论重力网的优化设计

ON OPTIMUM DESIGN OF THE REPEATED GRAVITY NETWORK

本文运用可靠性理论,通过可控性数值和未被发现的粗差对平差未知数影响的向量长度,分析了重力网的可靠性。根据优化设计原理,建立了重力网观测精度与经费的关系式。讨论了在一定经费范围内的重力网二类优化问题,认为在一定经费指标下,可以通过改善观测方案来加强网的可靠性。最后应用本文的方法对沂沭带中、北段的安丘重力网进行了实例计算。

In this paper, by means of the concept of reliability,the reliability of repeated gravity network is analysed based on the controlability value and the vector length of the influence of undetected gross error on the balancing values. By making use of the optimum design theory, the relationship between the observational accuracy and the cost is established and the second-optimum design of repeated gravity network under a range of cost is also discussed. It is shown that the reliabilities can be enhanced by improving our observation scheme under a range of the cost. Finally, the instance computed from the Anqiu gravity network is given using the method.