An Optimal Design Method for Slope Shape in Open Pit Mine

Abstract

The present invention provides an optimization design method for the slope shape of an open-pit mine. For a certain slope height H, by continuously increasing the slope angle α, when the slope shape curve in the limit state calculated by the slip line field theory is equal to When the slope surface line intersects at the foot of the slope, it is judged that the slope is in a limit equilibrium state. The slope angle α at this time is the limit slope angle αcr. By fitting a series of slope heights H and limit slope angle αcr, the edge of the open-pit mine can be obtained. The optimal slope shape of the slope is a convex curve, which changes the single straight line excavation form of the limit equilibrium method. Compared with the principle of spatial mechanics, it can reduce the amount of ore stripping, improve production efficiency, and extend the life of the mine. This method is suitable for open-pit mines. Slope shape optimization design provides a new analysis approach.

Description

technical field [0001] The invention belongs to the technical field of open-pit mine slope engineering, and in particular relates to a shape optimization design method for open-pit mine slopes. Background technique [0002] Most of the large and medium-sized open-pit mines in our country were built in the 1950s and 1960s, and most of them have entered deep concave mining. The excessive stripping ratio has made many mines fall into trouble, and the work of seeking to reduce the amount of waste rock stripping has attracted increasing attention. [0003] On the one hand, with the increase of the mining depth and the heightening and steepening of the slope, the failure probability of the slope and the difficulty of mining will increase; considerable. Therefore, how to coordinate the relationship between the two and design the optimal slope angle is a difficult problem faced by every open-pit mine, which will have a significant impact on the production safety and economic benefi...

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Problems solved by technology

When the limit equilibrium method is used for analysis, the excavation shape of the slope is generally linear. When calculating the safety factor, it is necessary to assume and search for the critical slip surface. The safety factor can be written as a function of the critical slip surface. The minimum safety factor is In order to find the minimum value of the function, the function has non-convexity and multi-extreme value, the former hinders the use of conventional mathematical methods, and the latter makes the search method easy to fall into the local minimum, so it is difficult to determine the limit state, while numerical analysis The biggest difficulty is how to determine that the slope is in the limit state, that is, there is no better way to determine the instability criterion. At present, it can only be analyzed and evaluated by human judgment and trial calculation.

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