Abstract
Many of the theoretical problems encountered in seismology do not permit a simple and easily understood type of solution directly in terms of rays as given in the previous chapter. This is because certain constraints, or boundary conditions, are imposed on the propagation. This, then, involves interference effects from multiple reflections and refractions and conversion effects from P to SV, or vice versa, which at a distance from the source determine the characteristics of the propagation. We arrive at normal mode effects, that is, preferred modes of vibration for the system and at wave guide effects, that is, propagation constrained for certain frequencies and incident angles to a given layer by the boundary conditions imposed by the upper and lower surfaces of the layer.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Båth, M. 1968. Mathematical Aspects of Seismology. New York: Elsevier.
Bullen, K. E. 1947. An Introduction to the Theory of Seismology. Cambridge: Cambridge University Press.
Ewing, W. M., W. S. Jardetsky, and F. Press. 1957. Elastic Waves in Layered Media. New York: McGraw-Hill.
Garland, G. D. 1971. Introduction to Geophysics. Philadelphia: W. B. Saunders.
Jeffreys, H. 1952. The Earth. Cambridge: Cambridge University Press.
Lamb, H. 1932. Hydrodynamics. New York: Dover.
Morse, P. M. 1948. Vibration and Sound. New York: McGraw-Hill.
Officer, C. B. 1958. Introduction to the Theory of Sound Transmission. New York: McGraw-Hill.
Pekeris, C. L. 1948. “Theory of propagation of explosive sound in shallow water,” Geol. Soc. Am., Memoir 27, 1948.
Stacey, F. D. 1969. Physics of the Earth. New York: Wiley.
Takeuchi, H. 1966. Theory of the Earth’s Interior. Waltham: Blaisdell.
Wangsness, R. K. 1963. Introduction to Theoretical Physics. New York: Wiley.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1974 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Officer, C.B. (1974). Seismology—Wave Theory. In: Introduction to Theoretical Geophysics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65731-3_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-65731-3_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-65733-7
Online ISBN: 978-3-642-65731-3
eBook Packages: Springer Book Archive