The multichannel singular spectrum analysis (MSSA) reconstruction algorithm denoises and reconstructs seismic traces on a regular grid. We have developed a modified version of MSSA that can cope with denoising and reconstruction of traces with irregular coordinates. The proposed method, interpolated multichannel singular spectrum analysis (I-MSSA), connects off-the-grid observations to the desired gridded data via a linear interpolation operator. The algorithm consists of two steps. In the first step, we use the steepest-descent method to estimate the gridded data that honors off-the-grid observations. The second step guarantees convergence to a solution by applying the MSSA filter to the gridded data. The final solution is the reconstructed volume that honors off-the-grid observations. We use the algorithm to process synthetic and field data. We also provide an application in which 3D prestack data corresponding to an orthogonal survey are fully reconstructed using cross-spread gathers. We use I-MSSA to restore each subset individually. The output is a complete seismic volume described in a regular common-midpoint grid.

中文翻译：

---

插值多通道奇异频谱分析：一种尊重真实轨迹坐标的重构方法

多通道奇异频谱分析（MSSA）重建算法对常规网格上的地震迹线进行去噪和重建。我们开发了MSSA的修改版本，可以处理具有不规则坐标的迹线的去噪和重建。所提出的方法，插值多通道奇异频谱分析（I-MSSA），通过线性插值算子将离网观测值与所需的网格数据连接起来。该算法包括两个步骤。第一步，我们使用最速下降法来估算网格化数据，以支持离网观测。第二步通过将MSSA过滤器应用于网格数据，确保收敛到解决方案。最终的解决方案是重现网格，以纪念离网观测。我们使用该算法来处理合成数据和现场数据。我们还提供了一种应用，其中使用交叉分布的聚集完全重建了与正交测量相对应的3D叠前数据。我们使用I-MSSA分别还原每个子集。输出是用常规的公共中点网格描述的完整地震量。