A Mathematical Statistics Formulation of the Teleseismic Explosion Identification Problem with Multiple Discriminants
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.
- Research Organization:
- Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC05-76RL01830
- OSTI ID:
- 921556
- Report Number(s):
- PNNL-SA-49313; BSSAAP; NN2003000; TRN: US200804%%663
- Journal Information:
- Bulletin of the Seismological Society of America, 97(5):1730-1741, Vol. 97, Issue 5; ISSN 0037-1106
- Country of Publication:
- United States
- Language:
- English
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