Draft: Linear poroelastic model
Summary
This MR adds linear poroelasticity model. We need to solve
\int \nabla \bm v : \bm \sigma dV - \int \bm v \cdot \bm F dV - \int_{\partial \Omega} \bm v \cdot \bar{\bm t} \, dA = 0
where \bm F, \bar{\bm t}
are body force and traction applied on porous medium and second equation
\int q \left( \dot{p}/M + \alpha \nabla \cdot \dot{\bm u} - \gamma \right) dV + \int \nabla q \left(\frac{k}{\eta} (\nabla p - \bm f) \right) dV + \int_{\partial \Omega} q \bar{s} \, dA = 0
where \alpha, M
are Biot's coefficient and Biot's modulus, k, \eta
are intrinsic permeability and fluid viscosity and \gamma, \bm f
are injected volumetric fluid source and fluid body force and \bar s = \bm v^D \cdot \bm n
is the prescribed fluid flux across boundary in which \bm v^D
is the Darcy's velocity.
Checklist
Closes #my_issue_number
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Atomic commit history -
All new features documented -
Updated CHANGELOG.md
Edited by Rezgar Shakeri