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1、第35卷第9期巖土力學(xué)、,01.35No.92014年9月RockandSoilMechanicsSep.2014文章編號(hào)I1000-7598(2o14)09-2443-05土一水特征曲線的分形特性及其分析擬合陶高梁一,孔令偉,肖衡林2,馬強(qiáng)2,朱志政2(1.中國(guó)科學(xué)院武漢巖土力學(xué)研究所巖土力學(xué)與工程國(guó)家重點(diǎn)實(shí)驗(yàn)室,武漢430071;2.湖北工業(yè)大學(xué)土木工程與建筑學(xué)院,武漢430068)摘要:為了建立一種參數(shù)有明確物理意義的土一水特征曲線擬合方法,基于分形理論,給出了一種直接通過土一水特征曲線實(shí)測(cè)數(shù)據(jù)求解分維數(shù)的計(jì)算方法,建議了一種土一水特征曲線擬合分析的分形模型。為驗(yàn)證所建議
2、擬合方法的合理性,采用液壓千斤頂制作了7個(gè)不同干密度黏性土試樣,利用壓力板儀測(cè)量了土一水特征曲線?;谕烈凰卣髑€實(shí)測(cè)值計(jì)算了分維數(shù),在此基礎(chǔ)之上對(duì)土一水特征曲線實(shí)測(cè)數(shù)據(jù)進(jìn)行分析擬合。結(jié)果表明:分維數(shù)計(jì)算及擬合分析時(shí),7個(gè)試樣相關(guān)系數(shù)都集中在0.97~0.99之間,從而證明了土一水特征曲線具有良好的分形特性,建議的擬合方法效果較好。此外,研究發(fā)現(xiàn),分維數(shù)、進(jìn)氣值隨干密度幾乎呈線性增加,據(jù)此建議了一種不同壓實(shí)度下的土一水特征曲線預(yù)測(cè)方法,其預(yù)測(cè)結(jié)果與實(shí)測(cè)值吻合較好。關(guān)鍵詞。土一水特征曲線:擬合分析;分形維數(shù);分形模型中圖分類號(hào)tTU411文獻(xiàn)標(biāo)識(shí)碼:AFractalcharac
3、teristicsandfittinganalysisofsoil-watercharacteristiccurvesTAOGao.1iang,,KONGLing.wei,XIAOHeng.1in,MAQiang,ZHUZhi—zheng。(1.StateKeyLaboratoryofGeomechanicsandGeotechnicalEngineering,InstituteofRockandSoilMechanics,ChineseAcademyofSciences,Wuhan430071,China;2.SchoolofCivilEngineeringandArchit
4、ecture,HubeiUniversityofTechnology,Wuhan430068,China)Abstract:Inordertoestablishafittingapproachforsoil—watercharacteristiccurves(SWCC)withclearphysicalmeanings,amethodiSpresentedtodirectlycalculatethefractaldimensionsthroughtheSWCCdatabasedOnthefractaltheory,andafracta1mode1ofSWCCisproposed
5、.Toverifytheproposedfiringmethod,sevenclaysampleswithdifferentdrydensitiesarepreparedusinghydraulicjacks,andthesoil-watercharacteristicCHIVESaremeasuredbyusingthepressureplateapparatus.BasedontheexperimentalresultsofSWCC,thefractaldimensionsarecalculated.Onthisbasis,fittinganalysisoftheSWCCd
6、ataisperformedbyusingthepresentedmethod.Theresultsshowthat,allthecorrelationcoeficientsofthesevensamplesrangefrom0.97to0.99,whichindicatesgoodfractalcharacteristicsofSWCCaswellasgoodfittingperformanceoftheproposedmethod.Inaddition,itisfoundthatthefractaldimensionsandtheairentryvaluesincrease
7、almostlinearlywiththedrydensity.Onthisbasis,apredictionmethodofSWCCatdiferentcompactiondegreesisalsoproposedandtested.Thepredictionresultsareingoodagreementwiththemeasuredvalues.Keywords:soil.watercharacteristiccurve;fittinganalysis;fractaldimensio