A scheme recently proposed by the authors for constructing Earth models which fit a given finite set of gross Earth data is applied to the problem of constructing a P-velocity structure which, within experimental error, fits the observed travel times in the range Δ = 25°(5°)95°. Three such models are obtained, all of which fit the observed travel times with residuals less than 0.06s, whereas 0.5s is the estimated standard error of the observations. The models differ mainly in the outer 700 km of the mantle.

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