Correlations of seismic motions and energy distributions: Numerical results

It is well known that the response of a medium at a specified load is given by the Green's function, which can be seen as an intrinsic property of the medium. However, in many situations, the Green's function is not available. In seismology, the Green's function is the fundamental characteristic of the medium where seismic waves propagate and this function can be recovered experimentally by correlations of seismic movements. Furthermore, in a two-dimensional infinite medium, waves (P- and SV-waves) propagate with fixed amounts of energy. These amounts of energy, associated with the P- and SV-waves, vary with the type of medium, which is characterized by the Poisson's ratio. Additionally, the theoretical energy distribution has been reported in the literature as a function of the elastic properties of the medium, specifically its Poisson's ratio. In this paper, an approach to calculate the energy distributions associated with P- and SV-waves is provided. This approach is based on the interpretation of theoretical seismograms and recovered seismograms by means of correlations. This approach has important implications because by the results obtained it is possible to validate if a correlation of seismic movements is close to fully validated theoretical values. This article shows some examples and cases varying types of materials, characterized by its Poisson's ratio.