Simulation of the hydraulic fracture process in two dimensions using a discrete element method

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 75, Issue 6, 2007, Pages

  Torres, Sergio Andres Galindo ^a   Castaño, Jose Daniel Muñoz ^a  

^a UNIVERSIDAD NACIONAL DE COLOMBIA   (Colombia)

Author keywords

[No Author keywords available]

Indexed keywords

CRUDE PETROLEUM; FLUID DYNAMICS; HYDROELASTICITY; MATHEMATICAL MODELS; OIL WELLS;

ELASTIC BEAMS; HYDRAULIC COLUMNS; MOHR-COULOMB FRACTURE CRITERIUM; PETROLEUM WELLS;

HYDRAULIC FRACTURING;

EID: 34547325223     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.066109     Document Type: Article

References (16)

1. M. Economides, Reservoir Stimulation (Wiley, New York, 2000).
2. W. S. Lee, Lagrangian formulation for penny shaped and Perkins Kern geometry models, SPE formation evaluation, 1989.
3. K. Ben-Naceur, Modelling of Hydraulic Fractures (Dowell, Schlumberger, 1995).
4. F. Kun, arXiv:cond-mat/9512017.
5. F Kun, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/S0129183196000697 7, 837 (1996).
6. Prediction of sand erosion in process and pipe components, edited by, J. P. Brill, and, G. A. Gregory, BHR group Conference Series, No. 31, pp. 217-227.
7. D. C. Rapaport, The Art of Molecular Dynamics (Cambridge University Press, Cambridge, 1995).
8. L. Verlet, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.159.98 159, 98 (1967);
9. L. Verlet, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.165.201 165, 201 (1967).
10. M. C. Potter and D. C. Wiggert, Mechanics of fluids, 3rd ed., Brooks/Cole Editorial, 2001.
11. R. E. Jonhson and C. W. Gustafson, Phys. Fluids PFLDAS 0031-9171 10.1063/1.866929 31, 3180 (1988).
12. F. Tzschichholz and H. Herrmann, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.1961 51, 1961 (1995).
13. A. Bunde and S. Havlin, Fractals and Disordered Systems (Springer-Verlag, Berlin, Heidelberg, 1996).
14. L. C. Murdoch, J. Geotech. Geoenviron. Eng. JGGEFK 1090-0241 10.1061/(ASCE)1090-0241(2002)128:6(479) 128, 479 (2002).
15. J. Adachi, Int. J. Rock Mech. Min. Sci. ZZZZZZ 1365-1609 44, 739 (2007).
16. F. Tzschichholz and M. Wangen, Modelization of Hydraulic Fracture in Porous Materials. Advances in Fracture Mechanics (WIT, Southhampton, 1999), pp. 227-261.