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154 Stochastic Modeling of Flow and Transport in Porous and Fractured Media

Part 13. Groundwater

  1. Souheil M Ezzedine

Published Online: 15 APR 2006

DOI: 10.1002/0470848944.hsa158

Encyclopedia of Hydrological Sciences

Encyclopedia of Hydrological Sciences

How to Cite

Ezzedine, S. M. 2006. Stochastic Modeling of Flow and Transport in Porous and Fractured Media. Encyclopedia of Hydrological Sciences. 13:154.

Author Information

  1. University of California, Lawrence Livermore National Laboratory, Livermore, CA, US

Publication History

  1. Published Online: 15 APR 2006


Estimation of various flow and mass transport parameters can be seen as a problem of spatial statistics. The definition of the properties of porous and fractured media in space and time using the concept of random functions provides means for (i) studying the inherent heterogeneity, (ii) evaluating the spatiotemporal variability of the properties, and (iii) assessing the uncertainty associated with their estimated values. In this chapter, the fundamentals of stochastic subsurface hydrology are presented. Applications include mapping hydrogeological properties, flow and transport in porous and fractured media, and inverse problems.


  • porous media;
  • fractured media;
  • spatial random functions;
  • stochastic partial differential equations;
  • statistics;
  • geostatistics;
  • inverse problem;
  • joint inversion;
  • subsurface characterization;
  • fate transport;
  • perturbation methods;
  • spectral methods;
  • spatial and temporal moments;
  • ergodicity;
  • stationarity;
  • macrodispersivity;
  • Monte Carlo simulations;
  • conditional and unconditional simulations;
  • Bayesian analysis;
  • fracture connectivity