@inbook{be800bc6d29740a9be8d7e67c8270be1,

title = "Numerical Simulation of Transport in Porous Media: Some Problems from Micro to Macro Scale",

abstract = "This paper deals with simulation of flow and transport in porous media such as transport of groundwater contaminants. We first discuss how macro scale equations are derived and which terms have to be closed by models. The transport of tracers is strongly influenced by pore scale velocity structure and large scale inhomogeneities in the permeability field. The velocity structure on the pore scale is investigated by direct numerical simulations of the 3D velocity field in a random sphere pack. The velocity probability density functions are strongly skewed, including some negative velocities. The large probability for very small velocities might be the reason for non-Fickian dispersion in the initial phase of contaminant transport. We present a method to determine large scale distributions of the permeability field from point-wise velocity measurements. The adjoint-based optimisation algorithm delivers fully satisfying agreement between input and estimated permeability fields. Finally numerical methods for convection dominated tracer transports are investigated from a theoretical point of view. It is shown that high order Finite Element Methods can reduce or even eliminate non-physical oscillations in the solution without introducing additional numerical diffusivity.",

keywords = "High order FEM, Parameter identification, Pore scale, Porous media",

author = "Quanji Cai and Sheema Kooshapur and Michael Manhart and Mundani, {Ralf Peter} and Ernst Rank and Andreas Springer and Boris Vexler",

note = "Publisher Copyright: {\textcopyright} 2013, Springer-Verlag Berlin Heidelberg.",

year = "2013",

doi = "10.1007/978-3-642-38762-3_3",

language = "English",

series = "Lecture Notes in Computational Science and Engineering",

publisher = "Springer Verlag",

pages = "57--80",

booktitle = "Lecture Notes in Computational Science and Engineering",

}