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Generally, surface wave dispersion curves are inverted to estimate S-wave velocity models. We here show a joint inversion approach to invert for both VS and VP models. In this work, the WD relationship and dispersion curve are jointly inverted based on a Monte Carlo inversion scheme. A WD relationship is a relationship between dispersion curve wavelength and investigation depth. Formerly, it has been verified that WD relationship is highly sensitive to Poisson’s ratio. And, in this work, it is proven that involving the WD relationship in the inversion process, significantly improves the results of VS and VP. We apply the method to a synthetic case.