Clogging a Porous Medium

TL;DR

This paper compares two models of pore clogging in porous media, revealing universal power-law scaling in permeability breakdown and pressure jumps, and suggesting a shared universality class with invasion percolation.

Contribution

It introduces and compares two distinct clogging models, demonstrating universal scaling laws and linking clogging phenomena to invasion percolation universality.

Findings

Permeability breakdown follows a power-law scaling with model-dependent exponents.

Pressure jumps during clogging follow a universal power-law distribution.

Clogging processes may belong to the same universality class as invasion percolation.

Abstract

Flows through porous media can carry suspended and dissolved materials. These sediments may deposit inside the pore-space and alter its geometry. In turn, the changing pore structure modifies the preferential flow paths, resulting in a strong coupling between structural modifications and transport characteristics. Here, we compare two different models that lead to channel obstruction as a result of subsequent deposition. The first model randomly obstructs pore-throats across the porous medium, while in the second model the pore-throat with the highest flow rate is always obstructed first. By subsequently closing pores, we find that the breakdown of the permeability follows a power-law scaling, whose exponent depends on the obstruction model. The pressure jumps that occur during the obstruction process also follow a power-law distribution with the same universal scaling exponent as the avalanche size distribution of invasion percolation, independent of the model. This result suggests that the clogging processes and invasion percolation may belong to the same universality class.