| 位场延拓的积分-迭代法 |
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| 引用本文： | 徐世浙.位场延拓的积分-迭代法[J].地球物理学报,2006,49(4):1176-1182. |
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| 作者姓名： | 徐世浙 |
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| 作者单位： | 浙江大学地球科学系，杭州 310027 |
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| 基金项目： | 浙江省科技厅基金项目（2003201506）和教育部博士点基金项目（20050335090）资助. |
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| 摘 要： | 本文介绍一种新的位场延拓方法——积分-迭代法.将起伏面上的实测位场值，垂直投影至起伏面下部的一个水平面上，作为该水平面上的位场初始值.根据该水平面上的初始值，用积分方法计算起伏面上的位场值.用起伏面上的实测值与计算值的差值，对水平面上的位场值进行校正.如此反复迭代，直至起伏面上的实测值与计算值的差值小到可以忽略.有了水平面上的位场值后，就可以用积分的方法或其他方法计算水平面以上的任意曲面或水平面的位场值.该方法原理简单，不用解线性代数方程组，有较高的计算速度.它特别适用于位场向下延拓，有良好的延拓效果.本文还介绍了积分迭代法的应用实例.
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| 关 键 词： | 航磁异常 位场延拓 积分-迭代法 快速傅里叶变换法 等效源法 |
| 文章编号： | 0001-5733（2006）04-1176-07 |
| 收稿时间： | 2005-10-31 |
| 修稿时间： | 2005-10-312006-04-10 |
The integral-iteration method for continuation of potential fields |
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| XU Shi-Zhe.The integral-iteration method for continuation of potential fields[J].Chinese Journal of Geophysics,2006,49(4):1176-1182. |
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| Authors: | XU Shi-Zhe |
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| Institution: | Department of Earth Sciences, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | This paper presents a new approach to potential field continuation using integral and iteration methods. The values of a potential field measured on an undulate surface as an initial values of the field observed on a horizontal plane that is below the surface. With this initial values on this horizontal plane, the potential field on the surface can be calculated using an integral operator. A correction is then made in the potential field on this horizontal plane based on the difference between the observed and calculated values of potential field on the original surface. The process is iteratively repeated until the corrections become negligible. According to the potential fields on this horizontal plane, we can calculate the potentials on any surface or horizontal plane above this horizontal plane using integral operator or other algorithms. The principle of this method is very simple. It does not require solving algebraic equations and possesses a high computation speed. This method is specially suitable for downward continuation of potential field and achieves good result. Two practical cases are given in this paper. |
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| Keywords: | Aeromagnetic anomaly Continuation of potential field Integral-iteration method FFT Equivalent source method |
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