CAJ | 학술논문

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。
전기시전조솔적구해시순변전자법진행지질반연적관건배절。침대정하순변전자법중전기시전조솔적은함수특점，인진비선성함수구근적우돈법，급출료정하전기시전조솔적우돈구해법급기산법보취。동시환여이분법주료비교，설명우돈법여이분법일양，가이만족구해전기시전조솔적임의정도요구，병차우돈법비이분법구유경쾌적수렴속도。
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.