黄土丘陵区地质灾害规模参数幂律相依性研究  

Power Law Correlations of Geohazards in Loess Hilly Region

作　　者：邱海军[1] 曹明明[1] 王雁林[2] 郝俊卿[3] 胡胜[1] 高宇[1] 刘琪[1] 

机构地区：[1]西北大学城市与环境学院,陕西西安710127 [2]长安大学建筑工程学院,陕西西安710054 [3]西安财经学院商学院,陕西西安710061

出　　处：《地理科学》2015年第1期107-113,共7页Scientia Geographica Sinica

基　　金：国家自然科学基金项目(41401602);西北大学科学研究基金(12NW32);西北大学科研启动基金(PR12076);陕西省社会科学界2012年度重大理论与现实问题研究项目(2012Z029)共同资助

摘　　要：对滑坡、崩塌和不稳定斜坡等地质灾害规模参数幂律相依性进行定量研究,拓展了规模参数之间幂律相依性的研究范围。研究结果发现:1地质灾害规模参数的幂律相依性不仅存在于体积与面积之间,而且存在于面积与长、面积与宽等参数之间;2幂指数可以作为间接反映区域地质灾害或者不同类型地质灾害的宏观特征表征谱;3体积与面积关系式的幂指数分布为不稳定斜坡>滑坡>崩塌;面积与长关系式的幂指数分布为崩塌>滑坡>不稳定斜坡。面积与宽关系式的幂指数的分布为滑坡>崩塌>不稳定斜坡。Landslides are significant natural hazards in many areas of the world.they often resulting in both human and material losses.A number of authors have argued that the power law is the symbol of self-organized critical state.Many empirical observations have shown that landslides caused by various triggers,including earthquakes,rainfall and rapid snowmelt,and are influenced by multiple factors,such as local and regional morphological and topography,soil and lithological setting,fractures and bedding planes and moisture content obey power law statistics.In this paper,we first collect information witch include volume,area,length,width,depth in a dababase of landslides,collapses and unstable slope. Based on the geological hazards, such as landslides, collapses and unstable slope, the power-law dependence was quantitative researched, explore the power law relationship between the scale parameter for the first time in domestic, and the research scope of scale parameter between power-law dependence was expanded.The results showed that: 1) Based on the detailed inventory,we model the empirical relationship adopting least square linear fit between area and volume was fitted to the empirical data which were log-transformed. We compare the new relationship to similar relationships in the literature and found that the exponent of power law about volume and area of geological disasters was between 0.88 and 1.95,this indicates that it has a similar trend under the log-log coordinate.The research prove that the power law correlation of geological disasters not only exist between volume and area scale parameters, it exists in the area between parameters such as length,area, and the width. 2) Estimating the volume of landslide,collapse and unstable slope in an area is an even more difficult and chanllenging task thal requires information on the surface and sub-surface geometry of slope.At present,we can adopting the empirical relationships to estimate the volume of landslides. Given landslide, collapse and slope instability paramet

关 键 词：幂律相依性 地质灾害 规模参数 

分 类 号：P694[天文地球—地质学]