CAJ | 학술논문

针对层状半空间中沉积谷地对斜入射瑞雷波的三维散射问题，采用直接刚度法计算自由场波场，以层状半空间中移动斜线均布荷载动力格林影响函数求解三维散射波场，建立了求解该问题的间接边界元方法。通过与已有结果的比较，验证了该方法的正确性，并以均匀半空间以及弹性基岩上单一土层场地中沉积谷地为例进行了计算分析。研究结果表明：层状半空间与均匀半空间中沉积谷地对瑞雷波的散射存在显著差别；层状半空间中瑞雷波的振动模态对沉积附近位移幅值有着重要影响；土层刚度和厚度等参数也对沉积附近位移幅值大小及空间分布有着显著的影响。
침대층상반공간중침적곡지대사입사서뢰파적삼유산사문제，채용직접강도법계산자유장파장，이층상반공간중이동사선균포하재동력격림영향함수구해삼유산사파장，건립료구해해문제적간접변계원방법。통과여이유결과적비교，험증료해방법적정학성，병이균균반공간이급탄성기암상단일토층장지중침적곡지위례진행료계산분석。연구결과표명：층상반공간여균균반공간중침적곡지대서뢰파적산사존재현저차별；층상반공간중서뢰파적진동모태대침적부근위이폭치유착중요영향；토층강도화후도등삼수야대침적부근위이폭치대소급공간분포유착현저적영향。
Aiming at solving the problem of 3D scattering by an alluvial valley embedded in a layered half-space, the indirect boundary element method (IBEM)is established based on the free wave field calculated by using the direct stiffness method,and 3D scattering wave field simulated by using the Green’s functions of moving distributed loads in the layered half-space.The method is validated by comparison with known results,and numerical analyses are per-formed by examples of a valley embedded in a uniform half-space and in a single soil layer over elastic bedrock.The results show that the wave scattering around the valley embedded in a uniform half-pace are distinctively different from that in a layered half-space,the modals of the Rayleigh waves in a layered half-space have important effects on the displacement amplitudes around the val-ley,and also the stiffness and depth of the soil layer have important influence on the amplitudes and distribution of the displacement.