TY  - CHAP
AU  - Don Kulasiri
ED  - Don Kulasiri
Y1  - 2011-11-04
PY  - 2011
T1  - Stochastic Differential Equations and Related Inverse Problems
N2  - 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.
BT  - Computational Modelling of Multi-scale Solute Dispersion in Porous Media
SP  - Ch. 2
UR  - https://doi.org/10.5772/39153
DO  - 10.5772/39153
SN  - 
PB  - IntechOpen
CY  - Rijeka
Y2  - 2024-04-19
ER  -