Numerical modeling of fluid flow through multiscale fractured-porous media by quadtrees

DOI10.1016/j.jcp.2021.110566OpenAlexW3181492117WikidataQ112881810 ScholiaQ112881810MaRDI QIDQ2132656

Viatcheslav Vostrikov, Stéphane Popinet, Mikhail Panfilov, Abdumaulen Berdyshev, Zharasbek Baishemirov

Publication date: 28 April 2022

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110566

zbMATH Keywords

porous mediaquadtreesirregular gridsmemoryintegro-differentialmultiscale media

Mathematics Subject Classification ID

Parabolic equations and parabolic systems (35Kxx) Qualitative properties of solutions to partial differential equations (35Bxx) Flows in porous media; filtration; seepage (76Sxx)

Uses Software

• Gerris

Cites Work

• A multiple-porosity model for a single-phase flow through naturally-fractured porous media
• Gerris: A tree-based adaptive solver for the incompressible Euler equations in complex geometries.
• Appearance of the nonlinearity from the nonlocality in diffusion through multiscale 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
• Multiscale convergence and reiterated homogenisation
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