Premium
Green's function for a horizontally layered anisotropic soil
Author(s) -
Waubke Holger,
Kreuzer Wolfgang,
Hrycak Tomasz,
Schmutzhard Sebastian
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900016
Subject(s) - mathematical analysis , transformation (genetics) , fourier transform , inverse , boundary (topology) , boundary element method , mathematics , gravitational singularity , function (biology) , anisotropy , domain (mathematical analysis) , green's function , frequency domain , geometry , physics , finite element method , optics , chemistry , biochemistry , evolutionary biology , biology , gene , thermodynamics
The Green's function for an anisotropic horizontally layered soil can be determined in the wave‐number frequency domain. Only the vertical axis remains in the original domain. For a simulation in 2.5D a numerical inverse Fourier integral transformation, about one horizontal axis is needed. This leads to difficulties at the singularities of the function. For the boundary element method in 2.5D the integrals along the boundary are transformed to the wave‐number domain and solved analytically. The result is a filter that attenuates the spectrum of the Green's function and therefore allows for an inverse Fourier transformation using numerical methods. For an efficient inverse transformation the Filon method together with an adaptive algorithm are used.