A dimensionally-reduced fracture flow model for poroelastic media with fluid entry resistance and fluid slip

DOI10.1016/j.jcp.2022.110972OpenAlexW4205586563MaRDI QIDQ2133737

Elisa A. Bergkamp, D. M. J. Smeulders, Clemens V. Verhoosel, Joris J. C. Remmers

Publication date: 5 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2022.110972

zbMATH Keywords

poroelasticityfracture flowthermodynamic framework(extended) finite element methodfluid entry resistancefluid slip

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65Nxx) Incompressible viscous fluids (76Dxx) Flows in porous media; filtration; seepage (76Sxx)

Related Items (2)

Analysis of the absorbing boundary condition for the Maxwell fluid flow over a semi-Infinite plate with considering the magnetic field ⋮ Stabilized isogeometric formulation of the multi-network poroelasticity and transport model (\(\mathrm{MPET}^2\)) for subcutaneous injection of monoclonal antibodies

Cites Work

• Unnamed Item
• Unnamed Item
• The partition of unity finite element method: basic theory and applications
• A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model
• Poroelasticity
• On the numerical simulation of crack interaction in hydraulic fracturing
• The enhanced local pressure model for the accurate analysis of fluid pressure driven fracture in porous materials
• A staggered finite element procedure for the coupled Stokes-Biot system with fluid entry resistance
• Error-estimate-based adaptive integration for immersed isogeometric analysis
• Unified approach to discretization of flow in fractured porous media
• Implicit level set schemes for modeling hydraulic fractures using the XFEM
• A finite element method for the simulation of strong and weak discontinuities in solid mechanics
• Functional analysis and exterior calculus on mixed-dimensional geometries
• A Stokes model with cavitation for the numerical simulation of hydrodynamic lubrication
• Weak coupling of a Reynolds model and a Stokes model for hydrodynamic lubrication
• On the Boundary Condition at the Surface of a Porous Medium
• An accuracy condition for consolidation by finite elements
• On stability and convergence of finite element approximations of Biot's consolidation problem
• The near-tip region of a fluid-driven fracture propagating in a permeable elastic solid
• Robust Discretization of Flow in Fractured Porous Media
• A finite element method for crack growth without remeshing
• Modeling, Structure and Discretization of Hierarchical Mixed-Dimensional Partial Differential Equations
• Formulation of the Reynolds equation on a time-dependent lubrication surface
• Dimensional model reduction for flow through fractures in poroelastic media

This page was built for publication: A dimensionally-reduced fracture flow model for poroelastic media with fluid entry resistance and fluid slip