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. Sparse receiver sampling, narrower acquisition aperture, and limited bandwidth of the wavefield often lead to underestimation of the amplitude of the offset image. Based on the Green’s function of the Gaussian superposition integral representation, the diagonal Hessian can be computed explicitly The inverse of Gaussian beam migration is applied directly to the least squares offset in the model space.The correctness and validity of the diagonal Hessian display algorithm based on Gaussian beam is verified by the numerical experiments of the constant velocity model, The algorithm uses the least-squares offset from the EAGESEG salt model data and the actual data to generate the amplitude-balanced imaging results, especially in weak illumination and shaded areas.