Don Kulasiri

Lincoln University New Zealand

Don Kulasiri has been a Professor and Head of the Centre for Advanced Computational Solutions (C-fACS) at Lincoln University, New Zeland, since 1999. He has been a Visiting Scholar at the Mathematical Institute, Oxford University, UK, since 2008. Dr. Kulasiri was also a visiting professor at Princeton University, USA, Stanford University, USA, and at the New Zealand Centre at Peking University Fellow in 2018. He is a Fellow of the Modelling and Simulation Society of Australia and New Zealand (MSSANZ). Dr. Kulasiri co-authored over 190 publications and 6 research monographs with leading international publishers.

1books edited

9chapters authored

Latest work with IntechOpen by Don Kulasiri

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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