Temporal Evolution of Erosion in Pore Networks: From Homogenization to Instability

Ahmad Zareei, Deng Pan, Ariel Amir

Research output: Contribution to journalArticlepeer-review


We study the dynamics of flow networks in porous media using two and three dimensional pore-network models. We consider a class of erosion dynamics for a single phase flow with no deposition, chemical reactions, or topology changes assuming a constitutive law depending on flow rate, local velocities, or shear stress at the walls. We show that depending on the erosion law, the flow may become uniform and homogenized or become unstable and develop channels. By defining an order parameter capturing these different behaviors we show that a phase transition occurs depending on the erosion dynamics. Using a simple model, we identify quantitative criteria to distinguish these regimes and correctly predict the fate of the network, and discuss the experimental relevance of our result.
Original languageEnglish
Article number234501
Number of pages6
JournalPhysical review letters
Issue number23
StatePublished - 10 Jun 2022
Externally publishedYes


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