Appearance of the nonlinearity from the nonlocality in diffusion through multiscale fractured porous media

DOI10.1007/s10596-012-9338-7zbMath1382.76248OpenAlexW1968297795MaRDI QIDQ1705866

Mikhail Panfilov, Mojdeh Rasoulzadeh

Publication date: 19 March 2018

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10596-012-9338-7

zbMATH Keywords

diffusionnonlinearityporous mediamultiscalememory

Mathematics Subject Classification ID

Diffusion (76R50) Flows in porous media; filtration; seepage (76S05)

Related Items (3)

Numerical modeling of fluid flow through multiscale fractured-porous media by quadtrees ⋮ Homogenization of Richards' equations in multiscale porous media with soft inclusions ⋮ Multiscale nonlocal flow in a fractured porous medium

Cites Work

• Non-homogeneous media and vibration theory
• A multiple-porosity model for a single-phase flow through naturally-fractured porous media
• Effective macroscopic description for heat conduction in periodic composites
• Diffusion and Reactions in Fractals and Disordered Systems
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Homogenization of a degenerate triple porosity model with thin fissures
• Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
• An Improved Method for Numerical Inversion of Laplace Transforms
• Stochastic methods for the prediction of complex multiscale phenomena
• Multiscale convergence and reiterated homogenisation
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