Tailored regional gravity field models for mass distribution and mass transport phenomena in the Earth system.

针对地球系统中质量分布和质量传输现象定制的区域重力场模型。

• 批准号: 30061016
• 负责人: Professor Dr. Matthias Holschneider
• 金额: --
• 依托单位: Lehrstuhl für Astronomische, Physikalische und Mathematische Geodäsie
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2006
• 资助国家: 德国
• 起止时间: 2005-12-31 至 2010-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/30061016?language=en
• 关键词: Tailored; regional; gravity; field; models

The main task of this proposal is the rigorous mathematical treatment of a localized modelling of geophysical fields, the development of improved techniques to derive the space-time structure of the gravity field, the implementation of these improvements in the ITG Gravity field Recovery Software package to determine precise global gravity field models with regional focus from the original level-1 observations and, most important for the various proposals of this SPP1257, the assimilation of the gravity field products into oceanographic, hydrologic, glaciological and geophysical models referred to selected regions. Various mass transport phenomena in the Earth system are regionally bounded and the inhomogeneous mass distributions are reflected in geographically varying gravity field functionals. These functionals cause signals with varying strength and can be detected with high precision by the innovative sensors of the new gravity and altimetric satellites. Therefore, regional space-time structures of the gravity field shall be derived by tailored modelling and analysis techniques based on the line-of-sight observations of the GRACE twin-satellites as well as on the observational functionals of the gravity gradiometry mission GOCE. The regional gravity field structures modelled by space-time localizing base functions and consistently embedded into a datum referenced mean global solution shall be assimilated with the corresponding oceanographic, hydrologic, glaciologic and geophysical models provided by the various projects of SPP 1257. Alternative observables as derived from the altimetric satellites as well as terrestrial and airborne gravity field measurements shall be integrated consistently into the assimilation procedure. From the mathematical point of view the discrepancy of a rigorous localisation with the intrinsic non-locality of solutions of the Laplace equation for the gravitational potential shall be investigated. Besides these basic mathematical problems of a regional modelling of the gravity field with space-localising base functions algorithms shall be developed to find statistically justified procedures to model the mass distribution and the various mass transport phenomena in the Earth system.

该提案的主要任务是对地球物理场的局部建模进行严格的数学处理，开发推导重力场时空结构的改进技术，在ITG重力场恢复软件包中实施这些改进，以根据最初的第一级观测确定精确的全球重力场模型，并以区域为重点，对于SPP1257的各种建议来说，最重要的是将重力场产品同化到选定区域的海洋学、水文学、冰川学和地球物理学模型中。地球系统中的各种质量输运现象都是有区域边界的，质量分布的不均匀性反映在地理上不同的重力场泛函中。这些泛函产生不同强度的信号，可以由新的重力和高度卫星的创新传感器高精度地检测到。因此，应根据GRACE双星的视线观测以及GOCE重力梯度测量使命任务的观测功能，通过定制的建模和分析技术，推导出重力场的区域时空结构。由时空局部化基函数建模并始终嵌入基准参考平均全球解的区域重力场结构应与SPP 1257各项目提供的相应海洋学、水文学、冰川学和地球物理学模型同化。从测高卫星以及地面和空中重力场测量得出的替代观测值应始终纳入同化程序。从数学观点出发，应研究引力势的拉普拉斯方程解的严格定域性与固有非定域性之间的差异。除了这些基本的数学问题的重力场的区域建模与空间局部化的基础功能算法应制定找到统计上合理的程序来模拟地球系统中的质量分布和各种质量传输现象。