The possibility is here explored to use an 'equivalent' homogeneous configuration to simulate 1D seismic response of heterogeneous engineering-geological bodies when relatively weak seismic impedance contrasts (≤150 m/s) only exist above the seismic bedrock. This equivalent configuration is obtained by considering an equivalent Vs value the harmonic average of the actual Vs values and a linear combination of G/G0 and D curves relative to the lithotechnical components present in the actual configuration. To evaluate feasibility of this approach, a wide set of numerical simulations was carried out by randomly generating subsoil layering including sequences of alternating thin layers of geotechnical units (e.g., sands and clays) each characterized by a characteristic nonlinear curve. Outcomes of these simulations are compared with those provided by considering a single homogeneous layer characterized by equivalent nonlinear curves obtained as a weighted average of the original curves. By comparing the heterogeneous and the homogeneous columns seismic response in terms of amplification factors and fundamental period, the results confirm the possibility to model a 1D column characterized by a generic lithostratigraphic succession with an equivalent one without introducing significative errors that, at least for the studied cases, do not exceed the 6%. This conclusion is substantially confirmed by extending the comparison to a real case, i.e. the 113 m-thick heterogeneous soil profile at Mirandola site (Norther Italy), presented in the last part.
INTRODUCTIONAccounting for nonlinear behavior of soil under dynamic loads is necessary to provide a consistent modelling of local seismic response during strong earthquakes (Kramer, 1996). Two methods of analysis can essentially be chosen to this purpose: equivalent linear, based on a series of iterative analyses assuming a visco-elastic soil behavior, or a true nonlinear approach, this latter involving a broad range of simplified (i.e., hyperbolic family models) and advanced soil constitutive models (Hashash et al., 2010). The nonlinear curves, i.e. the normalized shear modulus (G/G0-g) and the damping ratio (D-g) curves, are directly employed in the equivalent linear strategy or used to calibrate the constitutive parameters in the true nonlinear approach. In the Seismic Microzonation (SM) studies the equivalent linear analysis is still the preferred approach because the limited data generally available on cyclic behavior as well as the large number of numerical simulations to be carried out (Pagliaroli, 2018). A crucial step in these analyses is defining variation of shear modulus and damping ratio when excitation strength increases (G/G0-g and D-g curves). These can be obtained ad hoc from laboratory