Deviation from Darcy Law in Porous Media Due to Reverse Osmosis: Pore-Scale Approach
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 accoun...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/15/18/6656 |
| _version_ | 1827661409679310848 |
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| author | Desmond Batsa Dorhjie Roman Yusupov Vladislav Krutko Alexey Cheremisin |
| author_facet | Desmond Batsa Dorhjie Roman Yusupov Vladislav Krutko Alexey Cheremisin |
| author_sort | Desmond Batsa Dorhjie |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T00:09:01Z |
| format | Article |
| id | doaj.art-4a856cc622fc41e9b4a81dd897e71a38 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T00:09:01Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-4a856cc622fc41e9b4a81dd897e71a382023-11-23T16:03:32ZengMDPI AGEnergies1996-10732022-09-011518665610.3390/en15186656Deviation from Darcy Law in Porous Media Due to Reverse Osmosis: Pore-Scale ApproachDesmond Batsa Dorhjie0Roman Yusupov1Vladislav Krutko2Alexey Cheremisin3Center for Petroleum Science and Engineering, Skolkovo Institute of Science and Technology, Bolshoy Boulevard 30, bld. 1, 121205 Moscow, RussiaCenter for Petroleum Science and Engineering, Skolkovo Institute of Science and Technology, Bolshoy Boulevard 30, bld. 1, 121205 Moscow, RussiaGazpromneft NTC, 190000 Saint Petersburg, RussiaCenter for Petroleum Science and Engineering, Skolkovo Institute of Science and Technology, Bolshoy Boulevard 30, bld. 1, 121205 Moscow, RussiaShale 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.https://www.mdpi.com/1996-1073/15/18/6656Darcy lawreverse osmosislimiting pressurechemical potential gradientsub-micron pore |
| spellingShingle | Desmond Batsa Dorhjie Roman Yusupov Vladislav Krutko Alexey Cheremisin Deviation from Darcy Law in Porous Media Due to Reverse Osmosis: Pore-Scale Approach Energies Darcy law reverse osmosis limiting pressure chemical potential gradient sub-micron pore |
| title | Deviation from Darcy Law in Porous Media Due to Reverse Osmosis: Pore-Scale Approach |
| title_full | Deviation from Darcy Law in Porous Media Due to Reverse Osmosis: Pore-Scale Approach |
| title_fullStr | Deviation from Darcy Law in Porous Media Due to Reverse Osmosis: Pore-Scale Approach |
| title_full_unstemmed | Deviation from Darcy Law in Porous Media Due to Reverse Osmosis: Pore-Scale Approach |
| title_short | Deviation from Darcy Law in Porous Media Due to Reverse Osmosis: Pore-Scale Approach |
| title_sort | deviation from darcy law in porous media due to reverse osmosis pore scale approach |
| topic | Darcy law reverse osmosis limiting pressure chemical potential gradient sub-micron pore |
| url | https://www.mdpi.com/1996-1073/15/18/6656 |
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