Sensitivity analysis for parameter identification in quasi-static poroelasticity

This paper is devoted to the formulation of the direct differentiation method and adjoint state method in quasi‐static linear poroelasticity. We derive the strong and weak formulation of both methods and discuss their solutions using the finite element method. The techniques are illustrated and test...

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Bibliographic Details
Published in:International journal for numerical and analytical methods in geomechanics Vol. 29; no. 2; pp. 163 - 185
Main Authors: Lecampion, Brice, Constantinescu, Andrei
Format: Journal Article
Language:English
Published: Chichester, UK John Wiley & Sons, Ltd 01.02.2005
Wiley
Subjects:
adjoint state method
Applied sciences
Buildings. Public works
Computation methods. Tables. Charts
direct differentiation method
Engineering Sciences
Exact sciences and technology
Geophysics
Geotechnics
inverse problems
Mechanics
parameter identification
Physics
poroelasticity
sensitivity analysis
Soil mechanics. Rocks mechanics
Solid mechanics
Structural analysis. Stresses
Sensitivity analysis
Rock mechanics
Theoretical study
Soil mechanics
Inverse problem
Formulation
Poroelasticity
direct differentiation method
Example
inverse problems
Parameter
Numerical simulation
adjoint state method
Differentiation
parameter identification
poroelasticity
sensitivity analysis
ISSN:0363-9061, 1096-9853
Online Access:Get full text
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Summary:This paper is devoted to the formulation of the direct differentiation method and adjoint state method in quasi‐static linear poroelasticity. We derive the strong and weak formulation of both methods and discuss their solutions using the finite element method. The techniques are illustrated and tested on two numerical examples for the case of isotropic and homogeneous material. The presented formulations can be extended to more complex behaviour in poromechanics. Copyright © 2004 John Wiley & Sons, Ltd.
Bibliography:ark:/67375/WNG-T1LDG6X3-7
istex:7171EAA8DE2096B4E9693EDF0584CEF4D19B15E0
French Agency for Radioactive Waste Management (ANDRA)
ArticleID:NAG409
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0363-9061
1096-9853
DOI:10.1002/nag.409