To obtain an accurate size of mine goaf is an important criterion of resource exploitation surrounding mine goaf region. What is more, it is also important groundwork of mine goaf treatment and disaster monitoring. In view of the traditional goaf triangulation model tetrahedron algorithm which is prone to cause the overlap computation problem, this paper takes the original data of three-dimensional laser system CMS acquisition as the standard criterion, and puts forward a tetrahedron cumulative sum algorithm that takes laser probe as the center point to connect all the triangulation. Thus, the accurate solution of the goaf's volumes is determined. On the basis of the goaf triangulation network model generated by self-developed products-3D modeling software of goaf detection, the traditional tetrahedron algorithm of mining goaf triangulation model is improved. First of all, the center point of tetrahedral solution is determined by the algorithm, then a tetrahedron is formed through the connection of the center point and triptychs of the triangle network model. Finally, the mining goaf's volume is calculated by summing up the tetrahedral directed volumes. Actual application shows that the improved tetrahedron algorithm of mining goaf tetrahedral volume has the advantages of high precision and wide application range.

goaf volume  /  center point  /  tetrahedron algorithm