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Numerical methods for heat transfer in hydraulic fracturing
Author(s) -
Bennaceur K.,
Dunand A.,
Stephenson P.
Publication year - 1987
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620240106
Subject(s) - hydraulic fracturing , mechanics , heat transfer , fracture (geology) , fluid dynamics , thermal conduction , porous medium , rheology , fracturing fluid , convection , materials science , convective heat transfer , filtration (mathematics) , porosity , geotechnical engineering , geology , composite material , petroleum engineering , mathematics , physics , statistics
During the propagation of a hydraulically induced fracture in a porous material, fluid leak‐off occurs from the fracture to the formation. Conduction and convection of heat also take place, owing to the large difference between the fluid injection temperature and that of the reservoir. The paper describes a quasi‐two‐dimensional heat transfer model coupled with a filtration model. It is then coupled into different coupled fracture propagation models (two‐dimensional and quasi‐three‐dimensional). The rheological characteristics of the fracturing fluid are temperature‐dependent with a sharp breakdown. The fluid diffusion model combines cake growth at the fracture face with two‐fluid flow in the formation. Temperature profiles along the fracture and the formation are computed during fracture propagation.