ELASTIC REVERSE TIME MIGRATION BASED ON WAVEFIELD SEPARATION

WANG Wei-Hong, ZHANG Wei, SHI Ying, KE Xuan
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引用次数: 5

Abstract

Compared with other imaging algorithms (e.g., ray-based, one-way wave equation), reverse time migration (RTM) based on the two-way wave equation exhibits greater superiority, especially in handling steeply dipping structures. However, imaging with conventional single-component seismic data is unsuited for some complicated structures (e.g., gas clouds). Elastic RTM, which is based on the elastodynamic equation and uses multi-component seismic data to extract PP and PS reflectivity and subsurface information, can more consistently reproduce the characteristics of elastic wave propagation in real Earth media, resulting in seismic images that more accurately characterize the subsurface. To begin with, we exploit the first order stress-velocity equations to extrapolate the elastic vector wavefield, then the P- and S-wavefields are separated by computing the divergence and curl operator of the extrapolated particle-velocity wavefield. Then, imaging profiles with pure wave modes are computed by applying the source normalized cross-correlation imaging condition, thus avoiding crosstalk between unseparated wave modes. To address the polarity reversal problem of the converted image, we propose an alternative method in the common-shot domain. We also develop an efficient method that reconstructs the source wavefield in the reverse time direction to save storage in the GPU and to avoid large input/output in the elastic reverse time migration. During the forward modeling, the method only saves the particle-velocity wavefield of all time intervals within an efficient absorbing boundary and the total wavefields in the final time interval. When we extrapolate the receiver wavefield in the reverse time direction, we simultaneously reconstruct the total source wavefields via the saved wavefields. Numerical examples performed with the graben and Marmousi2 models have shown that the polarity reversal correction method works, and elastic reverse time migration can accurately characterize complicated structures.

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基于波场分离的弹性逆时偏移
与其他成像算法(如基于射线的单向波动方程)相比,基于双向波动方程的逆时偏移(RTM)具有更大的优势,特别是在处理陡峭倾斜结构时。然而,传统的单分量地震数据成像不适合一些复杂的结构(如气体云)。弹性RTM基于弹性动力学方程,利用多分量地震数据提取PP、PS反射率和地下信息,可以更一致地再现真实地球介质中弹性波的传播特征,从而获得更准确表征地下的地震图像。首先,我们利用一阶应力-速度方程外推弹性矢量波场,然后通过计算外推粒子速度波场的散度算子和旋度算子分离P波场和s波场。然后,应用源归一化互相关成像条件,计算出具有纯波模式的成像剖面,从而避免了未分离波模式之间的串扰。为了解决转换后图像的极性反转问题,我们提出了一种在共拍域的替代方法。为了节省GPU的存储空间,避免弹性逆时偏移时的大输入/输出,我们还开发了一种有效的反向重构源波场的方法。在正演模拟过程中,该方法仅保存有效吸收边界内各时间区间的粒子速度波场和最终时间区间的总波场。当我们在反向时间方向外推接收波场时,我们同时通过保存的波场重建总源波场。用地堑和Marmousi2模型进行的数值算例表明,极性反转校正方法是有效的,弹性逆时偏移能够准确表征复杂构造。
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