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Introduction

  • Nicolae Suciu
Chapter
Part of the Geosystems Mathematics book series (GSMA)

Abstract

Stochastic approaches for transport processes in heterogeneous media are motivated by the need to use stochastic parameterizations of the model equations. Essentially, this results in modeling diffusion processes in random fields. For instance, in stochastic subsurface hydrology, random hydraulic conductivity parameters generate random groundwater flow velocity fields and solute transport is modeled by diffusion equations with random drift coefficients. Technically, modeling approaches are based on equivalent Fokker–Planck and Itô representations of the diffusion in random fields, that is, through trajectories of molecules or computational particles and the corresponding continuous fields.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Nicolae Suciu
    • 1
    • 2
  1. 1.Department of MathematicsFriedrich-Alexander University of Erlangen-NürnbergErlangenGermany
  2. 2.Tiberiu Popoviciu Institute of Numerical AnalysisCluj-Napoca Branch of the Romanian AcademyCluj-NapocaRomania

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