Exploration Geophysics Exploration Geophysics Society
Journal of the Australian Society of Exploration Geophysicists
RESEARCH ARTICLE

An efficient interpolation approach for insufficient 3D field data

Bona Kim 1 Soocheol Jeong 2 Joongmoo Byun 1 4 Young Kim 3
+ Author Affiliations
- Author Affiliations

1 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 - https://doi.org/10.1071/EG16105
Submitted: 2 September 2016  Accepted: 3 September 2016   Published online: 19 October 2016
Originally submitted to KSEG 7 April 2016, accepted 30 August 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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