基于三层变尺度等效源的离散重力数据重构
Reconstruction of Discrete Gravity Data Using Three-Tier Equivalent Sources with Variable Sizes

离散重力测量数据的重构是重力数据分析和处理中最重要的方法之一.等效源方法作为一种有效且稳定的重构方法，受到国内外学者的关注.基于位场理论，提出了三层变尺度等效源方法的技术方案，可有效恢复测量数据中长波长范围的信息，实现对离散重力数据的高精度重构，进而保障了在重力场重构基础上的重力梯度计算.详细地讨论了三层变尺度等效源的设置以及优化反演计算的过程，通过二维和三维理论模型试验，展示了方法的有效性及相对单层等效源方法的优势，并通过广西某地区实际重力测量数据的应用，验证了方法的抗噪能力和实用性.
Reconstruction of discrete gravity data is an important technique in data analysis and processing. As an effective and stable approach of reconstruction, Equivalentsource method has still been the interest of geoscientists. In this paper, the frame of multisize equivalent-sources distributing in three layers is proposed based on the theory of potential field. This approach can effectively recover long-wavelength information in observed data and is capability to realize the high-precision reconstruction, so that gravity gradients can be calculated accurately on the basis of the achieved equivalentsources. Issues on settings of three-layer equivalent sources with variable sizes and the optimization of inversion algorithm are discussed in the work. The experiments of 2D and 3D models show the effectiveness and the advantage of the method relative to the reconstructed results using single-layer equivalent-source method. The real data example from a region of Guangxi, China, is applied and its result illustrates that the method has good noise suppression and practicability