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

Drouven, Markus G.; Cafaro, Diego C.; Grossmann, Ignacio E.

doi:10.1016/j.compchemeng.2023.108317

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

Journal Article · Fri Jun 02 00:00:00 EDT 2023 · Computers and Chemical Engineering

DOI:https://doi.org/10.1016/j.compchemeng.2023.108317· OSTI ID:1991792

^[1]; Cafaro, Diego C. ^[2]; Grossmann, Ignacio E. ^[3]

National Energy Technology Lab. (NETL), Pittsburgh, PA (United States)
Universidad Nacional del Litoral (Argentina)
Carnegie Mellon Univ., Pittsburgh, PA (United States)

Here, 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.

View Accepted Manuscript (DOE)

Research Organization:: National Energy Technology Laboratory (NETL), Pittsburgh, PA, Morgantown, WV, and Albany, OR (United States)

Sponsoring Organization:: USDOE Office of Fossil Energy (FE)

OSTI ID:: 1991792

Report Number(s):: DOE/NETL-2023/3880

Journal Information:: Computers and Chemical Engineering, Vol. 177; ISSN 0098-1354

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (95)

Optimal design of water networks for shale gas hydraulic fracturing including economic and environmental criteria López-Díaz, Dulce Celeste; Lira-Barragán, Luis Fernando; Rubio-Castro, Eusiel Clean Technologies and Environmental Policy, Vol. 20, Issue 10 https://doi.org/10.1007/s10098-018-1611-6	journal	September 2018
Technologies for oil and gas production: Present and future Economides, Michael J.; Nikolaou, Michael AIChE Journal, Vol. 57, Issue 8 https://doi.org/10.1002/aic.12714	journal	July 2011
Design and optimization of shale gas energy systems: Overview, research challenges, and future directions Gao, Jiyao; You, Fengqi Computers & Chemical Engineering, Vol. 106 https://doi.org/10.1016/j.compchemeng.2017.01.032	journal	November 2017
Exploring the benefits of utilizing small modular device for sustainable and flexible shale gas water management Cao, Kaiyu; Sitapure, Niranjan; Kwon, Joseph Sang-Il Journal of Cleaner Production, Vol. 384 https://doi.org/10.1016/j.jclepro.2022.135282	journal	January 2023
Mining Oil Shale Crookston, Robert B. SAE Technical Paper Series https://doi.org/10.4271/750724	conference	February 1975
Optimization of enhanced oil recovery operations in unconventional reservoirs Calderón, Andrés J.; Pekney, Natalie J. Applied Energy, Vol. 258 https://doi.org/10.1016/j.apenergy.2019.114072	journal	January 2020
Optimization models for impaired water management in active shale gas development areas Drouven, Markus G.; Grossmann, Ignacio E. Journal of Petroleum Science and Engineering, Vol. 156 https://doi.org/10.1016/j.petrol.2017.06.032	journal	July 2017
Optimal planning and infrastructure development for shale gas production Arredondo-Ramírez, Karla; Ponce-Ortega, José María; El-Halwagi, Mahmoud M. Energy Conversion and Management, Vol. 119 https://doi.org/10.1016/j.enconman.2016.04.038	journal	July 2016
Holistic Planning Model for Sustainable Water Management in the Shale Gas Industry Carrero-Parreño, Alba; Reyes-Labarta, Juan A.; Salcedo-Díaz, Raquel Industrial & Engineering Chemistry Research, Vol. 57, Issue 39 https://doi.org/10.1021/acs.iecr.8b02055	journal	September 2018
Petroleum production optimization – A static or dynamic problem? Foss, Bjarne; Knudsen, Brage Rugstad; Grimstad, Bjarne Computers & Chemical Engineering, Vol. 114 https://doi.org/10.1016/j.compchemeng.2017.10.009	journal	June 2018
