契贝谢夫曲面拟合在趋势面分析中的应用

The application of Чебышев curved surface fitting to tendency surface analysis

各种物探方法的测量成果往往是用数据表示的。例如某一地层面的深度或某一地区的重力值。这些数据包含两方面的变化,一是反映总趋势的变化,即区域背景;二是反映局部变化,即去掉区域背景的剩余值。把这些离散的数据(例如深度)点变成反映构造形态的地层面,可以用数学上的曲面拟合来实现。本文介绍的方法是用契贝谢夫曲面拟合法来实现趋势面分析,并与最小二乘法拟合结果进行了比较。实验表明,契贝谢夫曲面拟合优于最小二乘法拟合。

The results of various geophysical explorations are usually describ- ed using data,such as the depth of a formation interface,and gravity values in an area.These data include two kinds of information:gene- ral tendency(regional background)and local variation(residual values after removing the regional background).Converting discrete datum (such as depth)points into stratigraphic interface which reflects struc- ture shape can be achieved using mathematic curved sureface fitting. curved surface fitting method for tendeney surface analysis is recommended and compared with least square fitting method.Experi- ments show that curved surface fitting method is superior to least square fitting method.