Mathematical Programming Models for Shale Oil & Gas Development: A Review and Perspective.

• Comprehensive review of mathematical programming models for shale oil & gas development. • Detailed comparison of publications in five major topic areas: (1) development planning, (2) water management, (3) production optimization, (4) supplies, gathering & processing, and (5) LCA & sustainability. • Highlight of optimization deployment success stories in industry (i.e., optimization value proposition in oil & gas). • Perspective on outstanding research opportunities in the respective field of study. In this paper, we provide a comprehensive review of mathematical programming models for shale oil & gas development, and we offer a perspective on outstanding research opportunities. We distinguish contributions in five major topic areas, namely: (1) development planning, (2) water management, (3) production optimization, (4) supplies, gathering & processing, and (5) life cycle analysis & sustainability. We highlight how various types of mathematical programming models (i.e., linear programs, nonlinear programs, mixed-integer linear programs, mixed-integer nonlinear programs) have been proposed primarily by the Process Systems Engineering community to address the respective decision-making problems, and we highlight instances of successful deployment in industry. Finally, based on a critical assessment of the existing body of work, we identify opportunities for future research across the major topic areas. [ABSTRACT FROM AUTHOR]