Optimal Water Management under Uncertainty for Shale Gas Production Lira-Barragán, Luis Fernando; Ponce-Ortega, José María; Guillén-Gosálbez, Gonzalo Industrial & Engineering Chemistry Research, Vol. 55, Issue 5 https://doi.org/10.1021/acs.iecr.5b02748	journal	January 2016
Lagrangian relaxation based decomposition for well scheduling in shale-gas systems Knudsen, Brage Rugstad; Grossmann, Ignacio E.; Foss, Bjarne Computers & Chemical Engineering, Vol. 63 https://doi.org/10.1016/j.compchemeng.2014.02.005	journal	April 2014
Well Placement, Infrastructure Design, Facility Allocation, and Production Planning in Multireservoir Oil Fields with Surface Facility Networks Tavallali, M. S.; Karimi, I. A.; Halim, A. Industrial & Engineering Chemistry Research, Vol. 53, Issue 27 https://doi.org/10.1021/ie403574e	journal	June 2014
Optimization of shale gas field development using direct search techniques and reduced-physics models Wilson, Kurt C.; Durlofsky, Louis J. Journal of Petroleum Science and Engineering, Vol. 108 https://doi.org/10.1016/j.petrol.2013.04.019	journal	August 2013
Reservoir simulation and optimization of Huff-and-Puff operations in the Bakken Shale Sanchez-Rivera, Daniel; Mohanty, Kishore; Balhoff, Matthew Fuel, Vol. 147 https://doi.org/10.1016/j.fuel.2014.12.062	journal	May 2015
Shale gas field development planning under production profile uncertainty Peng, Zedong; Li, Can; Grossmann, Ignacio E. AIChE Journal, Vol. 68, Issue 1 https://doi.org/10.1002/aic.17439	journal	September 2021
Optimal design and operation for simultaneous shale gas NGL recovery and LNG re-gasification under uncertainties Wang, Meiqian; Xu, Qiang Chemical Engineering Science, Vol. 112 https://doi.org/10.1016/j.ces.2014.03.021	journal	June 2014
Well placement optimization subject to realistic field development constraints Jesmani, Mansoureh; Bellout, Mathias C.; Hanea, Remus Computational Geosciences, Vol. 20, Issue 6 https://doi.org/10.1007/s10596-016-9584-1	journal	July 2016
Macro-economic multi-objective input-output model for minimizing CO ₂ emissions: Application to the U.S. economy Pascual-González, Janire; Jiménez-Esteller, Laureano; Guillén-Gosálbez, Gonzalo AIChE Journal, Vol. 62, Issue 10 https://doi.org/10.1002/aic.15376	journal	July 2016
Strategic Planning for Optimal Management of Different Types of Shale Gas Wastewater Serrano-Areválo, Tania Itzel; Lira-Barragán, Luis Fernando; El-Halwagi, Mahmoud M. ACS Sustainable Chemistry & Engineering, Vol. 10, Issue 4 https://doi.org/10.1021/acssuschemeng.1c06610	journal	January 2022
Optimal use of hybrid feedstock, switchgrass and shale gas for the simultaneous production of hydrogen and liquid fuels Martín, Mariano; Grossmann, Ignacio E. Energy, Vol. 55 https://doi.org/10.1016/j.energy.2013.04.005	journal	June 2013
Surface facility optimization for combined shale oil and gas development strategies Montagna, Agustín F.; Cafaro, Diego C.; Grossmann, Ignacio E. Optimization and Engineering https://doi.org/10.1007/s11081-022-09775-8	journal	November 2022
Lithium Recovery from Oil and Gas Produced Water: A Need for a Growing Energy Industry Kumar, Amit; Fukuda, Hiroki; Hatton, T. Alan ACS Energy Letters, Vol. 4, Issue 6 https://doi.org/10.1021/acsenergylett.9b00779	journal	May 2019
Abraham Charnes and W. W. Cooper (et al.): A Brief History of a Long Collaboration in Developing Industrial Uses of Linear Programming Cooper, W. W. Operations Research, Vol. 50, Issue 1 https://doi.org/10.1287/opre.50.1.35.17778	journal	February 2002
