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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;  
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.
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