A computational model for fracturing porous media

International Journal for Numerical Methods in Engineering

Volumn 70, Issue 4, 2007, Pages 423-444

  Al Khoury, R ^a   Sluys, L J ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Double porosity model; Partition of unity; Porous media

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; FRACTURING FLUIDS; POROSITY; POROUS MATERIALS;

DOUBLE POROSITY MODEL; PARTITION OF UNITY;

COMPUTATIONAL FLUID DYNAMICS;

BOUNDARY CONDITIONS; COMPUTATIONAL FLUID DYNAMICS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; FRACTURING FLUIDS; POROSITY; POROUS MATERIALS;

EID: 34247371412     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1886     Document Type: Article

References (18)

1. de Borst R, Sluys LJ. Localisation in a Cosserat continuum under static and dynamic loading conditions. Computer Methods in Applied Mechanics and Engineering 1991; 90:805-827.
2. Schrefler B, Sanavia L, Majorana C. A multiphase medium model for localisation and postlocalisation simulation in geomechanics. Mechanics of Cohesive-Frictional Materials 1996; 1:95-114.
3. Liu X, Scarpus A, Blaauwendraad J. Numerical modelling of nonlinear response of soil - Part 2: strain localization investigation on sand. International Journal of Solids and Structures 2005; 42:1883-1907.
4. Melenk JM, Babuska I. The partition of unity finite element method: basic theory and applications. Computer Methods in Applied Mechanics and Engineering 1996; 139:289-314.
5. Duarte CA, Oden JT. H-p clouds - an h-p meshless method. Numerical Methods for Partial Differential Equations 1996; 12(6):673-705.
6. Barrenblatt GI, Zheltov IP, Kochina IN. Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks. Journal of Applied Mathematics and Mechanics, USSR 1960; 24:1286-1303.
7. Belytschko T, Black T. Elastic crack growth in finite elements with minimal remeshing. International Journal for Numerical Methods in Engineering 1999; 45:601-620.
8. Wells GN, Sluys LJ. A new method for modeling cohesive cracks using finite elements. International Journal for Numerical Methods in Engineering 2001; 50:2667-2682.
9. Ghafouri HR, Lewis RW. A finite element double porosity model for heterogeneous deformable porous media. International Journal for Numerical and Analytical Methods in Geomechanics 1996; 20:831-844.
10. Lewis RW, Pao WKS. Numerical simulation of three-phase flow in deforming fractured reservoirs. Oil and Gas Science and Technology 2002; 57:499-514.
11. Lewis RW, Schrefler BA. The Finite Element Method in Static and Dynamics Deformation and Consolidation of Porous Media (2nd edn). Wiley: New York, 2000.
12. Larsson R, Runesson K, Sture S. Embedded localization band in undrained soil based on regularized strong discontinuity-theory and FE-analysis. International Journal of Solids and Structures 1996; 33:3081-3101.
13. Armero F, Callari C. An analysis of strong discontinuities in a saturated poro-plastic solid. International Journal for Numerical Methods in Engineering 1999; 46:1673-1698.
14. de Borst, Rene, Remmers, Joris JC, Needleman, Alan, Abellan, Marie-Angele. Discrete vs smeard crack models for concrete fracture: bridging the gap. International Journal for Numerical and Analytical Methods in Geomechanics 2004; 28:583-607.
15. Biot MA. General theory of three dimensional consolidation. Journal of Applied Physics 1941; 12:155-163.
16. de Boer R, Ehlers W. On the problem of fluid- and gas-filled elasto-plastic solid. International Journal of Solids and Structures 1986; 22(11):1231-1242.
17. Simone A, Wells GN, Sluys LJ. From continuous to discontinuous failure in a gradient-enhanced continuum damage model. Computer Methods in Applied Mechanics and Engineering 2003; 192(4142):4581-4607.
18. Berry PL, Reid D. An Introduction to Soil Mechanics. McGraw-Hill: New York, U.K., 1987.