Mixed-dimensional poromechanical models of fractured porous media

We combine classical continuum mechanics with the recently developed calculus for mixed-dimensional problems to obtain governing equations for flow in, and deformation of, fractured materials. We present models in both the context of finite and infinitesimal strain, and discuss nonlinear (and non-di...

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Vydáno v:Acta mechanica Ročník 234; číslo 3; s. 1121 - 1168
Hlavní autoři: Boon, W. M., Nordbotten, J. M.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Vienna Springer Vienna 01.03.2023
Springer
Springer Nature B.V
Témata:
Calculus
Classical and Continuum Physics
Continuum mechanics
Control
Dynamical Systems
Engineering
Engineering Fluid Dynamics
Engineering Thermodynamics
Heat and Mass Transfer
Mathematical models
Mechanics
Original Paper
Porous media
Solid Mechanics
Theoretical and Applied Mechanics
Vibration
Well posed problems
ISSN:0001-5970, 1619-6937, 1619-6937
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Popis
Shrnutí:We combine classical continuum mechanics with the recently developed calculus for mixed-dimensional problems to obtain governing equations for flow in, and deformation of, fractured materials. We present models in both the context of finite and infinitesimal strain, and discuss nonlinear (and non-differentiable) constitutive laws such as friction models and contact mechanics in the fracture. Using the theory of well-posedness for evolutionary equations with maximal monotone operators, we show well-posedness of the model in the case of infinitesimal strain and under certain assumptions on the model parameters.
Bibliografie:ObjectType-Article-1
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ISSN:0001-5970
1619-6937
1619-6937
DOI:10.1007/s00707-022-03378-1