We would like to thank Jianwei Ma and Sergey Fomel for fruitful discussions about compressive sensing and the seislet transform. We also thank Jyoti Behura and one anonymous reviewer for constructive suggestions that improve the manuscript greatly. This research is supported by the National Natural Science Foundation of China (Grant No.41274137), the National Science and Technology of Major Projects of China (Grant No. 2011ZX05019-006), and National Engineering Laboratory of Offshore Oil Exploration.