Evaluation of static stress on a fault plane from a Green's function

Abstract

abstract Direct numerical evaluation of shear strain on a fault plane using the representation theorem is not possible because source points near the field point give large and canceling contributions to the integral. The representation theorem for strain can be integrated by parts to obtain an expression valid everywhere and suitable for numerical evaluation on the fault plane. Stress-drop evaluated by this method for the circular dislocation of Keylis-Borok agrees well with the analytic solution.