THE INTERPRETATION OF MAGNETIC ANOMALIES △T
Author(s): HOU CHUNG-CH’U
Pages: 324-328
Year: 1964 Issue: 4
Journal: Chinese Journal of Geophysics
Keyword: 磁异常; 解析延拓; 磁测; 共轭调和函数; 复变函数理论; 二度; 黎曼; 柯西; 斜磁化; 激发体;
Abstract: It is proved, for the two-dimensional question, that the general expression of total intensity △T has the same form as the vertical intensity Z. There is a possibility to consider the anomaly curves △T as Z. Therefore by use of the Cauch-Riemann’s condition in the theory of function of a complex variable we may from anomaly curves △T calculate its so called "negative harmonic conjugate function" () which is corresponding to the anomaly curves H. It is indicated that interpretation of the magnetic data may be facilitated by ussing () together with its original function △T. Two examples of application are given: 1) the calculation of the magnetic moment and its inclination for two-dimensional bodies from △T and AT; 2) downward analytical continuation of △T by use of values of △T and △T on the horizon of observation.
Pages: 324-328
Year: 1964 Issue: 4
Journal: Chinese Journal of Geophysics
Keyword: 磁异常; 解析延拓; 磁测; 共轭调和函数; 复变函数理论; 二度; 黎曼; 柯西; 斜磁化; 激发体;
Abstract: It is proved, for the two-dimensional question, that the general expression of total intensity △T has the same form as the vertical intensity Z. There is a possibility to consider the anomaly curves △T as Z. Therefore by use of the Cauch-Riemann’s condition in the theory of function of a complex variable we may from anomaly curves △T calculate its so called "negative harmonic conjugate function" () which is corresponding to the anomaly curves H. It is indicated that interpretation of the magnetic data may be facilitated by ussing () together with its original function △T. Two examples of application are given: 1) the calculation of the magnetic moment and its inclination for two-dimensional bodies from △T and AT; 2) downward analytical continuation of △T by use of values of △T and △T on the horizon of observation.
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