This chapter continues the expansion of research on the improved two-scale model for carbonate acid stimulation. In actual acid stimulation processes, the internal dynamics within control volume involve not only changes in mass and momentum but the chemical reactions between the acid fluid and the solid matrix and the transfer of energy within the acid stimulation system through thermal convection and conduction. Conversely, the changes in energy in the acid stimulation system can affect the reaction rates between the acid fluid and the solid matrix, as well as the physical properties of the acid fluid. The energy conservation equation for the acid stimulation system, which considers the local thermal equilibrium hypothesis, is proposed to describe the energy changes in the carbonate rock acid stimulation process. Moreover, the mineral composition of the actual carbonate target rock cores is often not single but multi-component. The mass conservation equation for the carbonate rock solid matrix is extended to consider the mass conservation equations for reactive minerals (calcite and dolomite) and non-reactive minerals (secondary minerals) based on the actual mineral composition of the carbonate rock. Finally, a large number of numerical examples are designed to discuss the impact of energy changes in the acid stimulation system and that of mineral heterogeneity on the results of acid stimulation.