February 2, 2014
Journal Article

Uncertainty quantification for the impact of injection rate fluctuation on the geomechanical response of geological carbon sequestration

Abstract

We present an analysis of the geomechanical effects of injection rate fluctuations for geological sequestration of carbon dioxide (CO2). Initially, we present analytical solutions for the effects of injection rate fluctuations on CO2 fluid pressure spatial distribution and temporal evolution for a typical injection scenario. Numerical calculations are performed using a finite element method to investigate the effects of injection rate fluctuations on geomechanical deformation, stresses, and potential failure of the aquifer and caprock layers. The numerical method was first validated by the fluid pressure distribution’s good agreement with the analytical solution. It was shown that for any Gaussian fluctuations of injection rate Q with given mean Q ¯ and variance e_Q, the coefficients of variance for fluid pressure (?_p=e_p/p ¯ ), deformation (?_u=e_u/u ¯ ), and stresses (?_s=e_s/s ¯ ) increase linearly with the coefficient of variance for injection rate (?_Q=e_Q/Q ¯ ). The proportional constants are identified, and the fluctuations have the most pronounced effect on the geomechanical stresses, and, therefore, on the potential failure of the aquifer and caprock layers. Instead of expensive computational simulation, this study provides an efficient tool to estimate the geomechanical response variance to injection rate fluctuation. A failure analysis was presented based on the numerical results, where probability of failure was estimated for fluctuating injection rates with different mean and variance during the entire injection period. It was found that with increasing injection rate fluctuation, the failure probability increases significantly. Therefore, the risk associated with injection rate fluctuations should be carefully evaluated.

Revised: May 22, 2014 | Published: February 2, 2014

Citation

Bao J., Y. Chu, Z. Xu, A.M. Tartakovsky, and Y. Fang. 2014. Uncertainty quantification for the impact of injection rate fluctuation on the geomechanical response of geological carbon sequestration. International Journal of Greenhouse Gas Control 20. PNNL-SA-93937. doi:10.1016/j.ijggc.2013.10.023