Suciu N. Diffusion in Random Fields: Applications to Transport in Groundwater

Springer, 2019. — 276 p. — (Geosystems Mathematics). — ISBN: 978-3-030-15080-8.This book presents, in an accessible and self-consistent way, the theory of diffusion in random velocity fields, together with robust numerical simulation approaches. The focus is on transport processes in natural porous media, with applications to contaminant transport in groundwater. Starting from basic information on stochastic processes, more challenging issues are subsequently addressed, such as the correlation structure of the diffusion process in random fields, the relation between memory effects and ergodic properties, derivation and parameterizations of evolution equations for probability densities, and the relation between measurements and spatio-temporal upscaling.
Written for readers with a background in applied mathematics, engineering, physics or geophysics, the book offers an essential basis for further research in the stochastic modeling of groundwater systems.Preliminaries
Stochastic Simulations of Diffusion Processes
Diffusion in Random Velocity Fields
Monte Carlo GRW Simulations of Passive Transport in Groundwater
Probability and Filtered Density Function Approaches
Model, Scale, and Measurement