Modeling and optimization of carbon capture, utilization, and storage networks: A review of mathematical approaches

This paper presents a systematic literature review (SLR) on mathematical modeling for carbon capture and storage (CCS) and carbon capture, utilization, and storage (CCUS) supply chain network design. The main objective is to examine how mathematical programming methods have been employed to model CCS/CCUS systems by exploring the modeling scope, identifying key network structures, analyzing the primary objectives addressed, and reviewing solution methods used in case studies. Relevant studies were retrieved from Scopus and Web of Science using defined search strings. The review provides a structured classification of models, distinguishing between single-objective and multi-objective formulations. It also categorizes models based on structural design, including two-echelon and multi-echelon frameworks. Additionally, models are classified as deterministic or non-deterministic, with the latter incorporating various forms of uncertainty. Finally, based on this critical classification of mathematical models, along with the modeling scope and current insights, the review highlights key areas for future research to enhance the comprehensiveness and practical relevance of CCS/CCUS modeling. • This paper examines mathematical models for optimizing CCS/CCUS supply chain networks. • CCS/CCUS models are classified based on objectives, structure, and uncertainty. • The review analyzes CCS/CCUS system modelling across key components. • Most CCS/CCUS supply chain models focus on deterministic cost minimization using two-echelon structures. • Future research should develop multi-objective and uncertainty-based CCS/CCUS models.