Modelling of hydro-fracture flow in porous media

Engineering Computations (Swansea, Wales)

Volumn 27, Issue 1, 2010, Pages 129-154

  Lobao, Mauricio Centeno ^a,b   Eve, Rob ^c   Owen, D R J ^a   De Souza Neto, Eduardo Alberto ^a  

^a SWANSEA UNIVERSITY   (United Kingdom)

^b BLACK AND VEATCH   (United States)

^c Rockfield Software Limited   (United Kingdom)

Author keywords

Finite element analysis; Flow; Fracture; Hydraulic equipment; Oil industry; Porous materials

Indexed keywords

COMPUTATIONAL COSTS; CONTACT CONDITIONS; COUPLING PROCEDURE; CPU TIME; DESIGN/METHODOLOGY/APPROACH; EXPLICIT TIME INTEGRATION SCHEME; FINITE ELEMENT ANALYSIS; FLOW; FRACTURE NETWORK; HYDRO-FRACTURE; IN-SITU STRESS FIELD; INTER-DEPENDENCES; LINEAR ELEMENT; MASTER-SLAVE; MECHANICAL RESPONSE; OIL INDUSTRIES; OIL PRODUCTION; PARTIALLY SATURATED; PLASTIC ZONES; POROUS MEDIUM; SINGLE POINT; STABILIZATION TECHNIQUES; SUBCYCLING; ZERO ENERGY MODES;

FINITE ELEMENT METHOD; FRACTURE; HYDRAULIC EQUIPMENT; HYDRAULICS; PETROLEUM REFINERIES; PORE PRESSURE; POROUS MATERIALS; SEEPAGE; STRESSES; THREE DIMENSIONAL;

HYDRAULIC MACHINERY;

EID: 76249122506     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644401011008568     Document Type: Article

References (27)

1. Belytschko, T., Ong, J.S.-J., Liu, W.K. and Kennedy, J.M. (1984), "Hourglass control in linear and nonlinear problems", Computer Methods in Applied Mechanics and Engineering, Vol.43, pp. 251-276
2. Boone, T.J., Ingraffea, A.R. and Roegiers, J.C. (1991), "Simulation of a hydraulic fracture propagation in poroelastic rock with application to stress measurement techniques", Intenational Journal of Rock Mechanics Mining Science & Geomechanics, Vol.28 No.1, pp. 1-14.
3. Desroches, J., Detournay, E., Lenoach, B., Papanastasiou, P., Pearson, J., Thiercelin, M. and Cheng, A. (1994), "The crack tip region in hydraulic fracturing", Proceedings of Royal Society of London, Vol.447, pp. 39-48.
4. Endo, H.K., Long, J.C.S., Wilson, C.R. and Witherspoon, P.A. (1984), "A model for investigating mechanical transport in fracture networks", Water Resources Research, Vol.20, No.10, pp. 1390-1400
5. Guiducci, C., Pellegrino, A., Radu, J.P., Collin, F. and Charlier, R. (2002), "Numerical modeling of hydro-mechanical fracture behavior", in Pande, G.N. and Pietruszczak, S. (Eds), Numerical Models in Geomechanics NUMOG VII, Swets & Zeitlinger, Lisse, pp. 293-299
6. Iwai, K. (1976a), "Fluid flow in simulated fractures", American Institute of Chemical Engineering Journal, Vol.2, pp. 259-263
7. Iwai, K. (1976b), "Fundamental studies of fluid flow through a single fracture", PhD thesis, University of California, Berkeley, CA.
8. Jing, L., Ma, Y. and Fang, Z. (2001), "Modeling of fluid flow and solid deformation for fractured rocks with discontinuous deformation analysis (dda) method", International Journal of Rock Mechanics & Mining Sciences, Vol.38, pp. 343-355
9. Liu, W.K. and Belytschko, T. (1984), "Efficient linear and nonlinear heat conduction with a quadrilateral element", International Journal for Numerical Methods in Engineering, Vol.20, pp. 931-948
10. Lobão, M.C. (2007), "Finite element modelling of hydraulic fracture flow in porous media", PhD thesis, University ofWales Swansea.
11. Moench, A.F. (1984), "Double-porosity models for a fissured groundwater reservoir with fracture skin" Water Resources Research, Vol.20, No.7, pp. 831-846
12. Neal, M.O. and Belytschko, T. (1989), "Explicit-explicit subcycling with noninteger time step ratios for structural dynamic systems", Computers & Structures, Vol.31, pp. 871-880
13. Ng, K.L.A. and Small, J.C. (1997), "Behavior of joints interfaces subjected to water pressure", Computers and Geotechnics, Vol.20, No.1, pp. 71-93.
14. Papanastasiou, P. (1997a), "A coupled elastoplastic hydraulic fracturing model", International Journal of Rock Mechanics and Mining Sciences, Vol.34 Nos. 3/4, Paper No. 240.
15. Papanastasiou, P. (1997b), "The influence of plasticity in hydraulic fracturing", International Journal of Fracture, Vol.84, pp. 61-97.
16. Papanastasiou, P. (1999a), "An efficient algorithm for propagating fluid-driven fractures", Computational Mechanics, Vol.24, pp. 258-267
17. Papanastasiou, P. (1999b), "Formation stability after hydraulic fracturing", International Journal for Numerical and Analytical Methods in Geomechanics, Vol.23, pp. 1927-1944
18. Pruess, K.,Wang, J.S.Y. and Tsang, Y.W. (1990), "On thermohydrologic conditions near high-level nuclear wastes emplaced in partially saturated fractured tuff. 2. effective continuum approximation", Water Resources Research, Vol.26, No.6, pp. 1249-1261
19. Segura, J.M. and Carol, I. (2004), "On zero-thickness interface elements for diffusion problems", International Journal for Numerical and Anlytical Methods in Geomechanics, Vol.28, pp. 947-962
20. Segura, J.M. and Carol, I. (2005), "Fluid driven fracture analysis with zero-thickness interface elements". Proceedings of the VIII International Conference on Computational Plasticity, International Center for Numerical Methods in Engineering (CIMNE), Barcelona.
21. Smith, L. and Schwartz, F.W. (1984), "An analysis of the influence of fracture geometry on mass transport in fractured media", Water Resources Research, Vol.20, pp. 1241-1252
22. Snow, D.T. (1968), "Rock fracture spacings, openings and porosities", Journal of Soil Mechanics Foundations Division, Vol.94 No.1, pp. 73-91.
23. Sudicky, E.A. and McLaren, R.G. (1992), "The laplace transform galerkin technique for largescale simulation of mass transport in discretely fractured porous formation", Water Resources Research, Vol.28, No.2, pp. 499-514.
24. van Dam, D.B., Papanastasiou P. and de Pater, C.J. (2002), "Impact of rock plasticity on hydraulic fracture propagation and closure", paper SPE 78812 presented at the 2000 SE Annual Technical Conference and Exhibition, Dallas, TX, 1-4 October.
25. Witherspoon, P.A.,Wang, J.S.Y., Iwai, K. and Gale, J.E. (1980), "Validity of cubic law for fluid flow in a deformable rock fracture", Water Resources Research, Vol.16 No.6, pp. 1016-1024
26. Woodbury, A. and Zhang, K. (2001), "Lanczos method for the solution of groundwater flow in discretely fractured porous media", Advances in Water Resources, Vol.24, pp. 621-630
27. Zienkiewicz, O.C., Chang, C.T. and Bettess, P. (1980), "Drained, undrained, consolidating and dynamic behaviour assumptions in soils. limits of validity", Geotechnique, Vol.30, pp. 385-395