A Mixed-Integer Linear Programming Model for the Design of Shale Gas Industrial Parks Díaz-Gómez, Julio C.; Caballero, José A.; Jiménez-Gutiérrez, Arturo ACS Sustainable Chemistry & Engineering, Vol. 9, Issue 26 https://doi.org/10.1021/acssuschemeng.1c01608	journal	June 2021
Stochastic programming models for optimal shale well development and refracturing planning under uncertainty Drouven, Markus G.; Grossmann, Ignacio E.; Cafaro, Diego C. AIChE Journal, Vol. 63, Issue 11 https://doi.org/10.1002/aic.15804	journal	June 2017
Bi-objective optimization of water management in shale gas exploration with uncertainty: A case study from Sichuan, China Ren, Kaipeng; Tang, Xu; Jin, Yi Resources, Conservation and Recycling, Vol. 143 https://doi.org/10.1016/j.resconrec.2019.01.003	journal	April 2019
Optimal planning of artificial lift operations in a shale gas multiwell pad Achkar, Victoria G.; Cafaro, Vanina G.; Méndez, Carlos A. AIChE Journal, Vol. 67, Issue 4 https://doi.org/10.1002/aic.17149	journal	January 2021
Mixed-integer programming models for line pressure optimization in shale gas gathering systems Drouven, Markus G.; Grossmann, Ignacio E. Journal of Petroleum Science and Engineering, Vol. 157 https://doi.org/10.1016/j.petrol.2017.07.026	journal	August 2017
Optimal shale oil and gas investments in the United States Tan, Siah Hong; Barton, Paul I. Energy, Vol. 141 https://doi.org/10.1016/j.energy.2017.09.092	journal	December 2017
Multiobjective Optimization Model for Minimizing Cost and Environmental Impact in Shale Gas Water and Wastewater Management Bartholomew, Timothy V.; Mauter, Meagan S. ACS Sustainable Chemistry & Engineering, Vol. 4, Issue 7 https://doi.org/10.1021/acssuschemeng.6b00372	journal	June 2016
Optimal design and operations of supply chain networks for water management in shale gas production: MILFP model and algorithms for the water-energy nexus Gao, Jiyao; You, Fengqi AIChE Journal, Vol. 61, Issue 4 https://doi.org/10.1002/aic.14705	journal	December 2014
Life cycle assessment of greenhouse gas emissions and water-energy optimization for shale gas supply chain planning based on multi-level approach: Case study in Barnett, Marcellus, Fayetteville, and Haynesville shales Chen, Yizhong; He, Li; Guan, Yanlong Energy Conversion and Management, Vol. 134 https://doi.org/10.1016/j.enconman.2016.12.019	journal	February 2017
Multi-operational planning of shale gas pad development Ondeck, Abigail; Drouven, Markus; Blandino, Nathan Computers & Chemical Engineering, Vol. 126 https://doi.org/10.1016/j.compchemeng.2019.03.035	journal	July 2019
Economic and environmental strategic water management in the shale gas industry: Application of cooperative game theory Carrero‐Parreño, Alba; Quirante, Natalia; Ruiz‐Femenia, Rubén AIChE Journal, Vol. 65, Issue 11 https://doi.org/10.1002/aic.16725	journal	July 2019
Optimization of oil shale pyrolysis Wen, C. S.; Yen, T. F. Chemical Engineering Science, Vol. 32, Issue 3 https://doi.org/10.1016/0009-2509(77)80221-2	journal	January 1977
A review of technological advances and open challenges for oil and gas drilling systems engineering Epelle, Emmanuel I.; Gerogiorgis, Dimitrios I. AIChE Journal, Vol. 66, Issue 4 https://doi.org/10.1002/aic.16842	journal	November 2019
An integrated MILP model for optimal planning of multi-period onshore gas field gathering pipeline system Hong, Bingyuan; Li, Xiaoping; Di, Guojia Computers & Industrial Engineering, Vol. 146 https://doi.org/10.1016/j.cie.2020.106479	journal	August 2020
