[en] This paper is dedicated to the identification of constitutive parameters of the Mohr–Coulomb constitutive model from in situ geotechnical measurements. A pressuremeter curve and the horizontal displacements of a sheet pile wall retaining an excavation are successively used as measurements. Two kinds of optimization algorithms are used to minimize the error function, the first one based on a gradient method and the second one based on a genetic algorithm. The efficiency of each algorithm related to the error function topology is discussed. Finally, it is shown that the use of a genetic algorithm to identify the soil parameters seems particularly suitable when the topology of the error function is complex.
Disciplines :
Civil engineering
Author, co-author :
Levasseur, Séverine ; Université de Liège - ULiège > Département Argenco : Secteur GEO3 > Géomécanique et géologie de l'ingénieur
Maier G, Gioda G. Optimization methods for parametric identification of geotechnical systems. Numerical Method in Geomechanics, Proceedings of the NATO Advanced Study Institute, Braga, Portugal, 1981; 273-304.
Gioda G, Maier G. Direct search solution of an inverse problem in elastoplasticity: identification of cohesion, friction angle and in situ stress by pressure tunnel tests. International Journal for Numerical Methods in Engineering 1980; 15:1823-1848.
Tarantola A. Inverse Problem Theory. Elsevier: Amsterdam, 1987.
Gioda G, Sakurai S. Back analysis procedure for the interpretation of field measurements in geomechanics. International Journal for Numerical and Analytical Methods in Geomechanics 1987; 11:555-583.
PLAXIS. Finite Element Code for Soil and Rock Analysis. http://plaxis.nl
Tikhonov A, Arsenine V. Méthodes de Résolution des Problèmes mal Posés, Translation of Russian by V. Kotliar, Mir ed., Moscow, 1976.
Calvello M, Finno RJ. Selecting parameters to optimize in model calibration by inverse analysis. Computers and Geotechnics 2004; 31:411-425.
Calvello M, Finno RJ. Calibration of soil models by inverse analysis. In Eighth International Symposium on Numerical Models in Geomechanics - NUMOG VIII, Roma, Italy, Pande GN, Pietruszczak S (eds). Balkema: Rotterdam, 2002; 107-113.
Lecampion B, Constantinescu A, Nguyen Minh D. Parameter identification for lined tunnels in viscoplastic medium. International Journal for Numerical and Analytical Methods in Geomechanics 2002; 26:1191-1211.
Ledesma A, Gens A, Alonso EE. Estimation of parameters in geotechnical backanalysis. I - Maximum likelihood approach. Computers and Geotechnics 1996; 18(1):1-27.
Gens A, Ledesma A, Alonso EE. Estimation of parameters in geotechnical backanalysis. II - Application to a tunnel excavation problem. Computers and Geotechnics 1996; 18(1):29-46.
Gens A, Ledesma A, Alonso EE. Back analysis using prior information - application to the staged excavation of a cavern in rock. In Numerical Methods in Geomechanics, Innsbruck, Swoboda (ed.). Balkema: Rotterdam, 1989; 2009-2016.
Hashash YMA, Jung S, Ghaboussi J. Numerical implementation of a neural network based material model in finite element analysis. International Journal for Numerical Methods in Engineering 2004; 59:989-1005.
Hashash YMA, Marulanda C, Ghaboussi J, Jung S. Systematic update of deep excavation model using field performance data. Computers and Geotechnics 2003; 30:477-488.
Haupt RL, Haupt SE. Practical Genetic Algorithms. Wiley: New York, 1998.
Goldberg DE. Algorithmes Génétiques: Exploration, Optimisation et Apprentissage Automatique. Adisson-Wesley: Reading, MA, 1991.
Holland JH. Adaptation in Natural and Artificial Systems. University of Michigan Press: Ann Arbor, MI, 1975.
Kang YL, Lin XH, Qin QH. Inverse/genetic method and its application in identification of mechanical parameters of interface in composite. Composite Structures 2004; 66:449-458.
Wrobel L, Miltiadou P. Genetic algorithms for inverse cathodic protection problems. Engineering Analysis with Boundary Elements 2004; 28:267-277.
