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中文摘要：
稀疏的接收点采样、较窄的采集孔径以及有限的波场带宽等因素导致偏移成像的振幅往往是欠估计的.基于高斯束叠加积分表征的格林函数,可以显示地计算对角Hessian,并将其逆直接应用于高斯束偏移成像,从而实现模型空间的最小二乘偏移.通过常速度模型的数值试验验证了基于高斯束的对角Hessian显示算法的正确性和有效性,将此算法运用到EAGESEG盐丘模型数据和实际资料的最小二乘偏移可以产生振幅均衡的成像结果,尤其在弱照明和阴影区的振幅补偿效果明显.
英文摘要：
Gaussian beam prestack depth migration only produces blurred images with underestimated amplitude caused by sparse receiver sampling, narrow acquisition apertures, and limited wavefields bandwidth. This distortion can be partially corrected by using the model-space least-squares migration approach,where the diagonal Hessian operator is computed explicitly by using Green＇s function as a Gaussian-beam summation and then its inverse is applied to migrated images. The proposed algorithm for computing the diagonal Hessian is verified by using a constant velocity model.When Gaussian beam based diagonal Hessian algorithm is applied to the SEG / EAGE salt synthetic dataset and real data, improved images with more balanced amplitude especially in areas with low illumination and shadow zones are obtained.
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