Sensitivity analysis for parameter identification in quasi-static poroelasticity

Brice Lecampion; Andrei Constantinescu

doi:10.1002/nag.409

Sensitivity analysis for parameter identification in quasi-static poroelasticity

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Abstract

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.

Original language	English
Pages (from-to)	163-185
Number of pages	23
Journal	International Journal for Numerical and Analytical Methods in Geomechanics
Volume	29
Issue number	2
DOIs	https://doi.org/10.1002/nag.409
Publication status	Published - 1 Jan 2005
Externally published	Yes

Keywords

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

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10.1002/nag.409

Cite this

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AU - Constantinescu, Andrei

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AB - 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.

KW - Adjoint state method

KW - Direct differentiation method

KW - Inverse problems

KW - Parameter identification

KW - Poroelasticity

KW - Sensitivity analysis

U2 - 10.1002/nag.409

DO - 10.1002/nag.409

M3 - Article

AN - SCOPUS:13444259336

SN - 0363-9061

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JO - International Journal for Numerical and Analytical Methods in Geomechanics

JF - International Journal for Numerical and Analytical Methods in Geomechanics

IS - 2

ER -

Sensitivity analysis for parameter identification in quasi-static poroelasticity

Abstract

Keywords

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