Rayleigh Wave Depth-Frequency Analysis

Abstract

Rayleigh wave survey is an important technique to solve the near-surface geological problems. In this paper, we developed a new method of Rayleigh wave depth-frequency analysis, which is based on 2D Fourier Transform theory. We establish the equation of Rayleigh wave depth-frequency analysis to demonstrate the relationship among frequency, wave number, phase velocity, wavelength, and penetration depth. It is more convenient to obtain a relevant depth-frequency spectrum by converting f-k spectrum into the depth-frequency (H-f) spectrum with this relationship. We can arrive at better results by extracting the frequency and depth information from H-f spectrum. We used the new method to test an actual dataset. The results show that the method has the ability to extract the near-surface geological information with high accuracy and strong capabilities of de-noising.