Velocity Model Estimation Using Combination of Robust Tikhonov and Robust TV Regularizations
M. Alrajawi, H.R. Siahkoohi and A. Gholami
Event name: 79th EAGE Conference and Exhibition 2017
Session: Velocity Model Estimation - Theory A
Publication date: 12 June 2017
Info: Extended abstract, PDF ( 1.67Mb )
Price: € 20
A variety of methods have been presented to invert arrival times of seismic waves for velocity distribution. In real world, the velocity distribution models are piecewise smooth and consist of blocky structures as well as smooth varying parts. In this study we propose a method to minimize a cost function consists of robust versions of both Tikhonov and TV regularizations (hereafter called robust Tikhonov-TV regularization). The method is capable of suppressing undesired effects of the erratic noises and recovering both blocky and smooth varying parts of the model. To demonstrate the effectiveness of the method, it is tested on both synthetic and real vertical seismic profiling (VSP) arrival times as well as on a real cross well arrival times. The proposed robust Tikhonov-TV method estimates better velocity model as compared to the robust Tikhonov and robust TV regularization methods. According to the results, the proposed hybrid method efficiently eliminates the individual weaknesses of constituent regularization methods.