CAJ | 학술논문

采用规则网格有限差分方法对二维平面弹性波动方程进行差分离散，得到相应的弹性波动方程的有限差分方程，再将弹性波动方程的差分格式与吸收边界、自由边界的离散形式结合形成弹性波动方程有限差分方程解决问题的主体，将其应用于含方形凹陷半无限非均匀介质的模型中进行数值模拟，得到此离散化模型中不同时刻不同节点的位移值。针对具体算例，运用上述方法结合科学计算软件 MATLAB 和结果后处理软件 DIFEM ISOLINE PLOTER 得到不同时刻的水平方向位移等值线图与接收器测量点处的合成位移记录，讨论非均匀介质、吸收边界、方形凹陷等对波动特性的影响。
채용규칙망격유한차분방법대이유평면탄성파동방정진행차분리산，득도상응적탄성파동방정적유한차분방정，재장탄성파동방정적차분격식여흡수변계、자유변계적리산형식결합형성탄성파동방정유한차분방정해결문제적주체，장기응용우함방형요함반무한비균균개질적모형중진행수치모의，득도차리산화모형중불동시각불동절점적위이치。침대구체산례，운용상술방법결합과학계산연건 MATLAB 화결과후처리연건 DIFEM ISOLINE PLOTER 득도불동시각적수평방향위이등치선도여접수기측량점처적합성위이기록，토론비균균개질、흡수변계、방형요함등대파동특성적영향。
Using the finite difference method,the two-dimensional elastic wave equation is pro-cessed to obtain the finite difference equation.Then,the differential elastic wave equation format is combined with the absorbing boundary and the discrete form of the free boundary.The elastic wave equation finite difference equation is formed to solve the problem.Using the finite difference equation,the displacement on different nodes can be obtained at different times for the rectangle-shaped depression of a semi-infinite inhomogeneous medium.Using the finite difference equation of the two-dimensional elastic wave equation combined with the scientific computation software, MATLAB,and the post-processor software,DIFEM ISOLINE PLOTER,the displacement isoline of the rectangle-shaped depression of the semi-infinite inhomogeneous medium in the x direction can be obtained for different times.The effect of the inhomogeneous media,absorbing boundary, and the rectangle-shaped depression on the wave characteristics is analyzed numerically.