Nonequilibrium statistical mechanical derivation of a nonlocal Darcy's law for unsaturated/saturated flow

DOI10.1007/BF01589892zbMath0809.76087OpenAlexW2000881456MaRDI QIDQ1337960

John H. Cushman, Xiaolong Hu

Publication date: 14 November 1994

Published in: Stochastic Hydrology and Hydraulics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01589892

zbMATH Keywords

statistical physicsconstitutive theorymemoryforce balances

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Stochastic analysis applied to problems in fluid mechanics (76M35)

Related Items (6)

Diffusivity identification in a nonlinear time-fractional diffusion equation ⋮ Numerical investigation of memory-based diffusivity equation: the integro-differential equation ⋮ Diagrammatic theory of effective hydraulic conductivity ⋮ Derivation of the nonlocal pressure form of the fractional porous medium equation in the hydrological setting ⋮ Analytical studies of a time-fractional porous medium equation. Derivation, approximation and applications ⋮ A universal field equation for dispersive processes in heterogeneous media

Cites Work

• Non-homogeneous media and vibration theory
• Nonequilibrium statistical mechanics of preasymptotic dispersion
• On the statistical mechanical derivation of the correlation formula for the viscosity
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