F-K Spectra From a Haskell-Type Source in a Multiple-Layered Half-Space

by George Deodatis, Princeton Univ, Princeton, United States,
Andronikos Theoharis, Princeton Univ, Princeton, United States,
Masanobu Shinozuka, Princeton Univ, Princeton, United States,

Document Type: Proceeding Paper

Part of: Probabilistic Mechanics and Structural and Geotechnical Reliability


Analytic expressions for the complex Fourier amplitudes of seismic ground motion at the free surface of a layered half-space are established. The seismic source is described using Haskell's model. The displacement field is efficiently computed by performing a triple Fast Fourier Transform of the Fourier amplitudes from the frequency-wave number domain to the time-space domain. Using the computed displacement field, the frequency-wave number spectra and the frequency-dependent autocorrelation function can then be estimated. The computational method used provides a complete description of ground motion (i.e. it accounts for all types of waves and there are no approximations involved) at any point of the elastic half-space (i.e. ground motion is computed both in the near-field as well as in the far-field). A numerical example is provided using data from the New Madrid area.

Subject Headings: Displacement (mechanics) | Fourier analysis | Frequency analysis | Ground motion | Free surfaces | Seismic tests | Seismic effects | Frequency response | Madrid | Spain | Europe

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