Diagrammatic theory of effective hydraulic conductivity

DOI10.1007/BF02427925zbMath0911.76090MaRDI QIDQ1128015

Dionissios T. Hristopulos, George Christakos

Publication date: 16 May 1999

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

zbMATH Keywords

heterogeneous medialog-normal hydraulic conductivitylow-order perturbation analysismean-flux series expansionnonlocal tensor kernelstochastically anisotropic mediastochastically isotropic media

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Stochastic analysis applied to problems in fluid mechanics (76M35)

Cites Work

• Pseudo-spectral and asymptotic sensitivity investigation of counter- rotating vortices
• Heterogeneous medium. Is an equivalent macroscopic description possible?
• Stochastic perturbation analysis of groundwater flow. Spatially variable soils, semi-infinite domains and large fluctuations
• Nonequilibrium statistical mechanical derivation of a nonlocal Darcy's law for unsaturated/saturated flow
• Diagrammatic solutions for hydraulic head moments in 1-D and 2-D bounded domains
• The development of stochastic space transformation and diagrammatic perturbation techniques in subsurface hydrology
• Mechanics of heterogeneous porous media with several spatial scales
• The use of field theoretic methods for the study of flow in a heterogeneous porous medium
• An analysis of hydraulic conductivity upscaling
• Flow in simulated porous media
• The Radiation Theories of Tomonaga, Schwinger, and Feynman
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