Summary
In an earlier paper the author developed mathematical expressions for the longitudinal and transverse wave velocities in the lower mantle in the form of power functions of the radius. In the present paper we shall instead develop the velocities as power series or polynomials of the radius. The two procedures are compared with regard to accuracy and convenience in applications. The power series expansion can permit higher accuracy in the representation of the velocities, but often entails greater complications in applications.
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References
M. Båth Seismic wave velocities in the lower mantle, Pure and Appl. Geophys. 65 (1966), 5.
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R. C. Weast, (Ed.),Handbook of mathematical tables Chemical Rubber Co., Cleveland, Ohio, 1964, 680.
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Båth, M. Seismic wave velocities in the lower mantle — Part II. PAGEOPH 68, 19–23 (1967). https://doi.org/10.1007/BF00874880
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DOI: https://doi.org/10.1007/BF00874880