利用地球化学测井信息反演岩石矿物含量的一种优化算法

An Optimum Algorithm to Inverse Geochemical Logging Data to the Composition of Rock Materials

给出了由地球化学测井获得的地层元素 （各种氧化物） 丰度反演出岩石矿物含量的一种优化算法。该算法的数学模型是求解有约束条件的方程组问题。求解时将问题转化为求极值函数的最优解。用该算法处理了人造岩心的实验室分析数据， 并将其结果与最小二乘法及遗传算法结果作了对比。结果表明， 所给算法精度较高， 且计算结果不会出现无意义值； 所求极值是全局极小值； 寻优速度快。

An algorithm is presented to inverse the abundance of elements (various oxides) in reservoir derived from geochemical logging data to mineral composition of rocks The algorithm is based on the a mathematical model solving equation group with constraints The problem to be solved are trransformed to determining the optimum solution of extremal The data from analysis on artificial cores in laboratory is processed by the algorithm and its results are compared with that of least square solution and genetic algorithm solution The algorithm is characterized by higher precision with no insignificant value and global minimum and quick optimization