Microscopic theory of capillary pressure hysteresis based on pore-space accessivity and radius-resolved saturation
© 2018 Elsevier Ltd Continuum models of porous media use macroscopic parameters and state variables to capture essential features of pore-scale physics. We propose a macroscopic property “accessivity” (α) to characterize the network connectivity of different sized pores in a porous medium, and macro...
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| Format: | Article |
| Language: | English |
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Elsevier BV
2021
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| Online Access: | https://hdl.handle.net/1721.1/134729 |
| _version_ | 1826196724456095744 |
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| author | Gu, Zongyu Bazant, Martin Z |
| author2 | Massachusetts Institute of Technology. Department of Chemical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Chemical Engineering Gu, Zongyu Bazant, Martin Z |
| author_sort | Gu, Zongyu |
| collection | MIT |
| description | © 2018 Elsevier Ltd Continuum models of porous media use macroscopic parameters and state variables to capture essential features of pore-scale physics. We propose a macroscopic property “accessivity” (α) to characterize the network connectivity of different sized pores in a porous medium, and macroscopic state descriptors “radius-resolved saturations” (ψw(F),ψn(F)) to characterize the distribution of fluid phases within. Small accessivity (α→0) implies serial connections between different sized pores, while large accessivity (α→1) corresponds to more parallel arrangements, as the classical capillary bundle model implicitly assumes. Based on these concepts, we develop a statistical theory for quasistatic immiscible drainage-imbibition in arbitrary cycles, and arrive at simple algebraic formulae for updating ψnF that naturally capture capillary pressure hysteresis, with α controlling the amount of hysteresis. These concepts may be used to interpret hysteretic data, upscale pore-scale observations, and formulate new constitutive laws by providing a simple conceptual framework for quantifying connectivity effects, and may have broader utility in continuum modeling of transport, reactions, and phase transformations in porous media. |
| first_indexed | 2024-09-23T10:35:34Z |
| format | Article |
| id | mit-1721.1/134729 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:35:34Z |
| publishDate | 2021 |
| publisher | Elsevier BV |
| record_format | dspace |
| spelling | mit-1721.1/1347292023-09-19T20:17:41Z Microscopic theory of capillary pressure hysteresis based on pore-space accessivity and radius-resolved saturation Gu, Zongyu Bazant, Martin Z Massachusetts Institute of Technology. Department of Chemical Engineering Massachusetts Institute of Technology. Department of Mathematics © 2018 Elsevier Ltd Continuum models of porous media use macroscopic parameters and state variables to capture essential features of pore-scale physics. We propose a macroscopic property “accessivity” (α) to characterize the network connectivity of different sized pores in a porous medium, and macroscopic state descriptors “radius-resolved saturations” (ψw(F),ψn(F)) to characterize the distribution of fluid phases within. Small accessivity (α→0) implies serial connections between different sized pores, while large accessivity (α→1) corresponds to more parallel arrangements, as the classical capillary bundle model implicitly assumes. Based on these concepts, we develop a statistical theory for quasistatic immiscible drainage-imbibition in arbitrary cycles, and arrive at simple algebraic formulae for updating ψnF that naturally capture capillary pressure hysteresis, with α controlling the amount of hysteresis. These concepts may be used to interpret hysteretic data, upscale pore-scale observations, and formulate new constitutive laws by providing a simple conceptual framework for quantifying connectivity effects, and may have broader utility in continuum modeling of transport, reactions, and phase transformations in porous media. 2021-10-27T20:08:53Z 2021-10-27T20:08:53Z 2019 2019-08-14T13:01:17Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/134729 en 10.1016/J.CES.2018.10.054 Chemical Engineering Science Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier BV arXiv |
| spellingShingle | Gu, Zongyu Bazant, Martin Z Microscopic theory of capillary pressure hysteresis based on pore-space accessivity and radius-resolved saturation |
| title | Microscopic theory of capillary pressure hysteresis based on pore-space accessivity and radius-resolved saturation |
| title_full | Microscopic theory of capillary pressure hysteresis based on pore-space accessivity and radius-resolved saturation |
| title_fullStr | Microscopic theory of capillary pressure hysteresis based on pore-space accessivity and radius-resolved saturation |
| title_full_unstemmed | Microscopic theory of capillary pressure hysteresis based on pore-space accessivity and radius-resolved saturation |
| title_short | Microscopic theory of capillary pressure hysteresis based on pore-space accessivity and radius-resolved saturation |
| title_sort | microscopic theory of capillary pressure hysteresis based on pore space accessivity and radius resolved saturation |
| url | https://hdl.handle.net/1721.1/134729 |
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