f Upscaling for Seismic Waves in Heterogeneous Elastic Isotropic Media

In seismic processing very often a smooth elastic medium is required (e.g., for a successful application of ray tracing methods). Therefore a smoothing method is necessary when small scale heterogeneities are present. That means the elastic parameters have to be averaged such that the difference between the wavefields in the original and smoothed medium is minimized.