IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v15y2022i18p6656-d912769.html
   My bibliography  Save this article

Deviation from Darcy Law in Porous Media Due to Reverse Osmosis: Pore-Scale Approach

Author

Listed:
  • Desmond Batsa Dorhjie

    (Center for Petroleum Science and Engineering, Skolkovo Institute of Science and Technology, Bolshoy Boulevard 30, bld. 1, 121205 Moscow, Russia)

  • Roman Yusupov

    (Center for Petroleum Science and Engineering, Skolkovo Institute of Science and Technology, Bolshoy Boulevard 30, bld. 1, 121205 Moscow, Russia)

  • Vladislav Krutko

    (Gazpromneft NTC, 190000 Saint Petersburg, Russia)

  • Alexey Cheremisin

    (Center for Petroleum Science and Engineering, Skolkovo Institute of Science and Technology, Bolshoy Boulevard 30, bld. 1, 121205 Moscow, Russia)

Abstract

Shale and tight hydrocarbons are vital to global energy dynamics. The fluid flow in sub-micron pores of tight oil reservoirs varies from bulk fluid flow. The Darcy law is widely accepted to model creeping flow in petroleum reservoirs. However, traditional reservoir modeling approaches fail to account for the sub-micron mechanisms that govern fluid flow. The accuracy of tight oil reservoir simulators has been improved by incorporating the influence of sub-micron effects. However, there are still factors that affect sub-micron fluid mobility that need investigation. The influence of a chemical potential gradient on fluid flow in sub-micron pores was modeled by solving Darcy and the transport and diluted species equations. The findings indicate that when a chemical potential gradient acts in the opposite direction of a hydraulic pressure gradient (reverse osmosis), there exists a limiting pressure threshold below which a non-linear flow pattern deviating from the Darcy equation is observed. Furthermore, the simulation based on tight reservoir pore parameters shows that when the effect of a chemical potential gradient is added, the resultant flux is 8–49% less. Hence, including the effect of the chemical potential gradient will improve the accuracy of sub-micron pressure dynamics and flow velocity.