An unconventional mindset for shale gas surface facilities Guarnone, M.; Rossi, F.; Negri, E. Journal of Natural Gas Science and Engineering, Vol. 6 https://doi.org/10.1016/j.jngse.2012.01.002	journal	May 2012
Simulation and optimization of hydraulic fracturing in shale reservoirs: A case study in the Permian Lucaogou formation, China Lu, Chunhua; Jiang, Hanqiao; Yang, Jinlong Energy Reports, Vol. 8 https://doi.org/10.1016/j.egyr.2022.01.189	journal	November 2022
Mixed-integer linear programming models and algorithms for generation and transmission expansion planning of power systems Li, Can; Conejo, Antonio J.; Liu, Peng European Journal of Operational Research, Vol. 297, Issue 3 https://doi.org/10.1016/j.ejor.2021.06.024	journal	March 2022
Recent contributions to the optimal design of pipeline networks in the energy industry using mathematical programming Cafaro, Diego C.; Presser, Demian J.; Grossmann, Ignacio E. TOP, Vol. 30, Issue 3 https://doi.org/10.1007/s11750-022-00635-3	journal	July 2022
Fair shale gas water cost distribution using Nash bargaining game Carrero-Parreño, Alba; Dua, Vivek; Papageorgiou, Lazaros G. Chemical Engineering Research and Design, Vol. 176 https://doi.org/10.1016/j.cherd.2021.09.005	journal	December 2021
Aggregation and Allocation of Greenhouse Gas Emissions in Oil and Gas Production: Implications for Life-Cycle Greenhouse Gas Burdens Chen, Qining; Dunn, Jennifer B.; Allen, David T. ACS Sustainable Chemistry & Engineering, Vol. 7, Issue 20 https://doi.org/10.1021/acssuschemeng.9b03136	journal	September 2019
Systematically Incorporating Environmental Objectives into Shale Gas Pipeline Development: A Binary Integer, Multiobjective Spatial Optimization Model Kroetz, Kailin; Shih, Jhih-Shyang; Siikamäki, Juha V. Environmental Science & Technology, Vol. 53, Issue 12 https://doi.org/10.1021/acs.est.9b01583	journal	May 2019
Mixed-integer linear programming for scheduling unconventional oil field development Soni, Akhilesh; Linderoth, Jeff; Luedtke, James Optimization and Engineering, Vol. 22, Issue 3 https://doi.org/10.1007/s11081-020-09527-6	journal	July 2020
Economic and Environmental Life Cycle Optimization of Noncooperative Supply Chains and Product Systems: Modeling Framework, Mixed-Integer Bilevel Fractional Programming Algorithm, and Shale Gas Application Gao, Jiyao; You, Fengqi ACS Sustainable Chemistry & Engineering, Vol. 5, Issue 4 https://doi.org/10.1021/acssuschemeng.7b00002	journal	March 2017
A MINLP model for combination pressurization optimization of shale gas gathering system Zhou, Jun; Zhang, Hao; Li, Zelong Journal of Petroleum Exploration and Production Technology, Vol. 12, Issue 11 https://doi.org/10.1007/s13202-022-01495-0	journal	April 2022
Neutrosophic Optimization Model and Computational Algorithm for Optimal Shale Gas Water Management under Uncertainty Ahmad, Firoz; Adhami, Ahmad Yusuf; Smarandache, Florentin Symmetry, Vol. 11, Issue 4 https://doi.org/10.3390/sym11040544	journal	April 2019
Optimal tracking control of artificial gas-lift process Shi, Jing; Al-Durra, Ahmed; Boiko, Igor Computers & Chemical Engineering, Vol. 117 https://doi.org/10.1016/j.compchemeng.2018.05.011	journal	September 2018
Optimization and Selection of Reforming Approaches for Syngas Generation from Natural/Shale Gas Noureldin, Mohamed M. B.; Elbashir, Nimir O.; El-Halwagi, Mahmoud M. Industrial & Engineering Chemistry Research, Vol. 53, Issue 5 https://doi.org/10.1021/ie402382w	journal	November 2013
