An improved vector method for simultaneous analysis of removability and kinematics in block theory

IF 6.9 1区工程技术 Q1 ENGINEERING, GEOLOGICAL

Engineering Geology Pub Date : 2024-11-07 DOI:10.1016/j.enggeo.2024.107784

Qin Chen , Qing-yang Zhu , Jun-lin Chen , Hai-bo Li , Xing-guo Yang , Jia-wen Zhou

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引用次数: 0

Abstract

Block theory is an important and commonly used method for addressing stability problems in rock engineering, and it is very meaningful to simplify its analysis procedure and improve its computational efficiency. In this paper, an improved vector method capable of simultaneously analyzing block removability and kinematics that works well for both convex and concave blocks is proposed. This improved approach is based on rigorously proven theorems. Compared to the original vector method in block theory, it is simpler and more efficient because it skips the removability analysis and simplifies some of the judgment conditions in kinematic analysis. With the results of kinematic analysis, the improved vector method can also determine the removability of the block. The validity of the improved vector method is verified by analyzing a series of individual convex or concave blocks with different removability and failure modes. Finally, the improved vector method is applied to the block progressive failure analysis of an engineering slope, which again validates the effectiveness of the improved vector method. The advantages of the improved vector method are highlighted through a comparison with existing methods, especially its high computational efficiency, ease of understanding and implementation.

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一种改进的矢量法，用于同时分析块体理论中的可移动性和运动学

块体理论是解决岩石工程中稳定性问题的一种重要且常用的方法，简化其分析程序并提高计算效率非常有意义。本文提出了一种改进的矢量方法，能够同时分析块体可移除性和运动学，对凸面和凹面块体均适用。这种改进的方法以经过严格验证的定理为基础。与块体理论中原有的矢量法相比，它更简单、更高效，因为它跳过了可移性分析，并简化了运动学分析中的一些判断条件。根据运动学分析的结果，改进矢量法还可以确定块体的可移性。通过分析一系列具有不同可移除性和失效模式的单个凸块或凹块，验证了改进矢量法的有效性。最后，将改进向量法应用于工程斜坡的块体渐进失效分析，再次验证了改进向量法的有效性。通过与现有方法的比较，突出了改进矢量法的优势，特别是其计算效率高、易于理解和实施。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Engineering Geology 地学-地球科学综合

CiteScore

13.70

自引率

12.20%

发文量

327

审稿时长

5.6 months

期刊介绍： Engineering Geology, an international interdisciplinary journal, serves as a bridge between earth sciences and engineering, focusing on geological and geotechnical engineering. It welcomes studies with relevance to engineering, environmental concerns, and safety, catering to engineering geologists with backgrounds in geology or civil/mining engineering. Topics include applied geomorphology, structural geology, geophysics, geochemistry, environmental geology, hydrogeology, land use planning, natural hazards, remote sensing, soil and rock mechanics, and applied geotechnical engineering. The journal provides a platform for research at the intersection of geology and engineering disciplines.