A transient fictitious stress boundary element method for porothermoelastic media

Engineering Analysis with Boundary Elements

Volumn 28, Issue 11, 2004, Pages 1363-1373

  Ghassemi, A ^a   Zhang, Q ^a  

^a UNIVERSITY OF NORTH DAKOTA   (United States)

Author keywords

Fictitious stress; Hydraulic fracture; Point heat source; Pore pressure; Poroelasticity; Porothermoelasticity; Wellbore failure

Indexed keywords

ELASTICITY; FAILURE ANALYSIS; FRACTURE; HYDRAULIC FRACTURING; HYDRAULICS; PORE PRESSURE; STRESS ANALYSIS; TIME DOMAIN ANALYSIS;

FICTITIOUS STRESS; POINT HEAT SOURCES; POROELASTICITY; POROTHERMOELASTICITY; WELLBORE FAILURE;

BOUNDARY ELEMENT METHOD;

EID: 4644262755     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2004.05.003     Document Type: Article

References (24)

1. Delaney PT. Rapid intrusion of magma into wet rock: groundwater flow due to pore pressure increases. J Geophys Res 1982;87(B9): 7739-56.
2. Wang Y, Papamichos E. Conductive heat flow and thermally induced fluid flow around a well bore in a poroelastic medium. Water Resour Res 1994;30(12):3375-84.
3. Li X, Cui L, Roegiers J-C. Thermoporoelastic modeling of wellbore stability in non-hydrostatic stress field. Int J Rock Mech Min Sci 1998;35(4/5). Paper No. 063.
4. Ghassemi A, Diek A. Poro-thermoelasticity for swelling shales. J Petrol Sci Eng 2002;34:123-35.
5. Crouch SL, Starfield AM. Boundary element methods in solid mechanics. London: Allen Unwin; 1983.
6. Curran JH, Carvalho JL. A displacement discontinuity model for fluid-saturated porous media. Proc Sixth Cong ISRM 1987;1:73-8.
7. Vandamme L, Curran JH. A three-dimensional hydraulic fracturing simulator. Int J Numer Meth Eng 1989;28:909-27.
8. Ghassemi A, Roegiers J-C. A three-dimensional poroelastic hydraulic fracture simulator using the displacement discontinuity method. Proc Second North Am Rock Mech Symp 1996;1:982-7.
9. Cheng AH-D, Ghassemi A, Detournay E. A two-dimensional solution for heat extraction from a fracture in hot dry rock. Int J Numer Anal Meth Geomech 2001;25:1327-38.
10. Ghassemi A, Cheng AH-D, Diek A, Roegiers J-C. A complete plane-strain fictitious stress boundary element method for poroelastic media. J Eng Anal Bound Elem 2001;25(1):41-8.
11. Carvalho JL. Poroelastic effects and influence of material interfaces on hydraulic fracturing. PhD dissertation, Department of Civil Engineering, University of Toronto; 1990.
12. Cheng AH-D, Predeleanu M. Transient boundary element formulation for poroelasticity. Appl Math Model 1987;11:285-90.
13. Cheng AH-D, Detournay E. A direct boundary element method for plane strain poroelasticity. Int J Numer Anal Meth Geomech 1988;12:551-72.
14. Smith DW, Booker JR. Green's functions for a fully coupled thermoporoelastic material. Int J Numer Anal Meth Geomech 1993;17:139-63.
15. Biot MA. General theory of three-dimensional consolidation. J Appl Phys 1941;26:182-5.
16. Palciauskas VV, Domenico PA. Characterization of drained and undrained response of thermally loaded repository rocks. Water Resour Res 1982;18:281-90.
17. Nowacki W. Thermoelasticity. Oxford: Pergamon Press; 1973.
18. McTigue DF. Thermoelastic response of fluid-saturated porous rock. J Geophys Res 1986;91(B9):9533-42.
19. McTigue DF. Flow to a heated borehole in porous, thermoelastic rock: analysis. Water Resour Res 1990;26(8):1763-74.
20. Berchenko I. Thermal loading of saturated rock mass: field experiment and modeling using thermoporoelastic singular solutions. PhD Dissertation, University of Minnesota; 1998.
21. Brebbia CA, Dominguez J. Boundary elements: an introductory course. Southampton: Computational Mechanics Publications; 1989.
22. Cheng AH-D, Detournay E. On singular integral equations and fundamental solutions of poroelasticity. Int J Solids Struct 1998;35(34/35):4521-55.
23. Wang HF. Theory of linear poroelasticity with applications to geomechanics and hydrogeology. Princeton: Princeton University Press; 2000.
24. Cheng AH-D. On generalized plane strain poroelasticity. Int J Rock Mech Min Sci Geomech Abstr 1998;34:953-62.