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On the derivation of closed-form expressions for displacements, strains and stresses inside a poroelastic inclusion

Report (2023)
Authors

P. Cornelissen (TU Delft - Reservoir Engineering)

B.J. Meulenbroek (TU Delft - Mathematical Physics)

Jan-Dirk Jansen (TU Delft - Civil Engineering & Geosciences)

Faculty
Civil Engineering & Geosciences
Copyright
© 2023 P. Cornelissen, B.J. Meulenbroek, J.D. Jansen
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Publication Year
2023
Language
English
Copyright
© 2023 P. Cornelissen, B.J. Meulenbroek, J.D. Jansen
Related content
Faculty
Civil Engineering & Geosciences
Bibliographical Note
This note provides corrections to results published in: J.D. Jansen, P. Singhal, and F.C. Vossepoel. Insights from closed-form expressions for injection- and production-induced stresses in displaced faults. Journal of Geophysical Research - Solid Earth, 124:7193{7212, 2019. URL https://doi.org/10.1029/2019JB017932. H. Wu, V. Vilarrasa, S. De Simone, M. Saaltink, and F. Parisio. Analytical solution to assess the induced seismicity potential of faults in pressurized and depleted reservoirs. Journal of Geophysical Research - Solid Earth, 126: e2020JB020436, 2021. URL https://doi.org/10.1029/2020JB020436.@en
DOI:
https://doi.org/10.4233/e2f21e31-3221-4d61-bb97-c74bdd3567a8
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Abstract

This note provides the derivation of closed-form expressions for elastic displacements, strains, and stresses inside an inclusion. Jansen et al. (2019) and Wu et al. (2021) obtained correct expressions for the stresses inside an inclusion, but their derivation of these expressions contained mistakes. In this note, the correct derivation of expressions for the stresses inside an inclusion is presented and some of the results of the aforementioned studies are clarified.