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Mechanisms of Anomalous Dispersion in Flow Through Heterogeneous Porous Media

AutorTyukhova, Alina; Dentz, Marco ; Kinzelbach, Wolfgang; Willmann, Mattias
Palabras claveCTRW
Fecha de publicación16-nov-2016
EditorAmerican Physical Society
CitaciónPhysical Review Fluids 1(7): 74002 (2016)
ResumenWe study the origins of anomalous dispersion in heterogeneous porous media in terms of the medium and flow properties. To identify and quantify the heterogeneity controls, we focus on porous media which are organized in assemblies of equally sized conductive inclusions embedded in a constant conductivity matrix. We study the behavior of particle arrival times for different conductivity distributions and link the statistical medium characteristics to large scale transport using a continuous time random walk (CTRW) approach. The CTRW models particle motion as a sequence of transitions in space and time. We derive an explicit map of the conductivity onto the transition time distribution. The derived CTRW model predicts solute transport based on the conductivity distribution and the characteristic heterogeneity length. In this way, heavy tails in solute arrival times and anomalous particle dispersion as measured by the centered mean square displacement are directly related to the medium properties. These findings shed light on the mechanisms of anomalous dispersion in heterogeneous porous media, and provide a basis for the predictive modeling of large scale transport.
Versión del editorhttps://doi.org/10.1103/PhysRevFluids.1.074002
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