Physics – Geophysics
Scientific paper
Mar 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002georl..29e..10y&link_type=abstract
Geophysical Research Letters, Volume 29, Issue 5, pp. 10-1, CiteID 1066, DOI 10.1029/2001GL014014
Physics
Geophysics
2
Mathematical Geophysics: Modeling, Mineral Physics: Creep And Deformation, Geodesy And Gravity: Rheology Of The Lithosphere And Mantle (8160)
Scientific paper
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.
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