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In this paper, we first recapitulate some basic notions of the CO<inline-formula> <math display="inline"> <semantics> <msub> <mrow/> <mn>2</mn> </msub> </semantics> </math> </inline-formula> sequestration and numerical model. Next, a mixed model is employed into the CO<inline-formula> <math display="inline"> <semantics> <msub> <mrow/> <mn>2</mn> </msub> </semantics> </math> </inline-formula> sequestration framework, for simulating CO<inline-formula> <math display="inline"> <semantics> <msub> <mrow/> <mn>2</mn> </msub> </semantics> </math> </inline-formula> geological sequestration processes. The last part of the paper makes extensions to evaluation of the effectiveness of CO<inline-formula> <math display="inline"> <semantics> <msub> <mrow/> <mn>2</mn> </msub> </semantics> </math> </inline-formula> sequestration with respect to atmospheric pressure, formation temperature, the initial reactant concentration, fracture aperture, and fracture dip. The results show that reactive Portland cement has a great impact on the effectiveness of CO<inline-formula> <math display="inline"> <semantics> <msub> <mrow/> <mn>2</mn> </msub> </semantics> </math> </inline-formula> sequestration, while the proposed mixed model is robust in simulation.