Developement of stochastic partial differential equations for subsurface hydrology

DOI10.1007/BF01543097zbMath0658.76095MaRDI QIDQ1111883

John H. Cushman

Publication date: 1987

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

zbMATH Keywords

Martingaledispersion tensorspectral-integralstatistical-mechanicalstochastic models in subsurface hydrologystochastic-convectivestochastic-relativisticsubsurface transport equations

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Diffusion and convection (76R99) Basic methods in fluid mechanics (76M99)

Related Items (11)

The development of stochastic space transformation and diagrammatic perturbation techniques in subsurface hydrology ⋮ New contributions to the solution of transport equations in porous media ⋮ Transient tracers and birth and death on flows: Parametric estimation of rates of drift, injection, and decay ⋮ General solution to random advective-dispersive equation in porous media. I: Stochasticity in the sources and in the boundaries ⋮ Inverse methods for subsurface flow: A critical review of stochastic techniques ⋮ An Estimation Function for the Rate of Drift, Dispersion, Injection, and Decay of Transient Tracers ⋮ Numerical methods and analysis for a multi-term time-space variable-order fractional advection-diffusion equations and applications ⋮ Semianalytical methods in stochastic groundwater transport ⋮ On the exceedances of exchangeable random variables ⋮ Stochastic partial differential equations in groundwater hydrology. I: Theory ⋮ Stochastic perturbation analysis of groundwater flow. Spatially variable soils, semi-infinite domains and large fluctuations

Cites Work

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• A central limit theorem for diffusions with periodic coefficients
• On a Statistical Theory of Solute Transport in Porous Media
• On the Taylor–Aris Theory of Solute Transport in a Capillary
• Solute transport in heterogeneous porous formations
• Multiphase Transport in the Space of Stochastic Tempered Distributions
• A Perturbation Expansion for Diffusion in a Random Velocity Field
• Stochastic Liouville Equations

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