The gradiometric-geodynamic boundary value problem
The gradiometric-geodynamic boundary value problem
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DOI：
10.1007/3-540-26932-0_61
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发表时间：
2005
影响因子：
2
通讯作者：
G. Tóth
中科院分区：
文献类型：
--
作者：
G. Tóth
重力梯度的作用进行了研究的框架内的大地测量地球动力学边界值问题。Eötvös张量的时间变化可以分为三个部分。第一部分是地表运动项，第二部分是原点重力场的时间变化，第三部分是耦合项。第一项和第三项可以通过重力位的三阶导数张量来计算。重力梯度与重力测量相比有一个优点，即某些重力梯度组合对场地移动不敏感，因此无需重复测量高度即可确定重力场的时间变化。用扭力天平的重力梯度重复测量给出了相应的梯度-地球动力学边值问题的解，用简单的质量密度模型进行了几次试验计算，分析了重力梯度的时间变化，并给出了它们各自大小的估计。
The role of gravity gradients is investigated in the framework of geodetic-geodynamic boundary value problems. The time variation of the Eötvös tensor can be separated into three parts. The first part is a surface movement term, the second is the time variation of the gravity field in the original point, and the third is a coupling term. The first and third terms can be computed by a third order derivative tensor of the gravity potential. These terms can be formulated in spherical and planar approximation.Gravity gradients have the advantage over gravity measurements that certain gravity gradient combinations are insensitive to site movements, thereby allowing the time variation of the gravity field to be determined without repeated height measurements. The solution of the corresponding gradiometric-geodynamic boundary value problem is shown with repeated gravity gradient measurements of the torsion balance.Several test computations with a simple mass density model were performed in order to analyze the time variation of gravity gradients and give estimates of their respective magnitudes.