阵列声波测井成像迭代算法及仿真研究

利用阵列声波测井中的反射初至波可以对井孔附近目标体速度结构进行成像，采用离散图象重建技术将成像问题经过线性化处理转化为线性方程组的求解。由于其方程组一般是病态、无精确解的，为此探讨了一种求解任意线性方程组的简单、实用的迭代算法以及其收敛J胜，该算法不需矩阵求逆而总能得到最优解。经过一些典型类型的仿真分析，结果表明该算法在处理声波射线数据不足的情况下能获得理想的成像效果。

An Iterative Algorithm and Its Simulation Study in Array Sonic Log Imaging

The sonic imaging can be acquired for the near bore-hole velocity structure by using reflected sonic arrivals in array sonic log. Adopted the discrete image reconstruction technique, the imaging problem can become that of solving system of linear equations by using linear processing. Usually, the system of linear equations has not any accurate solution because it is ill-conditioned. So a simple and practicable iterative algorithm for solving any system of linear equations is given and its convergence is proved, which doesn't need to calculate the inverse matrix and can obtain the optimal solution. Some typical simulation analysis examples show the algorithm can obtain a satisfied imaging effect in the case of less enough data from sonic rays fail to uniformly cover the objective area.