Diffusion in Random Fields , 1st ed. 2019
Applications to Transport in Groundwater
Geosystems Mathematics Series

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.

Introduction.- 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.

Presents a self-consistent theory of stochastic modeling of groundwater systems

Mathematical theory is illustrated and complemented by numerical methods and simulation codes

Serves as bachground for further research on transportprocesses in natural porous media