高级检索

基于HURST指数的公路路堑边坡深层位移监测分析

Analysis of Deep-seated Displacement Monitoring for Highway Cutting Slopes Based on the Hurst Exponent

  • 摘要: 公路路堑边坡的稳定性对高速公路整体安全与效率具有重要的意义,其中通过测斜仪设备测量边坡深层位移是检测边坡稳定性的重要手段,现有的稳定性判断方法是基于采集到的数据通过位移时程曲线进行人工经验判断,而针对边坡体量大,数据过多且位移时程曲线波动较为明显的情况下,人工经验判断效率低下,对边坡稳定性无法精准判断。因此,针对路堑边坡稳定性评估中深层位移变化规律及预警难题,本文利用分形理论Hurst指数对某高速典型测孔深层位移时间序列数据和其Hurst值内在规律进行分析,结果表明:测孔在深层累计位移无明显突变情况下,其Hurst值小于0.8,边坡处于临界状态;当累计位移出现突增时,其Hurst值达到极值,并大于或等于0.8,边坡处于不稳定状态,代表区域仍在运动状态,这可能对公路的运行造成威胁;随着深层累计位移趋于平稳,其Hurst值持续降低。基于分形理论中的Hurst指数,可对边坡深层位移监测数据进行分析,该方法可作为边坡稳定性评估的一项辅助手段。

     

    Abstract: The stability of highway cut slopes is of great significance to the overall safety and efficiency of expressways. Measuring the deep-seated displacement of slopes using inclinometers is an important method for detecting slope stability. The existing stability assessment approach relies on manual empirical judgment based on displacement-time history curves derived from collected data. However, when the slope volume is large, the data are extensive, and the displacement-time history curves exhibit significant fluctuations, manual empirical judgment becomes inefficient and fails to provide accurate assessments of slope stability. Therefore, to address the challenges of evaluating the variation patterns of deep-seated displacement and early warning in cut slope stability assessment, this paper utilizes the Hurst exponent from fractal theory to analyze the time-series data of deep-seated displacement from typical monitoring holes in a specific expressway and the inherent patterns of their Hurst values. The results indicate that when the cumulative deep-seated displacement of a monitoring hole shows no significant abrupt change, its Hurst value is less than 0.8, and the slope is in a critical state. When the cumulative displacement exhibits a sudden increase, the Hurst value reaches an extreme value greater than 0.8, indicating that the slope is in an unstable state, which suggests the area is still undergoing movement and may pose a threat to the operation of the highway. As the cumulative deep-seated displacement stabilizes, the Hurst value continues to decrease. Based on the Hurst exponent from fractal theory, the monitoring data of deep-seated slope displacement can be analyzed, and this method can serve as an auxiliary means for slope stability assessment.

     

/

返回文章
返回