This book develops a novel approach to model the non-fickian solute transport in saturated porous media. It presents a multiscale theory with scale independent coefficients and illustrates the outcome with available data at different scales.

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.

Autorentext

Don Kulasiri holds a chaired professorship in Computational modelling and systems biology at Lincoln University, New Zealand, during the last 25 years, and he has been an academic over 33 years. He obtained his B.Sc. (Honours) in mechanical engineering at University of Peradeniya, Sri Lanka, in 1980, and M.S. and Ph.D. at Biological Systems Engineering department, Virginia Tech, USA, in 1988 and 1990, respectively. He has been a visiting professor or a visiting scholar to Princeton University(2004, 2006), Stanford University(1998), USA, and Oxford University(since 2008), UK. His research has been ranked A (world class) by the New Zealand government panels for the last 21 years, and he has graduated over 58 Ph.D. and 15 master's students and authored more than 200 publications including 6 research monographs, 1 edited book and 1 edited proceeding. He founded (1999) and directs the Centre for Advanced Computational Solutions (C-fACS) at Lincoln University.

Inhalt

NonFickian Solute Transport.- Stochastic Differential Equations and Related Inverse Problems.- A Stochastic Model for Hydrodynamic Dispersion.- A Generalized Mathematical Model in One-dimension.- Theories of Fluctuations and Dissipation.- Multiscale, Generalised Stochastic Solute Transport Model in One Dimension.- The Stochastic Solute Transport Model in 2-Dimensions.- Multiscale Dispersion in 2 dimensions.