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将理论反射率与偏移反射率的差作为目标函数,给出一种迭代振幅补偿保幅偏移方法.把偏移看作一个反问题,寻找反问题中的最优解.偏移算子是正演算子的伴随共轭,其伴随矩阵非对角占优.通过预条件优化伴随矩阵,使Hessian矩阵准对角化.依据地震波传播稳定相位理论,计算反射点,以反射点为中心、菲涅耳带为半径偏移.考虑振幅几何扩散补偿、散射角度补偿,在迭代反演过程求出最优解,即保幅偏移解.本文给出了一个保幅数值模拟结果和一个实际地震数据实例.
Taking the difference between the theoretical reflectivity and the offset reflectivity as the objective function, an iterative amplitude-compensated amplitude-preserving offset method is given, and the offset is treated as an inverse problem to find the optimal solution in the inverse problem. Is the adjoint conjugate of forward operator, which is associated with the non-diagonal dominance of the matrix. By preconditioning the adjoint matrix, the Hessian matrix is quasi-diagonalized. According to the stable phase theory of seismic wave propagation, the reflection point is calculated, Considering the geometrical dispersion compensation and the scattering angle compensation, the optimal solution is obtained during the iterative inversion, that is, the amplitude-preserving displacement solution.In this paper, we give a numerical simulation result of amplitude-preserved amplitude and an actual earthquake Data instance.