New stochastic model for dispersion in heterogeneous porous media. I: Application to unbounded domains

DOI10.1016/j.apm.2007.11.023zbMath1168.76377OpenAlexW2025209044MaRDI QIDQ840099

Wynand S. Verwoerd

Publication date: 5 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.apm.2007.11.023

zbMATH Keywords

stochastic differential equationporous mediumdrift velocitystochastic modelsolute dispersion

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (2)

New stochastic model for dispersion in heterogeneous porous media: II. Gaussian plume transmission across stepwise velocity fluctuations ⋮ Dispersive entrainment into gravity currents in porous media

Uses Software

• Mathematica

Cites Work

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• Theory of diffusions applied to stochastic flow in porous media
• An efficient, high-order perturbation approach for flow in random porous media via Karhunen-Loève and polynomial expansions.
• Exact transverse macro dispersion coefficients for transport in heterogeneous porous media
• Averaging of unsteady flows in heterogeneous media of stationary conductivity
• A Perturbation Expansion for Diffusion in a Random Velocity Field
• Stochastic differential equations. An introduction with applications.

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