Method Coupling Harmonic Decomposition and Polynomial Chaos for Seismic Wave Propagation in Uncertain Medium.

Abstract : A surrogate is proposed to study seismic wave propagation in uncertain medium. The surrogate is based on a double decomposition of the signal: a damped harmonic decomposition coupled with a polynomial chaos (PC) representation of the four coefficients of each harmonic term (amplitude, decay constant, pulsation, and phase). An efficient PC representation of the coefficients are obtained through non-intrusive spectral projections. It requires the resolution of a nonlinear least squares problem for each integration point of the sparse grid. The implementation of the surrogate is illustrated on applications to layered soils with uncertainties in the geological data (geometry, wave velocities, damping factor). Computational tests show that the stochastic signal can be efficiently represented with a low-order PC representation leading to the use of a low-level sparse grid integration. For each test case, a global sensitivity analysis is performed in time and frequency domains to investigate the relative impact of the random parameters.
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Communication dans un congrès
SIAM conference on Computational Science and Engineering, Feb 2017, Atlanta, United States
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https://hal-brgm.archives-ouvertes.fr/hal-01444597
Contributeur : Pierre Sochala <>
Soumis le : mardi 24 janvier 2017 - 11:14:52
Dernière modification le : samedi 4 mars 2017 - 01:03:17

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  • HAL Id : hal-01444597, version 1

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Pierre Sochala, Florent De Martin. Method Coupling Harmonic Decomposition and Polynomial Chaos for Seismic Wave Propagation in Uncertain Medium.. SIAM conference on Computational Science and Engineering, Feb 2017, Atlanta, United States. 〈hal-01444597〉

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