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提出将广义岭估计用于求解航空重力向下延拓病态问题。研究求解逆Poisson积分问题的三种正则化方法:Tikhonov正则化、岭估计和广义岭估计。利用EGM2008地球位模型设计模拟数值实验,将飞行高度处含白噪声的2.5′×2.5′重力扰动向下延拓至大地水准面上,与参考值作外部检验,全面检验、比较各向下延拓方法的可靠性、精度和稳定性。数值结果表明基于多个最优正则化参数的广义岭估计在延拓精度、稳定性和抗差性等方面表现良好。 更多还原

【Abstract】 Generalized ridge estimate is suggested for solving the ill-posed problem in downward continuation(DWC) of airborne gravity.Three regularization methods are studied to solve the inverse Poisson problem,which are Tikhonov regularization,ridge estimate and generalized ridge estimate.By conducting a simulated numerical experiment designed based on EGM2008 Earth gravitational model,the 2.5′×2.5′gravity disturbances with white noise at the flight levels are downward continued to the Geoid.The accurac... 更多还原