Translations:Model used for deconvolution/9/en

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The ensemble of the reflection coefficients comprises the reflectivity series. The seismic trace is the response of the reflectivity series to wavelet excitation, that is, the trace is a superposition of the individual wavelets. This linear process is called the principle of superposition, which we discussed in Chapter 1. The process is achieved computationally by convolving the wavelet with the reflectivity series. To identify closely spaced reflecting boundaries, the wavelet must be removed from the trace to yield the reflectivity series. This removal process is the opposite of the convolutional process used to represent the response of the reflectivity series to a wavelet excitation. Such an opposite or inverse process is appropriately called inverse filtering or deconvolution (Robinson, 1954[1], 1957[2], 1966[3]; Robinson and Treitel, 1967[4], 1969[5]; Peacock and Treitel, 1969[6]).

  1. Robinson, E. A., 1954, Predictive decomposition of time series with applications to seismic exploration: Ph.D. thesis, Massachusetts Institute of Technology. (Reprinted in Geophysics, 32, 418-484, 1967.)
  2. Robinson, E. A., 1957, Predictive decomposition of seismic traces: Geophysics, 22, 767-778.
  3. Robinson, E. A., 1966, Multichannel z-transforms and minimum-delay: Geophysics, 31, 482-500. Erratum: Geophysics, 31, 992.
  4. Robinson, E. A., and S. Treitel, 1967, Principles of digital wiener filtering: Geophysical Prospecting, 15, 311-333.
  5. Robinson, E. A., and S. Treitel, 1969, The Robinson-Treitel reader: Seismograph Service Corporation.
  6. Peacock, K. L., and S. Treitel, 1969, Predictive deconvolution: Theory and practice: Geophysics, 34, 155-169.