Optimization of water management strategies for shale gas extraction considering uncertainty in water availability and flowback water Hernández-Pérez, Luis Germán; Lira-Barragán, Luis Fernando; El-Halwagi, Mahmoud M. Chemical Engineering Research and Design, Vol. 186 https://doi.org/10.1016/j.cherd.2022.07.054	journal	October 2022
Investment optimization model for freshwater acquisition and wastewater handling in shale gas production Yang, Linlin; Grossmann, Ignacio E.; Mauter, Meagan S. AIChE Journal, Vol. 61, Issue 6 https://doi.org/10.1002/aic.14804	journal	April 2015
Strategic planning, design, and development of the shale gas supply chain network Cafaro, Diego C.; Grossmann, Ignacio E. AIChE Journal, Vol. 60, Issue 6 https://doi.org/10.1002/aic.14405	journal	March 2014
Optimization models for shale gas water management Yang, Linlin; Grossmann, Ignacio E.; Manno, Jeremy AIChE Journal, Vol. 60, Issue 10 https://doi.org/10.1002/aic.14526	journal	July 2014
Life cycle greenhouse gas emissions of Marcellus shale gas Jiang, Mohan; Michael Griffin, W.; Hendrickson, Chris Environmental Research Letters, Vol. 6, Issue 3 https://doi.org/10.1088/1748-9326/6/3/034014	journal	July 2011
The impact of shale gas in the chemical industry Siirola, Jeffrey J. AIChE Journal, Vol. 60, Issue 3 https://doi.org/10.1002/aic.14368	journal	January 2014
Environmental and Economic Water Management in Shale Gas Extraction Caballero, José A.; Labarta, Juan A.; Quirante, Natalia Sustainability, Vol. 12, Issue 4 https://doi.org/10.3390/su12041686	journal	February 2020
Optimization models for planning shale gas well refracture treatments Cafaro, Diego C.; Drouven, Markus G.; Grossmann, Ignacio E. AIChE Journal, Vol. 62, Issue 12 https://doi.org/10.1002/aic.15330	journal	June 2016
Sequential short-term optimization of gas lift using linear programming: A case study of a mature oil field in Russia Jeong, Daein; Yoshioka, Katsuhei; Jeong, Hoonyoung Journal of Petroleum Science and Engineering, Vol. 205 https://doi.org/10.1016/j.petrol.2021.108767	journal	October 2021
Multi-period planning, design, and strategic models for long-term, quality-sensitive shale gas development Drouven, Markus G.; Grossmann, Ignacio E. AIChE Journal, Vol. 62, Issue 7 https://doi.org/10.1002/aic.15174	journal	March 2016
Designing shale-well proxy models for field development and production optimization problems Knudsen, Brage Rugstad; Foss, Bjarne Journal of Natural Gas Science and Engineering, Vol. 27 https://doi.org/10.1016/j.jngse.2015.08.005	journal	November 2015
Multi-system shale gas supply chain planning with development and resource arrangements Ondeck, Abigail; Drouven, Markus; Blandino, Nathan Computers & Chemical Engineering, Vol. 127 https://doi.org/10.1016/j.compchemeng.2019.05.004	journal	August 2019
Multi‐period design and planning model of shale gas field development Peng, Zedong; Li, Can; Grossmann, Ignacio E. AIChE Journal, Vol. 67, Issue 8 https://doi.org/10.1002/aic.17195	journal	March 2021
Can Modular Manufacturing Be the Next Game-Changer in Shale Gas Supply Chain Design and Operations for Economic and Environmental Sustainability? Gao, Jiyao; You, Fengqi ACS Sustainable Chemistry & Engineering, Vol. 5, Issue 11 https://doi.org/10.1021/acssuschemeng.7b02081	journal	October 2017
Deterministic electric power infrastructure planning: Mixed-integer programming model and nested decomposition algorithm Lara, Cristiana L.; Mallapragada, Dharik S.; Papageorgiou, Dimitri J. European Journal of Operational Research, Vol. 271, Issue 3 https://doi.org/10.1016/j.ejor.2018.05.039	journal	December 2018
