论趋势面分析

趋势面方程与地质变量空间曲面之间存在两种误差:数据信息模型误差——主要由原始数据来自不同地质曲面和数据点太稀未能使地质曲面保凸所引起;数学模型误差——主要由趋势面方程的逼近特性所引起.所以趋势面方程不宜作为精确计算的工具.通常的拟合度仅反映了数学模型误差.趋势面分析中突出地质变量的主要变化规律,是由忽略相对次要因素或次级变化的影响,即由趋势面的相对平滑来实现的.要使趋势面分析获得好的效果,要明确它的适用条件并遵循数学地质一般模式.

ON THE ANALYSIS OF TREND SURFACE

There are two errors between the equation of trend surface and the curved surface of the geological variable space the model error of the data information-it is the major primitive data resulted from different geoloical curved surface and the very much scarce data points which can not make convexity of the geological curved surface; The error of mathematical model is mostly resulted from near properties of the equations of trend surface. Therefore,the equations of trend surface are not suitable for the tool of calculation.The general fitting degree only reflects the error of mathematical model. In the analysis of trend surface,the law of main change of the geological variation has been protruded. The law is influenced by the neglecting relative secondary factor or change effect ot variety, that is, it is performed by the relative smoothing of the trend surface. In order that the analysis of trend surface achieves good results, suitable condition of the trend surface must be defined and the general model of the mathematical geology must be followed.