Translations:Mathematical foundation of 3-D migration/51/en

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Here, we describe a practical scheme [1] > [2] which involves the design of a stable 2-D extrapolation filter, use of the McClellan transform to obtain a 3-D extrapolation operator without actually computing a 3-D operator, and replacing convolution for filter application by an efficient recursive scheme based on Chebychev polynomials.

  1. Hale, 1991a, Hale, D., 1991a, Stable explicit depth extrapolation of seismic wavefields: Geophysics, 56, 1770-1777.
  2. Hale, 1991b, Hale, D., 1991b, 3-D depth migration via McClellan transforms: Geophysics, 56, 1778–1785.