Article (Scientific journals)
Statistical inverse analysis based on genetic algorithm and principal component analysis: Method and developments using synthetic data
Levasseur, Séverine; Malécot, Yann; Boulon, Marc et al.
2009In International Journal for Numerical and Analytical Methods in Geomechanics, 33 (12), p. 1485 - 1511
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Keywords :
soil parameters identification; inverse analysis; optimization; genetic algorithm; principal component analysis; finite element method; geotechnics; synthetic data
Abstract :
[en] This study concerns the identification of parameters of soil constitutive models from geotechnical measurements by inverse analysis. To deal with the non-uniqueness of the solution, the inverse analysis is based on a genetic algorithm (GA) optimization process. For a given uncertainty on the measurements, the GA identifies a set of solutions. A statistical method based on a principal component analysis (PCA) is, then, proposed to evaluate the representativeness of this set. It is shown that this representativeness is controlled by the GA population size for which an optimal value can be defined. The PCA also gives a first-order approximation of the solution set of the inverse problem as an ellipsoid. These developments are first made on a synthetic excavation problem and on a pressuremeter test. Some experimental applications are, then, studied in a companion paper, to show the reliability of the method.
Disciplines :
Civil engineering
Author, co-author :
Levasseur, Séverine ;  Université de Liège - ULiège > Département Argenco : Secteur GEO3 > Géomécanique et géologie de l'ingénieur
Malécot, Yann;  Université Joseph Fourier - Grenoble 1 - UJF > Laboratoire 3S-R
Boulon, Marc;  Université Joseph Fourier - Grenoble 1 - UJF > Laboratoire 3S-R
Flavigny, Etienne;  Université Joseph Fourier - Grenoble 1 - UJF > Laboratoire 3S-R
Language :
English
Title :
Statistical inverse analysis based on genetic algorithm and principal component analysis: Method and developments using synthetic data
Publication date :
2009
Journal title :
International Journal for Numerical and Analytical Methods in Geomechanics
ISSN :
0363-9061
eISSN :
1096-9853
Publisher :
John Wiley & Sons, New York, United States - New York
Volume :
33
Issue :
12
Pages :
1485 - 1511
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 12 August 2009

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