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A Darcy-Brinkman Extension of a Three-Phase Framework Based on the Theory of Porous Media for Unsaturated Poroelastic Solids

https://doi.org/10.2139/ssrn.7175927
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Porous Media Transport Phenomena
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Trends in Continuum Mechanics of Porous Media
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Stokes–Darcy Equations
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Waves in poroelastic half space: Boundary element analyses
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Micropolar mixture models on the basis of the Theory of Porous Media
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Coupling between the evolution of a deformable porous medium and the motion of fluids in the connected porosity
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Darcy, Forchheimer, Brinkman and Richards: classical hydromechanical equations and their significance in the light of the TPM
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A comparative study of Biot's theory and the linear Theory of Porous Media for wave propagation problems
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Micro-continuum Approach for Pore-Scale Simulation of Subsurface Processes
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Micro-continuum Framework for Pore-Scale Multiphase Fluid Transport in Shale Formations
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Challenges of porous media models in geo- and biomechanical engineering including electro-chemically active polymers and gels
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Thermal dispersion in a porous medium
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Momentum transfer at the boundary between a porous medium and a homogeneous fluid—I. Theoretical development
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Incompressible porous media models by use of the theory of mixtures
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Compressible porous media models by use of the theory of mixtures
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Volume of fluid (VOF) method for the dynamics of free boundaries
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Theory of Mixtures
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Pore-scale imaging and modelling
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A penalization technique applied to the “Volume-Of-Fluid” method: Wettability condition on immersed boundaries
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Discrete numerical modeling of particle transport in granular filters
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Volume-averaged macroscopic equation for fluid flow in moving porous media
inferredcites →https://doi.org/10.1016/j.oceaneng.2025.122485openalex-snapshot
Three-dimensional numerical simulation of the interaction between wave and porous medium via the Darcy–Brinkman–Biot model
inferredcites →https://doi.org/10.1016/j.pecs.2021.100968openalex-snapshot
Pore-scale modeling of complex transport phenomena in porous media
inferredcites →https://doi.org/10.1016/j.sandf.2018.07.003openalex-snapshot
Numerical analysis of coupled flows in porous and fluid domains by the Darcy-Brinkman equations
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Pore-scale mass and reactant transport in multiphase porous media flows
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Pore-scale modelling of multiphase reactive flow: application to mineral dissolution with production of
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Interfacial conditions between a pure fluid and a porous medium: implications for binary alloy solidification
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The drag on a cloud of spherical particles in low Reynolds number flow
inferredcites →https://doi.org/10.1029/2008rg000263openalex-snapshot
Modeling and simulation of pore‐scale multiphase fluid flow and reactive transport in fractured and porous media
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A Darcy‐Brinkman‐Biot Approach to Modeling the Hydrology and Mechanics of Porous Media Containing Macropores and Deformable Microporous Regions
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Developing joint probability distributions of soil water retention characteristics
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Time for Development of Internal Erosion and Piping in Embankment Dams
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Contact Erosion at the Interface between Granular Coarse Soil and Various Base Soils under Tangential Flow Condition
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General Theory of Three-Dimensional Consolidation
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Comprehensive comparison of pore-scale models for multiphase flow in porous media
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The Theory of Ground-Water Motion
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On the Thermal Instability of Superposed Porous and Fluid Layers
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Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. I. Low-Frequency Range
inferredcites →https://doi.org/10.1121/1.1908241openalex-snapshot
Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher Frequency Range
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A Closed‐form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils
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Navier-Stokes-Brinkman system for interaction of viscous waves with a submerged porous structure
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