Process systems engineering perspective on the planning and development of oil fields Tavallali, M. Sadegh; Karimi, I. A.; Baxendale, D. AIChE Journal, Vol. 62, Issue 8 https://doi.org/10.1002/aic.15209	journal	March 2016
Shale gas pad development planning under price uncertainty Li, Can; Eason, John P.; Drouven, Markus G. AIChE Journal, Vol. 66, Issue 6 https://doi.org/10.1002/aic.16933	journal	February 2020
Model of the economic efficiency of the exploitation of oil shale in comparison with other mineral sources of energy Gurfel, B. Applied Energy, Vol. 5, Issue 3 https://doi.org/10.1016/0306-2619(79)90037-0	journal	July 1979
Black hole particle swarm optimization for well placement optimization Harb, Ahmad; Kassem, Hussein; Ghorayeb, Kassem Computational Geosciences, Vol. 24, Issue 6 https://doi.org/10.1007/s10596-019-09887-8	journal	September 2019
Optimal dynamic allocation of mobile plants to monetize associated or stranded natural gas, part II: Dealing with uncertainty Tan, Siah Hong; Barton, Paul I. Energy, Vol. 96 https://doi.org/10.1016/j.energy.2015.12.069	journal	February 2016
A novel conceptual design by integrating NGL recovery and LNG regasification processes for maximum energy savings Wang, Meiqian; Zhang, Jian; Xu, Qiang AIChE Journal, Vol. 59, Issue 12 https://doi.org/10.1002/aic.14231	journal	October 2013
An optimization framework for the integration of water management and shale gas supply chain design Guerra, Omar J.; Calderón, Andrés J.; Papageorgiou, Lazaros G. Computers & Chemical Engineering, Vol. 92 https://doi.org/10.1016/j.compchemeng.2016.03.025	journal	September 2016
Continuous‐time formulations for the optimal planning of multiple refracture treatments in a shale gas well Cafaro, Diego C.; Drouven, Markus G.; Grossmann, Ignacio E. AIChE Journal, Vol. 64, Issue 5 https://doi.org/10.1002/aic.16095	journal	February 2018
Shale-gas scheduling for natural-gas supply in electric power production Knudsen, Brage Rugstad; Whitson, Curtis H.; Foss, Bjarne Energy, Vol. 78 https://doi.org/10.1016/j.energy.2014.09.076	journal	December 2014
Optimization of water-energy nexus in shale gas exploration: From production to transmission Oke, Doris; Mukherjee, Rajib; Sengupta, Debalina Energy, Vol. 183 https://doi.org/10.1016/j.energy.2019.06.104	journal	September 2019
Shale Gas Supply Chain Design and Operations toward Better Economic and Life Cycle Environmental Performance: MINLP Model and Global Optimization Algorithm Gao, Jiyao; You, Fengqi ACS Sustainable Chemistry & Engineering, Vol. 3, Issue 7 https://doi.org/10.1021/acssuschemeng.5b00122	journal	June 2015
On the optimization of water-energy nexus in shale gas network under price uncertainties Oke, Doris; Mukherjee, Rajib; Sengupta, Debalina Energy, Vol. 203 https://doi.org/10.1016/j.energy.2020.117770	journal	July 2020
Capacity Planning for Modular and Transportable Infrastructure for Shale Gas Production and Processing Allen, R. Cory; Allaire, Douglas; El-Halwagi, Mahmoud M. Industrial & Engineering Chemistry Research, Vol. 58, Issue 15 https://doi.org/10.1021/acs.iecr.8b04255	journal	December 2018
Technology portfolios optimization to deliver cost-effective shale gas development: Using CO2 versus water Ji, Tiancheng; Jiang, Peixue; Xu, Ruina Fuel, Vol. 335 https://doi.org/10.1016/j.fuel.2022.127006	journal	March 2023
Field development optimization using a sequence of surrogate treatments de Brito, Daniel U.; Durlofsky, Louis J. Computational Geosciences, Vol. 25, Issue 1 https://doi.org/10.1007/s10596-020-09985-y	journal	September 2020
