Analytical model for Joule-Thomson cooling under heat exchange during CO2 storage

• Published in: Advances in water resources Vol. 190; p. 104758
• Main Authors: Chesnokov, Christina, Farajzadeh, Rouhi, Prempeh, Kofi Ohemeng Kyei, Kahrobaei, Siavash, Snippe, Jeroen, Bedrikovetsky, Pavel
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.08.2024
• Subjects: Analytical model; Aquifer; CO2 storage; Heat exchange; Joule-Thomson; Newton's law; Analytical model; CO2 storage; Joule-Thomson; Newton's law; Heat exchange; Aquifer
• ISSN: 0309-1708; 1872-9657
• DOI: 10.1016/j.advwatres.2024.104758

•Exact solution for radial CO2 injection with Joule-Thomson cooling & heat exchange.•Heat exchange by Newton's law yields temperature profile stabilisation with time.•The Joule-Thomson effect can significantly decrease reservoir temperature.•Analytical model allows estimating the injection rates that avoid hydrate formation. This paper discusses axi-symmetric flow during CO2 injection into a non-adiabatic reservoir accounting for Joule-Thomson cooling and steady-state heat exchange between the reservoir and the adjacent layers by Newton's law. An exact solution for this 1D problem is derived and a new method for model validation by comparison with quasi 2D analytical heat-conductivity solution is developed. The temperature profile obtained by the analytical solution shows a temperature decrease to a minimum value, followed by a sharp increase to initial reservoir temperature on the temperature front. The temperature distribution head of the front is determined by the initial reservoir temperature, while the solution behind the front is determined by the temperature of injected CO2. The analytical model exhibits stabilisation of the temperature profile and the cooled zone. The explicit formula for temperature distributions allows determining the maximum injection rate that avoids hydrate formation. [Display omitted]