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为了估计由不同构造模型所产生的地磁场变化,提出了采用对二维磁化体进行面积分的新方法。该方法以边界元方法(BEM)和面积分公式相结合为基础。BEM法可对任意形状的磁弹性体进行计算。而面积分技术比体积分公式计算要节省CPU时间。特别是,BEM法可处理含有实际复杂地形的构造磁问题。利用对求解有充分研究的Yukutake模型对新方法进行了检验。利用本方法获得的Yukutake模型计算结果与用数字体积分的计算结果基本一致。该方法同样能应用于考虑起伏地形影响的构造磁问题。地形效应的初步计算表明,模型校正约为1nT左右。
In order to estimate the variation of the geomagnetic field caused by different structural models, a new method of area division of two-dimensional magnetized materials is proposed. The method is based on the combination of the Boundary Element Method (BEM) and Area Formula. BEM method can be calculated for any shape of the magnetic elastomer. The area points than the volume of sub-formula to calculate the CPU time savings. In particular, the BEM method can deal with structural magnetic problems that contain actually complex topography. The new method is tested using the Yukutake model, which has well-studied solutions. The results of Yukutake model obtained by this method are basically the same as those calculated by numerical volume. This method can also be applied to the structural magnetic problem considering the influence of undulating terrain. The preliminary calculation of topographic effect shows that the model calibration is about 1nT.