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    两种逆时偏移成像算法研究

    • 摘要: 基于双程波动方程的逆时偏移是一种精度较高的成像方法,能够处理全波型且不受地层倾角限制,实现复杂构造的准确成像。然而,传统全存储震源波场的策略在每个时刻反复读写磁盘,不仅占用大量存储空间,更因频繁的I/O操作导致显著延迟,严重地制约着计算效率。针对该问题,有两种存储策略对传统的成像算法进行优化:一是根据Nyquist采样定理对震源波场进行抽样存储,以减少I/O读写次数;二是仅存储有效边界波场并在反传过程中实时重构震源波场。本文系统地分析了上述两种优化成像算法,结果表明二者均能降低存储需求,显著提升计算效率。数值算例表明,两种算法的成像精度基本一致,抽样存储震源波场时需合理设置存储的间隔,能够在满足成像需求的同时提高计算效率,而边界波场重构策略则需占用更多的GPU显存,在使用GPU加速计算大型三维模型时需合理选择成像算法。

       

      Abstract: Reverse time migration based on the two-way wave equation is a high-precision imaging method capable of handling full wavefields without being constrained by formation dip angles, thereby enabling accurate imaging of complex structures. However, the conventional strategy of storing the entire source wavefield requires repeated disk read/write operations at each time step, which not only consumes substantial storage but also introduces significant I/O latency, imposing severe constraints on computational efficiency. To address this issue, two storage strategies have been proposed to optimize the traditional imaging algorithm: one involves downsampling the source wavefield based on the Nyquist sampling theorem to reduce I/O frequency, and the other stores only the effective boundary wavefield and reconstructs the source wavefield during backpropagation. This paper systematically analyzes both optimized imaging algorithms, demonstrating that both can effectively reduce storage requirements and significantly enhance computational efficiency. Numerical examples show that the imaging accuracy of the two algorithms is basically the same. When sampling and storing the source wave field, the storage interval needs to be reasonably set, which can improve the computational efficiency while meeting the imaging requirements. However, the boundary wave field reconstruction strategy requires more GPU video memory. When using GPU to accelerate the calculation of large 3D models, the imaging algorithm needs to be reasonably selected.

       

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