Theoretical study of hydraulically fractured penny‐shaped cracks in hot, dry rocks

H. Abé*, L. M. Keer, T. Mura

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


A simple and analytical method of solving the problem of heat extraction from a penny‐shaped crack having both inlet and outlet holes is developed by using a two‐dimensional flow model when fluid is injected at a constant flow rate. Temperature distributions in both rock and fluid are obtained by taking into account the hydraulic and thermal growth of the crack. The outlet fluid temperature and energy extraction rate versus time are shown by some illustrative examples. Although the effect of thermal, contraction of rock upon the crack width is large, its influence upon flow rate and crack tip stress intensity factor is sufficiently small within the first several years so that the crack radius can be determined mainly by the mechanical deformation of, the rock.

Original languageEnglish (US)
Pages (from-to)79-96
Number of pages18
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Issue number1
StatePublished - Jan 1 1979

ASJC Scopus subject areas

  • Computational Mechanics
  • Materials Science(all)
  • Geotechnical Engineering and Engineering Geology
  • Mechanics of Materials


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