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DY: Fachverband Dynamik und Statistische Physik

DY 56: Brownian Motion and Anomalous Diffusion

DY 56.9: Talk

Friday, March 31, 2023, 12:00–12:15, ZEU 160

Fractional anomalous diffusion and Non-Darcian flow in geological system — •Qing Wei — Institute for Physics and Astronomy, University of Potsdam, 14476 Potsdam-Golm,Germany

With the non-Darcian flow and anomalous diffusion in low-permeability porous media as research subjects, the analytical models of non-Darcian flow as well as diffusive transport in low-permeability porous media was in- vestigated by invoking the fractional calculus theory. Using the fractional derivatives with different kernel, fractional diffusion models are proposed to describe radionuclide anomalous transport in geological repository sys- tems. On the basis of Darcy*s law, the memory effectiveness deduced by solid-fluid interaction is depicted by fractional derivative approach, and a fractional Swartzendruber model is proposed for the description of low velocity non-Darcian flow in porous media.