椭球体放矿理论的欠缺及其与类椭球体放矿理论的联系

现代矿业 ›› 2020, Vol. 36 ›› Issue (07): 32-35.

椭球体放矿理论的欠缺及其与类椭球体放矿理论的联系

吴世平¹郭进平²李角群²

1.中钢集团安徽刘塘坊矿业有限公司；2.西安建筑科技大学资源工程学院

出版日期:2020-07-25 发布日期:2021-09-19

Ellipsoid Drawing Theory′s Deficiency and the Connection with Quasiellipsoid Drawing Theory

Wu Shiping¹ Guo Jinping²Li Jiaoqun²

1.Sinosteel Anhui Liutangfang Mining Co.，Ltd.；2.School of Resource Engineering Xi′an University of Architecture & Technology

Online:2020-07-25 Published:2021-09-19

摘要/Abstract

摘要： 放矿理论是崩落法放矿管理的基础，椭球体放矿理论在生产实践中应用广泛但存在一定偏差。在分析椭球体放矿理论的基础上，指出椭球体放矿理论存在的不足：不能反映放出体形状随放出条件变化而变化的实际，密度场违背松散介质是连续介质这一基本前提，实际散体的移动过渡方程违背质量守恒定律，实际散体的速度场方程不完整，移动边界上的速度值不确定且变化不连续。在此基础上，通过分析椭球体放矿理论与类椭球体放矿理论之间的内在联系，论证了类椭球体放矿理论包含椭球体放矿理论的合理内核，n=1、m=2时能给出全套的椭球体放矿理论方程。类椭球体放矿理论符合实际、能够通过理论检验，是放矿理论的重大发展。

关键词: 椭球体类椭球体放矿理论欠缺联系

Abstract: Drawing theory is the basis of draw managing,and the ellipsoid drawing theory is widely used in production practice,but there are some deviations.By analyzing the theoretical basis of the ellipsoid drawing theory,pointed out that the ellipsoid drawing theory can′t reflect the shape of draw body changed when release conditions changed,density field is contrary to the basic premise that loose medium is continuous media,the moving transition equations of practical loose body contrary to the law of conservation of mass,the velocity field equation of practical loose body is not complete,the speed of the moving boundary is uncertain and discontinuous.On the basis,this paper discussed the connection between ellipsoid drawing theory and quasiellipsoid drawing theory,pointed out that the quasiellipsoid drawing theory is conform to reality and can be tested by theory,it contains the rational kernel of ellipsoid drawing theory,and can give all equations of ellipsoid drawing theory when n=1,m=2.Quasiellipsoid drawing theory is the important development of drawing theory.

Key words: Ellipsoid,Quasiellipsoid,Drawing theory,Deficiency,Connection

吴世平郭进平李角群. 椭球体放矿理论的欠缺及其与类椭球体放矿理论的联系[J]. 现代矿业, 2020, 36(07): 32-35.

Wu Shiping Guo Jinping Li Jiaoqun. Ellipsoid Drawing Theory′s Deficiency and the Connection with Quasiellipsoid Drawing Theory[J]. Modern Mining, 2020, 36(07): 32-35.