Probability Distribution Law of Physical and Mechanical Property Indexes of Expansive Soil:A Case Study from Ankang Area
In this study,we analyzed the distribution patterns and ranges of expansive soil indices through an engi-neering case study in Ankang,Shaanxi Province.By utilizing mathematical statistical models,specifically the Nor-mal,Gamma,Weibull,and Lognormal distributions,we aimed to gain a deeper understanding of these indices.To validate our findings,we conducted the Kolmogorov-Smirnov(K-S)test,which allowed us to confirm the distribu-tion of the indices and further elucidate the physical and mechanical properties of expansive soil.Our results re-vealed notable trends:the dry density index exhibited minimal deviation with a right skew,closely aligning with the Normal distribution.Conversely,the expansion rate demonstrated the greatest deviation and a left skew,indicating its heightened sensitivity to other indices.We also observed that the Lognormal distribution adeptly captured the pat-terns of water content and void ratio,while the Normal distribution provided an accurate representation of dry densi-ty.The Weibull distribution,on the other hand,excelled in describing the distributions of liquid limit,plastic lim-it,plasticity index,expansion rate,and expansion force in expansive soil.When compared to the traditional aver-age method,our approach by utilizing the peak parameter values from the optimal distribution functions of various indices offers a more precise evaluation of the physical and mechanical properties of expansive soil.The findings serve as valuable guidance for comprehending regional expansion deformation and enhancing engineering design and construction practices.
expansive soilphysical-mechanical indexesdistribution lawmathematic statisticsKolmogorov-Smilov test
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