Exact analytical solution of a generalized multiple moving boundary model of one-dimensional non-Darcy flow in heterogeneous multilayered low-permeability porous media with a threshold pressure gradient

DOI10.1016/j.apm.2020.01.028zbMath1481.76215OpenAlexW2999696204WikidataQ126338233 ScholiaQ126338233MaRDI QIDQ821746

Wen-Chao Liu

Publication date: 21 September 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2020.01.028

zbMATH Keywords

heterogeneityexact analytical solutionthreshold pressure gradientmultilayermultiple moving boundary

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05)

Cites Work

• Numerical solution of a moving boundary problem of one-dimensional flow in semi-infinite long porous media with threshold pressure gradient
• A fractal model for the starting pressure gradient for Bingham fluids in porous media embedded with fractal-like tree networks
• A mathematical model of imbibition phenomenon in heterogeneous porous media during secondary oil recovery process
• Analytical solution of flow in infinite stratified oil reservoir and its application
• Fluid flow, relative permeabilities and capillary pressure curves through heterogeneous porous media
• Analytical solution for one-dimensional radial flow caused by line source in porous medium with threshold pressure gradient
• New solution to the pressure transient equation in a two-layer reservoir with crossflow
• Nonlinear partial differential equations in engineering
• Numerical simulation of injectivity loss in stratified reservoirs

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