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Volume 32 Number 5
  • E-ISSN: 1365-2478

Abstract

A

In this paper we develop a recursive algorithm to obtain the layer parameters of an elastic medium (density, P‐wave velocity, S‐wave velocity) from reflection coefficient matrices in terms of energy flux ratios for a non‐normal incidence case. We define a layer impedance matrix, analogous to the impedance of an acoustic medium. Next we derive a matrix relationship between the layer impedance matrix of the + 1st layer and the reflection coefficient and parameter matrices of the th layer. This relationship leads to recursively computing the parameters of the subsurface. We show that the elastic case—unlike the acoustic case—allows one to recover the layer parameters from the impedance matrix for non‐normal incidence. The results of this work play a key role in the solution of the inverse problem with non‐normal‐incidence plane‐wave seismic data when using a downward continuation technique.

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/content/journals/10.1111/j.1365-2478.1984.tb00741.x
2006-04-27
2024-04-24

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References

  1. Aminzadeh, F.1979, Non‐normal incidence state space model for layered media systems, PhD Dissertation, Department of Electrical Engineering, University of Southern California, Los Angeles .
  2. Aminzadeh, F. and Mendel, J. M.1982, Non‐normal incidence state space model and line source reflection synthetic seismogram, Geophysical Prospecting30, 541–568.
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  • Article Type: Research Article

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