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本文提出一种等效源法,用这种方法可以对形状不规则的重力和磁力数据作向上延拓。地形起伏的偶极层可近似为多面体的面,接收点相当于三角面的顶点。偶极子的值呈线性,为三角形的法向矢量。考虑到每个偶极子面顶点法向矢量的不连续性,适当修改积分方程就可得到每点的偶极子值。另外,我们还研究了数据处理问题。当地形起伏严重干扰磁场时,我们用数字测试说明了模型的精度和限制问题。
In this paper, an equivalent source method is proposed. With this method, the gravity and magnetic data with irregular shape can be extended upward. Topographic undulating dipole layer can be approximated as a polyhedron surface, the receiving point is equivalent to the apex of the triangular surface. The value of the dipole is linear and is the normal vector of the triangle. Taking into account the discontinuity of the normal vectors at the vertices of each dipole surface, the dipole value at each point can be obtained by appropriately modifying the integral equation. In addition, we also studied data processing issues. When the local ups and downs severely disturb the magnetic field, we used numerical tests to demonstrate the accuracy and limitations of the model.