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Layout and length optimization of anchor cables for reinforcing rock wedges

机译：锚固锚固件的布局和长度优化

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摘要

This paper presents an optimization study on the layout and length of anchor cables for stabilizing rock wedges from the perspective of their three-dimensional geological characteristics. On the basis of the generalized geometry model for rock wedges, the expression of driving force of slope at the arbitrary longitudinal section can be deduced by employing the hyperbolic model between driving force and scale factor of rock wedges. Due to the remarkable parabolic characteristics of the driving force expression of rock wedges, a corresponding non-uniform layout principle of anchor cables was proposed, with closer layout in the central part and sparse layout near the side boundaries. The rational length of anchor cables was quantified on the basis of specification and the three-dimensional spatial characteristics of rock wedges. Furthermore, the upper limit spacing of anchor cables was determined by the spacing threshold caused by the parabolic distributed driving force. The spacing distribution of the optimized anchor cables was verified as a parabolic distribution according to a case study on the Shuige rock wedge in Lishui City, China. Compared with the conventional uniform spacing and length design scheme, the adjusted optimal non-uniform scheme can reduce the anchor cables by 16.9 % and 18.9 % in number and in total length, respectively.
机译：本文从锚固楔的三维地质特征出发，对锚索的布置和长度进行了优化研究。在广义的岩石楔形几何模型的基础上，通过在岩石楔形的驱动力与比例因子之间采用双曲线模型，可以推导出任意纵断面的斜坡驱动力的表达式。由于岩石楔块驱动力表现出明显的抛物线特性，提出了锚索的相应非均匀布置原理，其中心部位布置较近，侧面边界处布置较稀疏。根据规范和岩楔的三维空间特性，对锚索的合理长度进行了量化。此外，锚索的上限间距由抛物线分布的驱动力引起的间距阈值确定。以中国丽水市水阁岩楔为例，验证了优化锚索的间距分布为抛物线分布。与常规的均匀间距和长度设计方案相比，调整后的最佳非均匀方案可以将锚索的数量和总长度分别减少16.9％和18.9％。

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