Volume 24 Number 1
  • E-ISSN: 1365-2478



It is well known that interval velocities can be determined from common‐reflection‐point moveout times. However, the mathematics becomes complicated in the general case of homogeneous layers with curved interfaces dipping in three dimensions.

In this paper the problem is solved by mathematical induction using the second power terms only of the Taylor series which represents the moveout time as a function of the coordinate differences between shot and geophone points. Moreover, the zero‐offset reflection times of the th interface in a certain area surrounding the point of interest have to be known. The —I upper interfaces and interval velocities are known too on account of the mathematical induction method applied. Thus, the zero‐offset reflection raypath of the th interface can be supposed to be known down to the intersection with the (—1)th interface.

The method applied consists mainly in transforming the second power terms of the moveout time from one interface to the next one. This is accomplished by matrix algebra.

Some special cases are discussed as e.g. uniform strike and small curvatures.


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  1. Dix, C. H., 1955, Seismic velocities from surface measurements: Geophysics20, 68–86.
    [Google Scholar]
  2. Dürbaum, H., 1954, Zur Bestimmung von Wellengeschwindigkeiten aus reflexionsseismischen Messungen: Geophys. Prosp. 2, 151–167.
    [Google Scholar]
  3. Krey, Th., 1954, Bemerkung zu einer Formel für Geschwindigkeitsbestimmungen aus seismischen Messungen von C. H. Dix: Erdöl und Kohle7, 8–9.
    [Google Scholar]
  4. Krey, Th, 1965, Die Bedeutung der Horizontkrümmung für einige Meβ‐ und Rechenverfahren in der Angewandten Seismik: Dissertation Univ. München .
    [Google Scholar]
  5. Shah, P. M., 1973, Use of wavefront curvature to relate seismic data with subsurface parameters: Geophysics38, 812–825.
    [Google Scholar]
  6. For more literature see (1973).
  • Article Type: Research Article
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