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叠前同步反演是以改进的Fatti方程为基础,以纵横波速度比为常数作为约束条件,本文以纵波阻抗与密度关系式及横波阻抗与密度关系式共同作为约束条件,代替V_p/V_s=常数这个约束条件,提出了改进约束条件的Fatti方程,克服了密度受纵波阻抗影响的问题。我们通过数值模拟对比两种方法对密度反演的敏感性,表明本文提出的方法对密度的敏感性明显地得到了改善。此外,采用随机共轭梯度法进行反演,计算相对快速且具有全局寻优解。合成数据及实际数据应用实例表明:本文提出的反演方法对常规岩性及特殊岩性都有效。
The prestack synchronization inversion is based on the modified Fatti equation with the ratio of the S / S ratio as a constraint. In this paper, the relationship between P-wave impedance and density and the relationship between S-wave impedance and density are taken as constraints to replace V_p / V_s = Constant Constituent constraints, the modified Fatti equation is proposed to overcome the problem that the density is affected by the P-wave impedance. We compare the sensitivity of the two methods to density inversion by numerical simulation and show that the sensitivity of the proposed method to density is obviously improved. In addition, the inversion with stochastic conjugate gradient method is relatively fast and has a global optimal solution. The synthetic data and actual data show that the inversion method proposed in this paper is effective for both conventional lithology and special lithology.