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二维直流电测深反演中雅克比矩阵算法的改进及应用

Improvement and application of Jacobian matrix for 2D resistivity sounding fast inversion

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【作者】 李耐宾刘海飞程志平

【Author】 LI Nai-bin~1,LIU Hai-fei~2,CHENG Zhi-ping~1(1.Department of Resources and Environmental Engineering,Guilin University of Technology,Guilin 541004,China;2.School of Info-physics and Geomatics Engineering,Central South University,Changsha 410083,China)

【机构】 桂林工学院资源与环境工程系中南大学信息物理工程学院桂林工学院资源与环境工程系 广西桂林541004长沙410083广西桂林541004

【摘要】 对于常规的直流电测深法,由于其电极距一般以近似等对数间隔逐渐增大,使得网格单元剖分呈现出不规则性.与高密度电阻率法测量装置对比,其对电极的利用率较低,仅几个电测深点的反演就需要很长的时间.为此,在反演过程中,将互换原理和Broyden的近似计算方法相结合来计算雅克比矩阵,在不降低反演精度的情况下,可以大大减少反演时间.通过对模拟数据和实测数据进行反演试算,验证了该计算方法是可行的.

【Abstract】 In the traditional resistivity sounding method,the pole distance increases little by little with equal logarithm interval,which brings on grid irregular elements.In comparison with the HD measured configuration,it can’t make full use of all poles.It takes much longer time to inverse only several sounding points,and in the calculation of partial derivatives Jacobian matrix.So in the inversion,the partial derivatives of the apparent resistivity is calculated with respect to model resistivity by means of the relationship between the source and receiver locations and Broyden’s method,to save the inversion time and satisfy the inversion precision.It is proved that the algorithms of this paper is workable through inversing the modeling data and practical data.

【关键词】 二维反演电测深雅克比矩阵
【Key words】 2D inversionresistivity soundingJacobian matrix
【基金】 广西科学研究与技术开发项目(桂科攻0428006-17)
  • 【文献出处】 桂林工学院学报 ,Journal of Guilin University of Technology , 编辑部邮箱 ,2006年04期
  • 【分类号】P631.322
  • 【被引频次】3
  • 【下载频次】336
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