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用样条函数法求重力异常二阶垂向导数和向上延拓计算
引用本文:汪炳柱.用样条函数法求重力异常二阶垂向导数和向上延拓计算[J].石油地球物理勘探,1996,31(3):415-422.
作者姓名:汪炳柱
作者单位:青岛海洋大学地质地球物理研究所, 266003
摘    要:对于二元三次样条函数的插值问题,本文给出了插值系数的求法及利用样条函数求导数、不定积分和定积分的统一计算公式,并用二元三次样条函数对地质模型进行了重力异常二阶垂向导数和向上延拓的计算。模型试其值和理论值的比较结果证明了本文提出的方法精度高且方便实用。

关 键 词:重力数据处理  位场  样条函数  重力异常  垂向导数  延拓  
收稿时间:1995-05-29

Computing the vertical second derivative and upward continuation of gravity anomaly by spline function method
Wang Bingzhu.Computing the vertical second derivative and upward continuation of gravity anomaly by spline function method[J].Oil Geophysical Prospecting,1996,31(3):415-422.
Authors:Wang Bingzhu
Affiliation:Research Institute of Geology and Geophysics, Qingdao Ocean University, Qingdao City, Shandong Province, Postcode:266003
Abstract:As for the interpolation problem of two-variate cubic spline function, I advancemethod for computing interpolation coefficient, and give formulae for computingthe derivative, indefinite integral and definite integral by the spline function. I usethe two-variate cubic spline function to compute the vertical second derivative andupward continuation of gravity anomaly on geology model. Comparison betweenmodel trial values and theoretical values shows that the method is accurate and convenient.
Keywords:gravimetric data processing  potential field  spline function  gravity anomaly  vertical derivative  continuation
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