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Easy computation of static stress drop, slip, and moment on two-dimensional heterogeneous faults

OFFICE OF EARTHQUAKE STUDIES U.S. GEOLOGICAL SURVEY, 345 MIDDLEFIELD ROAD, MENLO PARK, CALIFORNIA 94025

Abstract

Simple analytical techniques are presented for finding static stress-slip solutions on two-dimensional faults. For a single rupture zone, an infinite number of analytic solutions can be obtained by expanding the stress drop over the rupture zone in terms of Chebyshev polyomials. The expansion allows the corresponding slip to be written in terms of the same coefficients used to describe the stress. The condition that determines whether or not the solution is finite everywhere reduces to whether or not the first two coefficients are zero. The seismic moment is shown to depend only on the first and third coefficients.

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