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Abstract

Summary: Methods using the theory of dislocations to model deformations on the surface of a layered half-space are extended to calculate deformation inside the medium. The source may be of different types as strike-slip, (inclined) dip-slip and a centre of compression. The method is exposed for point sources. Lama's constants for each layer may be chosen independently of each other. The layers are assumed to be laterally homogeneous but may have different thickness. Results for different displacement components and depths are shown in comparison to an unaltered, homogeneous half-space. The displacements obtained differ substantially depending on the distance from the source and on the contrast in Lame's constants. The method is useful in modelling deformation and tilt observed underground and related to seismic or aseismic sources at medium and distances far from the measuring device. They also allow to use information about the source and from superficial measurements, to trace deformations down from the surface through the medium, especially including layers with higher rigidity. Thus asperities might be simulated.