Modeling the CO 2 Sequestration Convection Problem Using the Lattice Boltzmann Method

Hassen M. Ouakad

Mathematical Problems in Engineering, 2013, vol. 2013, 1-10

Abstract:

This paper presents an investigation of the density-driven problem that rises during the CO 2 sequestration into saline aquifer. The lattice Boltzmann method (LBM) is implemented in a way to solve this mixing problem (the brine problem along with the solute transport). The CO 2 -brine interface was located at the top of the considered domain. Different Rayleigh numbers were used in order to investigate this problem. When Rayleigh number is low, we got steady-state concentration contours describing a Rayleigh-Bénard type of convection. Moreover, when the Rayleigh number was selected to be big enough, we observe that the system is less stable and a convective fingering is initiated. This instability is caused by a higher density difference between the brine and the sequestrated CO 2 . Note here that the turbulence is not taken into account in the study. After the onset this convective instability, the brine with a high CO 2 concentration migrates down into the porous medium. This study is based on a statistical LBM theory without assuming periodicity in any directions and without considering any type of disturbances in order to turnon the instability behavior.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:846854

DOI: 10.1155/2013/846854

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