Multiple Attenuation

In this section I examine the difference between the estimate of the multiples and primaries obtained with the Radon transforms computed with both approximations. I use the same ADCIGs from the previous section.

 

mul_comp1
Figure 6 Comparison of the multiple model for the synthetic ADCIG of Figure . Panel (a) shows the multiples obtained with the straight-ray approximation and panel (b) the multiples obtained with the ray-bending approximation.

 

prim_comp1
Figure 7 Comparison of the primary model for the synthetic ADCIG of Figure . Panel (a) shows the primaries obtained with the straight-ray approximation and panel (b) the primaries obtained with the ray-bending approximation.

Figure  shows the comparison of the multiple model estimated with both transforms for the synthetic data shown in Figure . The better focusing of the multiples in the Radon domain with the ray-bending approximation translates into a slightly better estimate of the multiples, especially at the large aperture angles. Some weak residual primary still leaks into the multiples, although with higher amplitude amplitude with the straight-ray approximation (see the primary at 200 m). Figure  shows the comparison of the primary estimates. Again, a better result is obtained with the ray-bending approximation. In particular, less energy from the multiples leaks into the primaries.

Figure  shows the comparison of the multiple model for the real dataset of Figure . Notice that again, the new transform [panel (b)], recovers a little better the multiple energy on the large aperture angles, especially above 1000 m. This energy will otherwise leak into the estimate of the primaries. Finally, Figure  shows the comparison of the primary estimate with both transforms. Although the two panels look similar, careful examination of the large aperture angles specially above 1000 m shows that the new transform [panel (b)] has recovered the primaries better.

 

mul_comp2
Figure 8 Comparison of the multiple model for the real ADCIG of Figure . Panel (a) shows the multiples obtained with the straight-ray approximation and panel (b) the multiples obtained with the ray-bending approximation.

 

prim_comp2
Figure 9 Comparison of the primary model for the real ADCIG of Figure . Panel (a) shows the primaries obtained with the straight-ray approximation and panel (b) the primaries obtained with the ray-bending approximation.