Crustal deformation of the Earth due to vertical dip-slip faulting

Closed-form solution for the plane strain problem of static deformation of a homogeneous, isotropic, elastic layer of uniform thickness resting over a rough rigid base caused by a vertical dip-slip fault located in the elastic layer has been studied. The stresses and displacements have been obtained using the Airy stress function approach in the integral form by applying suitable boundary conditions at the free surface. To evaluate the integrals analytically, the denominator term has been replaced with a finite sum of exponential terms using the Least Square approximation. The integral expressions for the displacements have been evaluated analytically. The variation of horizontal and vertical displacement has been computed numerically for different source locations for two mechanically different crusts: continental crust and oceanic crust.