Suggested Citation

  • Desmond Batsa Dorhjie & Roman Yusupov & Vladislav Krutko & Alexey Cheremisin, 2022. "Deviation from Darcy Law in Porous Media Due to Reverse Osmosis: Pore-Scale Approach," Energies, MDPI, vol. 15(18), pages 1-15, September.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:18:p:6656-:d:912769
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/15/18/6656/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/15/18/6656/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mark A. Shannon & Paul W. Bohn & Menachem Elimelech & John G. Georgiadis & Benito J. Mariñas & Anne M. Mayes, 2008. "Science and technology for water purification in the coming decades," Nature, Nature, vol. 452(7185), pages 301-310, March.
    2. Leila Safiddine & Hadj-Ziane Zafour & Ungarala Mohan Rao & Issouf Fofana, 2019. "Regeneration of Transformer Insulating Fluids Using Membrane Separation Technology," Energies, MDPI, vol. 12(3), pages 1-13, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Anilkumar, T.T. & Simon, Sishaj P. & Padhy, Narayana Prasad, 2017. "Residential electricity cost minimization model through open well-pico turbine pumped storage system," Applied Energy, Elsevier, vol. 195(C), pages 23-35.
    2. Sifeddine Abdi & Noureddine Harid & Leila Safiddine & Ahmed Boubakeur & Abderrahmane (Manu) Haddad, 2021. "The Correlation of Transformer Oil Electrical Properties with Water Content Using a Regression Approach," Energies, MDPI, vol. 14(8), pages 1-14, April.
    3. Guo, Qijing & Yi, Hao & Jia, Feifei & Song, Shaoxian, 2022. "Vertical porous MoS2/hectorite double-layered aerogel as superior salt resistant and highly efficient solar steam generators," Renewable Energy, Elsevier, vol. 194(C), pages 68-79.
    4. Milan Daus & Katharina Koberger & Kaan Koca & Felix Beckers & Jorge Encinas Fernández & Barbara Weisbrod & Daniel Dietrich & Sabine Ulrike Gerbersdorf & Rüdiger Glaser & Stefan Haun & Hilmar Hofmann &, 2021. "Interdisciplinary Reservoir Management—A Tool for Sustainable Water Resources Management," Sustainability, MDPI, vol. 13(8), pages 1-21, April.
    5. Andreas N. Angelakis & Mohammad Valipour & Abdelkader T. Ahmed & Vasileios Tzanakakis & Nikolaos V. Paranychianakis & Jens Krasilnikoff & Renato Drusiani & Larry Mays & Fatma El Gohary & Demetris Kout, 2021. "Water Conflicts: From Ancient to Modern Times and in the Future," Sustainability, MDPI, vol. 13(8), pages 1-31, April.
    6. Dhanu Radha Samayamanthula & Badriyah Alhalaili & Harinath Yapati & Adnan Akber & Chidambaram Sabarathinam, 2022. "Innovative Bacterial Removal Technique Using Green Synthetic Nano Curcumin Zinc (II) Complex for Sustainable Water Resource Management," Sustainability, MDPI, vol. 14(7), pages 1-17, April.
    7. Arputhasamy Joseph Amalanathan & Ramanujam Sarathi & Maciej Zdanowski & Ravikrishnan Vinu & Zbigniew Nadolny, 2023. "Review on Gassing Tendency of Different Insulating Fluids towards Transformer Applications," Energies, MDPI, vol. 16(1), pages 1-15, January.
    8. Van Geluwe, Steven & Braeken, Leen & Robberecht, Thomas & Jans, Maarten & Creemers, Claude & Van der Bruggen, Bart, 2011. "Evaluation of electrodialysis for scaling prevention of nanofiltration membranes at high water recoveries," Resources, Conservation & Recycling, Elsevier, vol. 56(1), pages 34-42.
    9. N. Evelin Paucar & Chikashi Sato, 2022. "Coupling Microbial Fuel Cell and Hydroponic System for Electricity Generation, Organic Removal, and Nutrient Recovery via Plant Production from Wastewater," Energies, MDPI, vol. 15(23), pages 1-19, December.
    10. Erez Braude & Shmuel Hauser & Zilla Sinuany-Stern & Gideon Oron, 2015. "Water Allocation Between the Agricultural and the Municipal Sectors Under Scarcity: A Financial Approach Analysis," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(10), pages 3481-3501, August.
    11. Li, Chennan & Goswami, Yogi & Stefanakos, Elias, 2013. "Solar assisted sea water desalination: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 19(C), pages 136-163.
    12. Schäfer, Andrea I. & Hughes, Gordon & Richards, Bryce S., 2014. "Renewable energy powered membrane technology: A leapfrog approach to rural water treatment in developing countries?," Renewable and Sustainable Energy Reviews, Elsevier, vol. 40(C), pages 542-556.
    13. Joern Falk & Björn Globisch & Martin Angelmahr & Wolfgang Schade & Heike Schenk-Mathes, 2022. "Drinking Water Supply in Rural Africa Based on a Mini-Grid Energy System—A Socio-Economic Case Study for Rural Development," Sustainability, MDPI, vol. 14(15), pages 1-19, August.
    14. Janeth Marwa & Mesia Lufingo & Chicgoua Noubactep & Revocatus Machunda, 2018. "Defeating Fluorosis in the East African Rift Valley: Transforming the Kilimanjaro into a Rainwater Harvesting Park," Sustainability, MDPI, vol. 10(11), pages 1-12, November.
    15. Lu Liu & Yuanxin Yao & Xuebing Zhou & Yanan Zhang & Deqing Liang, 2021. "Improved Formation Kinetics of Carbon Dioxide Hydrate in Brine Induced by Sodium Dodecyl Sulfate," Energies, MDPI, vol. 14(8), pages 1-12, April.
    16. Huang, Jian & He, Yurong & Chen, Meijie & Wang, Xinzhi, 2019. "Separating photo-thermal conversion and steam generation process for evaporation enhancement using a solar absorber," Applied Energy, Elsevier, vol. 236(C), pages 244-252.
    17. Carleton Schade & David Pimentel, 2010. "Population crash: prospects for famine in the twenty-first century," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 12(2), pages 245-262, April.
    18. Haneen Abdelrazeq & Majeda Khraisheh & Hafsa Mohammed Ashraf & Parisa Ebrahimi & Ansaruddin Kunju, 2021. "Sustainable Innovation in Membrane Technologies for Produced Water Treatment: Challenges and Limitations," Sustainability, MDPI, vol. 13(12), pages 1-19, June.
    19. Li, Chennan & Goswami, D. Yogi & Shapiro, Andrew & Stefanakos, Elias K. & Demirkaya, Gokmen, 2012. "A new combined power and desalination system driven by low grade heat for concentrated brine," Energy, Elsevier, vol. 46(1), pages 582-595.
    20. Khalid, Azqa & Aslam, Muhammad & Qyyum, Muhammad Abdul & Faisal, Abrar & Khan, Asim Laeeq & Ahmed, Faisal & Lee, Moonyong & Kim, Jeonghwan & Jang, Nulee & Chang, In Seop & Bazmi, Aqeel Ahmed & Yasin, , 2019. "Membrane separation processes for dehydration of bioethanol from fermentation broths: Recent developments, challenges, and prospects," Renewable and Sustainable Energy Reviews, Elsevier, vol. 105(C), pages 427-443.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:15:y:2022:i:18:p:6656-:d:912769. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.