MATHEMATICAL PROBLEMS IN SEISMOLOGY
Technical Report
·
OSTI ID:4068124
Some mathematical problems in seismology are treated. Equations of motion are solved for various simple cases; expressions are derived for earth motion caused by an initially spherically symmetric disturbance in an ideal halfspace and for a half-space covered by a layer. Surface waves are considered, and the possible effects of various factors on the frequency content of Rayleigh waves are studied. Numerical work is presented for the displacement caused by the sudden injection of a volume into a homogeneous half-space (E. Pinney's model) and for ray paths in a medium of arbitrarily varying index of refraction. An iteration-variation method is developed for solving wave equations in media of variable index of refraction. (D.L.C.)
- Research Organization:
- Sandia Corp., Albuquerque, N. Mex.
- NSA Number:
- NSA-15-013160
- OSTI ID:
- 4068124
- Report Number(s):
- SC-4542(RR)
- Country of Publication:
- United States
- Language:
- English
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