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# Disputation Roya Ebrahimi Viand

28.10.2022 | 14:15
Thema der Dissertation:
Molecular Dynamics Simulation of Open Systems far from Equilibrium
Thema der Disputation:
Solution to Archie's law puzzle in porous media
Abstract: Archie's law, proposed around 80 years ago, relates transport and geometry in porous media; specifically, the electrical conductivity $\sigma$ is proposed to depend on the porosity $\phi$ as $\sigma \propto (\phi - \phi_c)^{m}$.
Despite being widely used and evaluated in a variety of porous media, details are poorly understood.
It is observed that the threshold porosity $\phi_c$ is practically zero, the exponent $m$ is confined to different ranges, and it is unclear what it depends on. Percolation theory is used to provide a solution and physical explanation to the puzzle associated with this small threshold porosity and the $m$ values that characterize Archie's law. It is shown that this law represents a phase transition phenomenon, and that the predictions from this solution are compatible with various experimental results.

### Zeit & Ort

28.10.2022 | 14:15

Seminarraum 032
(Fachbereich Mathematik und Informatik, Arnimallee 6, 14195 Berlin)