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A mathematical model of the footprint of the CO2 plume during and after injection in deep saline aquifer systems.
- Source :
- Energy Procedia; Feb2009, Vol. 1 Issue 1, p3429-3436, 8p
- Publication Year :
- 2009
-
Abstract
- Abstract: We present a sharp-interface mathematical model of CO<subscript>2</subscript> migration in saline aquifers, which accounts for gravity override, capillary trapping, natural groundwater flow, and the shape of the plume during the injection period. The model leads to a nonlinear advection–diffusion equation, where the diffusive term is due to buoyancy forces, not physical diffusion. For the case of interest in geological CO<subscript>2</subscript> storage, in which the mobility ratio is very unfavorable, the mathematical model can be simplified to a hyperbolic equation. We present a complete analytical solution to the hyperbolic model. The main outcome is a closed-form expression that predicts the ultimate footprint on the CO<subscript>2</subscript> plume, and the time scale required for complete trapping. The capillary trapping coefficient emerges as the key parameter in the assessment of CO<subscript>2</subscript> storage in saline aquifers. The expressions derived here have immediate applicability to the risk assessment and capacity estimates of CO<subscript>2</subscript> sequestration at the basin scale. In a companion paper [Szulczewski and Juanes, GHGT-9, Paper 463 (2008)] we apply the model to specific geologic basins. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 18766102
- Volume :
- 1
- Issue :
- 1
- Database :
- Supplemental Index
- Journal :
- Energy Procedia
- Publication Type :
- Academic Journal
- Accession number :
- 41785584
- Full Text :
- https://doi.org/10.1016/j.egypro.2009.02.133