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 effectiveness of the proposed method by applying both synthetic and field data. Synthetic data examples demonstrate the superior performance of the LCAC algorithm in terms of improving algorithmic stability and protecting lateral continuity. The field data tests further indicate its ability to not only improve seismic resolution, but also inhibit the amplification of high-frequency noise.

中文翻译：

---

具有侧向约束的稳定吸收补偿

地震吸收的存在使地震记录失真并降低了地震图的分辨率，这可以通过应用吸收补偿算法来部分补偿。常规的吸收补偿技术基于一维正演模型，其中每条地震道都是独立补偿的。因此，由每个补偿迹线组合的2D结果可能有噪声且不连续。为消除此问题，我们将1D正向模型扩展到2D正向系统，并进一步向补偿算法添加了额外的横向约束，以强制执行补偿截面的横向连续性。解决了所提出的横向约束吸收补偿（LCAC）问题，我们同时获得了多个补偿轨迹，这些轨迹具有横向更平滑的过渡和更高的信噪比（S / N）。我们通过应用综合数据和现场数据证明了该方法的有效性。综合数据示例证明了LCAC算法在改善算法稳定性和保护横向连续性方面的优越性能。现场数据测试进一步表明，它不仅具有提高地震分辨率的能力，而且还可以抑制高频噪声的放大。