An efficient interpolation approach for insufficient 3D field data
Bona Kim 1 Soocheol Jeong 2 Joongmoo Byun 1 4 Young Kim 31 Department of Earth Resources and Environmental Engineering, Hanyang University, Haengdang 1-dong, Seongdong-gu, Seoul 133-791, Korea.
2 Korea Institute of Geoscience and Mineral Resources, Convergence Research Center for Development of Mineral Resources, Daejeon 34132, Korea.
3 YK Geophysics LLC, 174 Elk Pass Road, WA 98382, USA.
4 Corresponding author. Email: jbyun@hanyang.ac.kr
Exploration Geophysics 49(1) 58-67 https://doi.org/10.1071/EG16105
Submitted: 2 September 2016 Accepted: 3 September 2016 Published: 19 October 2016
Abstract
Complete three-dimensional (3D) land seismic data are often difficult to acquire due to physical or financial limitations. Therefore, in recent years, interpolation techniques with 3D field data have played an important role in seismic data processing. To improve the efficiency of interpolation for insufficient 3D field data, we developed a new interpolation process that applies two-dimensional curvelet transform-based projection onto convex sets (POCS) to the kx-ky transformed data of each time slice of 3D data. Additionally, to acquire accurate interpolation results with the proposed new method, we designed the preparation process to render the input data irregularly distributed with small-sized gaps. We found that the interpolation results of our proposed new method were similar to those using a 3D curvelet transform-based POCS method, with reduced computational cost. The quality of the stacked images of sparsely sampled 3D field data was significantly enhanced by applying our interpolation approach.
Key words: curvelet transform, imaging processing, interpolation, projection onto convex sets (POCS).
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