Local phase filters as the tilt derivative (TDR) and the horizontal tilt derivative (TDX) are extensively used to interpret magnetic data. We use two combinations of these filters, namely TDR − TDX and TDR + TDX, to design a constraining mask that guides the Euler deconvolution moving data window. The TDR − TDX filter produces sharp peaks over the centers of the sources, while the TDR + TDX filter generates plateaus over them. Motivated by previous approaches that make use of the Laplacian filter or the analytic signal to constrain the Euler deconvolution window, we compute the solutions for windows centered at points that (1) have positive values of TDR − TDX and (2) are contained in the plateaus of TDR + TDX. The use of both criteria improves the selection of source-related points while reducing the number of spurious ones. Our method is tested in synthetic anomalies due to interfering dike-like sources and field data from southeast Brazil. The experiments show that the use of a constraining mask based on combined tilt filters produce Euler solutions that are more contiguous and less sensitive to noise than the traditional located-Euler deconvolution.

中文翻译：

---

通过组合倾斜导数滤波器约束欧拉解卷积解

作为倾斜导数 (TDR) 和水平倾斜导数 (TDX) 的局部相位滤波器被广泛用于解释磁数据。我们使用这些滤波器的两种组合，即 TDR - TDX 和 TDR + TDX，来设计引导 Euler 反卷积移动数据窗口的约束掩码。TDR - TDX 滤波器在源的中心产生尖峰，而 TDR + TDX 滤波器在它们上面产生平台。受先前利用拉普拉斯滤波器或解析信号来约束欧拉解卷积窗口的方法的启发，我们计算了以 (1) 具有正 TDR - TDX 值和 (2) 包含在点中的窗口的解TDR + TDX 的平台期。这两个标准的使用改进了源相关点的选择，同时减少了虚假点的数量。由于干扰了来自巴西东南部的类堤源和现场数据，我们的方法在合成异常中进行了测试。实验表明，与传统的定位欧拉解卷积相比，使用基于组合倾斜滤波器的约束掩码产生的欧拉解更连续，对噪声的敏感度更低。