A simple solution to the problem of the surface displacements on an elastic half-space caused by an underground explosion is presented. The analysis is based on deriving the transient case for a point source from the steady state point source and then proceeding to the case of a finite spherical cavity by means of a retarded potential.

Theoretical values of maximum displacement compare favorably with measured values from the underground test shot Rainier, a nuclear explosion of Operation Plumbob.

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