A Neumann expansion approach to flow through heterogeneous formations

DOI10.1007/BF01544058zbMath0728.76109MaRDI QIDQ805457

David G. Zeitoun, Carol Braester

Publication date: 1991

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

zbMATH Keywords

Laplace transformstochastic partial differential equationstochastic integral equationstochastic approachhydraulic fracturingflow through highly heterogeneous aquifersNeumann expansion methodrandom partial differential equationstochastic groundwater flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (3)

Operator and integro-differential representations of conditional and unconditional stochastic subsurface flow ⋮ Perturbation-based moment equation approach for flow in heterogeneous porous media: applicability range and analysis of high-order terms. ⋮ Stochastic perturbation analysis of groundwater flow. Spatially variable soils, semi-infinite domains and large fluctuations

Uses Software

• IMSL Numerical Libraries

Cites Work

• Application of Adomian's decomposition procedure to the analysis of a beam on random Winkler support
• Random integral equations with applications to life sciences and engineering
• Application of Volterra–Wiener Series for Bounding the Overall Conductivity of Heterogeneous Media. I. General Procedure
• Stochastic systems
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