黏弹性介质中瑞利波频散曲线和衰减系数曲线的反演

瑞利波具有能量大、信噪比高等特点,可以用来反演介质内部的力学信息,近年来在浅层地球物理勘探、深层地震学研究以及超声波无损检测等多个领域都有较广泛的应用。目前大多数瑞利波的应用中都假设介质是弹性的,然而实际中岩石、土壤和金属等介质都在一定程度上体现出了黏弹性。当介质的黏弹性较强时仍然采用弹性假设研究其中瑞利波的反演将增大误差,因此有必要考虑黏弹性介质中的瑞利波反演,但是目前这方面的研究仍不够深入。本文研究黏弹性介质中瑞利波频散曲线和衰减系数曲线的反演问题,给出其在半空间中联合反演的方法,并对该方法的误差进行分析。

Inversion of Rayleigh Wave Dispersion Curves and Attenuation Coefficient Curves in Viscoelastic Medium

Rayleigh waves always have a corresponding large amount of energy and a high signal-noise ratio that can be used for the inversion of mechanical information. In recent years, the Rayleigh wave method has been increasingly used in geophysical exploration, seismology, and ultrasonic non-destructive testing. To date, most Rayleigh wave applications are assumed to be in elastic media. However, media such as soil and rocks can show viscoelastic characteristics, and there will be an associated error if the medium is assumed to be elastic. Therefore, it is important to study the inversion of Rayleigh waves in viscoelastic media, and as yet there has been little research on this topic. In this study, we investigate the inversion problem of Rayleigh waves dispersion curves and attenuation coefficient curves, present a method to invert Rayleigh waves dispersion curves and attenuation coefficient curves, and analyze the error associated with this method.