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标量拟解析近似方法模拟立方体的异常电场

THE SCALAR QUASI-ANALYTICAL METHOD MODELING FOR ANOMALOUS ELECTRICAL FIELD OF THE ANOMALOUS CUBE

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【作者】 张金会孙建国张亚东

【Author】 ZHANG Jin-hui1,2,3,SUN Jian-guo1,2, ZHANG Ya-dong4 ( 1. College of Geoexploration Science and Technolgy, Jilin University, Changchun 130026, China;2. Laboratory of Integrated Geophysical Interpretation Theory, Ministry of Land and Resources, Changchun 130026, China; 3. Geological Exploration Technologies Institute of Anhui Province Energy Exploration Center, Bangbu 233005, China; 4. Exploration Department of Changqing Oil Field Company, Xi’an 710021, China).

【机构】 吉林大学地球探测科学与技术学院国土资源部应用地球物理综合解释理论开放实验室安徽省勘查技术院长庆油田公司勘探部

【摘要】 拟解析近似方法是一种求解积分方程的一种近似方法,它可以处理强散射或者大扰动的电磁散射问题,在计算过程中避免了传统微分数值方法解决问题时所遇到的大型矩阵或大型代数方程组的求解。孙建国[5]将其引入直流电场的积分方程中,并给出了求解异常电场积分方程的标量拟解析近似公式。在以前的研究中,已经验证了均匀场中异常球体的拟解析近似解的精度,这里对均匀场中的立方体异常体进行数值模拟,得到了直流电场中异常立方体模型的标量拟解析近似解。由于复杂地电模型可以用立方体的组合进行模拟,因此对立方体异常电场拟解析近似解的研究,为三维直流电场中复杂地电模型的快速正反演模拟打下了基础。

【Abstract】 The Quasi-analytical method is an approximation method for solving the integral equations which can deal with problems of strong scattering or large disturbing. In the process of calculation, it avoids the solving of the large matrix and the team algebraic equations, which was always encountered in the traditional differential coefficient methods. Sun J introduce this method into solving of the D.C. electric field integral equations, and he put forward the academic formulas.In the previous research, we had validated the precision of this method. In this paper we calculated the anomalous cube in the symmetrical field, got the Quasi-analytical solution of cube model. Due to the complex model decomposing into some cubes, the study of the cube model can pave way for the quasi-analytical method used in fast forward and inverse modeling of the complex model in the 3D D.C. electric field.

【基金】 国家自然科学基金项目“40574052”;国家高技术研究发展计划(863)(2006AA06Z109);国家重点基础研究发展计划(973)(2007CB209603)
  • 【文献出处】 物探化探计算技术 ,Computing Techniques for Geophysical and Geochemical Exploration , 编辑部邮箱 ,2011年02期
  • 【分类号】P631.3
  • 【下载频次】83
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