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.