工程地质学报
工程地質學報
공정지질학보
2014年
6期
1115-1122
,共8页
黄土节理%非饱和%Galerkin法%有限元%数值分析
黃土節理%非飽和%Galerkin法%有限元%數值分析
황토절리%비포화%Galerkin법%유한원%수치분석
Loess joint%Unsaturated%Galerkin method%FEM%Numerical analysis
本文建立了在考虑黄土中有节理存在时,水分场数值计算的有限元方法。采用质量守恒的观点推导了质点元中饱和度的变化与流速的关系。进而利用达西定律得到以水头为变量的渗流基本方程。针对黄土垂直节理的渗流特点,确定了节理渗流基本方程中的参数。采用四边形等参元,利用Galerkin加权余量法建立考虑节理影响的黄土非饱和渗流的有限元形式。对局部水头边界条件下的黄土节理二维水分入渗问题进行了数值分析。结果表明,节理对黄土场地湿润峰的迁移有很大影响。
本文建立瞭在攷慮黃土中有節理存在時,水分場數值計算的有限元方法。採用質量守恆的觀點推導瞭質點元中飽和度的變化與流速的關繫。進而利用達西定律得到以水頭為變量的滲流基本方程。針對黃土垂直節理的滲流特點,確定瞭節理滲流基本方程中的參數。採用四邊形等參元,利用Galerkin加權餘量法建立攷慮節理影響的黃土非飽和滲流的有限元形式。對跼部水頭邊界條件下的黃土節理二維水分入滲問題進行瞭數值分析。結果錶明,節理對黃土場地濕潤峰的遷移有很大影響。
본문건립료재고필황토중유절리존재시,수분장수치계산적유한원방법。채용질량수항적관점추도료질점원중포화도적변화여류속적관계。진이이용체서정률득도이수두위변량적삼류기본방정。침대황토수직절리적삼류특점,학정료절리삼류기본방정중적삼수。채용사변형등삼원,이용Galerkin가권여량법건립고필절리영향적황토비포화삼류적유한원형식。대국부수두변계조건하적황토절리이유수분입삼문제진행료수치분석。결과표명,절리대황토장지습윤봉적천이유흔대영향。
A finite element method is established for calculating the seepage flow in loess with consideration of its joints' influence.The basic seepage flow equation in unsaturated media is worked out with the view of conservation of mass.It is about the velocity and the saturation's expression.Appling the Darcy law,the variable can be changed from velocity to hydraulic head in the equation.The parameter in the basic flow equation of loess joints is determined according to the characteristic of loess vertical joints.Using the quadrilateral isoparametric element,the finite element form of the equation is given with the Galerkin weighted residual method.Under local Dirichlet boundary condition,the loess 2-D seepage problem is numerically studied considering the influence of loess joint. The results show that joint has a huge influence on the migration of wetting front.