Sensitivity analysis of multi-mode Rayleigh and Love wave phase-velocity dispersion curves in horizontal layered models
YIN Xiaofei1, XU Hongrui2, HAO Xiaohan3, SUN Shida4, WANG Peng1
1. Institute of Earthquake Forcasting, China Earthquake Administration, Beijing 100036, China; 2. Subsurface Imaging and Sensing Laboratory, China Unversity of Geosciences(Wuhan), Wuhan, Hubei 430074, China; 3. Zhejiang Provincial Institute of Communications Planning, Design and Research, Hangzhou, Zhejiang 310000, China; 4. MOE Key Laboratory of Fundamental Physical Quantities Measurements, School of Physics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China
Abstract:High-frequency surface-wave method with Rayleigh wave and Love wave as the main study objects is widely applied in various fields such as underground water,environment and engineering.For horizontal layered models,S-wave velocities are the most important parameters for estimating multi-mode Rayleigh wave and Love wave phase-velocity dispersion curves.In this paper,the Jacobian matrix was used to infer the sensitivities of multi-mode Rayleigh wave and Love wave phase-velocity dispersion curves to S-wave velocities of the formations at different depths.The following conclusions were drawn.①The sensitivities of surface waves of different modes to the S-wave velocity at a certain depth are different.For both Rayleigh wave and Love wave,low-frequency surface wave is more sensitive to the S-wave velocities in deep formations,compared with high-frequency surface wave.Moreover,multi-mode phase velocities with a broad high-frequency range are sensitive to surface S-wave velocity.②Based on a velocity-increasing layered model and two layered models with velocity anomalies (containing low-velocity interlayer and high-velocity interlayer),the analysis results suggested that the phase-velocity dispersion curves of both Rayleigh wave and Love wave are sensitive to S-wave velocity in low-velocity layer,and they are both not sensitive to the S-wave velocity in high-velocity layer or below velocity-anomaly layer (low-velocity layer or high-velocity layer).③For surface wave of a certain mode,the frequency band of Love wave,in which phase-velocity dispersion curves are sensitive to S-wave velocity of a specific layer,is wider than that of Rayleigh wave.In addition,the sensitivity peaks of Rayleigh wave and Love wave phase-velocity dispersion curves to S-wave velocity of a certain layer are different.Therefore,joint inversion of multi-mode Rayleigh wave and Love wave phase-velocity dispersion curves can be applied to obtain high-precision shallow subsurface S-wave velocity.
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