Membrane network synthesis for metal recovery: An optimization-based framework
[Display omitted] •Developed surrogate membrane unit model for metal permeation.•Proposed superstructure with multiple multistage trains for multi-metal recovery.•Proposed novel MINLP model for membrane system synthesis and material selection.•Applied proposed framework to metal recovery from differ...
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| Vydáno v: | Separation and purification technology Ročník 377; s. 134225 |
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| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier B.V
19.12.2025
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| Témata: | |
| ISSN: | 1383-5866 |
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| Abstract | [Display omitted]
•Developed surrogate membrane unit model for metal permeation.•Proposed superstructure with multiple multistage trains for multi-metal recovery.•Proposed novel MINLP model for membrane system synthesis and material selection.•Applied proposed framework to metal recovery from different industrial wastewater.
High-value metals, including critical metals and rare earth elements, are essential for a wide range of modern applications. Recovering these metals from wastewater provides a sustainable alternative to extracting them from finite natural resources. Membrane-based technologies, particularly nanofiltration, offer significant benefits such as high separation efficiency and low energy requirements. However, designing membrane networks is intricate due to the vast array of potential membrane materials that are available and network configurations that can be utilized. In this work, we first present a rich superstructure representing multiple network configurations. We then develop a mixed-integer nonlinear programming (MINLP) model, which incorporates an accurate membrane unit model, which is solvable to global optimality. The proposed framework determines network configuration, membrane materials, and operating conditions to minimize total annualized operating costs. This novel framework enables the synthesis of membrane networks for recovering multiple high-value metals from wastewater. Finally, we demonstrate the effectiveness of the proposed framework in achieving globally optimal solutions through various case studies. |
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| AbstractList | [Display omitted]
•Developed surrogate membrane unit model for metal permeation.•Proposed superstructure with multiple multistage trains for multi-metal recovery.•Proposed novel MINLP model for membrane system synthesis and material selection.•Applied proposed framework to metal recovery from different industrial wastewater.
High-value metals, including critical metals and rare earth elements, are essential for a wide range of modern applications. Recovering these metals from wastewater provides a sustainable alternative to extracting them from finite natural resources. Membrane-based technologies, particularly nanofiltration, offer significant benefits such as high separation efficiency and low energy requirements. However, designing membrane networks is intricate due to the vast array of potential membrane materials that are available and network configurations that can be utilized. In this work, we first present a rich superstructure representing multiple network configurations. We then develop a mixed-integer nonlinear programming (MINLP) model, which incorporates an accurate membrane unit model, which is solvable to global optimality. The proposed framework determines network configuration, membrane materials, and operating conditions to minimize total annualized operating costs. This novel framework enables the synthesis of membrane networks for recovering multiple high-value metals from wastewater. Finally, we demonstrate the effectiveness of the proposed framework in achieving globally optimal solutions through various case studies. |
| ArticleNumber | 134225 |
| Author | Verma, Harshit Jassby, David Maravelias, Christos T. |
| Author_xml | – sequence: 1 givenname: Harshit orcidid: 0009-0003-4439-6959 surname: Verma fullname: Verma, Harshit organization: Department of Chemical and Biological Engineering, Princeton University, Princeton, NJ 08540, United States – sequence: 2 givenname: David surname: Jassby fullname: Jassby, David organization: Department of Civil and Environmental Engineering, University of California, Los Angeles, CA 90095, United States – sequence: 3 givenname: Christos T. orcidid: 0000-0002-4929-1748 surname: Maravelias fullname: Maravelias, Christos T. email: maravelias@princeton.edu organization: Department of Chemical and Biological Engineering, Princeton University, Princeton, NJ 08540, United States |
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•Developed surrogate membrane unit model for metal permeation.•Proposed superstructure with multiple multistage trains for multi-metal... |
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| SubjectTerms | Global optimization High-value metal recovery Membrane network synthesis Mixed-integer nonlinear programming |
| Title | Membrane network synthesis for metal recovery: An optimization-based framework |
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