Many climate change events related to the carbon emissions push the worldwide action on the CO2 sequestration to achieve the carbon neutrality. Among of them, the must-do list includes the CO2 geological storage which has potentials on the leakage of the sequestrated CO2 back to atmosphere. The new "geological mineral CO2 carbonation” provides an alternative routine to rapidly sequester CO2 by means of chemical reactions, and thus to permanently store CO2 as the stable carbonates. The exothermic nature of the mineral carbonation reaction can release recoverable heat which can potentially compensate the energy consumption during the CO2 sequestration. This study mainly addresses a two-dimensional model on the geological mineral CO2 carbonation (herein the geological formation of peridotite), by which effects of temperature conditions on the reaction rate and their quantity of the sequestrated CO2 and exothermic heat energy are discussed. Results reveals a typical case of the average temperature elevation of peridotite by over 60 oC (reaching 248oC) after 2 years, in case of the initial temperature of the geological peridotite formation at 185oC and that of the fluid inflow CO2 at 37oC. In this typical case, the average CO2 sequestration rate in peridotite can achieve 123.71 kg/(year·m³), meaning that the permanent sequestration of CO2 generated from a 600 MW coal-fired power plant within its 20-year operation only demands a geological peridotite formation of 1 km 2 in its area and 160 m in its thickness. By changing both the fluid inflow temperature and the initial peridotite temperature to be 110 ~ 150oC, the average CO2 sequestration rate can be increased by 29 ~ 45% compared to that in the typical case, and leads to a temperature rise of 81 ~ 125oC after 2 years, achieving a high-temperature geothermal condition which the temperature is greater than 150oC. This heat production from the geological mineral CO2 carbonation can profitably compensate the energy consumption in the carbon capture and storage (CCS) projects via the geological mineral CO2 carbonation, leading a shift of an expense in $25.041/t CO2 in China (the current general case) to an earning in $24.096/t CO2 in a best case at the price of the global carbon emission allowance converge.