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CHAPTER

                                                     6





                                       Deconvolution












                                               OUTLINE

              6.1 Convolutional Model             316    6.4 Predictive Deconvolution         335
              6.2 Assumptions for Deconvolution   319    6.5 Determination of Deconvolution
                 6.2.1 Assumption 1: A Simple Earth          Parameters                       337
                       Model                       320       6.5.1 Autocorrelation Time Gate  339
                 6.2.2 Assumption 2: Stationary Wavelet 320  6.5.2 Deconvolution Design Gate  340
                 6.2.3 Assumption 3: Noise Component  320    6.5.3 Operator Length            341
                 6.2.4 Assumption 4: Source Waveform  320    6.5.4 Prediction Lag             341
                 6.2.5 Assumption 5: Wavelet Causality  320  6.6 Poststack Deconvolution      349
                 6.2.6 Assumption 6: Random
                       Reflectivity                321   6.7 Maximum Entropy (Burg)
                                                             Deconvolution                    349
              6.3 Spiking Deconvolution           324
                 6.3.1 Deconvolution With Inverse        6.8 Shaping Filters                  350
                       Filter                      325
                                                         6.9 Surface Consistent Deconvolution  356
                 6.3.2 Inverse Filtering With Least
                       Squares                     328  6.10 QC in Deconvolution              357
                 6.3.3 Optimum Wiener Filters      330
                 6.3.4 Prewhitening                334



              By its simplest definition, deconvolution is the  the source signal from the seismic trace. In seis-
           inverse of the convolution process. In the convo-  mic data processing, it is widely used for improv-
           lutional model theory explained in Section 6.1,  ing the temporal resolution of the seismic data,
           the seismic trace is formed by a simple convolu-  since it is always preferred to work with seismic
           tion of the source signal and the earth’s reflectiv-  data having a broad amplitude spectrum, includ-
           ity series in depth. Deconvolution tries to remove  ing frequencies both low and as high as possible,



           Acquisition and Processing of Marine Seismic Data  313             # 2018 Elsevier Inc. All rights reserved.
           https://doi.org/10.1016/B978-0-12-811490-2.00006-2
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