Numerical validation of an adaptive model for the determination of nonlinear-flow regions in highly heterogeneous porous media

TL;DR

This paper validates an adaptive model for simulating nonlinear flows in highly heterogeneous porous media through extensive numerical experiments, including 3D cases, and uses it to identify slow- and fast-flow regions.

Contribution

It provides a comprehensive numerical validation of an adaptive flow model and demonstrates its application in partitioning flow regions in complex porous media.

Findings

Model accurately predicts flow behavior in heterogeneous media

Effective in identifying slow and fast flow regions

Extends validation to three-dimensional cases

Abstract

An adaptive model for the description of flows in highly heterogeneous porous media is developed in~\cite{FP21,FP23}. There, depending on the magnitude of the fluid's velocity, the constitutive law linking velocity and pressure gradient is selected between two possible options, one better adapted to slow motion and the other to fast motion. We propose here to validate further this adaptive approach by means of more extensive numerical experiments, including a three-dimensional case, as well as to use such approach to determine a partition of the domain into slow- and fast-flow regions.