A finite element porothermoelastic model for dual-porosity media

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 28, Issue 9, 2004, Pages 875-898

  Nair, R ^a   Abousleiman, Y ^b   Zaman, M ^b  

^a HALLIBURTON   (United States)

^b University of Oklahoma   (United States)

Author keywords

Dual porosity; Finite element; Poroelasticity; Thermal effects

Indexed keywords

FINITE ELEMENT METHOD; FLOW OF FLUIDS; HEAT TRANSFER; MATHEMATICAL MODELS; STRESSES;

DUAL POROSITY MEDIA; POROTHERMOELASTIC MODEL; THERMO-HYDRO-MECHANICAL COUPLING;

POROSITY;

DUAL POROSITY; FINITE ELEMENT METHOD; GEOMECHANICS; THERMOHYDROMECHANICS;

EID: 4644360163     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/nag.336     Document Type: Article

References (24)

1. Biot MA. General theory of three-dimensional consolidation. Journal of Applied Physics 1941: 12:155-164.
2. Biot MA, Willis DG. The elastic coefficients of the theory of consolidation. Journal of Applied Mechanics 1955: 24:594-601.
3. McTigue DF. Thermoelastic response of fluid-saturated porous rock. Journal of Geophysical Research 1986: 91(B9):9533-9542.
4. Kurashige M. Thermal stresses of a fluid-saturated poroelastic hollow cylinder. JSME International Journal of Series I 1992: 35(4):386-391.
5. Bear J, Corapcioglu MY. A mathematical model for consolidation in a thermoelastic aquifer due to hot water injection or pumping. Water Resources Research 1981: 17(3):723-736.
6. Abousleiman Y, Cui L. Poroclastic solutions in transversely isotropic media for wellbore and cylinder. International Journal of Solids and Structures 1998: 35:4905-4929.
7. Ekbote S, Abousleiman Y, Cui L, Zaman MM. Analysis of inclined boreholes in poroelastic media. International Journal of Geomechanics 2004: accepted for publication in International Journal of Geomechanics.
8. Abousleiman Y, Ekbote S. Solutions for the inclined borehole in a porothermoelastic transversely isotropic medium materials. Journal of Applied Mechanics 2004; in press.
9. Barenblatt GI, Zheltov IP. Kochina IN. Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks. Prikladnaya Matematika i Mekhanika 1960; 24(5):852-864.
10. Aifantis EC. Introducing a multi-porous medium. Developments in Mechanics 1977; 8:209-211.
11. Wilson RK, Aifantis EC. On the theory of consolidation with double porosity. International Journal of Engineering Science 1982; 20(9):1009-1035.
12. Berryman JG, Wang HF. Some clastic coefficients of double-porosity models for fluid transport in jointed rocks. Journal of Geophysical Research 1995; 100(812):24611-24627.
13. Lewallen KT, Wang HF. Consolidation of a double-porosity medium. International Journal of Solids and Structures 1998; 35(34-35):4845-4867.
14. Nair R. Bai M, Abousleiman Y, Zaman MM. Finite element modeling of an inclined wellbore in a fractured porous medium saturated with oil and gas. In Proceedings of the Fourth North American Rock Mechanics Symposium. Girard J, Liebman M. Breeds C, Doe T (eds). Seattle, Washington, 31 July 3 August 2000: Balkema. Rotterdam; 189-196.
15. Masters I, Pao WKS, Lewis RW. Coupling Temperature to a double-porosity model of deformable porous media. International Journal for Numerical Methods in Engineering 2000; 49:421-438.
16. Nair R, Abousleiman Y, Zaman MM. An application of the dual-porosity porothermoelastic approach in naturally fractured porous media. In Poromechanics II, Proceedings of the Second Biot Conference on Poromechanics, Auriault J-L, Geindreau C, Royer P, Bloch J-F, Boutin C, Lewandowska J. (eds). Grenoble, 26-28 August 2002; Balkema, Rotterdam; 509-514.
17. Nair R. The finite element method applied to dual-porosity poromechanics. Ph.D. Dissertation, The University of Oklahoma, 2003.
18. Bird RB, Stewart WE, Lightfoot EN. Transport Phenomena. Wiley: New York, 1960; 310-316.
19. Cheng AH-D. On generalized plane strain poroelasticity. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts 1998; 35(2):183-193.
20. Zienkiewicz OC, Taylor RL. The Finite Element Method (4th edn), vols. I, II, McGraw-Hill: Singapore, 1989.
21. Brudy M, Kjorholt K. The initiation of drilling-induced tensile fractures and their use for the estimation of stress magnitude. In Proceedings of the 37th U.S. Rock Mechanics Symposium, vol. 1. Amadei B. Kranz RL, Scott GA, Seamille PH (eds). Vail, Colorado, 6-9 June 1999: Balkema, Rotterdam; 1189-1194.
22. Aifantis EC, Beskos DE. Heat extraction from hot dry rocks. Mechanics Research Communications 1980; 7(3): 165-170.
23. Kodashima T, Kurashige M. Thermal stresses of a fluid-saturated poroelastic hollow sphere. Journal of Thermal Stresses 1996; 19:139-151.
24. Garcia R, Natale G. Subsurface propagation of thermomechanical kinks through hydrothermal fluid-saturated porous horizons. Journal of Geophysical Research 1999; 104(B9):20059-20068.