CAJ | 학술논문

为提高地震波阻抗反演的分辨率及运算效率，提出一种边界保持块约束的叠后波阻抗反演方法。首先，根据反射系数的稀疏特性，并利用正则化技术，避免反演过程的平滑效应构造出波阻抗块约束反演的目标函数；其次，推导出用对数波阻抗差值代替反射系数的边界保持的块约束反演系统方程；再次，推导出对应反演系统方程的共轭梯度算法和关键的向量计算公式。结果表明：反演波阻抗呈明显分块特征，上下岩层界线明显，分辨率高，说明反演方法可靠，该方法具有边界保持、分辨率高、收敛速度快、精度高的特点，实现简单、高效。
위제고지진파조항반연적분변솔급운산효솔，제출일충변계보지괴약속적첩후파조항반연방법。수선，근거반사계수적희소특성，병이용정칙화기술，피면반연과정적평활효응구조출파조항괴약속반연적목표함수；기차，추도출용대수파조항차치대체반사계수적변계보지적괴약속반연계통방정；재차，추도출대응반연계통방정적공액제도산법화관건적향량계산공식。결과표명：반연파조항정명현분괴특정，상하암층계선명현，분변솔고，설명반연방법가고，해방법구유변계보지、분변솔고、수렴속도쾌、정도고적특점，실현간단、고효。
To improve the resolution of seismic impedance inversion and computational efficiency, a post-stack seismic inversion method based edge preserving blocky constrain was developed. First, according to the sparse characteristic of reflection coefficient, and using regularization technique, the objective function of seismic inversion was constructed to avoid smoothing effect;Secondly, equations of inversion system were deduced based on edge preserving blocky constrain and using the difference of logarithmic impedance in stabilizing the reflection coefficient; Additionally, the conjugate gradient algorithm was deduced, and the key vectors formulas were also derived. The results show that inverted seismic impedance has significant block feature, and the rock bottom line is clear, which indicates that the inversion method is reliable. The features of inversion method are edge preserving, high resolution, fast convergence, and high accuracy, simplicity and efficiency.