“…Since scattering attenuation is the mathematical expression of energy redistribution, geoprocesses shown to be significantly affected by micro-scale heterogeneities, cannot be accurately simulated based on the assumption of scattering energy loss. Examples include the soil response during liquefaction (POPESCU and PREVOST, 1996;POPESCU et al, 1997;KOKUSHO, 1999); the spatial variability of surface ground motion (ASSIMAKI et al, 2003;NOUR et al, 2003); slope instability (YONG et al, 1977;TONON et al, 2000), settlement (PAICE et al, 1996) and seepage (GRIFFITHS and FENTON, 1993;FENTON and GRIFFITHS, 1996) in porous media; and soilstructure interaction (ZERVA, 1991). In particular for high-frequency components of seismic waves propagating through the near-surficial, highly heterogeneous formations, deviation of our predictions from the physical process might be quite Figure 21 Comparison of: (a) the optimum synthetic and observation ground surface motion for event 1 at station iwth04, and (b) the empirical transfer functions obtained from the recorded and synthetic surface and borehole seismograms for the optimization time window, and (c) the theoretical transfer function obtained using the average site response and travel time, and the one obtained using 2 s window wavelet-domain inversion, to the frequency response computed using 10 s-windows of 28 events recorded at the site.…”