Source-independent frequency-domain full waveform inversion based on data similarity
XIN Tianliang1, HUANG Jianping1, XIE Fei1,2, ZHOU Bing3, LU Zizhuo1
1. School of Geosciences, China University of Petroleum(East China), Qingdao, Shandong 266580, China; 2. East China Branch, Sinopec, Nanjing, Jiangsu 210011, China; 3. CNOOC(China) Tianjin Company, Tianjin 300452, China
Abstract：In terms of single-frequency data features in frequency domain,we formulate an objective function (SOD) in complex number field,which is similar to the function describing data similarity in real number domain,to mitigate the non-linearity of inversion.This method is practical because amplitude matching between synthetic data and observed data becomes less important.The source wavelet is naturally avoided in the objective function; besides,the reference trace is not required.But for standard trace normalized (STN) full waveform inversion,the convergence may slow down or even suspend if the reference trace is not properly estimated.Model tests show that ① SOD inversion is independent of source wavelet,and it is superior to additional two source-independent algorithms (average trace normalized (ATN) and STN) in the accuracy of inversion; ② SOD inversion is based on data similarity,and it is tolerant to energy discrepancies between different data sets; thus,the inversion is less dependent on the initial velocity model; ③ random noises may account for similar proportions in the numerator and denominator through multiply and add operations.This means that the objective function of SOD is robust; ④ SOD could be integrated with source encoding to effectively improve computational efficiency.
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