Asymptotic solutions to Cagniard's problem

Details Asymptotic solutions to Cagniard's problem Asymptotic solutions to Cagniard's problem

Sep 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999geoji.138..820g&link_type=abstract

Geophysical Journal International, Volume 138, Issue 3, pp. 820-830.

Astronomy and Astrophysics

Astronomy

2

Ray Theory, Seismic Modelling, Seismic Reflection

Scientific paper

When considering the seismic response in Cagniard's problem, where a plane interface separates homogeneous, isotropic media, high-frequency asymptotic representations are known to break down at critical angles, where head waves and reflected waves interfere. Formulae have been derived to correct this, to be used in conjunction with more standard asymptoti c expressions. We present formulae that are more generally applicable, as they account for the contribution of leaky waves, which can be asymptotically significant. The importance of leaky waves is shown to occur for strong contrasts in velocity across the interface. We therefore arrive at a series of approximations, based on a ray approach, that can be used to model a single interface or a system of homogeneous layers in an efficient manner.

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