arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2206.09231physics.geo-pheess.SP
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基于数据驱动降阶模型的压缩感知地震波场重建

Seismic Wavefield Reconstruction based on Compressed Sensing using Data-Driven Reduced-Order Model

Takayuki Nagata, Kumi Nakai, Keigo Yamada, Yuji Saito, Taku Nonomura, Masayuki Kano, Shin-ichi Ito, Hiromichi Nagao

摘要:

提出了一种基于数据驱动降阶模型的压缩感知地震波场重构框架,并通过数值实验研究了其特性。数据驱动ROM是使用奇异值分解从波场的数据集生成的。利用稀疏离散观测数据和数据驱动的ROM重构空间连续的地震波场,利用基于贪婪算法的线性反问题传感器优化方法有效地选择用于重构的观测点。将该框架应用于具有水平分层三层地下结构的理论波形模拟数据。基于无噪声观测的重建结果验证了该方法的有效性。由于ROM的波场被用作先验信息,重建误差被降低到本框架的近似误差下限,即使用于重建的传感器的数量是有限的,随机选择的。此外,所提出的框架得到的重建误差是远远小于高斯过程回归得到的。对于具有噪声污染观测的数值实验,重建的波场由于观测噪声而退化,但是由本框架获得的具有所有可用观测点的重建误差接近误差下限,即使使用高斯过程回归的重建波场完全崩溃。虽然重建误差大于使用所有观测点获得的误差,但是通过将其与传感器优化方法相结合,可以减少用于重建的观测点的数量,同时使重建数据的劣化和分散最小化。

英文摘要:

A seismic wavefield reconstruction framework based on compressed sensing using the data-driven reduced-order model (ROM) is proposed and its characteristics are investigated through numerical experiments. The data-driven ROM is generated from the dataset of the wavefield using the singular value decomposition. The spatially continuous seismic wavefield is reconstructed from the sparse and discrete observation and the data-driven ROM. The observation sites used for reconstruction are effectively selected by the sensor optimization method for linear inverse problems based on a greedy algorithm. The proposed framework was applied to simulation data of theoretical waveform with the subsurface structure of the horizontally-stratified three layers. The validity of the proposed method was confirmed by the reconstruction based on the noise-free observation. Since the ROM of the wavefield is used as prior information, the reconstruction error is reduced to an approximately lower error bound of the present framework, even though the number of sensors used for reconstruction is limited and randomly selected. In addition, the reconstruction error obtained by the proposed framework is much smaller than that obtained by the Gaussian process regression. For the numerical experiment with noise-contaminated observation, the reconstructed wavefield is degraded due to the observation noise, but the reconstruction error obtained by the present framework with all available observation sites is close to a lower error bound, even though the reconstructed wavefield using the Gaussian process regression is fully collapsed. Although the reconstruction error is larger than that obtained using all observation sites, the number of observation sites used for reconstruction can be reduced while minimizing the deterioration and scatter of the reconstructed data by combining it with the sensor optimization method.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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