Implicit versus explicit 3-D poststack depth migration

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Seismic Data Analysis
Series Investigations in Geophysics
Author Öz Yilmaz
ISBN ISBN 978-1-56080-094-1
Store SEG Online Store

Finally, we compare the performance of the implicit and explicit schemes using the circularly symmetric salt-dome model data set of Figure 8.4-2. The implicit scheme uses the 45-degree extrapolator in a split mode, and the explicit scheme uses a one-dimensional (1-D) explicit filter combined with the 5 × 5 McClellan filter template (Section G.2). Selected inline sections are shown in Figure 8.4-13, and depth slices are shown in Figure 8.4-14. The top-salt boundary is imaged more accurately by the explicit scheme because of the near-circular symmetry of its impulse response (Figure 7.3-14). Positioning errors by the implicit scheme implied by its impulse response (Figure 7.3-3) are better observed on the depth slices. Note in Figure 8.4-14 that the top-salt boundary image by the implicit scheme is not circularly symmetric; instead, significant undermigration especially along the two diagonals has resulted. In contrast, the explicit scheme has preserved the circular character of the salt dome.

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Implicit versus explicit 3-D poststack depth migration
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