Sensitivity analysis for parameter identification in quasi-static poroelasticity

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 29, Issue 2, 2005, Pages 163-185

  Lecampion, Brice ^a   Constantinescu, Andrei ^b  

^a CSIRO   (Australia)

^b LABORATOIRE DE MÉCANIQUE DES SOLIDES   (France)

Author keywords

Adjoint state method; Direct differentiation method; Inverse problems; Parameter identification; Poroelasticity; Sensitivity analysis

Indexed keywords

ELASTICITY; FINITE ELEMENT METHOD; NUMERICAL ANALYSIS; PARAMETER ESTIMATION; POROSITY; SENSITIVITY ANALYSIS;

GEOMECHANICS; HOMOGENEOUS MATERIALS; POROMECHANICS; QUASI-STATIC LINEAR POROELASTICITY;

SOIL MECHANICS;

FINITE ELEMENT METHOD; POROELASTICITY; SENSITIVITY ANALYSIS;

EID: 13444259336     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/nag.409     Document Type: Article

References (25)

1. Detournay E, Cheng AHD. Fundamentals of Poroelasticity, Comprehensive Rocks Engineering, vol. 2, Chapter 5. Pergamon: New York, 1993.
2. Wang HF. Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology. Princeton University Press: Princeton, NJ, 2000.
3. Cowin SC. Bone poroelasticity. Journal of Biomechanics 1999; 32 217-238.
4. Lecampion B, Constantinescu A, Malinsky L. Identification of poroelastic constants of tight rocks from laboratory tests. International Journal of Geomechanics 2004, submitted.
5. Detournay E, Berchenko I. Thermoporoelastic experiments at url. International Journal of Rock Mechanics and Mining Sciences 2004; 12:155-164.
6. Constantinescu A. Identification and inverse problems in solid mechanics. In A Global Computational Approach in Engineering Problems: Identification and Fatigue, number Lecture note 8 in AMAS. Institute of Fundamental Technological Research, 2004.
7. Tortorelli DA, Michaleris P. Design sensitivity analysis: overview and review. Inverse Problems in Engineering 1994; 1:71-103.
8. Mahnken R, Steinmann P. A finite element algorithm for parameter identification of material models for fluid saturated porous media. International Journal for Numerical and Analytical Methods in Geomechanics 2001; 25: 415-434.
9. Bonnet M, Bui HD, Maigre H, Planchard J. Identification of heat conduction coefficient: application to nondestructive testing. In IUTAM Symposium on Inverse Problems in Engineering Mechanics, Bui HD, Tanaka M (eds). Springer: Tokyo, 1992.
10. Dems K, Mróz Z. Variational approach to sensitivity analysis in thermoelasticity. Journal of Thermal Stresses 1987; 10 283-306.
11. Coussy O. Poromechanics. Wiley: New York, 2004.
12. Cheng AHD, Ligget JA. Boundary integral equation method for linear poroelasticity with applications to soil consolidation. International Journal for Numerical Methods in Engineering 1984; 20:255-278.
13. Cheng AHD, Predeleanu M. Transient boundary element formulation in poroelasticity. Applied Mathematical Modelling 1987; 11 285-290.
14. Curran JH, Carvalho JL. A displacement discontinuity model for fluid-saturated porous media. In Proceedings of the 6th Congress of International Society of Rock Mechanics, vol. 1. Montreal, 1987; 73-78.
15. Biot MA. General theory of three-dimensional consolidation. Journal of Applied Physics 1941; 12:155-164.
16. Biot MA. Theory of elasticity and consolidation for a porous anisotropic solid. Journal of Applied Physics 1955; 26:182-185.
17. CEA. Cast3m, a finite element solver. Available online for research and education, 2003. http://www-cast3m.cea.fr.
18. Zienkiewicz OC. The Finite Element Method. Mc-Graw Hill: New York, 1977.
19. Arora JS, Cardoso JB. Variational principle for shape sensitivity analysis. AIAA Journal 1992; 30:538-547.
20. Vidal CA, Lee HS, Haber RB. The consistent tangent operator for design sensitivity analysis of history-dependent response. Computing Systems in Engineering 1991; 2(5/6):509-523.
21. Predeleanu M. Reciprocal theorem in the consolidation theory of porous media. Anal. Univ. Bucuresti, Seria Stiitele Naturii, Matematica, Mecanica 1968; 17:75-79.
22. Lions JL. Contrôle optimal des équations aux dérivées partielles. Dunod: Paris, 1968 (in French).
23. Gill PE, Murray W, Wright MH. Practical Optimization. Academic Press: New York, 1982.
24. Nocedal J, Wright SJ. Numerical Optimization. Springer: Berlin, 2002.
25. Lecampion B. Sur l'identification des paramètres des lois de comportement des roches argileuses. Ph.D. Thesis, Ecole Polytechnique, 2002.