A Poroelastic PKN Hydraulic Fracture Model Based on an Explicit Moving Mesh Algorithm

Journal of Energy Resources Technology, Transactions of the ASME

Volumn 112, Issue 4, 1990, Pages 224-230

  Detournay, E ^a   Cheng, A H D ^b   McLennan, J D ^c  

^a SCHLUMBERGER CAMBRIDGE RESEARCH   (United Kingdom)

^b UNIVERSITY OF DELAWARE   (United States)

^c SCHLUMBERGER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84915385149     PISSN: 01950738     EISSN: 15288994     Source Type: Journal    
DOI: 10.1115/1.2905762     Document Type: Article

References (17)

1. Biot, M. A., 1941, “General Theory of Three-Dimensional Consolidation,” Journal of Applied Physics., Vol. 12, pp. 155-164.
2. Boone, T. J., and Detournay, E., 1990, “Response of a Vertical Hydraulic Fracture Intersecting a Poroelastic Formation Bounded by Semi-Infinite Impermeable Elastic Layers,” Int. Journal of Rock Mechanics, Mining Science and Geomechanics Abstr., Vol. 27, pp. 189-197.
3. Carvalho, J., 1990, personal communication.
4. Cleary, M.P., 1980, “Comprehensive Design Formulae for Hydraulic Fracturing,” SPE 9259, Proceedings of the 55th A nnual Fall Technical Conference, Dallas, Tex.
5. Detournay, E., and Cheng, A.H-D., 1990, “Hydraulic Fracture in Poroelastic Media: Stationary Fracture,” Int. Journal of Solids and Structures.
6. Detournay, E., Cheng, A.H-D., Roegiers, J-C., and McLennan, J. D., 1989, “Poroelastic Considerations in In-Situ Determination by Hydraulic Fracturing,” Int. Journal of Rock Mechanics and Mining Science and Geomechanics Abstr., Vol. 26, pp. 507-513.
7. Mendelsohn, D., 1984, “A Review of Hydraulic Fracture Modeling—Part 1: General Concepts, 2D Models, Motivation for 3D Modeling,” ASME Journal of Energy Research Technology, Vol. 106, pp. 369-376.
8. Nilson, R. H., and Griffiths, S. K., 1983, “Numerical Analysis of Hydraul-ically-Driven Fractures,” Journal of Computer Methods and Applied Mechanics and Engineering, Vol. 36, pp. 359-370.
9. Nolte, K. G., 1979, “Determination of Fracture Parameters From Fracturing Pressure Decline,” SPE 8341, Proceedings of the 54th Annual Fall Technical Conference, Las Vegas.
10. Nolte, K. G., 1988, personal communication.
11. Nolte, K. G., and Economides, M. J., 1989, “Fracturing Diagnosis Using Pressure Analysis,” Chap. 7, Reservoir Stimulation, 2nd Edition, eds., M. J. Economides and K. G. Nolte, Prentice Hall.
12. Nordgren, R. P., 1972, “Propagation of a Vertical Hydraulic Fracture,” Society of Petroleum Engineering Journal, Trans. AIME, Vol. 253, pp. 306-314.
13. Perkins, T. K., and Kern, L. R., 1961, “Widths of Hydraulic Fractures,” Journal of Petroleum Technology, Trans. AIME, Vol. 22, pp. 937-949.
14. Press, W. H., Flannery, B. P., Teukolshy, S. A., and Vetterling, W. T., 1986, Numerical Recipes, Cambridge University Press.
15. Ramamurthy, G., and Hujeux, J-C., 1988, “A Moving Mesh Integro-Vari-ational Formulation Applied to Hydraulic Fracturing,” Computational Mechanics ‘88, Vol. 2, Proceedings of the International Conference on Computer Engineering Science.
16. Rice, J. R., and Cleary, M. P., 1976, “Some Basic Stress-Diffusion Solutions for Fluid Saturated Elastic Porous Media With Compressible Constituents,” Review of Geophysics and Space Physics, Vol. 14, pp. 227-241.
17. Settari, A., 1985, “A New General Model of Fluid Loss in Hydraulic Fracturing,” Society of Petroleum Engineering Journal., pp. 491-501.