海道测量基准面传递的数学模型

Mathematical Models for Hydrographic Datum Transfer

基于平均海面的频谱结构和两验潮站潮位之间的关系模型 ,对基准面传递的方法原理进行了理论研究。给出了水准联测法的假设条件 ;发现了同步改正传递法的异步效应和回归分析传递法的时移效应 ,导出了更精确的传递数学模型 ;并对几种主要方法进行了理论和实例对比分析。研究还表明 :平均海面的回归分析传递法和深度基准面的潮差比传递法均是最小二乘潮位拟合传递法的特殊形式。最小二乘潮位拟合传递法 ,由于采用了更真实的潮位比较数模而具有更高的传递精度。建议在海道测量工作中广泛使用。

Based on the spectrum of Mean Sea Level (MSL) and the relation model between two tidal stations, the mathematical model for hydrographic datum transfer are studied. The hypothesis of Leveling Method for MSL transfer is given. Both the asynchronous effect of Synchronous Reduction Method and the time shift effect of Regression Reduction Method are discovered and more precise models for both above methods developed in this paper. A new model, Least Square Fitting Model from which Regression Reduction Method for MSL transfer and Tidal Range Ratio Method for Chart Datum (CD) transfer can be theoretically deduced is set up and used to transfer the hydrographic datum including MSL and CD with higher accuracy. Some tests have been carried out using the data from China Sea.