Iterative parabolic Radon transform for primary and multiple separations
Xie Junfa1, Sun Chengyu1, Han Wengong2
1. School of Geosciences, China University Of Petroleum (East China), Qingdao, Shandong 266580, China;
2. Shengli Oilfield Branch Co., SINOPEC, Dongying, Shandong 257000, China
Abstract：Radon transform is commonly used in the separation of the primary from multiples. After least square parabolic Radon transform in frequency domain, the data in t-x domain is transformed into Radon domain. The Radon transform image reveals spatial truncation effect and the linear events cross-hatching the image. So it is difficult to completely separate the primary from multiples by the conventional method. Therefore we propose iterative parabolic Radon transform in this paper. Selecting data in a small area near the focus of the primary in Radon domain as initial data, we can get new Radon field data after inverse Radon transform and forward Radon transform. Then we conduct iterations in the area of the initial data, and finally obtain primaries with well-preserved amplitude and no multiples. With this method, we can also get multiples without primaries. The correctness and effectiveness of the method is proved by tests on theory model and real data.
