P- and S-wave direct static estimation from surface wave dispersion data

Surface wave dispersion can be inverted for S-wave 1D velocity models that can be used for static computation. We here show a method that, without the need of inverting the data, provides a direct estimate of not only S- but also P-wave time average velocity required for static computation. The method is based on the relationship between investigation depth of Rayleigh waves and their wavelength. We prove that this relationship is robust for estimate a set of VS time average velocity models requiring only a set of dispersion curves and the knowledge of one VS model. We also show that this relationship is sensitive to Poisson’s ratio and can therefore be used to estimate VP. We successfully apply the method to a synthetic dataset.