# FEM and PDE tool for fractured solid

**Repository Path**: qzhang94/fem-and-pde-tool-for-fractured-shale

## Basic Information

- **Project Name**: FEM and PDE tool for fractured solid
- **Description**: The source code of the paper "Numerical modeling of gas flow and solid deformation in unconventional anisotropic shale" published in Computers and Geotechnics!
- **Primary Language**: Unknown
- **License**: MIT
- **Default Branch**: master
- **Homepage**: https://doi.org/10.1016/j.compgeo.2025.107441
- **GVP Project**: No

## Statistics

- **Stars**: 1
- **Forks**: 0
- **Created**: 2025-04-28
- **Last Updated**: 2025-10-07

## Categories & Tags

**Categories**: Uncategorized

**Tags**: FEM, Matlab

## README

# Numerical Modeling of Gas Flow and Solid Deformation in Unconventional Anisotropic Solid

**Author:** Qi ZHANG (University of Macau)
**Language:** [MATLAB](http://www.mathworks.com/products/matlab/)

## Introduction

This repository provides a MATLAB-based framework for simulating gas flow and solid deformation in unconventional anisotropic shale. The code is intended for a variety of scenarios and supports multiple fluid types, finite element formulations, and constitutive models.

### New subfolder of more examples

Please click [here](./FEM_Tool/Source_code/New_cases_after_paper).

### Key Features

- **Versatile fluid models:** Ideal gas, slightly compressible fluids, and incompressible fluids.
- **Finite element options:** Works with T3 (triangular) or T6 (quadratic triangular) elements.
- **Advanced quadrature rules:** Easily extendable to different integration schemes.
- **Node splitting technique:** Incorporates robust methods for handling fractures or discontinuities.
- **Mixed FEM structure:** Built on a solid foundation of mixed finite element methods for coupled problems.

## Acknowledgments

- **Jiamin JIANG** for providing the example code on the node splitting technique (back to 2018 @ Stanford Blume Center).
- **Xian-Han WU** for kindly supplying the basic mixed FEM code structure.
- **Xi-Wen ZHOU** for kindly providing the functions for simple mesh generation and plotting.
- **MESH2D** for Delaunay-based mesh generation in MATLAB.
- [TRIANGULATION_L2Q](https://people.sc.fsu.edu/~jburkardt/m_src/triangulation_l2q/triangulation_l2q.html) function that makes a quadratic triangulation from a linear one.

## Documentation

Each subfolder contains a `README` with brief notes on usage and test examples. These examples are presented to enhance *reproducible science* and offer insight into how the code handles various case studies.

## How to Use

1. **Clone or download** this repository.
2. **Open MATLAB**, navigate to the repository folder, and review the subfolder `README` files for details on each test or example.
3. **Run the MATLAB scripts** or functions as indicated in the subfolder-specific instructions.

## Citation

If this code contributes to your research, please cite it in your publications. Attribution is crucial for encouraging further development and reproducibility in the community.

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