Kreuzer W., Waubke H., Balazs P.

Models that allow calculations of wavepropagation in soil layers become more and more important, for example as a tool to develop strategies to prevent annoying vibrations induced by heavy traffic or industrial plants. Up to now mostly deterministic models, i.e. models with fixed material parameters, are used, but since in general it is quite hard to determine these values exactly, it is reasonable to use a model with stochastic parameters. These models have the disadvantage that they require high amounts of computing power. We introduce ideas for a model based on finite elements, Fourier transformation, Karhunen Loeve Expansion and Chaospolynomials that allows us to use stochastic material parameters but also reduces the high dimension of the system using a special iteration scheme, thus making it possible to calculate vibrations in soil layers with a reasonable amount of computing power.