Fast time-to-depth conversion and interval velocity estimation in the case of weak lateral variations |
We first test the proposed method using a synthetic model with known analytical time-to-depth conversion solutions. In this model, the exact velocity squared is given by
model-slow
Figure 3. The true velocity squared (top) of the linear sloth model (equation 22). Analytical (middle) is overlaid by image rays. Analytical (bottom) is overlaid by contours showing propagating image wavefront. |
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input-slow
Figure 4. Inputs of the proposed time-to-depth conversion for the linear gradient model. The last input (not shown here) is taken to be the central trace of (top) in this case. |
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estcompare-slow
Figure 5. The estimated values of , , in the linear sloth model (equation 22). |
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errcompare-slow
Figure 6. The errors of the estimated values of , , in comparison with the true values in the linear sloth model (equation 22). The errors are small for all estimated parameters indicating a good accuracy of the proposed method. |
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Fast time-to-depth conversion and interval velocity estimation in the case of weak lateral variations |