| Hermite多尺度函数在普通电阻率测井模式匹配法中的应用 |
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| 引用本文： | 邢光龙,刘伟宁.Hermite多尺度函数在普通电阻率测井模式匹配法中的应用[J].燕山大学学报,2011,35(3):245-251. |
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| 作者姓名： | 邢光龙 刘伟宁 |
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| 作者单位： | 燕山大学信息科学与工程学院,河北秦皇岛,066004 |
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| 基金项目： | 河北省自然科学基金资助项目(D2008000767) |
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| 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。
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| 关 键 词： | Hermite多尺度函数 有限元法 模式匹配法 普通电阻率测井 |
Application of Hermite multiscalets in mode-matching method for normal resistivity logging |
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| XING Guang-long,LIU Wei-ning.Application of Hermite multiscalets in mode-matching method for normal resistivity logging[J].Journal of Yanshan University,2011,35(3):245-251. |
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| Authors: | XING Guang-long LIU Wei-ning |
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| Institution: | XING Guang-long,LIU Wei-ning(College of Information Science and Engineering,Yanshan University,Qinhuangdao,Hebei 066004,China) |
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| Abstract: | 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 multisca... |
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| Keywords: | Hermite multiscalet finite element method mode-matching method normal resistivity logging |
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