Theory of Propagation of Explosive Sound in Shallow Water

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

“…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.…”

“…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.…”

“…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.…”

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

“…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].…”

Adventures in applied mathematics

“…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.…”