Excitation of the Normal Modes of the Earth by Earthquake Sources

Gilbert, Freeman

doi:10.1111/j.1365-246x.1971.tb03593.x

Cited by 445 publications

(275 citation statements)

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“…An advantage of the seismic moment tensor formalism obtained for free oscillations by Gilbert (1970) is that the tensor elements are linearly related to observable quantities on the seismogram. The recovery of the seismic moment tensor, as demonstrated by Dziewonski and Gilbert (1974), is very simple and fast via linear inversion methods.…”

Section: Chapter II Methods Of Analysismentioning

confidence: 99%

“…A reference point equalization method is developed, which isolates the source effects from amplitude and phase spectra of surface waves. We discuss the advantages of the joint use of amplitude and phase spectra and the extension of the linear moment tensor inversion (Gilbert, 1970) to surface wave complex source spectra. Finally, we address the problem of estimating source and propagation parameters from seismograms contaminated by noises.…”

Section: The Description Ofmentioning

confidence: 99%

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Source and Propagation Effects of Rayleigh Waves from Central Asian Earthquakes

Patton¹

1979

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Section: Chapter II Methods Of Analysismentioning

confidence: 99%

Section: The Description Ofmentioning

confidence: 99%

Source and Propagation Effects of Rayleigh Waves from Central Asian Earthquakes

Patton¹

1979

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“…The waveforms or spectra of normal modes generated by a buried seismic source are linear functionals of six independent elements of the seismic moment tensor (GILBERT, 1971). According to GD, a component of ground motion excited by a point source may be expressed as (1) where Uk is the k-th record in a set of seismograms, Akj the excitation kernels, X the …”

Section: Linear Moment Tensor Inversionmentioning

confidence: 99%

Moment tensor inversion for near earthquakes using long-period digital seismograms.

1989

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The possibility of rapid determination of source parameters (seismic moment and fault parameters) for near earthquakes is examined by means of the moment tensor inversion method. Numerical experiments of linear moment tensor inversion are made for a hypothetical source-station geometry appropriate for the Japanese region and suggest that it may be possible to determine the source parameters for the near earthquakes within about 10 min after the earthquake occurrence, provided that high-quality long-period seismic waveform data can be used. Source parameters of eight earthquakes (MW > 6.0) which occurred near the Japanese region during the period from November 1986 to April 1987 are determined by applying the inversion method to three-component long-period digital data recorded at a single station in Japan. The obtained source parameters are in good agreement with the solutions derived from global networks. The centroid-moment tensor (CMT) inversion method, solution of which is a result of simultaneous inversion of waveform data for the hypocentral parameters (epicentral coordinates, depth, origin time, and moment tensor) of the best point source, is applied to both synthesized and observed data. The inversion of synthesized data suggests that the CMT inversion to determine the hypocentral and source parameters simultaneously for near earthquakes may be possible in the Japanese region. We applied this method to the eight events, but we could obtain the CMT solution for only one event. The short propagation time and inadequate station coverage in the case of the single-station observation of the near earthquakes might have caused the nonuniqueness and instability in the determination of the CMT solutions. The numerical experiments suggest that this problem may be significantly remedied by the improvement of the station coverage.

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“…(22) is sufficient to determine the excitation up to the first order. The excitation formula of Gilbert (1971) can be used, because eigenfunctions are orthonormalized as shown in Eq. (20).…”

Section: Mochizukimentioning

confidence: 99%

On the subspace projection method to calculate synthetic long-period seismograms.

Mochizuki

1990

J,Phys,Earth

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Excitation of the Normal Modes of the Earth by Earthquake Sources

Cited by 445 publications

References 0 publications

Source and Propagation Effects of Rayleigh Waves from Central Asian Earthquakes

Source and Propagation Effects of Rayleigh Waves from Central Asian Earthquakes

Moment tensor inversion for near earthquakes using long-period digital seismograms.

On the subspace projection method to calculate synthetic long-period seismograms.

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