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重力异常垂向一阶导数的一种简便算法
引用本文:刘保华,张维冈,孟恩.重力异常垂向一阶导数的一种简便算法[J].中国海洋大学学报(自然科学版),1995(2).
作者姓名:刘保华  张维冈  孟恩
作者单位:青岛海洋大学,胜利油田物探公司
摘    要:利用拉格朗日插值导出了重力异常垂向一阶导数的计算公式,给出了地面以及地面之上不同高度的求导系数。该公式可以计算地面上的重力垂向一阶导数,还可以直接计算地面之上任意高度上的垂向一阶导数。鉴于该公式除系数不同外,与上延公式完全相同,因此,程序设计尤为简单。使用本公式对模型数据和实际资料进行了处理,证明了本算法的实用性。

关 键 词:重力异常  拉格朗日插值  垂向一阶导数  简便算法

A SIMPLE METHOD FOR CALCULATING THE FIRST VERTICAL DERIVATIVE OF GRAVITY ANOMALY
Liu Baohua, Zhang Weigang,Meng En.A SIMPLE METHOD FOR CALCULATING THE FIRST VERTICAL DERIVATIVE OF GRAVITY ANOMALY[J].Periodical of Ocean University of China,1995(2).
Authors:Liu Baohua  Zhang Weigang  Meng En
Institution:Liu Baohua; Zhang Weigang;Meng En(Ocean University of Qingdao) (Shengli Geophysical Company)
Abstract:Using the Lagrange interpolation, we present a simple formula for calculating the first vertical derivative (FVD) of gravity anomaly and give the coefficients or calculating the FVD on and above the ground. Using this formula we can calCulate the FVD on the ground and at any level above the ground directly. In addition, apart from the difference in coefficients, the formula is identical with that of the upward continuation. therefore it can be programmed very easily. The formula has been used in the procesing of both model data and practical obervation. The results show that the formula is good due to its higher precision and noise immunity.
Keywords:Lagrange interpolation  gravity anomaly  first vertical derivative  
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