The solution of vibration problem for multilayered half plane with cavity of arbitrary shape is constructed using boundary element method. For the case of relatively much sunken cavity an asymptotic representations for fundamental solutions is used. The results of problem simulation for displacement and stress fields close to cavity surface are given using boundary element method

Keywords: multilayered environment, cavity of arbitrary shape, asymptotic analysis, boundary element method

The application of asymptotic analysis method for displacement fields in environment is considered on the basis of special representation of motion equation solutions for multilayered half plane in the case of steady vibrations. The large parameter in suggested research method is distance from force source to supposed view point with glance of wave re-reflection from layer boundaries. The results of numerical simulation is given and the conclusion about the effectiveness of suggested method for construction of asymptotic expansion is given.

Keywords: Asymptotic expansion, Fourier integral, multilayered environment