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Article

Semi-Analytical Solution to Assess CO2 Leakage in the Subsurface through Abandoned Wells

1
Physical Science and Engineering Division, King Abdullah University of Science and Technology (KAUST), Thuwal 23955, Saudi Arabia
2
Institut Terre et Environnement de Strasbourg, Université de Strasbourg, CNRS, ENGEES, UMR 7063, 67081 Strasbourg, France
*
Author to whom correspondence should be addressed.
Academic Editor: Nikolaos Koukouzas
Energies 2021, 14(9), 2452; https://doi.org/10.3390/en14092452
Received: 26 February 2021 / Revised: 9 April 2021 / Accepted: 12 April 2021 / Published: 25 April 2021
(This article belongs to the Special Issue Modeling Multiphase Flow and Reactive Transport in Porous Media)
Geological carbon storage is an effective method capable of reducing carbon dioxide (CO2) emissions at significant scales. Subsurface reservoirs with sealing caprocks can provide long-term containment for the injected fluid. Nevertheless, CO2 leakage is a major concern. The presence of abandoned wells penetrating the reservoir caprock may cause leakage flow-paths for CO2 to the overburden. Assessment of time-varying leaky wells is a need. In this paper, we propose a new semi-analytical approach based on pressure-transient analysis to model the behavior of CO2 leakage and corresponding pressure distribution within the storage site and the overburden. Current methods assume instantaneous leakage of CO2 occurring with injection, which is not realistic. In this work, we employ the superposition in time and space to solve the diffusivity equation in 2D radial flow to approximate the transient pressure in the reservoirs. Fluid and rock compressibilities are taken into consideration, which allow calculating the breakthrough time and the leakage rate of CO2 to the overburden accurately. We use numerical simulations to verify the proposed time-dependent semi-analytical solution. The results show good agreement in both pressure and leakage rates. Sensitivity analysis is then conducted to assess different CO2 leakage scenarios to the overburden. The developed semi-analytical solution provides a new simple and practical approach to assess the potential of CO2 leakage outside the storage site. This approach is an alternative to numerical methods when detailed simulations are not feasible. Furthermore, the proposed solution can also be used to verify numerical codes, which often exhibit numerical artifacts. View Full-Text
Keywords: CO2 storage; CCS; analytical solution; leakage; pressure transient analysis; abandoned wells CO2 storage; CCS; analytical solution; leakage; pressure transient analysis; abandoned wells
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MDPI and ACS Style

Qiao, T.; Hoteit, H.; Fahs, M. Semi-Analytical Solution to Assess CO2 Leakage in the Subsurface through Abandoned Wells. Energies 2021, 14, 2452. https://doi.org/10.3390/en14092452

AMA Style

Qiao T, Hoteit H, Fahs M. Semi-Analytical Solution to Assess CO2 Leakage in the Subsurface through Abandoned Wells. Energies. 2021; 14(9):2452. https://doi.org/10.3390/en14092452

Chicago/Turabian Style

Qiao, Tian; Hoteit, Hussein; Fahs, Marwan. 2021. "Semi-Analytical Solution to Assess CO2 Leakage in the Subsurface through Abandoned Wells" Energies 14, no. 9: 2452. https://doi.org/10.3390/en14092452

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