Speaker
Description
Up scaling of Darcean flows in heterogeneous porous media is a well mastered issue that led to numerous theoretical and numerical developments using homogenization or volume averaging theory, and stochastic averaging using statistical physics methods.
On the other hand, up-scaling of flows in discrete networks are well mastered mainly in the percolation theory framework, and within the context of flow in PNM or fracture network modelling.
Deeper connexions between these two approaches can be investigated using spectral methods, by studying the spectrum of the associated Laplace operators and the associated eigenvalue distribution.
The general idea is to be able to estimate the number of relevant degrees of freedom sufficient to get a meaningful description of overall preoperties of the flow, discarding non relevant degrees of freedom the role of which may be diluted in the intrinsic randomness of most natural porous media.
The contribution will present some simulation results and some conjectures will be presented.
| References | NOETINGER, Benoît. Random fields and up scaling, towards a more predictive probabilistic quantitative hydrogeology. Comptes Rendus. Géoscience, 2023, vol. 355, no S1, p. 559-572.COLECCHIO, Iván, LE GALL, Elora, et NOETINGER, Benoît. Effective conductivity of conduit networks with random conductivities. Physical Review E, 2025, vol. 112, no 1, p. 014309. |
|---|---|
| Country | france |
| Acceptance of the Terms & Conditions | Click here to agree |
