针对卫星重力梯度数据,推导了全球线质量模型的基本方程以及线质量调和分析的基本公式;研究了基于卫星重力梯度径向实数分量、水平复数分量和全张量3类情况下的线质量模型的方程及其最小二乘解,完整地给出了线质量调和分析公式。线质量调和分析法具有点质量调和分析法的消除离散误差、可联合处理多类型数据等诸多优点,又因顾及了不同埋藏深度、有分频段的作用而优于点质量法。用模拟数值验证了线质量调和分析方法的可行性和有效性。
Targeting at the new type data called gravity gradient,the basic formulae and equations of the global line mass model and harmonic analysis are derived.The line mass models based on radius real component,horizontal complex component and full tensor are studied,so are the least squares solutions.The harmonic analysis formulae of line mass models are shown completely,which have various advantages such as eliminating the disperse errors and dealing with multi-types data compared with point mass harmonic analysis.The line mass method is better than the point mass method as the former is with consideration of different depths and with various frequencies.Finally,the availability and validity are proved through simulation experiments.