| Titre : | Plane-strain propagation of a fluid-driven crack in a permeable rock with fracture toughness |
| Auteurs : | J. Hu, Auteur ; D. I. Garagash, Auteur |
| Type de document : | Article : texte imprimé |
| Dans : | Journal of engineering mechanics (Vol. 136 N° 9, Septembre 2010) |
| Article en page(s) : | pp. 1152-1166 |
| Note générale : | Mécanique appliquée |
| Langues : | Anglais |
| Tags : | Cracking Porous media Leakage Numerical analysis Rocks. |
| Résumé : | A solution to the problem of a plane-strain fluid-driven crack propagation in elastic permeable rock with resistance to fracture is presented. The fracture is driven by injection of an incompressible Newtonian fluid at a constant rate. The solution, restricted to the case of zero lag between the fluid front and the fracture tip, evolves from the early-time regime when the fluid flow takes place mostly inside the crack toward the large-time response when most of the injected fluid is leaking from the crack into the surrounding rock. This transition further depends on a time-invariant partitioning between the energy expanded to overcome the rock fracture toughness and the energy dissipated in the viscous fluid flow in the fracture. A numerical approach is used to compute the solution for the normalized crack length and crack opening and net-fluid pressure profiles as a function of two dimensionless parameters: the leak-off/storage evolution parameter and the toughness/viscosity number. Relation of this solution to the various available asymptotic solutions is discussed. Obtained mapping of the solution onto the problem parametric space has a potential to simplify the tasks of design, modeling, and data inversion for hydraulic fracturing treatments and laboratory experiments. |
| DEWEY : | 620.1 |
| ISSN : | 0733-9399 |
| En ligne : | http://ascelibrary.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JENMDT000136000009001152000001&idtype=cvips&gifs=Yes&ref=no |
