Exact Solution for Water Evaporation During CO2 Injection
Abstract The objective of this study is to develop an analytical model for 1D gas‐water flow with evaporation of water into the mobile gas phase. The evaporation rate is proportional to the fluid‐fluid interfacial area, which is a function of the water saturation. Introduction of saturation‐dependen...
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| Format: | Article |
| Language: | English |
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Wiley
2024-06-01
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| Series: | Water Resources Research |
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| Online Access: | https://doi.org/10.1029/2023WR036600 |
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| author | T. Russell P. Bedrikovetsky |
| author_facet | T. Russell P. Bedrikovetsky |
| author_sort | T. Russell |
| collection | DOAJ |
| description | Abstract The objective of this study is to develop an analytical model for 1D gas‐water flow with evaporation of water into the mobile gas phase. The evaporation rate is proportional to the fluid‐fluid interfacial area, which is a function of the water saturation. Introduction of saturation‐dependent potential allows reducing the 2 × 2 non‐linear system of PDEs to one hyperbolic equation. The saturation distribution is obtained by non‐linear method of characteristics. The first integral allows for explicit expression of the vapor concentration versus saturation. It was shown that typical properties of rock‐CO2‐water system, the evaporation time has order of magnitude of millions of pore volumes injected. Close match was observed between a series of three corefloods and the analytical model, and the tuned model coefficients belong to their common intervals. This validates the developed model for 1D gas‐water flow with water evaporation into the injected gas. |
| format | Article |
| id | doaj-art-c3ccfebbcec440928b9db6265e0a67b3 |
| institution | DOAJ |
| issn | 0043-1397 1944-7973 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Wiley |
| record_format | Article |
| series | Water Resources Research |
| spelling | doaj-art-c3ccfebbcec440928b9db6265e0a67b32025-08-20T03:22:18ZengWileyWater Resources Research0043-13971944-79732024-06-01606n/an/a10.1029/2023WR036600Exact Solution for Water Evaporation During CO2 InjectionT. Russell0P. Bedrikovetsky1School of Chemical Engineering The University of Adelaide Adelaide SA AustraliaSchool of Chemical Engineering The University of Adelaide Adelaide SA AustraliaAbstract The objective of this study is to develop an analytical model for 1D gas‐water flow with evaporation of water into the mobile gas phase. The evaporation rate is proportional to the fluid‐fluid interfacial area, which is a function of the water saturation. Introduction of saturation‐dependent potential allows reducing the 2 × 2 non‐linear system of PDEs to one hyperbolic equation. The saturation distribution is obtained by non‐linear method of characteristics. The first integral allows for explicit expression of the vapor concentration versus saturation. It was shown that typical properties of rock‐CO2‐water system, the evaporation time has order of magnitude of millions of pore volumes injected. Close match was observed between a series of three corefloods and the analytical model, and the tuned model coefficients belong to their common intervals. This validates the developed model for 1D gas‐water flow with water evaporation into the injected gas.https://doi.org/10.1029/2023WR036600evaporationexact solutionnon‐equilibriumnon‐linear equationsCO2 injectionporous media |
| spellingShingle | T. Russell P. Bedrikovetsky Exact Solution for Water Evaporation During CO2 Injection Water Resources Research evaporation exact solution non‐equilibrium non‐linear equations CO2 injection porous media |
| title | Exact Solution for Water Evaporation During CO2 Injection |
| title_full | Exact Solution for Water Evaporation During CO2 Injection |
| title_fullStr | Exact Solution for Water Evaporation During CO2 Injection |
| title_full_unstemmed | Exact Solution for Water Evaporation During CO2 Injection |
| title_short | Exact Solution for Water Evaporation During CO2 Injection |
| title_sort | exact solution for water evaporation during co2 injection |
| topic | evaporation exact solution non‐equilibrium non‐linear equations CO2 injection porous media |
| url | https://doi.org/10.1029/2023WR036600 |
| work_keys_str_mv | AT trussell exactsolutionforwaterevaporationduringco2injection AT pbedrikovetsky exactsolutionforwaterevaporationduringco2injection |