Optimization Approach to the Earthquake Source Inverse Problem

The paper deals with the model inverse problem of the determination of mechanical and geometrical parameters of the rupture propagating in an elastic medium. The optimization approach is used to solve this problem. The displacement field is calculated by means of the exact solution of the forward problem for the moving rupture of the complicated form in the infinite elastic medium. The character of wave field distribution in space and time, and main properties of the data misfit functional are investigated in detail for a simple example of the plane infinitely wide ground of the rupture. The possibility to solve such a kind of inverse problem in principle is established. Such kinds of problems could be of interest both in seismology to study earthquake mechanism and in practical applications to control the material destruction.

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