为提高露天矿山的设计效率和经济效益,针对传统手工方法圈定露天境界时存在的准确度低、工作量大等缺点,提出在价值块段模型(Economic Block Value Model,EBVM)基础上运用Lerchs-Grossmann算法求解大型复杂露天矿山境界优化问题的方法。详细阐述了EBVM的构建途径,构造了求解境界优化问题的线性规划数学模型,并从图论学的角度介绍了Lerchs-Grossmann算法的求解步骤。该方法已在DIMINE数字采矿三维平台中得到实现,并应用于实际露天矿山的境界优化和设计中。结果表明,该方法能够快速准确地求解出不同参数条件下的最优开采方案,克服了传统手工方法的弊端,为矿山的设计生产和资源的优化利用提供了依据和保证。

In view of the problems existed in delineating the open-pit boundary by traditional manual work such as low accuracy and heavy workload, a new method is presented on the basis of Economic Block Value Model (EBVM) with applying Lerchs-Grossmann algorithm to solve boundary optimization problems in large and complex open-pit mine, in order to improve the design efficiency and economic benefits. Not only a means of structuring EBVM is elaborated, but also a mathematical model of linear programming is constructed to solving optimization problems. Moreover, steps of Lerchs-Grossmann algorithm are described from the point of view of the set theory. The method has been realized in DIMINE software, and applied to the actual boundary optimization and design of open-pit mines. Results show that the method is able to overcome the shortcomings of traditional manual methods and solve the optimal exploitation scenarios quickly and accurately under different parameters. It provides basis and assurance for mining company with the optimal use of resources.