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The Iranian height datum offset from the GBVP solution and spirit-leveling/gravimetry data

机译:来自GBVP解决方案和水平仪/重力测量数据的伊朗高度基准偏移

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The gravity potential of the zero point of the Iranian height datum (IRHD) is determined as well as the IRHD offset from a global geoid. For this purpose, the geodetic boundary value problem (GBVP) solution based on the remove-compute-restore (RCR) technique is used. In the RCR technique, a global geopotential model (GGM) is required as a reference to remove and restore the long wavelengths of the gravity field. Since the GGMs do not have adequate accuracy over Iran, the IRHD offset is not precisely estimated by the GBVP solution. In this study, aiming to improve the latter, a combination solution based on the GBVP approach and spirit-leveling/gravimetry (LG) data, called the GBVP_LG solution, is proposed. To obtain the GBVP_LG solution, gravity potential obtained from the GBVP solution and the gravity potential differences derived from the LG data are used as two types of observations in a least-squares adjustment. The proper relative weight matrices are determined using the variance component estimation method. To evaluate the proposed method, the gravity potential differences between the start and end points of several check-lines in the leveling network derived from the GBVP and GBVP_LG solutions are compared with those of the LG data. The results show that the dependency of the GBVP_LG solution on the reference model used is much less than that of the GBVP solution. In addition, the results indicate that the GBVP_LG solution has a 42% improvement with respect to the GBVP solution in terms of root-mean-square error. As a result of the GBVP_LG solution, the gravity potential of the IRHD zero point is estimated equal to W0IRHD=62,636,855.89 +/- 0.16m2/s2. Therefore, the IRHD offset with respect to the geoid defined by W0=62,636,853.4="0.166667m2/s2 is obtained equal to ="0.16666725.4 +/- 1.6="0.166667cm, which means that the IRHD is 25.4cm below the geoid.
机译:确定伊朗高度基准(IRHD)零点​​的重力势以及IRHD与全局大地水准面的偏移量。为此,使用了基于删除-计算-还原(RCR)技术的大地边界值问题(GBVP)解决方案。在RCR技术中,需要全局地势模型(GGM)作为去除和恢复重力场长波长的参考。由于GGM在伊朗的精度不高,因此GBVP解决方案无法准确估算IRHD偏移量。在本研究中,为了改进后者,提出了一种基于GBVP方法和水平仪/重力(LG)数据的组合解决方案,称为GBVP_LG解决方案。为了获得GBVP_LG解,将从GBVP解获得的重力势和从LG数据得出的重力势差用作最小二乘平差中的两种观测值。使用方差分量估计方法确定适当的相对权重矩阵。为了评估所提出的方法,将在水准网络中从GBVP和GBVP_LG解决方案得出的多条检查线的起点和终点之间的重力势差与LG数据进行了比较。结果表明,GBVP_LG解决方案对所用参考模型的依赖性远小于GBVP解决方案。此外,结果表明,就均方根误差而言,GBVP_LG解决方案相对于GBVP解决方案有42%的改进。作为GBVP_LG解决方案的结果,IRHD零点的重力势能估计等于W0IRHD = 62,636,855.89 +/- 0.16m2 / s2。因此,相对于由W0 = 62,636,853.4 = “ 0.166667m2 / s2”定义的大地水准面的IRHD偏移量等于= “ 0.16666725.4 +/- 1.6 = ” 0.166667cm,这意味着IRHD为25.4cm在大地水准面以下。

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