Fluid leakoff determines hydraulic fracture dimensions: Approximate solution for non-Newtonian fracturing fluid

International Journal of Engineering Science

Volumn 49, Issue 9, 2011, Pages 809-822

  Mikhailov, Dmitry N ^a   Economides, Michael J ^b   Nikolaevskiy, Victor N ^a  

^a SCHMIDT INSTITUTE OF PHYSICS OF THE EARTH   (Russian Federation)

^b UNIVERSITY OF HOUSTON   (United States)

Author keywords

Hydraulic fracture; Integral transform; Leakage; Non Newtonian properties; Non steady fluid flows; Porous media; Pressure diffusion; Special boundary condition

Indexed keywords

HYDRAULIC FRACTURE; INTEGRAL TRANSFORM; NON-NEWTONIAN PROPERTY; NON-STEADY FLUID FLOWS; PRESSURE DIFFUSION; SPECIAL BOUNDARIES;

BOUNDARY CONDITIONS; CRACKS; FRACTURE; FRACTURING FLUIDS; HYDRAULIC FRACTURING; HYDRAULICS; INTEGRAL EQUATIONS; POROUS MATERIALS;

NON NEWTONIAN FLOW;

EID: 79959459903     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2011.03.021     Document Type: Article

References (21)

1. M.A. Biot, L. Masse, and W.L. Medlin A two-dimensional theory of fracture propagation SPE Production Engineering January 1988 17 30
2. E. Detournay, and D.I. Garagash The near-tip region of a fluid-driven fracture propagating in a permeable elastic solid Journal of Fluid Mechanics 494 2003 1 32 (Pubitemid 37497085)
3. V.A. Ditkin, and P.I. Kuznetzov Handbook on operation calculus 1951 Gostekhizdat Moscow
4. M.J. Economides, D.N. Mikhailov, and V.N. Nikolaevskiy On the problem of fluid leakoff during hydraulic fracturing Transport in Porous Media 67 2007 487 499 (Pubitemid 46431879)
5. M.J. Economides, R. Oligney, and P. Valko Unified fracture design 2002 Orsa Press Alvin, Texas
6. Yu.N. Gordeyev, and A.F. Zazovsky Self-similar solution for deep-penetrating hydraulic fracture propagation Transport in Porous Media 7 1992 283 304 (Pubitemid 23568600)
7. A.A. Griffith The phenomenon of rupture and flow in solids Philosophical Transactions of the Royal Society A221 1920 163 198
8. L. Kemp Study of Nordgren's equation of hydraulic fracturing SPE Production Engineering 1990 311 314 [SPE 18959]
9. Khristianovich, S. A., Zheltov, Y. P., Barenblatt, G. I. & Maximovich, G. K. (1959). Theoretical principles of hydraulic fracturing of oil strata. In The 5th world oil congress (Section II, p. 23).
10. L. Murdoch, and L. Germanovich Analysis of a deformable fracture in permeable material International Journal for Numerical and Analytical Methods in Geomechanics 30 2006 529 561
11. V.N. Nikolaevskiy Geomechanics and fluidodynamics (with Applications to Reservoir Engineering) 1996 Kluwer Dordrecht
12. V.N. Nikolaevskiy, K.S. Basniev, A.T. Gorbunov, and G.A. Zotov Mechanics of saturated porous media 1970 Nedra Moscow pp. 335
13. R.P. Nordgren Propagation of a vertical hydraulic fracture Journal of Petroleum Technology 253 1972 306 314 [SPE 3009]
14. T.K. Perkins, and L.R. Kern Width of the hydraulic fractures Journal of Petroleum Technology 1961 937 949
15. P.Y. Polubarinova-Kochina Theory of ground water flows 2nd ed. 1977 Nauka Moscow
16. L.I. Rubinshtein Temperature fields in oil formations 1972 Nedra Moscow
17. Sneddon, I. (1961). Fourier transforms. New York.
18. I.N. Sneddon Integral transform methods G.C. Sih, Mechanics of fracture, Part 1. Methods of analysis and solution of crack problems 1973 Nordhoff Int. Leyden
19. P. Valko, and M.J. Economides Hydraulic fracture mechanics 1995 Wiley Chichester pp. 298
20. Y.P. Zheltov Mechanics of oil/gas seam 1975 Nedra Moscow
21. R.W. Zimmerman, and I. Main Hydromechanical behavior of fractured rocks Y. Gueguen, M. Bouteca, Mechanics of fluid-saturated rocks 2004 Elsevier Boston 363 421