Total energy and energy spectral density of elastic wave radiation from propagating faults

abstract Previously derived expressions for the total energy and energy spectral density of elastic waves radiated by a propagating fault are rewritten in terms of a spacio-temporal autocorrelation of the acceleration of relative displacement over the fault plane. This is interpreted in a statistical sense as the average autocorrelation over an ensemble of earthquakes. An explicit form of autocorrelation function is assumed, depending upon two parameters, a correlation length, and a correlation time, and the total energy and energy spectral density are derived in terms of these parameters. By using scaling laws due to Båth and Duda for earthquake volume and radiation efficiency as functions of magnitude, the statistical parameters may also be related to magnitude.

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Elastic wave radiation from a high frequency finite-length transducer

Journal of Sound and Vibration ◽

10.1016/j.jsv.2006.04.039 ◽

2006 ◽

Vol 298 (1-2) ◽

pp. 108-131 ◽

Cited By ~ 4

Author(s):

G.W. Owen ◽

I.D. Abrahams

Keyword(s):

Elastic Wave ◽

Finite Length ◽

High Frequency ◽

Wave Radiation

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White noise wave generation method controlled by a rotary valve

Journal of Vibration and Control ◽

10.1177/1077546320974808 ◽

2020 ◽

pp. 107754632097480

Author(s):

Yi Liu ◽

De-xin Chen ◽

Heng Jin ◽

Tao Wang

Keyword(s):

Theoretical Model ◽

Spectral Density ◽

White Noise ◽

Transmission Function ◽

Wave Generation ◽

Control Parameters ◽

Rotary Valve ◽

Variable Amplitude ◽

Energy Spectral Density ◽

Marine Engineering

To meet the demands of white noise waves with different and higher energy spectral density, a new white noise wave generation method was proposed and a corresponding wave-making system controlled by a rotary valve was developed. The theoretical model of the new method was established, and the hydraulic transmission function of the wave-making system was solved. After the control parameters of the white noise waves in the wave-making system were obtained, the experiment tests were carried out to generate the white noise waves, and its energy spectral density was analyzed by Fourier analysis. The results show that white noise waves with different amplitudes have different energy spectral densities. And the energy spectral density of the generated waves is approximately a constant. Therefore, the present white noise wave generation method is feasible in marine engineering tests, and the wave with variable amplitude and higher energy spectral density can be generated.

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Experimental Observations of Elastic Wave Radiation Characteristics from Tensile Cracks and Pre-existing Shear Faults

Rock Friction and Earthquake Prediction ◽

10.1007/978-3-0348-7182-2_20 ◽

1978 ◽

pp. 888-899

Author(s):

S. D. Vinogradov

Keyword(s):

Elastic Wave ◽

Wave Radiation ◽

Radiation Characteristics ◽

Tensile Cracks

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A new framework using deep auto-encoder and energy spectral density for medical waveform data classification and processing

Journal of Applied Biomedicine ◽

10.1016/j.bbe.2018.11.004 ◽

2019 ◽

Vol 39 (1) ◽

pp. 148-159 ◽

Cited By ~ 12

Author(s):

Ahmad M. Karim ◽

Mehmet S. Güzel ◽

Mehmet R. Tolun ◽

Hilal Kaya ◽

Fatih V. Çelebi

Keyword(s):

Spectral Density ◽

Data Classification ◽

Waveform Data ◽

Energy Spectral Density ◽

Medical Waveform ◽

New Framework

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Effect of an elastically restrained boundary on SV-wave radiation patterns

Bulletin of the Seismological Society of America ◽

10.1785/bssa0580020497 ◽

1968 ◽

Vol 58 (2) ◽

pp. 497-520

Author(s):

Y. T. Huang

Keyword(s):

Boundary Condition ◽

Wave Propagation ◽

Free Boundary ◽

Boundary Conditions ◽

Elastic Wave ◽

Solid Earth ◽

Elastic Constants ◽

Wave Radiation ◽

Free Boundary Conditions ◽

Elastically Restrained

Abstract In the solution of elastic wave propagation equations applied to solid earth, it is customarily assumed that free boundary conditions are satisfied at a surface which is in contact with the atmosphere. Situations which depart from this boundary condition have now been studied for arbitrary combinations of the Lamé elastic constants. The solutions are given for a homogeneous, isotropic half space.

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