Two-Phase Flow Complexity in Heterogeneous Media

TL;DR

This paper explores the complexity of two-phase air/water flow in heterogeneous soils, analyzing how heterogeneity affects flow parameters and pattern formation using numerical simulations and network analysis.

Contribution

It introduces a comprehensive approach combining numerical modeling and complex network analysis to understand two-phase flow in heterogeneous porous media.

Findings

Heterogeneity significantly influences permeability and capillary pressure evolution.

Numerical simulations reveal complex flow pattern formation.

Network analysis uncovers emergent flow structures.

Abstract

In this study, we investigate the appeared complexity of two-phase flow (air/water) in a heterogeneous soil where the supposed porous media is non-deformable media which is under the timedependent gas pressure. After obtaining of governing equations and considering the capillary pressuresaturation and permeability functions, the evolution of the model unknown parameters were obtained. In this way, using COMSOL (FEMLAB) and fluid flow/script Module, the role of heterogeneity in intrinsic permeability was analysed. Also, the evolution of relative permeability of wetting and non-wetting fluid, capillary pressure and other parameters were elicited. In the last part, a complex network approach to analysis of emerged patterns will be employed.