During geological carbon sequestration, the injected supercritical CO₂, being less dense, floats above the brine. The dissolution of CO₂ into brine helps mitigate the risk of CO₂ leakage. As CO₂ dissolves into the brine, it increases the density of brine in the upper layer, initiating gravity-driven convection (GDC), which significantly enhances the rate of CO₂ dissolution. We derived two empirical formulas to predict the asymptotic dissolution rate driven by GDC in heterogeneous fields.