Diffusion in Random Fields
Applications to Transport in Groundwater
Authors: Suciu, Nicolae
Free Preview- 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
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- About this book
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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.
- Table of contents (7 chapters)
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Introduction
Pages 1-10
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Preliminaries
Pages 11-46
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Stochastic Simulations of Diffusion Processes
Pages 47-89
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Diffusion in Random Velocity Fields
Pages 91-138
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Monte Carlo GRW Simulations of Passive Transport in Groundwater
Pages 139-155
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Table of contents (7 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Diffusion in Random Fields
- Book Subtitle
- Applications to Transport in Groundwater
- Authors
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- Nicolae Suciu
- Series Title
- Geosystems Mathematics
- Copyright
- 2019
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-15081-5
- DOI
- 10.1007/978-3-030-15081-5
- Hardcover ISBN
- 978-3-030-15080-8
- Softcover ISBN
- 978-3-030-15083-9
- Series ISSN
- 2510-1544
- Edition Number
- 1
- Number of Pages
- XVI, 267
- Number of Illustrations
- 15 b/w illustrations, 96 illustrations in colour
- Topics