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1、甘肃天水地区黄土极限状态边坡统计研究摘要：在实际工程边坡设计中，往往参考临近自然边坡的坡率设计来进行人工开挖边坡。基于这种工程类比法，现场实测甘肃天水地区51个坡高40〜150m的黄土极限状态边坡断面，获得其坡高、坡宽及坡度参数，统计发现坡高与坡宽符合双对数线性关系，建立二者的相关方程；再将坡高按10m间距分段，每个坡高段取3个极限坡高，利用MorgensteiriPrice法反演了不同坡高段的强度参数（内聚力和内摩擦角）。由反演结果发现，随着坡高的增大，黄土的综合内聚力增大，内摩擦角减小，此特点与黄土
2、强度参数值随所处深度的变化规律基本一致。基于反演的强度参数和极限状态边坡坡高与坡宽的回归方程，进一步计算获得不同稳定系数下的坡高与坡宽的关系曲线，将该曲线制成图，可用来直接判定一个已知边坡的稳定系数，也可以用来确定拟设计边坡的坡度。关键词：黄土边坡；极限状态；参数反演；内聚力；内摩擦角；稳定系数；天水地区；甘肃中图分类号：P642.13+1；TU413.6+2文献标志码：AStatisticalAnalysisoftheLimitStateLoessSlopeinTianshuiAreaofGansuL
3、ITonglul,2，LIUChaol,LIPingl,2(1.SchoolofGeologicalEngineeringandSurveying,ChanganUniversity，Xian710054,Shaanxi,China；2.KeyLaboratoryforGeohazardsinLoessAreaofMinistryofLandandResources,XianCenterofGeologicalSurvey,ChinaGeologicalSurvey,Xian710054,Shaanxi
4、,China)Abstract：Forthepracticalslopedesign,theangleofadjacentnaturalslopeisoftenusedasreferencetodesignacuttingengineeringslope,whichiscalledasengineeringanalogicalmethod・Basedonthemethod,theprofilesof51loesslimitstateslopeswiththeheightof40150mweresurve
5、yedinTianshuiareaofGansu,andtheheight,widthandangleoftheslopesweremeasured；therelationshipbetweenheightandwidthofslopewasdoublelogarithmiclinear,andthecorrelationequationwasbuilt；andthen,theslopeheightwasdividedatintervalsof10m,andthreeheightsoflimitstat
6、eslopesforeachintervalwerecollectedtocalculatethestrengthparametersofcohesionandinternalfrictionanglewithMorgensternPricemethod・TheinversionresuItsshowedthatsyntheticallycohesionofloessincreased,andinternalfrictionangledecreasedwiththeheightofslopeincrea
7、sing,whichwasinaccordancewiththerelationshipbetweenthestrengthparametersofloessanddepth.Basedontheinversivestrengthparametersandtheregressionequationoftheheightandwidthoflimitstateslope,therelationshipcurvesbetweentheheightandwidthofslopewerecalculatedwi
8、thdifferentstabilitycoefficients，andthecurvesweredrawnasachart，whichwasusedtodeterminethestabilitycoefficientofaknownslopeandtoconfinntheangleofdesignedcuttingslope・Keywords：loessslope；limitstate；parametrieinversion；cohesi
