Deformation of a layered half-space due to a very long dip-slip fault

Abstract

The problem of the static deformation of an elastic layer of uniform thickness overlying an elastic half-space caused by a very long dip-slip fault in the layer is solved analytically. Integral expressions for the surface displacements are obtained for a vertical dip-slip fault and a 45° dip-slip fault. The displacements for a dip-slip fault of arbitrary dip can be expressed in terms of the displacements for a vertical dip-slip fault and a 45° dip-slip fault. The integrals involved are evaluated approximately by replacing the integrand by a finite sum of exponential terms. Detailed numerical results showing the variation of the horizontal and vertical displacements with epicentral distance for various source locations in the layer are presented graphically.