Theory of Propagation of Explosive Sound in Shallow Water

Pekeris, C. L.

doi:10.1130/mem27-2-p1

Cited by 348 publications

(190 citation statements)

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“…In the case of the specific structure illustrated in their study, a 1 = 1.52 km/s, a 1 = H3b 2 , b 2 = 2a 1 , q 2 = 2.5q 1 , and H = 5.0 km, where a, b, q, and H are P-wave velocity, S-wave velocity, density, and the thickness of the water layer, respectively; the subscripts 1 and 2 denote water and the solid layer, respectively. The group velocity dispersion curve of the fundamental Rayleigh wave in the structure of PRESS et al (1950) indicates a local minimum at a propagation speed of 1.2 km/s and dominant frequency of 0.1 Hz, indicating that the wave with this speed and frequency (i.e., the Airy phase) is amplified significantly during propagation. In our 3D simulation case, we estimate a propagation speed of approximately 0.7 km/s in the Airy phase, based on analysis of the apparent velocity of the isolated later phase at DONET stations KMB05-KMB08 and KMD13-KMD16, where the thicknesses of the accretionary prism and the seawater layer are almost constant.…”

Section: Submarine Landslide Simulationmentioning

confidence: 99%

“…The phase exhibits large amplitudes at stations at local maxima or minima of the dispersion curve owing to the almost simultaneous arrival of waves from a range of frequencies. PEKERIS (1948) referred to this prominent part of the waveform as the Airy phase. Moreover, PRESS et al (1950) summarized the phase and group velocity curves for a structure consisting of a liquid layer resting upon a solid layer of infinite thickness.…”

Section: Submarine Landslide Simulationmentioning

confidence: 99%

“…PEKERIS (1948) referred to this prominent part of the waveform as the Airy phase. Moreover, PRESS et al (1950) summarized the phase and group velocity curves for a structure consisting of a liquid layer resting upon a solid layer of infinite thickness. In the case of the specific structure illustrated in their study, a 1 = 1.52 km/s, a 1 = H3b 2 , b 2 = 2a 1 , q 2 = 2.5q 1 , and H = 5.0 km, where a, b, q, and H are P-wave velocity, S-wave velocity, density, and the thickness of the water layer, respectively; the subscripts 1 and 2 denote water and the solid layer, respectively.…”

Section: Submarine Landslide Simulationmentioning

confidence: 99%

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Seismic Wavefields in the Deep Seafloor Area from a Submarine Landslide Source

Nakamura

Takenaka

Okamoto

et al. 2013

Pure Appl. Geophys.

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Abstract-We use the finite difference method to simulate seismic wavefields at broadband land and seafloor stations for a given terrestrial landslide source, where the seafloor stations are located at water depths of 1,900-4,300 m. Our simulation results for the landslide source explain observations well at the seafloor stations for a frequency range of 0.05-0.1 Hz. Assuming the epicenter to be located in the vicinity of a large submarine slump, we also model wavefields at the stations for a submarine landslide source. We detect propagation of the Airy phase with an apparent velocity of 0.7 km/s in association with the seawater layer and an accretionary prism for the vertical component of waveforms at the seafloor stations. This later phase is not detected when the structural model does not consider seawater. For the model incorporating the seawater, the amplitude of the vertical component at seafloor stations can be up to four times that for the model that excludes seawater; we attribute this to the effects of the seawater layer on the wavefields. We also find that the amplification of the waveform depends not only on the presence of the seawater layer but also on the thickness of the accretionary prism, indicating low amplitudes at the land stations and at seafloor stations located near the trough but high amplitudes at other stations, particularly those located above the thick prism off the trough. Ignoring these characteristic structures in the oceanic area and simply calculating the wavefields using the same structural model used for land areas would result in erroneous estimates of the size of the submarine landslide and the mechanisms underlying its generation. Our results highlight the importance of adopting a structural model that incorporates the 3D accretionary prism and seawater layer into the simulation in order to precisely evaluate seismic wavefields in seafloor areas.

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Section: Submarine Landslide Simulationmentioning

confidence: 99%

Section: Submarine Landslide Simulationmentioning

confidence: 99%

Section: Submarine Landslide Simulationmentioning

confidence: 99%

See 1 more Smart Citation

Seismic Wavefields in the Deep Seafloor Area from a Submarine Landslide Source

Nakamura

Takenaka

Okamoto

et al. 2013

Pure Appl. Geophys.

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“…The SAFARI approach to solution of seismo-acoustic propagation in a horizontally-layered environment is at its heart an expansion of the techniques of solving -31 -the depth-separated wave equation originally applied to acoustic propagation by Pekeris [15] and later extended to seismic propagation by Ewing, Jardetzk:y and Press [10].…”

Section: Full Wavefield Global Matrix Solutionmentioning

confidence: 99%

Observation and inversion of seismo-acoustic waves in a complex Artic ice environment

Miller¹

1990

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“…It was hoped that a complete wave-theoretical solution for the seismic wave produced by the application of a well-defined stress-pulse at the focus would reveal additional information on the nature of the medium. The first theoretical seismogram was derived in 1948 [15] for the case of an underwater explosion, and is shown in the upper part of Fig. 4.…”

Section: Introductionmentioning

confidence: 99%

Adventures in applied mathematics

Pekeris¹

1972

Quart. Appl. Math.

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Abstract.A review is given of the work carried out at the Weizmann Institute during the past 25 years in the fields of terrestrial spectroscopy, the dynamo theory of the earth's magnetic field, the tides in the world oceans, theoretical seismograma, hydrodynamic stability, atomic spectroscopy, and the Boltzmann integral equation. Some open problems in the solution of the Schrodinger wave equation are formulated.

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Theory of Propagation of Explosive Sound in Shallow Water

Cited by 348 publications

References 1 publication

Seismic Wavefields in the Deep Seafloor Area from a Submarine Landslide Source

Seismic Wavefields in the Deep Seafloor Area from a Submarine Landslide Source

Observation and inversion of seismo-acoustic waves in a complex Artic ice environment

Adventures in applied mathematics

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