Network-inspired versus Kozeny–Carman based permeability-porosity relations applied to Biot’s poroelasticity model

Network-inspired versus Kozeny–Carman based permeability-porosity relations applied to Biot’s poroelasticity model

Abstract Water injection in the aquifer induces deformations in the soil. These mechanical deformations give rise to a change in porosity and permeability, which results in non-linearity of the mathematical problem. Assuming that the deformations are very small, the model provided by Biot’s theory o...

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Bibliographic Details
Main Authors: Menel Rahrah, Luis A. Lopez-Peña, Fred Vermolen, Bernard Meulenbroek
Format: Article
Language:English
Published: SpringerOpen 2020-07-01
Series:Journal of Mathematics in Industry
Subjects:
Kozeny–Carman relation
Percolation threshold
Biot’s poroelasticity model
Finite element method
Saddle point problem
Spurious nonphysical oscillations
Online Access:http://link.springer.com/article/10.1186/s13362-020-00087-z

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http://link.springer.com/article/10.1186/s13362-020-00087-z

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