Asymptotic Analysis of Hydraulic Fracture Crack Process Growth
In this work the self-similar solution of a problem of propagation of hydraulic fracture crack is presented. It is proposed that a crack is focused vertically and research of of its development process is analyzed within the coupled problem of the hydrodynamics theory (flow of viscous fluids) and th...
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Samara State Technical University
2010-06-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu795 |
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doaj-0915a78b756649b8ab6aaf46c516cbef2020-11-25T01:31:27ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812010-06-015(21)10511610.14498/vsgtu795Asymptotic Analysis of Hydraulic Fracture Crack Process GrowthV. I. Astaf'evIn this work the self-similar solution of a problem of propagation of hydraulic fracture crack is presented. It is proposed that a crack is focused vertically and research of of its development process is analyzed within the coupled problem of the hydrodynamics theory (flow of viscous fluids) and the linear theory of elasticity (fracture crack growth). Asymptotics of the self-similar solution at the long and small distances from tip of a crack were obtained. Simple approximations of the solution in all length range are offered. http://mi.mathnet.ru/eng/vsgtu795 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
V. I. Astaf'ev |
| spellingShingle |
V. I. Astaf'ev Asymptotic Analysis of Hydraulic Fracture Crack Process Growth Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| author_facet |
V. I. Astaf'ev |
| author_sort |
V. I. Astaf'ev |
| title |
Asymptotic Analysis of Hydraulic Fracture Crack Process Growth |
| title_short |
Asymptotic Analysis of Hydraulic Fracture Crack Process Growth |
| title_full |
Asymptotic Analysis of Hydraulic Fracture Crack Process Growth |
| title_fullStr |
Asymptotic Analysis of Hydraulic Fracture Crack Process Growth |
| title_full_unstemmed |
Asymptotic Analysis of Hydraulic Fracture Crack Process Growth |
| title_sort |
asymptotic analysis of hydraulic fracture crack process growth |
| publisher |
Samara State Technical University |
| series |
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| issn |
1991-8615 2310-7081 |
| publishDate |
2010-06-01 |
| description |
In this work the self-similar solution of a problem of propagation of hydraulic fracture crack is presented. It is proposed that a crack is focused vertically and research of of its development process is analyzed within the coupled problem of the hydrodynamics theory (flow of viscous fluids) and the linear theory of elasticity (fracture crack growth). Asymptotics of the self-similar solution at the long and small distances from tip of a crack were obtained. Simple approximations of the solution in all length range are offered.
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| url |
http://mi.mathnet.ru/eng/vsgtu795 |
| work_keys_str_mv |
AT viastafev asymptoticanalysisofhydraulicfracturecrackprocessgrowth |
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1725086598385631232 |