Modeling of compaction driven flow in poro-viscoelastic medium using adaptive wavelet collocation method

Details

Serval ID
serval:BIB_91EA2AA0E944
Type
Article: article from journal or magazin.
Collection
Publications
Title
Modeling of compaction driven flow in poro-viscoelastic medium using adaptive wavelet collocation method
Journal
Geophysical Research Letters
Author(s)
Vasilyev O.V., Podladchikov Y.Y., Yuen D.A.
ISSN-L
0094-8276
Publication state
Published
Issued date
1998
Peer-reviewed
Oui
Volume
25
Pages
3239-3242
Language
english
Abstract
Different regimes of compaction driven how have been studied within the
framework of a poro-viscoelastic medium. A single dimensionless
parameter, the Deborah number De, has been identified, which enables the
portrayal of the solution from the purely viscous matrix limit (De much
less than 1) to the pore-elastic (De much greater than 1) matrix limit.
In viscous limit the evolution of a porosity disturbance (porosity wave)
is governed by nonlinear convection-diffusion equation, while in the
pore-elastic limit it evolves according to a Burgers-like non-linear
advection equation. In both regimes porosity waves of higher amplitude
propagate faster. However in the viscous limit porosity waves go through
each other in soliton-like fashion, while in pore-elastic limit they
coalesce and thus enhance melt segregation. The introduction of other
variables, such as chemistry, would induce different responses in the
flow for low and high De, allowing for diverse feedback situations.
Open Access
Yes
Create date
09/10/2012 19:50
Last modification date
20/08/2019 14:55
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