Giacobbo F, Marseguerra M, Zio E. Solving the inverse problem of parameter estimation by genetic algorithms: the case of a groundwater contaminant transport model. Annals of Nuclear Energy 2002; 29:967-981.
Marseguerra M, Zio E, Podofillini L. Model parameters estimation and sensitivity by genetic algorithms. Annals of Nuclear Energy 2003; 30:1437-1456.
Gallagher K, Sambridge M. Genetic algorithms: a powerful tool for large-scale nonlinear optimization problems. Computers and Geosciences 1994; 20(7/8):1229-1236.
Malécot Y, Levasseur S, Boulon M, Flavigny E. Inverse analysis on in situ geotechnical measurement using a genetic algorithm. In Ninth International Symposium on Numerical Models in Geomechanics-NUMOG IX, Ottawa, Canada, Pande GN, Pietruszczak S (eds). 2004; 223-228.
Malécot Y, Boulon M, Flavigny E. Identification of soil parameters for finite element simulation of geotechnical structures: application to the pressuremeter test and to an excavation problem. In Second International Conference in Structural Engineering and Construction: Proceedings of the ISEC03 Conference, Roma, Italy, Bontempi F (ed.), vol. 3, 2003; 2393-2399.
Cambou B, Bahar R. Utilisation de l'essai pressiométrique pour l'identification des paramètres intrinsèques du comportement d'un sol. Revue Française de Géotechnique 1993; 63:39-50.
Zentar R, Hicher PY, Moulin G. Identification of soil parameters by inverse analysis. Computers and Geotechnics 2001; 28:129-144.
Rangeard D, Hicher PY, Zentar R. Determining soil permeability from pressuremeter tests. International Journal for Numerical and Analytical Methods in Geomechanics 2003; 27:1-24.
Hashash YMA, Marulanda C, Ghaboussi J, Jung S. Systematic update of deep excavation model using field performance data. In Eighth International Symposium on Numerical Models in Geomechanics - NUMOG VIII, Roma, Italy, Pande GN, Pietruszczak S (eds). Balkema: Rotterdam, 2002; 107-113.
Von Wolffersdorff PA. Results of field test and evaluation of the predictions and subsequent calculations. Workshop Sheet Pile Test Karlsruhe, Technical University of Delft University, The Netherlands, 1994.
Mestat P, Arafati N. Modélisation par éléments finis du comportement du rideau de palplanches expérimental de Hochstetten. Bulletin des Laboratoire des Ponts et Chaussées 1998; 216:19-39.
Mokrani L. Simulation physique du comportement des pieux à grande profondeur en chambre de calibration. Ph.D. Thesis, Institut National Polytechnique de Grenoble, Grenoble Cedex, 1991.
Gioda G. Some remarks on back analysis and characterization problems in geomechanics. Fifth International Conference on Numerical Methods in Geomechanics, Nagoya, Japan, 1985; 47-61.
On C-Y, Tang Y-G. Soil parameter determination for deep excavation analysis by optimization. Journal of the Chinese Institute of Engineers 1994; 17(5):671-688.
Renders JM. Algorithmes Génétiques et Réseaux de Neurones. Hermés: Paris, 1995.
Simpson AR, Priest SD. The application of genetic algorithms to optimization problems in geotechnics. Computers and Geotechnics 1993; 15:1-19.
Gob ATC. Genetic algorithm search for critical slip surface in multiple-wedge stability analysis. Canadian Geotechnical Journal 1999; 536:382-391.
Pal S, Wathugala GW, Kundu S. Calibration of a constitutive model using genetic algorithms. Computers and Geotechnics 1996; 19(4):325-348.
Samarajiva P, Macari EJ, Wathugala W. Genetic algorithms for the calibration of constitutive models for soils. International Journal of Geomechanics 2005; 5(3):206-217.
Tsai FT-C, Sun N-Z, Yeh WW-G. Global-local optimization for parameter structure identification in three-dimensional groundwater modeling. Water Resources Research 2003; 39(2):1043-1058.