In this thesis, the overview of the potential of carbon capture and storage projects is presented. As carbon dioxide is one of the main contributors to total greenhouse gas emissions, this could be a way to mitigate global greenhouse gas emissions in the future. The main problem of carbon dioxide injection is the carbonation process, which causes the increase of cement’s permeability and reduction of its compressive strength. This could ultimately lead to the loss of well integrity. One of the methods which could monitor the carbonation in real-time is the acoustic method. The sonic velocity of ultrasonic waves which go through a certain cement density is in correlation with its compressive strength. This is of a great importance as the compressive strength of the cement may be monitored with the acoustic method. This method is already widely applicable as the Ultrasonic Pulse Velocity method to determine the quality of the concrete. Together with the correlation, the crack investigation also took place to determine the depth of cracks and correlate them with sonic velocity. Finally, the overall experimental procedure with the necessary apparatus is presented in this thesis along with the results and steps which were so far made.