| 井下瞬变电磁法中全期视电阻率的牛顿求解法 |
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| 引用本文： | 曾庆宁,张法全,张海如. 井下瞬变电磁法中全期视电阻率的牛顿求解法[J]. 物探化探计算技术, 2014, 0(4): 401-404 |
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| 作者姓名： | 曾庆宁 张法全 张海如 |
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| 作者单位： | 桂林电子科技大学信息与通信学院; |
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| 基金项目： | 广西自然科学基金(201204AA2335);桂林电子科技大学科研基金(UF11012) |
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| 摘 要： | 全期视电阻率的求解是瞬变电磁法进行地质反演的关键环节。针对井下瞬变电磁法中全期视电阻率的隐函数特点,引进非线性函数求根的牛顿法,给出了井下全期视电阻率的牛顿求解法及其算法步骤。同时还与二分法做了比较,说明牛顿法与二分法一样,可以满足求解全期视电阻率的任意精度要求,并且牛顿法比二分法具有更快的收敛速度。
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| 关 键 词： | 瞬变电磁法 井下 反演 视电阻率 |
Newton algorithm for solving full-time apparent resitivity of underground-mine transient electromagnetic method |
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| ZENG Qing-ning,ZHANG Fa-quan,ZHANG Hai-ru. Newton algorithm for solving full-time apparent resitivity of underground-mine transient electromagnetic method[J]. Computing Techniques For Geophysical and Geochemical Explorationxploration, 2014, 0(4): 401-404 |
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| Authors: | ZENG Qing-ning ZHANG Fa-quan ZHANG Hai-ru |
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| Affiliation: | (College of Information and Telecommunications, Guilin University of Electronic Technology, Guilin 541004) |
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| Abstract: | Solving full - time apparent resitivity is the key step for geological inversion of Transient Electromagnetic Methd （TEM）.In this paper,Newton algorithm for solving the root of non-linear function is introduced and then used for solving the full-time apparent resitivity of underground-mine TEM,according the characteristics of the implicit function of the ap-parent resitivity.Meanwhile,the comparison of Newton algorithm and the bisection algrithm indicates that the present Newton algorithm can approximate the full-time apparent resitivity with any accuracy just like the bisection algorithm,but the Newton algorithm may converge much faster than the bisection algorithm. |
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| Keywords: | transient electromagnetic method undergroud-mine inversion apparent resitivity |
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