Study on Airy Phase of Scholte Wave in Shallow Water

doi:10.12382/bgxb.2024.0605

Abstract

Abstract:

The formation mechanism of Airy phase of Scholte wave is studied to clarify its characteristics and variation laws.The wave field expression of Scholte wave excited by pulse sound source are derived based on the shallow water semi-infinite elastic seabed sound field model.The high-order staggered grid finite difference algorithm is used to simulate the Scholte wave excited by the pulse sound source.The relationship between the amplitude of Airy wave and the propagation distance was obtained through simulation.The results show that the frequency dispersion of Scholte wave can cause a minimum group velocity,leading to the appearance of Airy wave during the propagation of the pulse signal,with an amplitude being proportional tor^-5^/⁶.A Scholte wave experiment excited by an airgun sound source on the lake is made,and the moving window analysis method is used to analyze the experiment data.The analyzed results show that there is obvious frequency dispersion phenomenon in the frequency band below 12Hz.When the frequency is higher than 12Hz,the group velocity remaines basically unchanged with the increase in frequency.At the same time,the group velocity showes a first decreasing and then increasing trend with the increase in frequency,reproducing and confirming the dispersion relationship of Scholte wave group velocity in theoretical research.

Key words: Scholte wave, Airy phase, dispersion characteristics, moving window, group velocity

CLC Number:

LUO Xiayun, CHEN Xinning, LIU Bao. Study on Airy Phase of Scholte Wave in Shallow Water[J]. Acta Armamentarii, 2025, 46(8): 240605-.

Figures/Tables 14

Fig.1 Semi-infinite elastic model of underwater sound field

Fig.2 The relationship between group velocity and frequency of Scholte wave

Table 1 Media types and parameters

介质	纵波速度/(m·s^-1)	横波速度/(m·s^-1)	密度/(g·cm^-3)
海水	1000	0	1.0
硬海底	3500	1800	2.3

Fig.3 Time waveform of emitting acoustic pressure signal

Fig.4 Sound pressure spectrum level with the first pulse

Fig.5 Vertical normal stress signals of Scholte wave and Airy wave

Fig.6 Vertical normal stress of Airy wave

Fig.7 Phase velocity and group velocity of Scholte wave

Fig.8 Vertical normal stresses of Airy wave at twelve spatial locations on the seabed interface

Fig.9 Propagation loss curve of Airy wave vertical normal stress

Fig.10 Time domain signal received by six array elements

Fig.11 Time-domain signal received by array element 2

Fig.12 Spectrogram of underwater seismic wave signals

Fig.13 Group velocity dispersion curve of Scholte wave of airgun test signal

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