A two-phase model for compaction and damage: 1. General Theory

A theoretical model for the dynamics of a simple two‐phase mixture is presented. A classical averaging approach combined with symmetry arguments is used to derive the mass, momentum, and energy equations for the mixture. The theory accounts for surficial energy at the interface and employs a nonequi...

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Bibliographic Details
Published in:Journal of Geophysical Research: Solid Earth 2001-05, Vol.106 (B5), p.8887-8906
Main Authors: Bercovici, David, Ricard, Yanick, Schubert, Gerald
Format: Article
Language:English
Subjects:
Earth sciences
Earth, ocean, space
Engineering and environment geology. Geothermics
Engineering geology
Exact sciences and technology
Geophysics
Physics
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Summary:A theoretical model for the dynamics of a simple two‐phase mixture is presented. A classical averaging approach combined with symmetry arguments is used to derive the mass, momentum, and energy equations for the mixture. The theory accounts for surficial energy at the interface and employs a nonequilibrium equation to relate the rate of work done by surface tension to the rates of both pressure work and viscous deformational work. The resulting equations provide a basic model for compaction with and without surface tension. Moreover, use of the full nonequilibrium surface energy relation allows for isotropic damage, i.e., creation of surface energy through void generation and growth (e.g., microcracking), and thus a continuum description of weakening and shear localization. Applications to compaction, damage, and shear localization are investigated in two companion papers.
ISSN:0148-0227
2169-9313
2156-2202
2169-9356
DOI:10.1029/2000JB900430