| 反插值法实现地球物理数据快速网格化 |
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| 引用本文： | 郭良辉,孟小红,郭志宏,周建军,黄中敏.反插值法实现地球物理数据快速网格化[J].地球物理学进展,2005,20(3):671-676. |
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| 作者姓名： | 郭良辉 孟小红 郭志宏 周建军 黄中敏 |
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| 作者单位： | 1.“地下信息探测技术与仪器”教育部重点实验室, 中国地质大学, 北京 100083;2.中国国土资源航空物探遥感中心, 北京 100083 |
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| 基金项目： | 国家自然科学基金(40274042)，国家专项《我国海洋磁场和重力场精度探测及其军事应用》子课题“磁重数据处理及相关技术研究”联合资助 |
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| 摘 要： | 本文借鉴反演理论，采用反插值法实现地球物理数据的快速网格化.首先由已知点与未知网格点的反距离拓扑关系建立反演方程，用已知点值直接计算出其所在网格的未知网格点值，再利用Laplacian算子滤波，使得模型光滑，且能量最小化.利用预条件共轭梯度法求解网格化方程组，并结合螺旋坐标系思想和Wilson\|Burg谱分解法，将二维数据的滤波处理转换到一维空间进行处理，实现二维数据快速滤波.另外，引入了阻尼约束，保证求解稳定、迭代收敛.最后，应用该方法对合成数据和实际资料进行了试验.
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| 关 键 词： | 反插值 Laplacian算子 预条件共轭梯度 螺旋坐标系 Wilson-Burg谱分解 航磁数据 |
| 收稿时间： | 2004-9-10 |
| 修稿时间： | 2004-11-20 |
Fast gridding of geophysical data with inverse interpolation |
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| GUO Liang-hui,MENG Xiao-hong,GUO Zhi-hong,ZHOU Jian-jun,HUANG Zhong-min.Fast gridding of geophysical data with inverse interpolation[J].Progress in Geophysics,2005,20(3):671-676. |
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| Authors: | GUO Liang-hui MENG Xiao-hong GUO Zhi-hong ZHOU Jian-jun HUANG Zhong-min |
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| Abstract: | Based on inversion theory,inverse interpolation is introduced in this paper to realize fast gridding of geophysical data.First the topological relations between the known points and unknown points are built as a inverse equation,which is used to compute the values of unknown points directly.Then with a filter of Laplacian operator,we make the model smooth and minimize its energy.Preconditioning conjugate-gradient method is used to seek the lease square solution of the gridding system and speed up the solving.To filter two-dimension data rapidly, the ideal of helical coordinate system and the method of Wilson-Burg spectral factorization are employed to unwind two-dimension data into one-dimension and filter them in one-dimension space.Damp constraint is applied to make the solving more stable and iterative divergent.The performance of the technique is illustrated on both synthetic and real data examples. |
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| Keywords: | inverse interpolation Laplacian operator preconditioning conjugate-gradient helical coordinate system wilson-burg spectral factorization aeromagnetic data |
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