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Crack propagation in a geothermal energy reservoir

Abstract:
We consider the problem of the opening of pre-existing cracks with high pressure fluid in the case where changes in the fluid pressure are balanced predominantly by stresses due to the local crack asperity deformations. A model is proposed for this process using a particular choice of 'crack law' and 'flow law' which leads to a free boundary problem. A singular perturbation analysis reveals that, in the boundary layer, the motion of the free boundary is governed by a singular integro-differential equation.

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume:
76
Issue:
SUPPL. 4
Pages:
257-260
Publication date:
1996-01-01
EISSN:
1521-4001
ISSN:
0044-2267
URN:
uuid:9c042709-f62d-4e55-8e3e-2d17be3eea70
Source identifiers:
357256
Local pid:
pubs:357256
Language:
English

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