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| 基于广义补偿最小二乘法的航空重力向下延拓 | |
| 引用本文： | 赵启龙,姚明飞,王俊雷,周庆丰.基于广义补偿最小二乘法的航空重力向下延拓[J].地理空间信息,2013,11(1):31-33,39,12. |
| 作者姓名： | 赵启龙 姚明飞 王俊雷 周庆丰 |
| 作者单位： | 1. 中国地质大学信息工程学院,湖北 武汉,430074 2. 龙门煤业常村煤矿,河南 洛阳,471900 3. 北海市城市信息中心,广西 北海,536000 |
| 基金项目： | 国家自然科学基金资助项目(40974002);国家博士后基金资助项目(2005038362);中央高校专项资金特色学科创新团队资助项目(CUG090110) |
| 摘 要： | 航空重力向下延拓是病态问题,而广义补偿最小二乘法可以很好地克服病态性。研究了基于广义补偿最小二乘法的逆Poisson积分的航空重力向下延拓模型,并设计实验方案,将EGM2008地球位模型计算的重力异常作为仿真实验的数据,分别用最小二乘、Tikhonov正则化、广义补偿最小二乘3种方法求解,对其精度及仿真效果进行比较。结果表明,广义补偿最小二乘方法精度高,对仿真效果有显著提高。 |
| 关 键 词： | 航空重力 向下延拓 广义补偿最小二乘 |
Application of General Compensated Least Squares in Airborne Gravity Data Downward to the Earth Surface |
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| Institution: | ZHAO Qilong |
| Abstract: | Downward continuation of airborne gravity is ill-posed problem,as general compensated least squares solve this problem well.This paper studied general compensated least squares of semiparametric model in downward continuation of airborne gravity.Using Least squares,Tikhonov regulation and General compensated least squares,a simulated numerical experiment was designed based on EGM2008 Earth gravitational model.The accuracy and simulation results of the methods were tested and compared.The results show that general compensated least squares model performs significantly well in this inverse Poisson problem. |
| Keywords: | airborne gravity downward continuation general compensated least squares |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |