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Analysis of power-law self-similar solutions to the problem of hydraulic fracture crack formation

✍ Scribed by N. N. Smirnov; V. R. Tagirova


Book ID
111495036
Publisher
Allerton Press, Inc.
Year
2007
Tongue
English
Weight
224 KB
Volume
62
Category
Article
ISSN
0027-1330

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πŸ“œ SIMILAR VOLUMES


Self-similar solution of the plane probl
✍ E.V. Teodorovich πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 238 KB

The plane problem of the evolution of a hydraulic fracture crack in an elastic medium is considered. It is established that a self-similar solution is only possible at a constant rate of fluid injection. The solution for the value of the crack opening is presented in the form of a series expansion i

Similarity and dimensional analysis in t
✍ A.Kh. Pergament; D.A. Ul’kin πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 272 KB

The problem of the growth of a vertical hydraulic fracture crack in an unbounded elastic medium under the pressure produced by a viscous incompressible fluid is studied qualitatively and by numerical methods. The fluid motion is described in the approximation of lubrication theory. Near the crack ti