Crustal Deformation due to Dislocation in a Multi-layered Medium

Integral representation of the static surface deformation due to a dislocation with an arbitrary orientation, at any depth, in a multi-layered medium is obtained (§2).A part of the integrand is approximated by an analytical function by applying successive least squares approximation and the integration is performed (§3).By designating the fault parameters, such as fault depth, fault length, fault width, slip angle, dip angle and the spacial distribution of the dislocation over the fault plane, the surface deformation is evaluated by numerical integration techniques.The purpose of this paper is not to find the general features of deformations due to various fault models but to establish several machine compution techniques, hence only a few examples of numerical computations are presented.