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。
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.
出处
《物探化探计算技术》
CAS
CSCD
2014年第4期401-404,共4页
Computing Techniques For Geophysical and Geochemical Exploration
基金
广西自然科学基金(201204AA2335)
桂林电子科技大学科研基金(UF11012)
关键词
瞬变电磁法
井下
反演
视电阻率
transient electromagnetic method
undergroud-mine
inversion
apparent resitivity
