It is shown that only a few very simple velocity-depth laws lead to path equations that can be integrated, and that none of them are suitable for application, either because there are no empirical velocities to which they conform sufficiently closely, or because the difficulties of fitting them to an empirical velocity are too great. It is shown that there are velocity-time relations that do conform closely to the usual form of an empirical velocity, relations which can be easily fitted to the latter, which are not difficult to handle, and which have other advantages. Two ways of applying the seismic paths are discussed.

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