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Multi-trace post-stack seismic data sparse inversion with nuclear norm constraint

Dai Ronghuo, Zhang Fanchang, Yin Cheng, Hu Ying

Acta Geophysica

2021

Vol. 69, no. 1

53--64

Among many seismic inversion methods, the sparse spike inversion for post-stack seismic data uses the migrated and stacked seismic data which is regarded as zero ofset refection seismic data in the case of normal incidence to extract refectivity and impedance of underground rocks. The seismic refectivity and impedance can refect underground rocks’ lithology, petrophysical property, oil–gas possibility, and so forth. However, the common used post-stack seismic inversion adopts single trace in the process of inversion and completes the whole data cube’s inversion through trace by trace. It cannot use lateral regularization. Hence, the lateral continuity of single trace inversion result is poor. It is difcult to represent the lat eral variation features of underground rocks. Based on the conventional sparse spike inversion, the nuclear norm of matrix in the matrix completion theory is introduced in the process of post-stack seismic inversion. At the same time, the strategy of multi-trace seismic data simultaneous inversion is used to carry out lateral regularization constraint. Numerical tests on 2D model indicate that the inversion results obtained from the proposed method can clearly represent not only the vertical variation features but also the lateral variation features of underground rocks. At last, the inversion results of real seismic data further show the feasibility and superiority of the proposed method in practical application.

Stable absorption compensation with lateral constraint

Ma Xiong, Li Guofa, Li Hao, Li Jiaojiao, Fan Xu

Acta Geophysica

2020

Vol. 68, no. 4

1039--1048

The presence of seismic absorption distorts seismic record and reduces seismogram resolution, which can be partially compensated by application of absorption compensation algorithms. Conventional absorption compensation techniques are based on 1D forward model with each seismic trace being compensated independently. Therefore, the 2D results combined by each compensation trace may be noisy and discontinuity. To eliminate this issue, we extend the 1D forward model to the 2D forward system and further add an additional lateral constraint to the compensation algorithm for enforcing the lateral continuity of the compensated section. Solving the proposed laterally constrained absorption compensation (LCAC) problem, we simultaneously obtain the multiple compensated traces with lateral smoother transition and higher signal-to-noise ratio (S/N). We testify the efectiveness of the proposed method by applying both synthetic and feld data. Synthetic data examples demonstrate the superior performance of the LCAC algorithm in terms of improving algorithmic stability and protecting lateral continuity. The feld data tests further indicate its ability to not only improve seismic resolution, but also inhibit the amplifcation of high-frequency noise.