A formulation of fully coupled thermal-hydraulic-mechanical behaviour of saturated porous media - Numerical approach

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 21, Issue 3, 1997, Pages 199-225

  Gatmiri, Behrooz ^a   Delage, Pierre ^a  

^a UNIVERSITÉ PARIS EST   (France)

Author keywords

Finite element method; Nuclear waste disposed; Numerical analysis; Saturated porous media; Temperature effect; Thermohydromechanics

Indexed keywords

ENERGY TRANSFER; FINITE ELEMENT METHOD; HYDRAULICS; MECHANICAL PERMEABILITY; POROUS MATERIALS; RADIOACTIVE WASTE DISPOSAL; SATURATION (MATERIALS COMPOSITION); SOILS; STRESSES; SURFACES; THERMAL EFFECTS; THERMODYNAMICS;

DARCY LAW; FOURIER LAW; THERMAL VOID RATIO STATE SURFACE;

NUMERICAL METHODS;

FINITE ELEMENT METHOD; POROUS MEDIUM; RADIOACTIVE WASTE; RADIOACTIVE WASTE DISPOSAL; THERMOHYDROMECHANICS;

EID: 0031106390     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1096-9853(199703)21:3<199::AID-NAG865>3.0.CO;2-M     Document Type: Article

References (44)

