用解析几何计算矿体厚度的方法探讨--以个旧矿区某矿体为例

Discussion on the method of calculating orebody thickness by analytical geometry:an example for the orebody in Gejiu mining area

针对矿产勘查过程中矿体真厚度计算不准确、自动化程度不高的实际情况,探讨了一种用解析几何的思路计算钻孔中矿体厚度的方法。在个旧矿区,用3个钻孔见矿中心点坐标建立空间平面方程,该平面方程即代表矿块的空间展布,然后根据点到面的距离公式,分别求取顶板见矿点、底板见矿点到该平面的距离,其和即可代表钻孔揭露矿体的真厚度。该方法具有严密的数学逻辑、可靠性高,已在实际工作中得到验证。

In view of the fact that the calculation of true thickness of orebody is not accurate and the automation degree is not high in the exploration process,a method is discussed on calculating the orebody thickness in drilling holes with the idea of analytical geometry in Gejiu mining area.The spatial plane equation is established by using the coordinates of the center points of three drillinholes,which represents the spatial distribution of the ore block.Then,according to the distance formula from the point to plane,the distance between the ore points of the top and bottom plates to the plane can be obtained respectively,and the sum can represent the true thickness of the orebody exposed by the drilling hole.This method has the strict mathematical logic and high reliability,and has been verified in the practical work.