A stochastic approach to nonlinear unconfined flow subject to multiple random fields

DOI10.1007/s00477-008-0261-3zbMath1416.76251OpenAlexW2093847700MaRDI QIDQ2001952

Jinzhong Yang, Dongxiao Zhang, LiangSheng Shi

Publication date: 11 July 2019

Published in: Stochastic Environmental Research and Risk Assessment (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00477-008-0261-3

zbMATH Keywords

boundary conditionKarhunen-Loeve expansionmoment equationspatial variabilityrechargelog conductivity

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Stochastic analysis applied to problems in fluid mechanics (76M35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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A comparative study of numerical approaches to risk assessment of contaminant transport ⋮ Lagrangian simulations of unstable gravity-driven flow of fluids with variable density in randomly heterogeneous porous media

Cites Work

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• An efficient, high-order perturbation approach for flow in random porous media via Karhunen-Loève and polynomial expansions.
• A new formulation for the Karhunen-Loève expansion
• Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos
• Stochastic Simulations for Flow in Nonstationary Randomly Heterogeneous Porous Media Using a KL‐Based Moment‐Equation Approach

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