Open access peer-reviewed Monograph

Computational Modelling of Multi-scale Solute Dispersion in Porous Media

An Approach Based on Stochastic Calculus

This research monograph presents a mathematical approach based on stochastic calculus which tackles the “cutting edge” in porous media science and engineering – prediction of dispersivity from covariance of hydraulic conductivity (velocity). The problem is of extreme importance for tracer analysis, for enhanced recovery by injection of miscible gases, etc. This book explains a generalised mathematical model and effective numerical methods that may highly impact the stochastic porous media hydrodynamics. The book starts with a general overview of the problem of scale dependence of the dispersion coefficient in porous media. Then a review of pertinent topics of stochastic calculus that would be useful in the modeling in the subsequent chapters is succinctly presented. The development of a generalised stochastic solute transport model for any given velocity covariance without resorting to Fickian assumptions from laboratory scale to field scale is discussed in detail. The mathematical approaches presented here may be useful for many other problems related to chemical dispersion in porous media.

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Computational Modelling of Multi-scale Solute Dispersion in Porous MediaAn Approach Based on Stochastic CalculusAuthored by Don Kulasiri

Published: November 4th 2011

DOI: 10.5772/3189

ISBN: 978-953-307-726-0

eBook (PDF) ISBN: 978-953-51-5702-1

Copyright year: 2011

Books open for chapter submissions

9456 Total Chapter Downloads

chaptersDownloads

Open access peer-reviewed

1. NonFickian Solute Transport

By Don Kulasiri

1433

Open access peer-reviewed

2. Stochastic Differential Equations and Related Inverse Problems

By Don Kulasiri

1357

Open access peer-reviewed

3. A Stochastic Model for Hydrodynamic Dispersion

By Don Kulasiri

974

Open access peer-reviewed

4. A Generalized Mathematical Model in One-Dimension

By Don Kulasiri

1066

Open access peer-reviewed

5. Theories of Fluctuations and Dissipation

By Don Kulasiri

739

Open access peer-reviewed

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

By Don Kulasiri

802

Open access peer-reviewed

7. The Stochastic Solute Transport Model in 2-Dimensions

By Don Kulasiri

759

Open access peer-reviewed

8. Multiscale Dispersion in 2 Dimensions

By Don Kulasiri

826

Open access peer-reviewed

9. References

By Don Kulasiri

1503

Monograph and chapters are indexed in

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