Seismic Input Motion Identification in a Heterogeneous Halfspace
Publication: Journal of Engineering Mechanics
Volume 144, Issue 8
Abstract
This 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.
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Acknowledgments
This work was supported by the grant-in-aid program from the Office of the Graduate Studies at Catholic University of America. This support is gratefully acknowledged. We are also very grateful to reviewers for their constructive comments.
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Published In
Journal of Engineering Mechanics
Volume 144 • Issue 8 • August 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Dec 4, 2016
Accepted: Feb 21, 2018
Published online: Jun 11, 2018
Published in print: Aug 1, 2018
Discussion open until: Nov 11, 2018
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