| 地球外部扰动重力严密改化模型及分析检验 |
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| 引用本文： | 黄谟涛,邓凯亮,吴太旗,欧阳永忠,陈欣,熊雄,刘敏,王许.地球外部扰动重力严密改化模型及分析检验[J].地球物理学报,2022,65(3):924-938. |
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| 作者姓名： | 黄谟涛 邓凯亮 吴太旗 欧阳永忠 陈欣 熊雄 刘敏 王许 |
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| 作者单位： | 海军研究院,天津300061;自然资源部海洋环境探测技术与应用重点实验室,广州 510300,海军研究院,天津300061,自然资源部海洋环境探测技术与应用重点实验室,广州 510300,391001部队,北京100830 |
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| 基金项目： | 国家自然科学基金项目(41804011,41706111,41774021);国家重点研发计划(2016YFB0501704,2016YFC0303007);军科委173项目(2019-JCJQ-ZD-017)共同资助。 |
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| 摘 要： | 直接积分模型是计算地球外部扰动重力的主要数学工具,将全球积分模型改化为局域积分模型是实现地球外部重力场赋值的前提条件.相比表层积分模型和向上延拓积分模型,Stokes积分模型要求的输入信息种类最少,故在减轻数据保障压力方面具有比较明显的优势.在实施Stokes积分模型工程化应用过程中,我们发现扰动重力径向分量积分模型从...
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| 关 键 词： | 地球外部扰动重力 模型改化 不连续性 奇异积分 积分恒等式 精度评估 |
Analysis and test on the rigorous modification models for computing the external disturbance gravity |
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| HUANG MoTao,DENG KaiLiang,WU TaiQi,OUYANG YongZhong,CHEN Xin,XIONG Xiong,LIU Min,WANG Xu.Analysis and test on the rigorous modification models for computing the external disturbance gravity[J].Chinese Journal of Geophysics,2022,65(3):924-938. |
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| Authors: | HUANG MoTao DENG KaiLiang WU TaiQi OUYANG YongZhong CHEN Xin XIONG Xiong LIU Min WANG Xu |
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| Institution: | (Naval Research Institute,Tianjin 300061,China;Key Laboratory of Marine Environmental Survey Technology and Application,Ministry of Natural Resources,Guangzhou 510300,China;91001 Troops,Beijing 100830,China) |
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| Abstract: | Direct integral model is a major mathematical tool for calculating the disturbance gravity outside the earth.It is a prerequisite for realizing the computation of external gravity field to transform a global integral model to a local integral model.Compared with the surface layer integral model and the upward continuation integral model,the Stokes integral model requires the least types of input information,so it has obvious advantages in meeting the requirements of gravity data.When realizing the engineering application of the Stokes integral model,we find that there exists a serious discontinuity in the integral model for computing the radial component of disturbance gravity from the external space to the boundary surface.We analyze and point out the reason for the discontinuity of the model on the boundary surface,and propose a correction method to maintain its continuity.In view of the integral singularity problem of the three-component calculation models and the theoretical flaws of the traditional modification method,we suggest a comprehensive remove-restore transformation to the integral model based on an equation of integral identity,and a step-by-step modification process to the global integration models for the three-component disturbance gravity according to the measured data conditions.Then a set of step-by-step modification formulae of the three-component integration models are derived,and a corrected formula to compensate the omission of the traditional modification model is proposed.The ultra-high-degree geopotential model EGM2008 is used as a standard potential field to carry out a set of numerical calculation test,and the calculation accuracy of step-by-step modified models of the three-component disturbance gravity is estimated and evaluated.It is shown that adopting the rigorous modified model is necessary and effective. |
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| Keywords: | The external disturbance gravity Model modification Discontinuity Singular integration Integral identity Accuracy evaluation |
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