测量系统差对大地水准面精度影响分析

Analysis of the Influence of Measurement System Error on the Geoid

从边值理论出发,推导了顾及 Stokes 核函数改化的观测值系统误差传播公式,基于超高阶重力场模型设计了仿真试验,以定量分析顾及核函数改化的重力异常系统差对大地水准面计算精度影响。仿真试验结果表明,重力异常系统差对大地水准面的影响表现为系统性特征,顾及核函数改化的 Stokes 积分公式能显著改进大地水准面计算精度,即使重力异常系统误差达 3 mGal,大地水准面精度也优于 1 cm,这些成果将为大地水准面精化工程的方案优化和质量评估提供有益参考。

Based on the theory of boundary value,the error propagation formula of the observation system considering the Stokes kernel function modification model is derived. The simulation experiment is designed based on the ultra-high-order gravity field model to quantitatively analyze the influence of the calculation accuracy of the gravity anomaly system error to the geoid considering the kernel function modification. The simulation results show that the influence of gravity anomaly system error on the geoid is systematic.The Stokes integral formula that takes into account the kernel function modification can significantly improve the accuracy of the geoid.Even if the gravity anomaly system error reaches 3mGal,the geodetic accuracy is also better than 1cm. These results will provide a useful reference for the optimization and quality assessment of the geoid refinement project.