LEADER 03445nam 22006255 450 001 9910799232303321 005 20200629142845.0 010 $a3-642-34985-4 024 7 $a10.1007/978-3-642-34985-0 035 $a(CKB)2670000000371090 035 $a(EBL)1206071 035 $a(SSID)ssj0000908085 035 $a(PQKBManifestationID)11564217 035 $a(PQKBTitleCode)TC0000908085 035 $a(PQKBWorkID)10898845 035 $a(PQKB)11601584 035 $a(DE-He213)978-3-642-34985-0 035 $a(MiAaPQ)EBC1206071 035 $a(PPN)169138445 035 $a(EXLCZ)992670000000371090 100 $a20130420d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNon-fickian Solute Transport in Porous Media $eA Mechanistic and Stochastic Theory /$fby Don Kulasiri 205 $a1st ed. 2013. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2013. 215 $a1 online resource (227 p.) 225 1 $aAdvances in Geophysical and Environmental Mechanics and Mathematics,$x1866-8348 300 $aDescription based upon print version of record. 311 $a3-642-34984-6 320 $aIncludes index. 327 $aNonFickian 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. 330 $aThe advection-dispersion equation that is used to model the solute transport in a porous medium is based on the premise that the fluctuating components of the flow velocity, hence the fluxes, due to a porous matrix can be assumed to obey a relationship similar to Fick?s law. This introduces phenomenological coefficients which are dependent on the scale of the experiments. This book presents an approach, based on sound theories of stochastic calculus and differential equations, which removes this basic premise. This leads to a multiscale theory with scale independent coefficients. This book illustrates this outcome with available data at different scales, from experimental laboratory scales to regional scales. 410 0$aAdvances in Geophysical and Environmental Mechanics and Mathematics,$x1866-8348 606 $aGeophysics 606 $aFluids 606 $aMathematical models 606 $aGeophysics/Geodesy$3https://scigraph.springernature.com/ontologies/product-market-codes/G18009 606 $aFluid- and Aerodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21026 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 615 0$aGeophysics. 615 0$aFluids. 615 0$aMathematical models. 615 14$aGeophysics/Geodesy. 615 24$aFluid- and Aerodynamics. 615 24$aMathematical Modeling and Industrial Mathematics. 676 $a620.11696 700 $aKulasiri$b Don$4aut$4http://id.loc.gov/vocabulary/relators/aut$01065159 906 $aBOOK 912 $a9910799232303321 996 $aNon-fickian Solute Transport in Porous Media$93871180 997 $aUNINA