基于三角元法计算三度体球冠模型的重力异常

提出利用高斯公式将体积分变成包围该积分域的全表面积，应用一系列三角形拟合计算表面，然后通过格林公式把对每个三角形的面积分变成对三角形每边的线积分之和的三角元法来计算三度体球冠模型重力异常，同时给出了合理的计算方案。计算了均匀密度球冠模型和非均匀密度球冠模型在水平地表面的重力异常，得到了2种模型的平面异常图。最后通过选择均匀密度球体作为误差对比的对象进行误差分析，验证了该方法的可行性以及计算结果的可靠性。

THE CALCULATION OF GRAVITY ANOMALY OF THE THREE DIMENSIONAL SPHERE-CORONAL MODEL BASED ON THE TRIANGLE ELEMENT METHOD

This paper puts forward the triangle element method for calculating gravity anomaly of three-dimensional sphere-coronal model by using the divergence theorem. In this study, the volume integration was changed into surface integral, a series of triangles were used to fit the surface, and then the Green’s formula was adopted to change surface integral into line integral. At the same time, a reasonable calculation program was given. The surface gravity anomalies of homogeneous and non-homogeneous density sphere-coronal models were calculated and, as a result, the planar anomaly maps of the two models were drawn. An error analysis has proved the effectiveness and reliability of this method.