CO₂ capture and storage technology is often hampered by CO₂ leakage through natural occurring fractures in the overlying caprock. This work suggests a two-dimensional test case of typical CO₂ injection with possible leakage into freshwater resource. By using this test case in combination with a 1D verification example, the effects of sorption and decay processes are evaluated. Leakage value and buoyancy number reveal that buoyancy is the main mechanism for leakage, and the sorption process delays the arrival of CO₂ at the fracture. The volume translated Peng-Robinson (VTPR) equation of state (EoS) has been modified for accurate material properties of CO₂ and water in a multi-componential flow model.