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Thanks to the support of the National Natural Science Foundation of China (No.41474099) and Shanghai Natural Science Foundation (No.14ZR1442900). We appreciate Sergey Fomel, Paul Fowler, Chenlong Wang and Tengfei Wang for helpful discussions in the later period of this study. Constructive comments by Richard Bale, Alexey Stovas, Joe Dellinger and an anonymous reviewer are much appreciated. We thank SEG and BP for making the 2D TTI model available, and the authors and developers of Madagascar for providing resources for reproducible computational experiments.