工程科学学报
工程科學學報
공정과학학보
Journal of University of Science and Technology Beijing
2015年
4期
407-413
,共7页
非饱和土边坡%边坡稳定性分析%水含量%数学模型%交替方向隐式法%有限差分法
非飽和土邊坡%邊坡穩定性分析%水含量%數學模型%交替方嚮隱式法%有限差分法
비포화토변파%변파은정성분석%수함량%수학모형%교체방향은식법%유한차분법
unsaturated soil slopes%slope stability analysis%water content%mathematical models%alternating direction implicit method%finite difference method
降雨是非饱和土边坡失稳的关键因素之一,非饱和土体的强度与体积含水率有密切的关系。考虑二维降雨入渗条件,基于非饱和土达西渗流定理及质量守恒定律建立了非饱和土的二维降雨入渗模型方程。基于交替隐式有限差分法,采用MATLAB编制了计算程序,对方程进行了数值计算,研究了不同降雨条件、边坡内部不同位置的瞬态体积含水率分布。研究表明,由于考虑了水平方向的入渗,边坡内随着深度和水平距离的增加,体积含水率都发生了变化,在距离边坡表面1m左右时,体积含水率变化率变小,边坡表层的体积含水率变化远远大于边坡深部。初始体积含水率越小,边坡体积含水率变化越大,这对边坡的稳定性不利。
降雨是非飽和土邊坡失穩的關鍵因素之一,非飽和土體的彊度與體積含水率有密切的關繫。攷慮二維降雨入滲條件,基于非飽和土達西滲流定理及質量守恆定律建立瞭非飽和土的二維降雨入滲模型方程。基于交替隱式有限差分法,採用MATLAB編製瞭計算程序,對方程進行瞭數值計算,研究瞭不同降雨條件、邊坡內部不同位置的瞬態體積含水率分佈。研究錶明,由于攷慮瞭水平方嚮的入滲,邊坡內隨著深度和水平距離的增加,體積含水率都髮生瞭變化,在距離邊坡錶麵1m左右時,體積含水率變化率變小,邊坡錶層的體積含水率變化遠遠大于邊坡深部。初始體積含水率越小,邊坡體積含水率變化越大,這對邊坡的穩定性不利。
강우시비포화토변파실은적관건인소지일,비포화토체적강도여체적함수솔유밀절적관계。고필이유강우입삼조건,기우비포화토체서삼류정리급질량수항정률건립료비포화토적이유강우입삼모형방정。기우교체은식유한차분법,채용MATLAB편제료계산정서,대방정진행료수치계산,연구료불동강우조건、변파내부불동위치적순태체적함수솔분포。연구표명,유우고필료수평방향적입삼,변파내수착심도화수평거리적증가,체적함수솔도발생료변화,재거리변파표면1m좌우시,체적함수솔변화솔변소,변파표층적체적함수솔변화원원대우변파심부。초시체적함수솔월소,변파체적함수솔변화월대,저대변파적은정성불리。
Rainfall is one of the key factors of unsaturated soil slope instability and the strength of unsaturated soils is closely related to volume water content. Considering two-dimensional rainfall infiltration, on the basis of the Darcy seepage theorem and mass conservation law of unsaturated soils, this paper constructed a two-dimensional infiltration model of unsaturated soils and coded a MATLAB program based on an alternating-direction-implicit ( ADI) finite difference method which is used to numerical calculations to study the transient volume water content distribution at different slope locations under different rainfall conditions. The results show that the volume water content changes with the horizontal distance and depth. Moreover, the volume water content at the slope surface changes far greater than that at the deep part. The smaller the initial volume water content is, the greater the change in volume water content of the slope is, which is disadvantageous to slope stability.