1. G. F. Pinder, 'State of art review of geothermal reservoir modeling', Report LBL-9093, Lawrence Berkley Lab. Berkley, CA, 1979.
2. J. S. Y. Wang, R. Sterbentz and C. F. Tsang, 'The state of the art of numerical modeling of thermohydrologic flow in fractured rock masses', Report LBL-10524, Lawrence Berkeley Lab., Berkeley, CA, 1980.
3. M. A. Biot, 'General theory of three-dimensional consolidation', J. Appl. Phys. 12, 144-164 (1941).
4. M. A. Biot, Thermoelasticity and irreversible thermodynamics', J. Appl. Phys., 27, 240-353 (1956).
5. M. A. Biot, 'Theory of finite deformation of porous solid' Indiana Univ. Math. J., 21, 597-620 (1972).
6. M. A. Biot, 'Non-linear and semi-linear theory of porous solids', J. Geophys. Res., 78, 4924-4937 (1973).
7. J. R. Rice and M. P. Cleary, 'Some basic stress-diffusion solution for fluid-saturated elastic porous media with compressible constituents', Rev. Geophys. Space Phys., 14, 227-241 (1976).
8. R. S. Sindhu and E. L. Wilson, 'Finite element analysis of seepage in elastic media', J. eng. mech. div. ASCE, 95, 641-652 (1969).
9. J. Ghaboussi and E. L. Wilson, 'Flow of compressible fluid in porous elastic media', Int. j. numer. methods eng., 5, 419-442 (1973).
10. B. Gatmiri, 'A simplified finite element analysis of wave-induced effective stresses and pore pressures in permeable sea beds', Géotechnique, 40, 15-30 (1990).
11. B. Gatmiri, 'Response of cross-anisotropic seabed to ocean waves', J. Geotech. Div. ASCE, 118, 1295-1314 (1992).
12. B. Gatmiri, 'Wave-induced pore pressure and effective stress distributions in a non-linear sea bed; Proc. XIII Int Conf. on Soil Mechanics and Foundation Engineering, New Delhi, India, 1994, pp.1665-1669.
13. R. G. Baca, 'Coupled geomechanical/hydraulical modeling: an overview of BWIP studies', Proc. ONW I Workshop on Thermomechanical-Hydrochemical Modeling for Hard Rock Waste Repository, Report LBL-I1204, Lawrence Berkely Lab., Berkely, CA, 1980.
14. C. F. Tsang, 'A review of the state of the art of thermomechanical-hydrochemical modeling of a hard rock waste repository' Proc. ONW I Workshop on Thermomechanical Hydrochemical Modeling for a Hard Rock Waste Repository, Report LBL-11204, Lawrence Berkely Lab., Berkely, CA, 1980.
15. Y. C. Fung, "Thermoelasticity' in Fundamental of Solid Mechanics, Chapter 14, Prentice-Hall, Englewood Cliffs, NJ, 1965, pp. 385-411.
16. R. L. Schiffman, 'A thermoelastic theory of consolidation', Environ. Geophys. Heat Transfer Div., ASME 4, 78-84 (1972).
17. J. W. Perichett, S. K. Grag, D. H. Brownell, Jr. and H. B. Levine, 'Geohydrological environment effects of geothermal power production phase I', Report SSS-R-75-2733, Syst. Sci. and Software, La Jolla, CA, 1975.
18. D. H. Brownell, Jr, S. K. Grag and J. W. Pritchett, 'Governing equations for geothermal reservoirs', Water Resour. Res., 13, 929-934 (1977).
19. J. Bear and M. Y. Corapcioglu, 'A mathematical model for consolidation in a thermoelastic aquifer due to hot water injection or pumping', Water Resour. Res., 17, 723-736 (1981).
20. J. Noorishad, C. F. Tsang and P. A. Witherspoon, 'Coupled thermal-hydraulic-mechanical phenomena in saturated fractured porous rocks: numerical approach', J. Geophys. Res., 89, 365-373 (1984).
21. A. E. Green and P. M. Naghdi, 'A dynamical theory of interacting continua', Int. J. Eng. Sci., 3, 231-241 (1965).
22. M. J. Crochet and P. M. Naghdi, 'On constitutive equations for flow of fluid through an elastic solid', Int. J. Eng. Sci., 4, 383-401 (1966).
23. E. C. Aifantis, 'Introducing a multi-porous medium', Dev. Mech., 9, 209-211 (1977).
24. B. L. Aboustit, S. H. Advani, J. K. Lee and R. S. Sandhu, 'Finite element evaluations of thermoelastic consolidation', Issues on Rock Mechanics, 23rd Symp. on Rock Mechanics, ASME, University of California-Berkely, 1982, pp. 587-595.
25. B. L. Aboustit, S. H. Advani and J. K. Lee, 'Variational principles and finite element simulations for thermoelastic consolidation', Int. j. numer analyt. methods geomech., 9, 49-69 (1985).
26. J. R. Booker and C. Savvidou, 'Consolidation around a point heat source', Int. j. numer. Analyt. methods geomech., 9, 173-184 (1985).
27. D. E. McTigue, Thermoelastic response of fluid-saturated porous rock', J. Geophys. Res., 91, 9533-9542 (1986).
28. R. W. Lewis, C. E. Majorana and B. A. Schrefler, 'A coupled finite element model for the consolidation of non-isothermal elastoplastic porous media', Transport Porous Media, 1, 155-178 (1986).
29. A. M. Britto, C. Savvidou, D. V. Maddocks, M. J. Gunn and J. R. Booker, 'Numerical and centrifuge modeling of coupled heat flow and consolidation around hot cylinders buried in clay', Géotechnique, 39, 13-25 (1989).
30. T. Hueckel and G. Baldi, Thermoplasticity of saturated clays: experimental constitutive study', J. Geotech. Div. ASCE, 116, 1778-1796 (1990).
31. T. Hueckel and M. Borsetto,' Thermoplasticity of saturated soils and shales: constitutive equations', J. Geotech. Div. ASCE, 116, 1765-1777 (1990).
32. J. W. Mercer, 'Finite element approach to the modeling of hydrothermal systems', Ph.D. Thesis, University of Illionis, Urbana-Champaign, 1973.
33. S. L. Houston, W. N. Houston and N. D. Williams, 'Thermo-mechanical behavior of seafloor sediments', J. Geotech. Div. ASCE, 111, 1249-1263 (1985).
34. P. A. Vermeer and A. Verruijt, 'An accuracy condition for consolidation by finite elements'. Int. j. numer. analyt. methods geomech., 5, 1-14 (1981).
35. R. S. Sandhu, H. Liu, and K. J. Singh, 'Numerical performance of some finite schemes for analysis of seepage in porous elastic media', Int. j. numer. analyt. methods geomech., 5, 177-195 (1977).
36. J. R. Booker and J. C. Small, 'An investigation of the stability of numerical solution of Biot's equations of consolidation', Int. j. solids struct., 11, 907-919 (1975).
37. B. Gatmiri and P. Magnin, 'Minimum time step criterion in FE analysis of unsaturated consolidation, model U-DAM', Proc. 3rd European Speciality Conf. on Numerical Methods in Geotechnical Engineering, Manchester, 1994.
38. T. Hueckel, and R. Pellegrini, 'Thermoplastic modeling of undrained failure of saturated clay due to heating', Soils Found. 31, 1-16 (1991).
39. R. G. Campanella and J. K. Mitchell, 'Influence of temperature variations on soil behaviour', J. Soil Mech. Found. Div. ASCE, 3, 709-734 (1968).
40. A. J. Chapman, Heat Transfer, Macmillan, New York, 1967.
41. H. N. Seneviratne, J. P. Carter, D. W. Airey and J. R. Booker, 'A review of models of predicting the theromechanical behaviour of soft clays', Int. j. numer. analyt. methods geomech., 17, 715-733 (1993).
42. H. N. Seneviratne, J. P. Carter and J. R. Booker, 'Analysis of fully coupled thennomechanical behaviour around a rigid cylindrical heat source buried in clay', Int. j. numer. analyt. methods geomech, 18, 177-203 (1994).
43. G. Baldi, T. Hueckel and R. Pellegrini, Thermal volume changes of the mineral-water system in low-porosity clay soils', Canad. Geotech. J., 25, 807-825 (1988).
44. J. P. Carter and J. R. Booker, 'Finite element analysis of coupled thermoelasticity', Comput. Struct. 31, 73-80 (1989).