© 2019

Diffusion in Random Fields

Applications to Transport in Groundwater


Part of the Geosystems Mathematics book series (GSMA)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Nicolae Suciu
    Pages 1-10
  3. Nicolae Suciu
    Pages 11-46
  4. Nicolae Suciu
    Pages 91-138
  5. Nicolae Suciu
    Pages 193-204
  6. Back Matter
    Pages 205-267

About this book


This book presents, in an accessible and self-consistent way, the theory of diffusion in random velocity fields, together with robust numerical simulation approaches. The focus is on transport processes in natural porous media, with applications to contaminant transport in groundwater. Starting from basic information on stochastic processes, more challenging issues are subsequently addressed, such as the correlation structure of the diffusion process in random fields, the relation between memory effects and ergodic properties, derivation and parameterizations of evolution equations for probability densities, and the relation between measurements and spatio-temporal upscaling.

Written for readers with a background in applied mathematics, engineering, physics or geophysics, the book offers an essential basis for further research in the stochastic modeling of groundwater systems.


diffusion processes random fields random walk ergodicity monte carlo methods PDF methods groundwater

Authors and affiliations

  1. 1.Department of MathematicsFriedrich-Alexander University of Erlangen-NürnbergErlangenGermany

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