| 基于最小二乘配置法和奇异值截断法向下延拓航空重力数据的仿真研究 |
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| 引用本文： | 欧阳永忠,陆秀平,黄谟涛.基于最小二乘配置法和奇异值截断法向下延拓航空重力数据的仿真研究[J].海洋测绘,2010(Z1):1-6. |
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| 作者姓名： | 欧阳永忠 陆秀平 黄谟涛 |
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| 作者单位： | 武汉大学 测绘学院,湖北 武汉 430079 ；海军海洋测绘研究所,天津 300061;海军海洋测绘研究所,天津 300061 ；海军工程大学 导航工程系,湖北 武汉 430033 |
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| 摘 要： | 基于最小二乘配置法建立的航空重力异常与其相应地面重力异常的协方差函数,由于协方差矩阵严重病态,观测误差被放大从而影响向下延拓结果的稳定性和精度;引入基于 GCV 法选择正则化参数的奇异值截断法后,能抑制协方差矩阵的病态性对观测噪声的放大影响。 基于 EGM2008 重力场模型分别计算陆地和海域的航空重力异常作为基础数据,用本文方法向下延拓获取相应的地面重力异常,实验结果验证该方法的有效性。
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| 关 键 词： | 航空重力数据 向下延拓 最小二乘配置法 奇异值截断法 |
Simulation Research on LSC and TSVD in Downward Continuation of Airborne Gravity Data |
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| OUYANG Yong-zhong,LU Xiu-ping,HUANG Mo-tao.Simulation Research on LSC and TSVD in Downward Continuation of Airborne Gravity Data[J].Hydrographic Surveying and Charting,2010(Z1):1-6. |
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| Authors: | OUYANG Yong-zhong LU Xiu-ping HUANG Mo-tao |
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| Abstract: | Based on the LSC method (Least-squares collocation) to build the covariance function between the air gravity anomaly and the corresponding floor gravity anomaly. Because its covariance matrix is ill-posed, and the observation errors are magnified by the small singular values of the covariance matrix,so the collocation result is unsteady and low-accuracy. This paper presents the regulation algorithm into the LSC method. Using the GCV method (generalized cross-validation) to choose the regulation parameter,the magnifying effect that the relative small singular values give to the observation errors is suppressed. Based on the EGM2008 gravity model, the gravity anomalies are calculated in land region and ocean region. Using this method to downward continue the airborne gravity anomaly,the simulation results have clearly shown significant quality advantages. |
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