Volume 9 Number 1
  • E-ISSN: 1365-2478



A method is developed for determining the propagation of a wave of arbitrary shape in an inhomogeneous medium in which both the density and the velocity change with depth according to an arbitrary continuous function. The solution is obtained by means of successive approximations. The successive terms in this approximation correspond to the direct wave, single reflections and multiple reflections of successive order. The general formulae are then applied to three particular types of transition layer.


Article metrics loading...

Loading full text...

Full text loading...


  1. Peterson, R. A., Fillippone, W. R., Coker, F. B., 1955, “The synthesis of seismograms from well‐log data. Geophysics, 20, p. 516.
    [Google Scholar]
  2. Menzel, H., Rosenbach, O., 1957, “Theoretische Untersuchungen über den Einfluss der Verwitterungsschicht auf das Spektrum elastischer Wellen in der Reflexions‐seismik. Geoph. Prosp., 5, p. 328.
    [Google Scholar]
  3. Menzel, H., Rosenbach, O., 1958, “The influence of a layer complying with a linear velocity law on the shape of seismic pulses. Geoph. Prosp., 6, p. 408.
    [Google Scholar]
  4. Hazebroek, P., 1959, “Recalculation. Geoph. Prosp., 7, p. 10.
    [Google Scholar]
  5. Berryman, L. H., Goupillaud, P. L., Waters, K. H., 1958, “Reflections from multiple transition layers. Geophysics, 23, p. 223.
    [Google Scholar]
  6. Bortfeld, R., 1960, “Seismic waves in transition layers. Geoph. Prosp., 8, p. 178.
    [Google Scholar]
  • Article Type: Research Article
This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error