摘要
模式匹配法是普通电阻率测井的一种有效的半数值、半解析的正演方法。在使用有限元法进行数值解时,基函数的选取十分重要,它影响着计算的速度和精度。Hermite多尺度函数具有正交性、高阶逼近和一阶偏导数在节点连续等特性,本文在解决数值本征模式解时,将Hermite多尺度函数作为形函数,并对其进行了改进。在不同介质的地层模型中进行验证,实验结果表明将该函数作为有限单元的形函数,电流在节点处连续并且计算精度大大提高。
Numerical mode-matching method is a method for normal resistivity logging which is an effective semi-numerical,semi-analytic way forward.The selection of basis function is very important when the finite element method is used in numerical solution,which affects the speed and accuracy of the calculation.Hermite multiscale functions have many good characteristics such as or-thogonal,higher order approximation and first order partial derivatives continuous in the node and so on.In this article,Hermite multiscale functions are used as the shape functions,and are improved.This method is demonstrated in the different o layer models of the normal resistivity logging.The experiments demonstrated that the current is continuous at the node and the calculation pre-cision is improved significantly.
出处
《燕山大学学报》
CAS
2011年第3期245-251,共7页
Journal of Yanshan University
基金
河北省自然科学基金资助项目(D2008000767)
