Diffusion in Random Fields [electronic resource] : Applications to Transport in Groundwater / by Nicolae Suciu.
Material type: TextSeries: Geosystems MathematicsPublisher: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019Edition: 1st ed. 2019Description: XIV, 262 p. 111 illus., 96 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783030150815Subject(s): Probabilities | Numerical analysis | Geophysics | Probability Theory and Stochastic Processes | Numerical Analysis | Geophysics/Geodesy | Geophysics and Environmental PhysicsDDC classification: 519.2 LOC classification: QA273.A1-274.9QA274-274.9Online resources: Click here to access onlineItem type | Current library | Call number | Status | Date due | Barcode | Item holds |
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e-Books | Central Library, Sikkim University | 519.2 (Browse shelf(Opens below)) | Not for loan | E-3054 |
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.
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.
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