Authors:
- 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
Part of the book series: Geosystems Mathematics (GSMA)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
About this book
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.
Authors and Affiliations
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Department of Mathematics, Friedrich-Alexander University of Erlangen-Nürnberg, Erlangen, Germany
Nicolae Suciu
Bibliographic Information
Book Title: Diffusion in Random Fields
Book Subtitle: Applications to Transport in Groundwater
Authors: Nicolae Suciu
Series Title: Geosystems Mathematics
DOI: https://doi.org/10.1007/978-3-030-15081-5
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-15080-8Published: 13 June 2019
Softcover ISBN: 978-3-030-15083-9Published: 14 August 2020
eBook ISBN: 978-3-030-15081-5Published: 31 May 2019
Series ISSN: 2510-1544
Series E-ISSN: 2510-1552
Edition Number: 1
Number of Pages: XVI, 267
Number of Illustrations: 15 b/w illustrations, 96 illustrations in colour
Topics: Probability Theory and Stochastic Processes, Numerical Analysis, Geophysics/Geodesy, Geophysics and Environmental Physics