An analytical model of seismic travel times for a spherically asymmetric Earth |
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| Authors: | Karel Pěč Zdeněk Martinec Reviewer J Vaněk |
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| Institution: | (1) Department of Geophysics and Meteorology, Faculty of Math. and Phys., Charles Univ., Prague |
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| Abstract: | Summary A general analytical model for travel times of seismic waves propagating in a radially asymmetric Earth, is suggested. It is represented by a series of irreducible spherical tensor products with bipolar spherical coefficients. The main term of the series describes the travel times in a radially symmetric Earth, the others represent corrections due to the spherical assymmetry. The method of least squares is suggested for determining the bipolar spherical coefficients from observed seismic travel times. Since the proposed theory assumes that the analytical representation is related to the reference earth, the corrections to the non-zero focal depth and non-zero sea-level height of the seismographic station must be introduced.
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