High-Order Radial Derivatives of Harmonic Function and Gravity Anomaly

作     者：Ziqing Wei 

作者机构：Xian Research Institute of Surveying and Mapping Xian 710054 China 

出 版 物：《Journal of Physical Science and Application》 (物理科学与应用（英文版）)

年 卷 期：2014年第4卷第7期

页      面：454-467页

学科分类：081801[工学-矿产普查与勘探] 081802[工学-地球探测与信息技术] 07[理学] 08[工学] 0818[工学-地质资源与地质工程] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Harmonic function gravity anomaly gravity disturbance high-order radial derivative analytical continuation. 

摘      要：The first through ninth radial derivatives of a harmonic function and gravity anomaly are derived in this paper. These derivatives can be used in the analytical continuation application. For the downward continuation of gravity anomaly, the Taylor series approach developed in the paper is equivalent theoretically to but more efficient and storage-saving computationally than the well-known gradient operator approach. Numerical simulation shows that Taylor series expansion constructed by the derived formulas for the radial derivatives of gravity disturbance is still convergent for height up to 4 km.