基于约束最小二乘理论的复杂岩性测井识别方法

引入约束最小二乘算法对测井响应方程进行线性优化,建立了针对复杂岩性地层多矿物地层组份测井解释模型以及线性约束最小二乘问题模型CFEA,基于现代矩阵分解和变换理论给出了求解,求取了线性约束最小二乘问题的算法,处理精度和计算速度得到进一步的提高.计算的测井曲线包括补偿密度、补偿中子、声波时差、深侧向电阻率、浅侧向电阻率以及无铀伽马曲线,待求的未知参数包括孔隙度、泥质含量、白云岩含量、灰岩含量等地层组份及含水饱和度等地层参数.应用于四川碳酸盐岩地层测井资料数字处理,处理结果表明,应用该算法进行测井资料岩性识别,运算速度快,识别精度高,具有很好的应用前景.

Logging Identification of Complicated Lithology with Constrained Least Square Algorithm

A practical constrained least square(CLS) algorithm is introduced to solve logging identification problem of complicated lithology.Log interpretation model with multi-mineral components formation and model of CLS problem are built,steps and algorithm of solving the CLS problems are introduced in detail,and the models and algorithm are used to digitally interpret the logging data of carbonate rock in Sichuan.Application results show that the algorithm has faster computing speed and higher discriminating precision, so that it has great application potential in logging lithology identification.