# Multiscale framework for predicting the coupling between deformation and fluid diffusion in porous rocks

## Abstract

In this project, a predictive multiscale framework will be developed to simulate the strong coupling between solid deformations and fluid diffusion in porous rocks. We intend to improve macroscale modeling by incorporating fundamental physical modeling at the microscale in a computationally efficient way. This is an essential step toward further developments in multiphysics modeling, linking hydraulic, thermal, chemical, and geomechanical processes. This research will focus on areas where severe deformations are observed, such as deformation bands, where classical phenomenology breaks down. Multiscale geometric complexities and key geomechanical and hydraulic attributes of deformation bands (e.g., grain sliding and crushing, and pore collapse, causing interstitial fluid expulsion under saturated conditions), can significantly affect the constitutive response of the skeleton and the intrinsic permeability. Discrete mechanics (DEM) and the lattice Boltzmann method (LBM) will be used to probe the microstructure---under the current state---to extract the evolution of macroscopic constitutive parameters and the permeability tensor. These evolving macroscopic constitutive parameters are then directly used in continuum scale predictions using the finite element method (FEM) accounting for the coupled solid deformation and fluid diffusion. A particularly valuable aspect of this research is the thorough quantitative verification and validation program at different scales. The multiscale homogenizationmore »

- Authors:

- Publication Date:

- Research Org.:
- Northwestern Univ., Evanston, IL (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1057395

- Report Number(s):
- DOE/ER15980/FINAL

- DOE Contract Number:
- FG02-08ER15980

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 58 GEOSCIENCES; Multiscale, fluid flow, porosity, localization, lattice Boltzman, finite element method

### Citation Formats

```
Andrade, JosÃÂ© E, and Rudnicki, John W.
```*Multiscale framework for predicting the coupling between deformation and fluid diffusion in porous rocks*. United States: N. p., 2012.
Web. doi:10.2172/1057395.

```
Andrade, JosÃÂ© E, & Rudnicki, John W.
```*Multiscale framework for predicting the coupling between deformation and fluid diffusion in porous rocks*. United States. doi:10.2172/1057395.

```
Andrade, JosÃÂ© E, and Rudnicki, John W. Fri .
"Multiscale framework for predicting the coupling between deformation and fluid diffusion in porous rocks". United States. doi:10.2172/1057395. https://www.osti.gov/servlets/purl/1057395.
```

```
@article{osti_1057395,
```

title = {Multiscale framework for predicting the coupling between deformation and fluid diffusion in porous rocks},

author = {Andrade, JosÃÂ© E and Rudnicki, John W},

abstractNote = {In this project, a predictive multiscale framework will be developed to simulate the strong coupling between solid deformations and fluid diffusion in porous rocks. We intend to improve macroscale modeling by incorporating fundamental physical modeling at the microscale in a computationally efficient way. This is an essential step toward further developments in multiphysics modeling, linking hydraulic, thermal, chemical, and geomechanical processes. This research will focus on areas where severe deformations are observed, such as deformation bands, where classical phenomenology breaks down. Multiscale geometric complexities and key geomechanical and hydraulic attributes of deformation bands (e.g., grain sliding and crushing, and pore collapse, causing interstitial fluid expulsion under saturated conditions), can significantly affect the constitutive response of the skeleton and the intrinsic permeability. Discrete mechanics (DEM) and the lattice Boltzmann method (LBM) will be used to probe the microstructure---under the current state---to extract the evolution of macroscopic constitutive parameters and the permeability tensor. These evolving macroscopic constitutive parameters are then directly used in continuum scale predictions using the finite element method (FEM) accounting for the coupled solid deformation and fluid diffusion. A particularly valuable aspect of this research is the thorough quantitative verification and validation program at different scales. The multiscale homogenization framework will be validated using X-ray computed tomography and 3D digital image correlation in situ at the Advanced Photon Source in Argonne National Laboratories. Also, the hierarchical computations at the specimen level will be validated using the aforementioned techniques in samples of sandstone undergoing deformation bands.},

doi = {10.2172/1057395},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2012},

month = {12}

}