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Non-fickian Solute Transport in Porous Media

A Mechanistic and Stochastic Theory

  • Book
  • May 2013

Overview

Authors:
  1. Don Kulasiri

    1. , Centre for Advanced, Lincoln University, Christchurch, New Zealand

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  • Develops a novel approach to model the non-fickian solute transport in saturated porous media
  • Presents a multiscale theory with scale independent coefficients
  • Illustrates the outcome with available data at different scales, from experimental laboratory scales to regional ones
  • Includes supplementary material: sn.pub/extras

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-ix
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  2. Non-fickian Solute Transport

    • Don Kulasiri
    Pages 1-27

  3. Stochastic Differential Equations and Related Inverse Problems

    • Don Kulasiri
    Pages 29-74

  4. A Stochastic Model for Hydrodynamic Dispersion

    • Don Kulasiri
    Pages 75-126

  5. A Generalized Mathematical Model in One-Dimension

    • Don Kulasiri
    Pages 127-165

  6. Theories of Fluctuations and Dissipation

    • Don Kulasiri
    Pages 167-181

  7. Multiscale, Generalised Stochastic Solute Transport Model in One Dimension

    • Don Kulasiri
    Pages 183-200

  8. The Stochastic Solute Transport Model in 2-Dimensions

    • Don Kulasiri
    Pages 201-218

  9. Multiscale Dispersion in Two Dimensions

    • Don Kulasiri
    Pages 219-224

  10. Back Matter

    Pages 225-227
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Keywords

About this book

The advection-dispersion equation that is used to model the solute transport in a porous medium is based on the premise that the fluctuating components of the flow velocity, hence the fluxes, due to a porous matrix can be assumed to obey a relationship similar to Fick’s law. This introduces phenomenological coefficients which are dependent on the scale of the experiments. This book presents an approach, based on sound theories of stochastic calculus and differential equations, which removes this basic premise. This leads to a multiscale theory with scale independent coefficients. This book illustrates this outcome with available data at different scales, from experimental laboratory scales to regional scales.

Authors and Affiliations

  • , Centre for Advanced, Lincoln University, Christchurch, New Zealand

    Don Kulasiri

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