Seismic monitoring for underground nuclear explosions answers three questions for all global seismic activity: Where is the seismic event located? What is the event source type (event identification)? If an explosion, what is the yield? Resolution to these questions often involves a seismic analyst processing strong seismic wave propagation with a path largely in the mantle, that is, teleseismic events. This paper develops a mathematical statistics formulation of the teleseismic theory that is the basis for event identification. The four discriminants used to identify teleseismic events are depth from travel time, presence of long-period surface energy (mb versus Ms ), depth from reflective phases, and polarity of first motion. For each discriminant a probability model is formulated under a general null hypothesis of H0 : Explosion Characteristics. The veracity of the hypothesized model is measured with a p-value calculation that is filtered to be approximately Gaussian and ranges between zero and one. A value near zero indicates inconsistency with Explosion Characteristics, and a moderate to large value indicates consistency with Explosion Characteristics (see Stuart et al. (1994)). The hypothesis test formulation ensures that seismic phenomenology is tied to the interpretation of the p-value. Established statistical discrimination methods can be used to formulate a unified decision using all observed discriminants.
Revised: March 10, 2011 |
Published: October 1, 2007
Citation
Anderson D.N., D.K. Fagan, M. Tinker, G. Kraft, and K. Hutchenson. 2007.A Mathematical Statistics Formulation of the Teleseismic Explosion Identification Problem with Multiple Discriminants.Bulletin of the Seismological Society of America 97, no. 5:1730-1741.PNNL-SA-49313.