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

Pavan Cornelissen, Bernard J. Meulenbroek, Jan-Dirk Jansen*

*Corresponding author for this work

Research output: Book/ReportReportScientific

67 Downloads (Pure)

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.
Original languageEnglish
PublisherDelft University of Technology
Number of pages12
DOIs
Publication statusPublished - 2023

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.

Funding

This publication is part of the project ‘Science4Steer: a scientific basis for production and reinjection strategies to minimize induced seismicity in Dutch gas fields’ (with project number DEEP.NL.2018.046) of the research programme 'DeepNL' which is financed by the Dutch Research Council (NWO).

Keywords

  • inclusion theory
  • poroelasticity
  • Fubini
  • Leibniz integral rule

Fingerprint

Dive into the research topics of 'On the derivation of closed-form expressions for displacements, strains and stresses inside a poroelastic inclusion'. Together they form a unique fingerprint.

Cite this