The practice of capturing, storing and utilizing CO2 is becoming key to developing sustainable energy and industrial solutions. The technology promotes the use of fossil fuels, which remain the predominant source of energy worldwide. The effectiveness of the technology is evident in the reduction of CO2 levels in the atmosphere, a significant contribution to the reduction of global greenhouse gas (GHG) emissions and the fight against climate change. However, a notable concern in the realm of geological storage revolves around the potential leakage of CO2 from storage reservoirs. Carbon dioxide has the capability to migrate from the storage site, reaching both the surface and underground formations. Surface leakage presents health risks to humans, animals, and plants. The solution to this problem requires a detailed approach and should be solved through an inverse problem, in which pressure measurements in monitoring wells will be performed frequently to obtain information about the reservoir and possible leaks. Additionally, there are a number of issues with carbon dioxide leakage during oil and gas extraction, as well as various operations at fields. Emphasizing the monitoring of CO2 leakage, this paper underscores the importance of developing an algorithm designed to proactively prevent CO2 leakage in aquifers and depleted reservoirs. Such an initiative is pivotal in the broader context of mitigating greenhouse gas emissions. The paper offers an overview of methodologies for effective monitoring, management and modeling of CO2 leakage and practical approaches to calculation and assessment, contributing to a more complete understanding of the challenges associated with CO2 storage.