地震波叠前逆时偏移——模型分析与应用
Seismic Wave Pre-Stack Reverse-Time Migration——Model Analysis and Application

摘要: 根据地震波逆时偏移技术与常规克希霍夫和单程波深度成像技术的算法差异，开展了针对逆时偏移方法关键技术的若干问题分析。从理论模型的脉冲响应出发，理清了低频背景逆时噪声的成因机理，采用上下行波波场分离相关逆时成像条件实现有效压制；采用基于扩散滤波的拉普拉斯算子实现了低频背景逆时噪声的横向相对保幅压制处理，其效果要优于常规的高通滤波方法；对比分析了不同阶数声波方程1D逆时偏移处理的成像波形差异以及与克希霍夫结果的差异。计算结果表明，综合考虑逆时噪声和波形差异成因及其对应的解决方法，在实际陆地地震资料逆时偏移中取得了较好的应用效果。

Abstract: According to the algorithmic difference between the seismic wave reverse-time migration technology and the conventional Kirchhoff integral method’s depth migration and one-way wave depth migration technology, we carry out several analyses of key problem on specific aspects of the reverse-time migration method. The paper starts from the theoretical model’s impulse response, and finds out the origin mechanisms of the low-frequency reverse-time noise, effectively weakening the low-frequency noise by using correlative reverse-time imaging condition with up/down going wave-field separation processing. The low-frequency reverse-time noise is eliminated afterward with relatively horizontal-amplitude preserved Laplacian operator based on diffusion filter, and this method’s processing effect is better than that of conventional high-pass filter method. What’s more, 1D reverse-time migration is carried out using different order acoustic wave equations together with 1D Kirchhoff depth migration. The computational results show that perfect application results are achieved in the reverse-time migration processing of practical land’s seismic data by considering the above factors.

参考文献

[1]	陈可洋 (2009) 高阶弹性波波动方程正演模拟及逆时偏移成像研究. 硕士论文, 大庆石油学院, 大庆.
[2]	陈可洋 (2010) 地震波逆时偏移方法研究综述. 勘探地球物理进展, 3, 153-159.
[3]	刘红伟, 李博, 刘洪, 等 (2010) 地震叠前逆时偏移高阶有限差分算法及GPU实现. 地球物理学报, 7, 1725- 1733.
[4]	Yoon, K. and Marfurt K.J. (2006) Reverse-time migration using the Poynting vector. Exploration Geophysics, 1, 102- 107.
[5]	Guitton, A., Kaelin, B. and Biondi, B. (2006) Least-square attenuation of reverse-time-migration artifacts. Geophysics, 72, S19-S23.
[6]	Liu, F.Q., Zhang, G., Morton, S.A., et al. (2007) Reverse-time migration using one way wavefield imaging condition. SEG Technical Program Expanded Abstracts, 26, 2170-2174.
[7]	Zhang, Y. and James, S. (2009) Practical issues of reverse time migration: True amplitude gathers, noise removal and harmonic source encoding. First Break, 26, 29-35
[8]	刘红伟, 刘洪, 邹振 (2010) 地震叠前逆时偏移中的去噪与存储. 地球物理学报, 9, 2171-2180.
[9]	杨仁虎, 常旭, 刘伊克 (2010) 叠前逆时偏移影响因素分析. 地球物理学报, 8, 1902-1913.
[10]	陈可洋 (2011) 基于拉普拉斯算子的叠前逆时噪声压制方法. 岩性油气藏, 5, 87-95.
[11]	康玮, 程玖兵 (2012) 叠前逆时偏移假象去除方法. 地球物理学进展, 3, 1163-1172.
[12]	陈康, 吴国忱 (2012) 逆时偏移拉普拉斯算子滤波改进算法. 石油地球物理勘探, 2, 249-255.
[13]	陈可洋 (2009) 标量声波波动方程高阶交错网格有限差分法. 中国海上油气, 4, 232-236.
[14]	陈可洋 (2010) 地震波数值模拟中差分近似的各向异性分析. 石油物探, 1, 19-22.
[15]	陈可洋 (2010) 完全匹配层吸收边界条件研究. 石油物探, 5, 472-477.
[16]	陈可洋 (2010) 边界吸收中镶边法的评价. 中国科学院研究生院学报, 2, 170-175.
[17]	陈可洋 (2011) 网格剖分及其精度和计算量分析. 内陆地震, 1, 12-20.
[18]	陈可洋 (2011) 数值模拟的尺度调节机理. 内陆地震, 4, 321-328.
[19]	Song, J.Y., Zheng, X.D., Qin, Z., et al. (2011) Multi-scale seismic full waveform inversion in the frequency-domain with a multi-grid method. Applied Geophysics, 4, 303-310.