TY  - BOOK
AU  - Suciu,Nicolae
TI  - Diffusion in Random Fields : Applications to Transport in Groundwater  
T2  - Geosystems Mathematics,
SN  - 9783030150815
AV  - QA273.A1-274.9 
U1  - 519.2 23
PY  - 2019///
CY  - Cham
PB  - Springer International Publishing, Imprint: Birkhäuser
KW  - Probabilities
KW  - Numerical analysis
KW  - Geophysics
KW  - Probability Theory and Stochastic Processes
KW  - Numerical Analysis
KW  - Geophysics/Geodesy
KW  - Geophysics and Environmental Physics
N1  - 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
N2  - 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
UR  - https://doi.org/10.1007/978-3-030-15081-5
ER  -