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Non-fickian Solute Transport in Porous Media - Don Kulasiri

Non-fickian Solute Transport in Porous Media

A Mechanistic and Stochastic Theory

(Autor)

Buch | Softcover
IX, 227 Seiten
2015 | 2013
Springer Berlin (Verlag)
978-3-642-43114-2 (ISBN)
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This book develops a novel approach to model the non-fickian solute transport in saturated porous media. It presents a multiscale theory with scale independent coefficients and illustrates the outcome with available data at different scales.
The advection-dispersion equation that is used to model the solute transport in a porous medium is based on the premise that the fluctuating components of the flow velocity, hence the fluxes, due to a porous matrix can be assumed to obey a relationship similar to Fick's law. This introduces phenomenological coefficients which are dependent on the scale of the experiments. This book presents an approach, based on sound theories of stochastic calculus and differential equations, which removes this basic premise. This leads to a multiscale theory with scale independent coefficients. This book illustrates this outcome with available data at different scales, from experimental laboratory scales to regional scales.

NonFickian Solute Transport.- Stochastic Differential Equations and Related Inverse Problems.- A Stochastic Model for Hydrodynamic Dispersion.- A Generalized Mathematical Model in One-dimension.- Theories of Fluctuations and Dissipation.- Multiscale, Generalised Stochastic Solute Transport Model in One Dimension.- The Stochastic Solute Transport Model in 2-Dimensions.- Multiscale Dispersion in 2 dimensions.

Erscheint lt. Verlag 15.5.2015
Reihe/Serie Advances in Geophysical and Environmental Mechanics and Mathematics
Zusatzinfo IX, 227 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 373 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Naturwissenschaften Geowissenschaften Geologie
Naturwissenschaften Geowissenschaften Geophysik
Naturwissenschaften Physik / Astronomie Strömungsmechanik
Schlagworte Earth and Environmental Science • fluid- and aerodynamics • Geophysics/Geodesy • Mathematical Modeling and Industrial Mathematics • multiscale • Non-fickian • Porous Media • Solute Transport • Stochastic differential equations
ISBN-10 3-642-43114-3 / 3642431143
ISBN-13 978-3-642-43114-2 / 9783642431142
Zustand Neuware
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