应用Slepian局部谱方法解算中国大陆重力场球谐模型

发布时间：2018-06-15 04:16

本文选题：时空局部化方法 + Slepian函数　；参考：《测绘学报》2017年08期

【摘要】：根据经典的球谐函数方法,为满足正交化要求,观测数据需要覆盖整个球面,而对于地表局部测量数据,则无法应用球谐方法解算重力场模型。针对此问题,采用Slepian局部谱分析方法解算中国大陆范围内的实测重力场变化数据,并以GOCE卫星球谐函数解作为已知模型,评估由于实际陆地重力测点的非均匀分布对球谐函数解的误差影响。通过计算多个阶次中国大陆局部范围的Slepian基函数分布;采用GOCE卫星获得重力场模型的前72阶球谐系数作为已知结果,评价实际测点非均匀分布的解算有效性,并针对中国大陆地区采用Slepian基函数进行解算,通过模型对比选择最优截段项数;针对2005—2008年中国大陆地区流动重力测量获得的重力场变化信号进行解算,获得了72阶重力场变化模型。
[Abstract]:According to the classical spherical harmonic function method, in order to meet the requirements of orthogonalization, the observed data need to cover the whole sphere, but the spherical harmonic method cannot be used to solve the gravity field model for the local surface measurement data. In order to solve this problem, the Slepian local spectrum analysis method is used to calculate the measured gravity field variation data in the mainland of China, and the spherical harmonic function solution of GOCE satellite is taken as the known model. The error of spherical harmonic function is evaluated because of the non-uniform distribution of actual terrestrial gravity points. By calculating the Slepian basis function distribution in the local range of the Chinese mainland with multiple orders, and using the GOCE satellite to obtain the first 72 order spherical harmonic coefficients of the gravity field model as the known results, the validity of the calculation of the non-uniform distribution of the actual measured points is evaluated. The Slepian basis function is used to solve the problem, and the optimal section number is selected by comparing the models, and the gravity field variation signal obtained from the flow gravimetry in the mainland of China from 2005 to 2008 is calculated. The variation model of 72 order gravity field is obtained.
【作者单位】：中国地震局地球物理研究所;中国科学院地质与地球物理研究所;
【基金】：科技部地震行业科研专项(201508006;201508009) 中国地震局地球物理研究所基本科研业务专项(DQJB16A05;DQJB16B07) 川滇国家地震监测预报实验场项目(2016CESE0202)~~
【分类号】：P223

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