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The choice of the parameterization may influence the final waveform inversion result. An analysis based on radiation patterns can be carried out before a multi-parameter inversion. One approach is to favor the parameterizations that reduce the overlapping between the radiation patterns. While this limits the cross-talk, each parameter is sensitive to only a certain angle range. In complex geological structures, where shadow zone occur, it may become difficult to avoid inversion artefacts due to the irregular angle coverage at each sub-surface point. Another approach is to favor a parameterization containing a parameter with a full angle sensitivity. This choice may help us to reduce the inversion artefacts due to the irregular angle coverage in the recovery of the parameter with the full-angle sensitivity. The other parameters may be less well recovered depending on the angle coverage at the sub-surface point.
In this presentation, we analyse a complex land VTI elastic synthetic example. The results indicate that the parameterization containing a full-angle-sensitivity parameter is superior. This study also shows that it is important to analyse the angle coverage at each sub-surface point together with the radiation patterns.