Types of elastic nonlinearity of sedimentary soilsстатья
Статья опубликована в высокорейтинговом журнале
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Аннотация:Vertical array records of the 1995 Kobe earthquake
showed clearly nonlinearity of soil behavior. Although there
have been few observational validations, earlier scientific
publications on soil nonlinearity appeared since 1970’s. In
theoretical studies, nonlinearity has been introduced in
constitutive relations as the quadratic correction to Hooke’s
law, but the question of the types of soil nonlinearity was not
investigated. Here we show, on the basis of data processing
and nonlinear system identification technique, that
sediments represent physical systems possessing mostly
odd types of nonlinearity. Even-order nonlinearities become
comparable with odd-order ones only in special cases, like
liquefied soils. Though the even and odd nonlinearities have
much in common, the frequencies of combination
harmonics, shapes of seismic solitary waves, and other
nonlinear phenomena are different in these two cases. On the
whole, the nonlinearity in soils leads to changes in spectra of
propagating seismic signals: the spectra tending to take the
form of E( f )^f – n.