Wave impedance inversion based on TV regularization and Toeplitz-sparse matrix factorization
Wang Zhiqiang1,2, Cao Siyuan1,2, Chen Hongling1,2, Sun Xiaoming1,2, Fan Ping3
1. College of Geophysics and Information Engineering, China University of Petroleum(Beijing), Beijing 102249, China; 2. State Key Laboratory of Petroleum Resource and Prospecting, China University of Petroleum(Beijing), Beijing 102249, China; 3. Liaohe Branch, BGP Inc., CNPC, Panjin, Liaoning 124000, China
Abstract：The total-variation (TV) constraint is applied to the wave impedance inversion through the non-Gaussian distribution of wave impedance sections and Toeplitz structure of seismic wavelet convolution matrix,which can suppress random noise and retain the discontinuity on impedance sections.The seismic wavelet can be expressed as sparse representation by Toeplitz sparse matrix factorization.As low frequency seismic components is lost,which fails to obtain the low frequency background of the wave impedance,we take well logging or horizon interpretation information as constraints with the least square method.The constrained optimization objective function can simultaneously invert wavelet and wave impedance.Seismic sections processed by the proposed approach have better accuracy,better transverse continuity,and less noise than conventional inversions.
王治强, 曹思远, 陈红灵, 孙晓明, 樊平. 基于TV约束和Toeplitz矩阵分解的波阻抗反演[J]. 石油地球物理勘探, 2017, 52(6): 1193-1199,1245.
Wang Zhiqiang, Cao Siyuan, Chen Hongling, Sun Xiaoming, Fan Ping. Wave impedance inversion based on TV regularization and Toeplitz-sparse matrix factorization. Oil Geophysical Prospecting, 2017, 52(6): 1193-1199,1245.
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