Surveys in Geophysics

, Volume 24, Issue 1, pp 81–106

Moment Differential Equations for Flow in Highly Heterogeneous Porous Media

  • C.L. Winter
  • D.M. Tartakovsky
  • A. Guadagnini
Article

DOI: 10.1023/A:1022277418570

Cite this article as:
Winter, C., Tartakovsky, D. & Guadagnini, A. Surveys in Geophysics (2003) 24: 81. doi:10.1023/A:1022277418570

Abstract

Quantitative descriptions of flow and transport in subsurface environmentsare often hampered by uncertainty in the input parameters. Treatingsuch parameters as random fields represents a useful tool for dealingwith uncertainty. We review the state of the art of stochasticdescription of hydrogeology with an emphasis on statisticallyinhomogeneous (nonstationary) models. Our focus is on composite mediamodels that allow one to estimate uncertainties both in geometricalstructure of geological media consisting of various materials and inphysical properties of these materials.

composite media nonstationary statistical statistically inhomogeneous stochastic 

Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • C.L. Winter
    • 1
  • D.M. Tartakovsky
    • 1
  • A. Guadagnini
    • 2
  1. 1.Mathematical Modeling & Analysis Group and Center for Nonlinear StudiesLos Alamos National LaboratoryLos AlamosUSA
  2. 2.D.I.I.A.R. - Politecnico di MilanoMilanoItaly

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