An optimization method for shale gas gathering system - Consideration of reliability enhancement under earthquake-related uncertainties Wu, Yan; Cui, Zi-Yuan; Lin, Hai Petroleum Science, Vol. 19, Issue 5 https://doi.org/10.1016/j.petsci.2021.12.029	journal	October 2022
Advances and challenges in shale oil development: A critical review Feng, Qihong; Xu, Shiqian; Xing, Xiangdong Advances in Geo-Energy Research, Vol. 4, Issue 4 https://doi.org/10.46690/ager.2020.04.06	journal	November 2020
PARETO: An open-source produced water optimization framework Drouven, Markus G.; Caldéron, Andrés J.; Zamarripa, Miguel A. Optimization and Engineering https://doi.org/10.1007/s11081-022-09773-w	journal	November 2022
New nonlinear programming paradigms for the future of process optimization Biegler, Lorenz T. AIChE Journal, Vol. 63, Issue 4 https://doi.org/10.1002/aic.15674	journal	February 2017
Data‐driven distributionally robust optimization of shale gas supply chains under uncertainty Gao, Jiyao; Ning, Chao; You, Fengqi AIChE Journal, Vol. 65, Issue 3 https://doi.org/10.1002/aic.16488	journal	December 2018
Supply chain networks servicing upstream operations in oil and gas fields after the shale revolution Montagna, Agustín F.; Cafaro, Diego C. AIChE Journal, Vol. 65, Issue 12 https://doi.org/10.1002/aic.16762	journal	September 2019
Assessing the sustainability of the shale gas industry by combining DPSIRM model and RAGA-PP techniques: An empirical analysis of Sichuan and Chongqing, China Wang, Qiang; Zhan, Lina Energy, Vol. 176 https://doi.org/10.1016/j.energy.2019.03.158	journal	June 2019
Deciphering and handling uncertainty in shale gas supply chain design and optimization: Novel modeling framework and computationally efficient solution algorithm Gao, Jiyao; You, Fengqi AIChE Journal, Vol. 61, Issue 11 https://doi.org/10.1002/aic.15032	journal	September 2015
Shut-in based production optimization of shale-gas systems Knudsen, Brage Rugstad; Foss, Bjarne Computers & Chemical Engineering, Vol. 58 https://doi.org/10.1016/j.compchemeng.2013.05.022	journal	November 2013
Preliminary Evaluation of Shale Gas Reservoirs: Appraisal of Different Well-Pad Designs via Performance Metrics Calderón, Andrés J.; Guerra, Omar J.; Papageorgiou, Lazaros G. Industrial & Engineering Chemistry Research, Vol. 54, Issue 42 https://doi.org/10.1021/acs.iecr.5b01590	journal	July 2015
Life cycle assessment and linear programming environmental optimisation of product system- Azapagic, A.; Clift, R. Computers & Chemical Engineering, Vol. 19 https://doi.org/10.1016/0098-1354(95)87041-5	journal	June 1995
Multi-criteria design of shale-gas-water supply chains and production systems towards optimal life cycle economics and greenhouse gas emissions under uncertainty Chen, Yizhong; He, Li; Li, Jing Computers & Chemical Engineering, Vol. 109 https://doi.org/10.1016/j.compchemeng.2017.11.014	journal	January 2018
Optimal planning and modular infrastructure dynamic allocation for shale gas production Hong, Bingyuan; Li, Xiaoping; Song, Shangfei Applied Energy, Vol. 261 https://doi.org/10.1016/j.apenergy.2019.114439	journal	March 2020
Optimal design of water pipeline networks for the development of shale gas resources Cafaro, Diego C.; Grossmann, Ignacio AIChE Journal, Vol. 67, Issue 1 https://doi.org/10.1002/aic.17058	journal	October 2020

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