# A fluid pressure and deformation analysis for geological sequestration of carbon dioxide

## Abstract

We present a hydro-mechanical model and deformation analysis for geological sequestration of carbon dioxide. The model considers the poroelastic effects by taking into account the two-way coupling between the geomechanical response and the fluid flow process in greater detail. In order for analytical solutions, the simplified hydro-mechanical model includes the geomechanical part that relies on the theory of linear elasticity, while the fluid flow is based on the Darcy’s law. The model was derived through coupling the two parts using the standard linear poroelasticity theory. Analytical solutions for fluid pressure field were obtained for a typical geological sequestration scenario and the solutions for ground deformation were obtained using the method of Green’s function. Solutions predict the temporal and spatial variation of fluid pressure, the effect of permeability and elastic modulus on the fluid pressure, the ground surface uplift, and the radial deformation during the entire injection period.

- Authors:

- Publication Date:

- Research Org.:
- Pacific Northwest National Lab. (PNNL), Richland, WA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1047405

- Report Number(s):
- PNNL-SA-82750

Journal ID: ISSN 0098-3004; CGEODT; TRN: US201216%%264

- DOE Contract Number:
- AC05-76RL01830

- Resource Type:
- Journal Article

- Journal Name:
- Computers & Geosciences, 46:31-37

- Additional Journal Information:
- Journal Volume: 46; Journal ID: ISSN 0098-3004

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 54 ENVIRONMENTAL SCIENCES; ANALYTICAL SOLUTION; CARBON DIOXIDE; CARBON SEQUESTRATION; COUPLING; DEFORMATION; ELASTICITY; FLUID FLOW; FLUIDS; INJECTION; PERMEABILITY; SIMULATION; SURFACES; VARIATIONS; geological sequestration, geomechanics, poro-elasticity, hydro-mechanical

### Citation Formats

```
Xu, Zhijie, Fang, Yilin, Scheibe, Timothy D., and Bonneville, Alain.
```*A fluid pressure and deformation analysis for geological sequestration of carbon dioxide*. United States: N. p., 2012.
Web. doi:10.1016/j.cageo.2012.04.020.

```
Xu, Zhijie, Fang, Yilin, Scheibe, Timothy D., & Bonneville, Alain.
```*A fluid pressure and deformation analysis for geological sequestration of carbon dioxide*. United States. doi:10.1016/j.cageo.2012.04.020.

```
Xu, Zhijie, Fang, Yilin, Scheibe, Timothy D., and Bonneville, Alain. Thu .
"A fluid pressure and deformation analysis for geological sequestration of carbon dioxide". United States. doi:10.1016/j.cageo.2012.04.020.
```

```
@article{osti_1047405,
```

title = {A fluid pressure and deformation analysis for geological sequestration of carbon dioxide},

author = {Xu, Zhijie and Fang, Yilin and Scheibe, Timothy D. and Bonneville, Alain},

abstractNote = {We present a hydro-mechanical model and deformation analysis for geological sequestration of carbon dioxide. The model considers the poroelastic effects by taking into account the two-way coupling between the geomechanical response and the fluid flow process in greater detail. In order for analytical solutions, the simplified hydro-mechanical model includes the geomechanical part that relies on the theory of linear elasticity, while the fluid flow is based on the Darcy’s law. The model was derived through coupling the two parts using the standard linear poroelasticity theory. Analytical solutions for fluid pressure field were obtained for a typical geological sequestration scenario and the solutions for ground deformation were obtained using the method of Green’s function. Solutions predict the temporal and spatial variation of fluid pressure, the effect of permeability and elastic modulus on the fluid pressure, the ground surface uplift, and the radial deformation during the entire injection period.},

doi = {10.1016/j.cageo.2012.04.020},

journal = {Computers & Geosciences, 46:31-37},

issn = {0098-3004},

number = ,

volume = 46,

place = {United States},

year = {2012},

month = {6}

}