic, while travelling wave exists in the opposite limit where overpressuring occurs and the pore fluid pressure is almost quasi-lithostatic. Full numerical simulation using a finite element method agree well with the approximate analytical solutions.

BACKGROUND DATA FILES

Abstract

Keywords
Mathematical Geophysics, Modeling, Mineral Physics, Creep and deformation, Geodesy and Gravity, Rheology of the lithosphere and mantle
Journal
Geophysical Research Letters
http://www.agu.org/journals/gl/
Publisher
American Geophysical Union
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