On zero-thickness interface elements for diffusion problems

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 28, Issue 9, 2004, Pages 947-962

  Segura, J M ^a   Carol, Ignacio ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Discontinuities; Discrete approach; Flow through discontinuities; Fractured porous media; Joints; Zero thickness interface elements

Indexed keywords

CONTINUUM MECHANICS; DIFFUSION; FLOW OF FLUIDS; FRACTURE; HYDRAULICS; INTERFACES (MATERIALS);

DISCRETE FRACTURE FLOW; ZERO-THICKNESS INTERFACE ELEMENTS;

FINITE ELEMENT METHOD;

DISCONTINUITY; FLUID FLOW; FRACTURE FLOW; GEOMECHANICS; JOINT;

EID: 4644262330     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/nag.358     Document Type: Article

References (27)

1. SLong JCS. Remer JS. Wilson CR. Witherspoon PA. Porous media equivalents for networks of discontinuous fractures. Water Resources Research 1982: 18:645-658.
2. Pruess K. Wang JSY, Tsang YW. Effective continuum approximation for modeling fluid flow in fractured porous tuff. Report SAN F86-7000 Sandia National Laboratories. Albuguerque. NM. 1986.
3. Pruess K. Wang JSY. Tsang YW. On thermohydrologie conditions near high-level nuclear wastes emplaced in partially saturated fractured tuff: 1. Simulation studies with explicit consideration of fracture effects. Water Resources Research 1990: 26(6):1235-1248.
4. Jackson CP, Hoch AR, Todman S. Self-consistency of a heterogenous continuum porous medium representation of a fractured medium. Water Resource 2000: 36(1):189-202.
5. Barenblatt GE, Zheltov IP, Kochina IN. Basic concepts in the theory of seepage of homogenous liquids in fissured rocks. Journal of Applied Mathematics (USSR) 1960: 24(5):1286-1303.
6. Warren JE, Root PJ. The behaviour of naturally fractured reservoirs. Society of Petroleum Engineer Journal 1963: Sept:245-255.
7. Moench AF. Double-porosity models for a fissured groundwater reservoir with fracture skin. Water Resources Research 1984:20:831-846.
8. Zimmerman RW. Chen G, Hadgu T, Bodvarsson GS. A numerical dual-porosity model with semianalytical treatment of fracture/matrix flow. Water Resources Research 1993:29:2127-2137.
9. Andersson J, Dverstorp B. Conditional simulations of fluid flow in three-dimensional networks of discrete fractures. Water Resources Research 1987: 23(10):1876-1886.
10. Berkowitz B, Bear J. Braester C. Continuum models for contaminant transport in fractured porous formations. Water Resources Research 1988: 24(8):1225-1236.
11. Sudicky EA, McLaren RG. The Laplace transform Galerkin technique for large-scale simulation of mass transport in discretely fractured porous formations. Water Resources Research 1992: 28(2):499-514.
12. Woodbury A, Zhang K. Lanczos method for the solution of groundwater flow in discretely fractured porous media. Advances in Water Resources 2001: 24(6):621-630.
13. Boone TJ, Ingraffea AR. A numerical procedure for simulation of hydraulically-driven fracture propagation in poroelastic media. International Journal for Numerical and Analytical Methods in Geomechanics 1990: 14(2):27-47.
14. Boone TJ. Ingraffea AR, Roegiers J-C. Simulation of hydraulic fracture propagation in poroelastic rock with application to stress measurement techniques. International Journal of Rock Mechanics and Mining Science & Geomechanics Abstracts 1991: 28(1):1-14.
15. Goodman RE, Taylor RL, Brekke TL. A model for the mechanics of jointed rock. Journal of the Soil Mechanics and Foundations Division (ASCE) 1968: 94(SM3):637-659.
16. Carol I. Gens A. Alonso E. A three dimensional elastoplastic joint element. In Fundamentals of Rock Joints. Stephansson O (ed.). Centek Publishers: Lulea, Sweden, 1985: 441-451.
17. Gens A. Carol I, Alonso EE. An interface element formulation for the analysis of soil-reinforcement interaction. Computers and Geotechnics 1988: 7:133-151.
18. Gens A, Carol I. Alonso EE. A constitutive model for rock joints; formulation and numerical implementation. Computers and Geotechnics 1990: 9:3-20.
19. Stankowski T. Runesson K. Sutre S. Fracture and slip of interfaces in cementitious composites: I: characteristics: II: implementation. Journal of Engineering Mechanics (ASCE) 1993: 119(2):292-327.
20. Prat P, Delahaye C, Gens A, Carol I, Alonso E. Safety evaluation of an arch dam founded on fractured rock based on a 3D nonlinear analysis with joint elements. In Dam Fracture and Fatigue. Bourdarot E. Mazars J. Saouma V (eds). AA Balkema: Rotterdam, 1994: 211-220.
21. Carol I, Prat P. Lpez CM. A normal/shear cracking model. Application to discrete crack analysis. Journal of Engineering Mechanics (ASCE) 1997: 123(8):765-773.
22. Carol I. Lpez CM, Roa O. Micromechanical analysis of quasi-brittle materials using fracture-based interface elements. International Journal for Numerical Methods in Engineering 2001: 52:193-115.
23. Mestre X. Flow analysis in porous media using the FEM and 3D joints elements. Degree Thesis ETSECCPB-UPC. Barcelona, Spain, 1999 (in catalan).
24. Segura JM, Carol I. Zero-thickness interface elements for hydraulic fracture simulation. In XX Anales de la Mecánica de Fractura. Benicàssim. Spain. 2003: 143-148.
25. Guiducci C, Pellegrino A. Radu JP. Collin F, Charlier R. Numerical modeling of hydro-mechanical fracture behavior. In Numerical Models in Geomechanics-NUMOG VIII. Pande GN. Pietruszczak S (eds). Swets & Zȩitlinger: Lisse, 2002: 293-299.
26. Ng KLA, Small JC. Behavior of joints and interfaces subjected to water pressure. Computers and Geotechnics 1997; 20(1):71-93.
27. Snow D. A parallel plate model of fractured permeable media. Ph.D. Dissertation. University of California, Berkeley, 1965.