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INSTITUTE OF GEOPHYSICS, UNIVERSITY OF CALIFORNIA,, LOS ANGELES, CALIFORNIA
Abstract
Huygens' principle for elastodynamics has been applied to the problem of the radiation resulting from the introduction of a tear fault of finite length into an otherwise homogeneous medium. The fault has the following properties: (1) it is a surface across which the normal stresses vanish; (2) it has a rectangular shape with one dimension increasing at a constant rate in the direction of faulting; (3) the times of initiation and termination of the fault are both finite. The relative displacement on opposite sides of the fault is prescribed to be a step function of time. This configuration may be imaged in the earth's surface by symmetry, so that the problem is reducible to that of a propagating strike-slip fault of finite length in an infinite elastic medium. The observed events are the P and S waves from the two ends of the fault. Simplified "first motion" responses are computed and compared with solutions derived from the usual theory of force couples.
Footnotes
This work was supported by the American Petroleum Institute.
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