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Theoretical study of hydraulically fractured penny‐shaped cracks in hot, dry rocks
Author(s) -
Abé H.,
Keer L. M.,
Mura T.
Publication year - 1979
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610030108
Subject(s) - mechanics , radius , crack closure , geotechnical engineering , fluid dynamics , deformation (meteorology) , thermal , hydraulic fracturing , geology , volumetric flow rate , inlet , flow (mathematics) , stress intensity factor , materials science , fissure , fracture mechanics , thermodynamics , composite material , physics , computer security , geomorphology , computer science
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.