Numerical-analytical interfacing in two dimensions with applications to modeling NTS seismograms
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A new method for interfacing numerical and integral techniques allows greater flexibility in seismic modeling. Specifically, numerical calculations in laterally varying structure are interfaced with analytic methods that enable propagation to great distances. Such modeling is important for studying situations containing localized complex regions not easily handled by analytic means. The calculations involved are entirely two-dimensional, but the use of an appropriate source in combination with a filter applied to the resulting seismograms produces synthetic seismograms which are point-source responses in three dimensions. The integral technique is called two-dimensional Kirchhoff because its form is similar to the classical three-dimensional Kirchhoff. Data from Yucca Flat at the Nevada Test Site are modeled as a demonstration of the usefulness of the new method. In this application, both local and teleseismic records are modeled simultaneously from the same model with the same finite-difference run. This application indicates the importance of locally scattered Rayleigh waves in the production of teleseismic body-wave complexity and coda.
- Baker, B. B., Copson, E. T. (1950) The Mathematical Theory of Huygens' Principle. Oxford University Press, London
- Eckren, E. B. Geologic setting of Nevada Test Site and Nellis Air Force Range. In: Eckel, E. B. eds. (1968) Nevada Test Site, GSA Memoir 110. GSA, Boulder, CO, pp. 21-33
- Frazer, L. N., Sen, M. K. (1985) Kirchhoff-Helmholtz reflection seismograms in a laterally inhomogeneous multi-layered elastic medium—I. Theory. Geophy. J. Roy. Astron. Soc. 80: pp. 121-147
- Hart, R. S. Hadley, D. M. Mellman, G. R., andButler, R. (1979),Seismic amplitude waveform research, Final Technical Report SGI-R-79-012 (Sierra Geophysics).
- Hartzell, S., Heaton, T. (1983) Inversion of strong ground motion and teleseismic waveform data for the fault rupture history of the 1979 Imperial Valley, California earthquake. Bull. Seism. Soc. Am. 73: pp. 1553-1583
- Hays, W. W., Murphy, T. R. (1970) The effect of Yucca Fault on seismic wave propagation, Report NVO-1163-TM-19. Environmental Research Corporation, Las Vegas
- Helmberger, D. V. Theory and application of synthetic seismograms. In: Kanamori, H., Boschi, E. eds. (1983) Earthquakes: Observation, Theory and Interpretation, Proc. Int. Sch. Phys. “Enrico Fermi,” Course LXXXV. North-Holland Publ., Amsterdam, pp. 174-221
- Helmberger, D. V., Hadley, D. M. (1981) Seismic source functions and attenuation from local and teleseismic observations of the NTS events JORUM and HANDLEY. Bull. Seism. Soc. Am. 71: pp. 51-67
- Hilterman, F. J. (1975) Amplitudes of seismic waves—a quick look. Geophysics 40: pp. 745-762
- Houser, F. N. Application of geology to underground nuclear testing, Nevada Test Site. In: Eckel, E. B. eds. (1968) Nevada Test Site, GSA Memoir 110. GSA, Boulder, CO, pp. 11-19
- Hudson, J. A. (1963) SH waves in a wedge-shaped medium. Geophys. J. Roy. Astron. Soc. 7: pp. 517-546
- Keho, T. H. andWu, R. S. (1987),Elastic Kirchhoff migration for vertical seismic profiles, Society of Exploration Geophysics, Extended abstract with biographies, pp. 774–776.
- Lay, T. (1987) Analysis of near-source contributions to early P-wave coda for underground explosions: 2. Frequency dependence. Bull. Seism. Soc. Am. 77: pp. 1252-1273
- Lay, T. (1987) Analysis of near-source contributions to early P-wave coda for underground explosions: 3. Inversion for isotropic scatterers. Bull. Seism. Soc. Am. 77: pp. 1767-1783
- Lay, T., Wallace, T. C., Helmberger, D. V. (1984) Effect of tectonic release on short period P waves from NTS explosions. Bull. Seism. Soc. Am. 74: pp. 819-842
- Lynnes, C. S. andLay, T. (1988),Observations of teleseismic P-wave coda for underground explosions, PAGEOPH, this issue.
- Mow, C. C. andPao, Y. H. (1971),The Diffraction of Elastic Waves and Dynamic Stress Concentrations (Report R-482-PR for United States Air Force Project Rand, Santa Monica, CA) pp. 140–171.
- Scott, P., Helmberger, D. (1983) Applications of the Kirchhoff-Helmholtz integral to problems in seismology. Geophys. J. Roy. Astron. Soc. 72: pp. 237-254
- Taylor, R. T. (1983) Three-dimensional crust and upper mantle structure at the Nevada Test Site. J. Geophys. Res. 88: pp. 2220-2232
- Vidale, J. E. (1986) Application of two-dimensional finite-differencing methods to simulation of earthquakes, earth structure, and seismic hazard. Calif. Institute of Tech., Pasadena
- Vidale, J. E., Helmberger, D. V. Path effects in strong motion seismology. In: Bolt, B. eds. (1987) Methods of Computational Physics. Academic Press, New York, pp. 267-319
- Vidale, J. E., Helmberger, D. V. (1987) Elastic finite-difference modeling of the 1971 San Fernando, Ca. earthquake. Bull. Seism. Soc. Am. 78: pp. 122-141
- Vidale, J. E., Helmberger, D. V., Clayton, R. W. (1985) Finite-difference seismograms for SH waves. Bull. Seism. Soc. Am. 75: pp. 1765-1782
- Numerical-analytical interfacing in two dimensions with applications to modeling NTS seismograms
pure and applied geophysics
Volume 128, Issue 1-2 , pp 157-193
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