Page 158 - 《应用声学》2023年第1期

第 42 卷 第 1 期 Vol. 42, No. 1
2023 年 1 月 Journal of Applied Acoustics January, 2023

⋄ 研究报告 ⋄

混合物介质中声波尾波成因的随机过程分析 ∗

郑康琳 † 王 陶 樊 平 李 萍

(交通运输部公路科学研究所 北京 100088)

摘要：该文基于声波在混合物介质中传播时反射及散射的随机特性，把混合物介质抽象为三维各向同性的马
尔科夫链，把声波在混合物介质中传播过程抽象为声波在三维马尔科夫链中以声速进行 “随机游走” 的随机过
程。用空间内某点接收到声波的概率类比该点接收波振幅，以声波到达该点所走过的步数类比接收波时域曲
线的时间。此理论模型可较好解释声波在混合物介质中传播时 “峰波延后” 及 “尾波” 等现象。
关键词：声波；混合物介质；随机过程；尾波
中图法分类号: U446 文献标识码: A 文章编号: 1000-310X(2023)01-0154-05
DOI: 10.11684/j.issn.1000-310X.2023.01.020

Analysis of coda formation of acoustic waves in mixtures by stochastic process

ZHENG Kanglin WANG Tao FAN Ping LI Ping

(Research Institute of Highway Ministry of Transport, Beijing 100088, China)

Abstract: Based on the random characteristics of reflection and scattering when sound waves propagate in
mixed media, the mixed media is abstracted as a three-dimensional isotropic Markov chain, and the propagation
process of sound waves in mixed media is abstracted as a random process in which sound waves “random walk”
at the speed of sound in the three-dimensional Markov chain. The probability of receiving a sound wave at a
certain point in space is used to simulate the amplitude of the received wave at that point, and the time of
the time-domain curve of the received wave is compared with the steps taken by the sound wave to reach that
point. This theoretical model can better explain the phenomena of “peak wave delay” and “tail wave” when
sound waves propagate in mixed media.
Keywords: Acoustic wave; Mixture medium; Random process; Coda

2021-10-19 收稿; 2022-03-04 定稿
中央级公益性科研院所基本科研业务费专项资金项目 (2021-9023a)
∗
作者简介: 郑康琳 (1979– ), 男, 陕西商洛人, 硕士, 高级工程师, 研究方向: 桥梁安全及无损检测。
† 通信作者 E-mail: 7605261@qq.com