Prestack Multi-Gather Simultaneous Inversion of Elastic Parameters Using Multiple Regularization Constraints

Abstract

Inversion of Young’s modulus, Poisson’s ratio and density from pre-stack seismic data has been proved to be feasible and effective. However, the existing methods do not take full advantage of the prior information, without considering the lateral continuity of the inversion results, and need to invert the reflectivity first. In this paper, we propose multi-gather simultaneous inversion for pre-stack seismic data. Meanwhile, the total variation (TV) regularization, L₁ norm regularization and initial model constraint are used. In order to solve the objective function contains L₁ norm, TV norm and L₂ norm, we develop an algorithm based on split Bregman iteration. The main advantages of our method are as follows: (1) The elastic parameters are calculated directly from objective function rather than from their reflectivity, therefore the stability and accuracy of the inversion process can be ensured. (2) The inversion results are more accordance with the geological prior information. (3) The lateral continuity of the inversion results are improved. The proposed method is illustrated by theoretical model data and experimented with a 2-D field data.

Keywords

elastic parameter / pre-stack inversion / multi-gather / regularization

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