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
Self-similar solution of the problem of pseudo-three-dimensional vertical hydraulic fracture propagation in an impermeable stratum
β Scribed by Yu. N. Gordeev
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 382 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0015-4628
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π SIMILAR VOLUMES
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
## An approximate method is described for the numerical treatment of a three-dimensional free boundary problem arising in hydraulics. In this method the solution of the free boundary problem is reduced to the numerical solution of a first-order system of ordinary differential equations by use of a