A least-squares minimization approach to depth determination from magnetic data

被引：39

作者：

Abdelrahman, ESM ^{[1
]}

El-Arby, HM ^{[1
]}

El-Arby, TM ^{[1
]}

Essa, KS ^{[1
]}

机构：

[1] Cairo Univ, Fac Sci, Dept Geophys, Giza, Egypt

来源：

PURE AND APPLIED GEOPHYSICS | 2003年 / 160卷 / 07期

关键词：

magnetic interpretation; simple structures; least-squares method;

D O I：

10.1007/s000240300005

中图分类号：

P3 [地球物理学]; P59 [地球化学];

学科分类号：

0708 ; 070902 ;

摘要：

We have developed a least-squares minimization approach to depth determination from magnetic data. By defining the anomaly value T(0) at the origin and the anomaly value T(N) at any other distance (N) on the profile, the problem of depth determination from magnetic data has been transformed into finding a solution to a nonlinear equation of the form f(z)=0. Formulas have been derived for a sphere. horizontal cylinder, dike, and for a geologic contact. Procedures are also formulated to estimate the effective magnetization intensity and the effective magnetization inclination. A scheme for analyzing the magnetic data has been formulated for determining the model parameters of the causative sources. The method is applied to synthetic data with and without random errors. Finally, the method is applied to two field examples from Canada and Arizona. In all cases examined, the estimated depths are found to be in good agreement with actual values.

引用

页码：1259 / 1271

页数：13

共 17 条

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[Anonymous], 1986, NUMERICAL RECIPES C

[2]

Gay P., 1963, Geophysics, V28, P161, DOI [10.1190/1.1439164, DOI 10.1190/1.1439164]

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