Seismic Input Motion Identification in a Heterogeneous Halfspace

AbstractThis paper presents a new time domain method for reconstructing unknown incident seismic input waves entering into a truncated heterogeneous soil domain from a soil surface response. The problem is cast into a partial differential equation (PDE)–constrained optimization problem where a misfi...

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Bibliographic Details
Published in:Journal of engineering mechanics 2018-08, Vol.144 (8)
Main Authors: Jeong, C, Esmaeilzadeh Seylabi, E
Format: Article
Language:English
Subjects:
Finite element method
Noise measurement
Partial differential equations
Sensitivity analysis
Signal processing
Technical Papers
Time domain analysis
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Summary:AbstractThis paper presents a new time domain method for reconstructing unknown incident seismic input waves entering into a truncated heterogeneous soil domain from a soil surface response. The problem is cast into a partial differential equation (PDE)–constrained optimization problem where a misfit between a measured response at a sensor on the ground surface induced by a target signal and a computed wave solution induced by an estimate signal is minimized. Using this method allows for fast and accurate evaluation of the sensitivity of a misfit functional (i.e., gradient or Fréchet derivative) with respect to control parameters. Both forward and adjoint problems are solved by using the finite-element method (FEM). The numerical results prove that the presented method can identify a targeted incident seismic input signal into a truncated soil domain without providing the numerical optimizer with any hint about the target. In presence of noise in measurement, this inversion process recovers a target signal more accurately than the deconvolution does.
ISSN:0733-9399
1943-7889
DOI:10.1061/(ASCE)EM.1943-7889.0001495