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从目前的研究来看,二阶垂直导数(X和Y两个方向)的求解方法较简单,它采用的五个因子的数字滤波的最小二乘法来优化数据。但是在较小区域面积时(对工程和环境应用中的重力数据),重力异常很容易放大和被区域重力场掩盖,我们认为产生的缘由是表示重力场的x和y方向上的二次多项式引起的。因此,为了逼近重力水平方向的偏导可以设计一个好的滤波器来拟合在xy平面的重力场值,再得出想要的重力垂直方向偏导,文中最后对提出的方法在前人经典模型上和野外实践进行了验证。
From the current research point of view, the second-order vertical derivative (X and Y directions) solution method is relatively simple, it uses the five factors of the digital filter least squares method to optimize the data. However, in the case of small area (gravimetric data for engineering and environmental applications), gravity anomalies can easily be magnified and masked by regional gravitational field. We think the reason for this is that the quadratic polynomial in the x and y directions of the gravitational field caused. Therefore, in order to approximate the partial derivative in the horizontal direction of gravity, a good filter can be designed to fit the gravitational field in the xy plane and then derive the desired partial gravity in the vertical direction. Finally, Models and field practices were validated.