Landslide displacement multifractal and its application to prediction of evolvement trend

FAN Xiao-yi

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Landslide displacement multifractal and its application to prediction of evolvement trend

更新时间：2026-06-25

- Landslide displacement multifractal and its application to prediction of evolvement trend
- Vol. 32, Issue 6, (2011)
- 作者机构：
  
  西南科技大学土木工程与建筑学院,四川,绵阳,621010
- 作者简介：
- 基金信息：
- DOI：
  CLC： P642.22
- Online First：21 June 2011，
  
  Published：2011
- 稿件说明：
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FAN Xiao-yi. Landslide displacement multifractal and its application to prediction of evolvement trend[J]. 2011, 32(6).
DOI：

FAN Xiao-yi. Landslide displacement multifractal and its application to prediction of evolvement trend[J]. 2011, 32(6). DOI：

摘要

在系统分析滑坡位移监测资料和位移演化特征的基础上，根据多重分形理论基本原理，对滑坡位移演化所具有的复杂性、突变性和非线性特征进行了分析和研究。单一分形维数对滑坡位移的演化趋势预测存在不足，文中分别以新滩滑坡、丹巴滑坡和黄蜡石滑坡为例，计算了滑坡位移时序演化的多重分维数演化特征。分析和评价位移演化规律与多重分维数演化特征的关系发现，多重分维数D1 > D2 > … > D∞时，滑坡趋于稳定；D1 < D2 < … < D∞时，滑坡向失稳破坏演化。当滑坡位移时序多重分维数演化特征出现拐点时，即分维数由D1 > D2 > … > D∞，经D1 > … > Dn < Dn+1 < … < D∞到 D1 < D2 < … < D∞的演化过程时，滑坡向不稳定的状态演化；当分维数由D1 < D2 < … < D∞，经D1 > … > Dn D2 > … > D∞的演化过程时，滑坡向趋于稳定的状态演化。研究表明，可以运用多重分维数演化特征对滑坡位移演化趋势与规律进行评价与预测。

Abstract

Based on systematic analysis of the landslide displacements and its evolvement characteristics

a detailed research is performed on the features of the complexity

catastrophe and nonlinearity in terms of the basic principle of multifractal. The single fractals are deficiencies in prediction of evolvement trend of landslide displacement. The evolvement of landslide displacement is determined by the multifractal dimensions. Firstly

taking the typical landslides——The Xintan landslide

Danba landslide and Huanglashi landslide as the practical examples

the evolvement of multifractal dimensions of the displacement-time are calculated. Secondly

the correlation between the displacement evolvement and multifractal dimensions is studied. It is found that the landslides are stable when the multifractal dimensions are D1 > D2 > … > D∞ and the landslides are unstable when the multifractal dimensions are D1 < D2 < … < D∞. Moreover

if there were inflexions in the multifractal dimensions of landslide displacements-time the landslide stability would change. For example

they are from D1 > D2 > … > D∞

through D1 > … > Dn < Dn+1 < … < D∞ to D1 < D2 < … < D∞

the landslides are unstable gradually. On the contrary

when they were from D1 < D2 < … < D∞

through D1 > … > Dn < Dn+1 < … < D∞ to D1 > D2 > … > D∞

the landslides are stable gradually. The study results show that the multifractal dimensions of displacement are an effective method to evaluate and predict landslide displacement evolvement

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