Synthetic data example

For testing of this algorithm, a synthetic data set containing four linear events without noises, shown in Figure c, is prepared. This synthetic data set is irregularly sampled along the offset axis, while the offsets, shown in Figure a, do not increase linearly with respect to the trace number. For a clearer understanding of the geometry of Figure c, I include Figure b, which is the gap between traces and it shows a random characteristic of the trace offsets. Figure shows the result of regridding with uniform sampling interval of the data shown in Figure c. Even though the result produced some noises which did not exist in the original data set, all linear events show good line up with dips picked, and the spectrum in Figure confirms a reasonable interpolation.

For a more realistic example, noises have been added to the data set, Figure c, and it is shown in Figure c. The offsets of traces in this data set are the same as the data set without noise. Figure shows the result after regridding from Figure c, and also good line up along dips picked.

 

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Figure 8 (a) Offset with respect to the trace number. (b) Offset difference between the nearest traces. (c) Synthetic plane waves with irregularly sampled traces and the zero traces are regularly sampled trace which is to interpolated.

 

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Figure 9 (a) The result of interpolation onto a uniformly sampled grid($\Delta x$ = 25 meters). (b) the spectrum of (a)

 

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Figure 10 (a) Offset with respect to the trace number. (b) Offset difference between the nearest traces. (c) Synthetic plane waves with irregularly sampled traces and the zero traces are regularly sampled trace which is to interpolated.

 

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Figure 11 (a) The result of interpolation onto a uniformly sampled grid($\Delta x$ = 25 meters). (b) the spectrum of (a)