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A method is proposed by which we can calculate group velocity in surface wave problems without using numerical differentiation. This method is applied to the study of shear velocity distribution in the upper mantle by mantle Rayleigh and Love waves. The present study gives preference to the 8099 model proposed by Dorman and to the Lehmann* model proposed here as the models of the upper mantle structure in the oceanic and the continental regions, respectively.
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TAKEUCHI et al. (1962) studied this question.
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