CAJ | 학술논문

针对无限深透水坝基的渗流问题，在传统有限元数值模拟的基础上引入无限单元法，通过数学推导，建立有限元和无限元的耦合模型，即在传统有限元法基础上增加无限单元来模拟无限域渗流问题。以西北干旱区某大坝及坝基为例，对恒定水头作用下半无限深透水坝基进行常规有限元分析及有限元与无限元耦合分析，并将两者的计算结果进行比较，结果表明：两种方法的计算结果相差不大，但有限元和无限元耦合法计算精度可提高15％，更加接近实际情况，并且耦合法计算剖分单元会大大减少，大幅度节省计算时间。
침대무한심투수패기적삼류문제，재전통유한원수치모의적기출상인입무한단원법，통과수학추도，건립유한원화무한원적우합모형，즉재전통유한원법기출상증가무한단원래모의무한역삼류문제。이서북간한구모대패급패기위례，대항정수두작용하반무한심투수패기진행상규유한원분석급유한원여무한원우합분석，병장량자적계산결과진행비교，결과표명：량충방법적계산결과상차불대，단유한원화무한원우합법계산정도가제고15％，경가접근실제정황，병차우합법계산부분단원회대대감소，대폭도절성계산시간。
The dam locations with the good geologic condition gradually are decreasing in our country,many dams which will be developed have to be seated on the infinite deep foundation. But there is not a suit of seepage control calculation theoretic effectively so far. The paper aimed at the seepage calculation of the infinite deep pervious foundation to build a Finite/infinite element mathematics model. The global basis functions of the infinite elements method were productions of the FEM basis functions and the decay functions. The Dirichlet condition at the infinite position could be met if the decay functions were introduced in basis functions. It shows that the calculation results of two methods are similar,but limited and in-finite element coupling method calculation accuracy can be increased by 15%,closer to the actual situation,and coupling method to calculate the subdivision unit will be reduced greatly,greatly saving the computation time.