[an error occurred while processing this directive] 高校地质学报 2002, 8(3) 241-247 DOI:     ISSN: 1006-7493 CN: 32-1440/P

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起伏地形位场快速延拓新方法
徐世浙1, 戴世坤2, 兰 翔1
1. 浙江大学地球科学系,杭州 310027; 2. 石油大学地球科学系,北京 102200
摘要: 将起伏地形上的测点垂直投影至水平面上,并将地形上的位场u放在水平面的对应点上,这样就有一个平面上的假想位场u。用快速傅立叶变换(FFT)计算平面位场的垂向导数δu/δn,将这个垂向导数移至地形的对应点上,近似作为地形上的位的垂向导数δu/δn。根据Green公式,从地形上的位u和位的法向导数δu/δn,用积分的方法可计算地形上部任一点的位。在计算出地形上部一个平面上的位后,可用FFT迅速计算其它平面的位,包括与地形相交的平面上的位。在通常的位场延拓方法中,如用等效源法解一个线形代数方程组要需用很大内存量,要耗去大量计算时间。本方法的主要特点是省略了解线形代数方程组的步骤,从而大大节约计算时间。模型计算表明,本方法的计算精度是令人满意的。用本方法对航磁实际资料进行延拓,取得较好的效果。
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A New Fast Method for Continuation of Potential Field on an Undulate Terrain
XU Shi-zhe1, DAI Shi-kun2, LAN Xiang1
1. Department of Geosciences, Zhejiang University, Hangzhou 310027, China; 2. Department of Geosciences, Petroleum University, Beijing 102200, China
Abstract: Vertically projecting the observation point at a undulate terrain onto a horizontal plane and copying the potential at the terrain to the corresponding point at the horizontal plane,we get a fictitious potential field on a horizontal plane.An FFT is then can applied to calculate the outward normal derivativ a u/ n of the potential u on the horizontal plane.The calculated derivativeis u/ n is used approximately as the outward normal derivative of u/ n of the potential on the terrain.Based on the potential u and the normal derivativeon the terrain,Green’s formula is used to calculate the potential u at an arbitrary point above the terain.When the potential u at a level above the terrain is obtained,an FFT is used again to calculate the potential u at other level above the sources of the potentia1.The other method of continuation of potential field,e.g.,the equivalent source method, requires solving a large set of linear algebraic equations that take a hefty amount of computer memory and expends considerably the computation time.This method does not require solving algebraic equations and is of a high computation speed.The model tests demonstrated that the accuracy of this method is satisfactory.Using this method to continue the practical aeromagnetic anomaly shows a good result.
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收稿日期 2002-09-20 修回日期 2002-09-20 网络版发布日期  
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