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为使勘探工程发挥最大效能,使所获数据便于整理和各和地质变量的局部数学模型误差得到有效和定量的控制,勘探工程布置应当符合数学原理.一定勘探工程间距,可以把大于它的地质体100％地发现;小于它的以一定概率发现;等距可以使勘探程度相同和估计优化,风险最小.函数逼近方法证明,线性插值、样条插值和康斯曲面的逼近误差均与节点(相当于钻孔)间距或其乘幂成正比.勘探工程呈直线排列而不呈折线,可以使连续变化的地质变量的方向导数保持连续,从而避免由于勘探工程呈折线排列引起的方向导数不存在和作剖面图时产生失真.勘探网度应包括等距原则和直线排列原则.勘探线距与孔距相等,应理解为与钻孔在地质体倾斜方向的距离相等.储量级别与基本线距相对应,是有数学根据的.
In order to maximize the effectiveness of the exploration project, the obtained data are easy to organize and the local mathematic model errors of each and the geological variables are effectively and quantitatively controlled. The arrangement of the exploration project should be in accordance with the principle of mathematics. The distance between the exploration project can be greater than its geological value. The volume is found 100%; less than it is found with a certain probability; equidistant can make the same degree of exploration and estimation optimization, the risk is minimal. The function approximation method proves that the linear interpolation, spline interpolation and approximation error of the Kongs surface are all nodes ( Equivalent to the distance between boreholes or their powers. The exploration project is arranged in a straight line instead of a polygonal line, which can keep the directional derivative of the continuously changing geological variables continuous, so as to avoid the directional derivative that does not exist due to the arrangement of folding lines in the exploration project. Distortion occurs when making cross-sections. The exploration network should include the principles of equal distance and alignment. The distance between the exploration line and the distance between holes is equal to the distance between the borehole and the borehole. The reserve level and the basic line spacing are equal. Correspondingly, there is a mathematical basis.