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Published February 1985 | Published
Journal Article Open

Applications of the transmitted Kirchhoff-Holmholtz method to transmitted body waves and possible structural effects at NTS


We extend the Kirchhoff-Helmholtz integral method to calculate acoustic potentials which transmit through three-dimensional warped boundaries. We specify the potentials on an arbitrary surface with Snell's law and plane-wave transmission coefficients and numerically integrate their contributions at a receiver via the scalar integral representation theorem. The method is appropriate for modeling precritical transmitted potentials. Results from test models compare well with optical solutions for transmissions through a flat interface. We model the effect of several idealized crust-mantle boundary structures on teleseismic P wave generated by explosion sources. The structures are all upwarps and are designed to produce travel-time residuals as a function of delta and azimuth which have the same magnitude as residuals observed for NTS tests within Pahute Mesa. These structures consistently cause complicated low amplitude waveforms which arrive early and simple high amplitude waveforms which arrive late. Thus, they cause systematic amplitude variations with azimuth, delta, and source location. The magnitude of this variation is less than or equal to 2½. This factor is somewhat less than the observed ab amplitude variation with azimuth of Pahute Mesa tests; however, it is approximately the same magnitude as the observed ab variation at a given station as a function of test location within the mesa.

Additional Information

© 1985, by the Seismological Society of America. Manuscript received 28 June 1984. We wish to thank Dave Cole, Holly Eissler, Dave Harkrider, and Thorne Lay for critically reviewing this manuscript. This work was supported by ONR Contract 14-76-C-1070 and by the Air Force Office of Scientific Research under Contract F49620-83-C-0025.

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