Published as IEEE Geoscience and Remote Sensing Letters, 13, no. 11, 1462-1466, (2016)

One-step slope estimation for dealiased seismic data reconstruction via iterative seislet thresholding

Wei Liu% latex2html id marker 1679
\setcounter{footnote}{1}\fnsymbol{footnote}, Siyuan Cao% latex2html id marker 1680
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ootnote}{1}<SPAN CLASS=% latex2html id marker 1681
\setcounter{{}{0}\fnsymbol{{}, Shuwei Gan% latex2html id marker 1682
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\setcounter{{}{0}\fnsymbol{{}, Yangkang Chen% latex2html id marker 1684
\setcounter{footnote}{2}\fnsymbol{footnote}, Shaohuan Zu% latex2html id marker 1685
\setcounter{footnote}{1}\fnsymbol{footnote}, Zhaoyu Jin% latex2html id marker 1686
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\setcounter{footnote}{1}\fnsymbol{footnote}State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Fuxue Road 18th, Beijing, China, 102200, Email: & & &
Jackson School of Geosciences, The University of Texas at Austin, University Station, Box X, Austin, TX 78713-8924, USA, Email:
School of Geosciences, University of Edinburgh, Edinburgh,UK, EH9 3JW, Email:


The seislet transform can be used to interpolate regularly under-sampled seismic data if an accurate local slope map can be obtained. The dealiasing capability of such method highly depends on the accuracy of the estimated local slope, which can be achieved by using the low-frequency components of the aliased seismic data in an iterative manner. Previous approaches to solving this problem have been limited to the unstable estimation of local slope via a large number of iterations. Here, we propose a new way to obtain the slope estimation. We first estimate the NMO velocity and then use a velocity-slope transformation to get the optimal local slope. The new method allows us to avoid the iterative slope estimation and can obtain an accurate slope field in one step. The one-step slope estimation can significantly accelerate the iterative seislet domain thresholding process and can also stabilize the iterative inversion. Both synthetic and field data examples are used to demonstrate the performance by using the proposed approach compared with alternative approaches.