Developement of stochastic partial differential equations for subsurface hydrology
type: Item
instance of: scholarly article
title: Developement of stochastic partial differential equations for subsurface hydrology
zbMATH Open document ID: 0658.76095
DOI: 10.1007/BF01543097
published in: Stochastic Hydrology and Hydraulics
publication date: 1987-01-01T00:00:00Z
review text: The use of stochastic models in subsurface hydrology is growing at a logistic pace. To tie together a number of different stochastic methodologies for deriving subsurface transport equations, we have put together a brief review of some of the more common techniques. Our attention is confined to a few select methodologies so that we might delve in detail into assumptions required by the various approaches and their strengths and weaknesses. The methods reviewed include: Martingale, stochastic-convective, stochastic-relativistic, spectral-integral, perturbative, statistical-mechanical, and generalized hydrodynamics. Within this list, we also have included a few stochastic methodologies which have been used solely to develop expressions for the dispersion tensor.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4076883
zbMATH Keywords: stochastic models in subsurface hydrology
zbMATH Keywords: subsurface transport equations
zbMATH Keywords: Martingale
zbMATH Keywords: stochastic-convective
zbMATH Keywords: stochastic-relativistic
zbMATH Keywords: spectral-integral
zbMATH Keywords: statistical-mechanical
zbMATH Keywords: dispersion tensor
author: John H. Cushman
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4076883