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- 2018
顾及地形效应的地面重力向上延拓模型分析与检验
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Abstract:
重力向上延拓在外部重力场逼近和航空重力测量数据质量评估中具有重要应用。本文深入分析研究了6种向上延拓计算模型的技术特点和适用条件，提出了应用超高阶位模型加地形改正、点质量方法结合移去-恢复技术实现“先向下后向上延拓”计算的实施策略，探讨了计算过程特别是前端向下延拓过程的稳定性问题。通过实际数值计算，定量评估了地形质量对不同高度向上延拓结果的影响，对比分析了不同向上延拓模型顾及地形效应的实际效果，同时对向上延拓模型计算精度进行了估计。在地形变化比较激烈的山区，地形质量对向上延拓结果的影响最大可达几十个mGal （10-5m·s-2），当计算高度为10 km时，该项影响超过3 mGal；向上延拓计算模型误差（不含数据误差影响）一般不超过1 mGal；基于超高阶位模型和地形改正信息实施向下延拓过渡的布阿桑（Poisson）积分向上延拓模型，具有计算过程简便、计算结果稳定可靠等优点
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