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

本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，开发改进的技术来推导重力场的时空结构，并在ITG重力场恢复软件包中实施这些改进，以从原始的一级观测中确定精确的具有区域焦点的全球重力场模型，最重要的是SPP1257的各个提案。将重力场产品同化到选定区域的海洋学、水文学、冰川学和地球物理模式中。地球系统中各种质量输运现象是区域有界的，质量分布的不均匀性反映在地理上不同的重力场泛函中。这些功能产生不同强度的信号，可以通过新型重力和测高卫星的创新传感器进行高精度检测。因此，基于GRACE双卫星的视距观测和GOCE重力梯度任务的观测功能，需要通过量身定制的建模和分析技术推导重力场的区域时空结构。将时空定域基函数模拟的区域重力场结构一致地嵌入到基准参考平均全球解中，与spp1257各项目提供的相应的海洋、水文、冰川和地球物理模型进行同化。从测高卫星以及地面和空中重力场测量得到的其他观测资料应一致地纳入同化程序。从数学的观点出发，研究引力势拉普拉斯方程解的严格局域性与本征非局域性的差异。除了这些用空间定位基函数进行重力场区域模拟的基本数学问题外，还应发展算法，以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递现象。

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.