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1975年、1976年格林和斯坦利发表了求二维接触面参数的一个方法。本文试图在他们工作的基础上,用空间域滤波来代替格林和斯特利用差商求水平导数和用希尔伯特变换求垂直导数的方法。文中给出了应用空间域滤波计算重、磁异常水平和垂直导数的方法。模型试验证实了理论上的推断。与差商和希尔伯特变换方法相比,优点在于它既能同时滤掉高频干扰,又能使求得的垂直导数和水平导数具有相同的精度,进而提高反演结果的精确度。
In 1975, 1976, Green and Stanley published a method to find two-dimensional interface parameters. Based on their work, this paper attempts to use spatial domain filtering instead of Green’s and Stere’s method to find the horizontal derivative and the Hilbert transform to find the vertical derivative. In this paper, we give a method to calculate the level of gravity and magnetic anomalies and the vertical derivative using spatial domain filtering. Model tests confirm the theoretical inference. Compared with the difference quotient and the Hilbert transformation method, the advantage is that it not only can filter out the high-frequency interference at the same time, but also can make the obtained vertical derivative and the horizontal derivative have the same precision, thereby improving the accuracy of the inversion result.