# A phase-field modeling approach of fracture propagation in poroelastic media

## TL;DR

This paper introduces a phase-field model for simulating fracture propagation in poroelastic media, integrating Biot's theory with a fluid-interpolating phase field, verified through numerical examples and analytical comparisons.

## Contribution

It presents a novel phase-field approach for fracture in poroelastic materials, coupling fluid flow and fracture mechanics within a unified framework.

## Key findings

- Model accurately predicts fracture in poroelastic media
- Successful implementation in Comsol Multiphysics
- Demonstrates capability with 2D and 3D fluid injection simulations

## Abstract

This paper proposes a phase field model for fracture in poroelastic media. The porous medium is modeled based on the classical Biot poroelasticity theory and the fracture behavior is controlled by the phase field model. Moreover, the fracture propagation is driven by the elastic energy where the phase field is used as an interpolation function to transit fluid property from the intact medium to the fully broken one. We use a segregated (staggered) scheme and implement our approach in Comsol Multiphysics. The proposed model is verified by a single-phase solid subjected to tension and a 2D specimen subjected to an increasing internal pressure. We also compare our results with analytical solutions. Finally, we show 2D and 3D examples of internal fluid injection to illustrate the capability of the proposed approach.