Delay time

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Problem 11.8

Show that in Figure 11.8a is given by


(11.8a)

Background

The concept of delay time has found wide application in refraction interpretation (see problems 11.9 and 11.11). We define the delay time associated with the refraction path SMNG in Figure 11.8a as the observed traveltime minus the time required to travel from to at the velocity . is the projection of the path SMNG onto the refractor), Writing for the total delay time, we have


(11.8b)


(11.8c)


(11.8d)


(11.8e)

Solution

Referring to Figure 11.8a, we have, by definition,

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Proof of a generalized reciprocal method relation Barry’s delay-time refraction interpretation method
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