摘要
本文基于位场向下延拓的最优步长积分迭代法,通过结合当前迭代步骤得到的迭代信息,经过推导得到了一种新的改进的最优步长积分迭代法迭代形式。此种改进迭代法的实质是将最优迭代法的一步迭代分为两步迭代,且每次迭代过程都使用积分迭代法的迭代形式,因此迭代过程中的计算量并没有明显增加,其收敛性同最优步长积分迭代法。理论模型及实测数据的对比试验表明,改进迭代法的收敛速度和延拓精度均优于最优步长积分迭代法、泰勒级数迭代法和导数迭代法。
We propose in this paper an improved optimal step-length integral iterative method.Based on the optimal integral iteration method for potential field downward continuation,we use the information in the current iterative step of the iteration method to modify the iteration scheme.The essence of this improved iterative method is divided one-step iteration into two-step iterations,and each iterative process uses the same iterative form of the integral iteration method.Therefore,the calculation amount of the improved iterative method is not increased significantly,and the convergence is the same as the optimal iteration method.The comparison analysis of theoretical model and real gravity data shows that the continuation precision of the improved iteration method is more accurate than that of the other methods,such as optimal steplength integral iteration,the Taylor series iteration and the derivative-iteration.
出处
《石油地球物理勘探》
EI
CSCD
北大核心
2014年第2期382-387,223,共6页
Oil Geophysical Prospecting
基金
国家自然科学基金项目(40974037)
41374154
陕西省自然科学基金项目(2011jm5001)联合资助
关键词
位场
向下延拓
积分迭代法
最优步长
potential field,downward continuation,integral iteration method,optimal step-length
