摘要
针对u-p形式的饱和两相介质的波动方程,采用精细时程积分方法计算固相位移u,采用向后差分算法求解流体压力p,建立了基于精细时程积分技术的饱和两相介质波动问题的时域求解方法。针对标准算例,将该方法的计算结果与可视为标准结果的Zienkiewicz隐式算法的计算结果进行比较分析,二者符合较好,表明了该方法具有良好的计算精度。同时,该方法的计算过程为交替迭代求解,避免了在每个时间分析步上求解耦联方程组,因而具有较高的计算效率。该方法具有时域显式计算方法的基本特点,是进行饱和两相介质动力问题计算与分析的一种有效方法。
On the basis of the precise time-integration method, a time-domain method for the wave propagation of the fluid-saturated porous media is proposed to calculate the dynamic response of the fluid-saturated porous media with the formulation of solid phase displacement u and pore pressure p. The solid phase displacement u is computed by precise time-integration method and fluid pressure p is computed by backward difference method. The proposed method is verified by a standard example. Moreover, the proposed method is compared with Newmark algorithm proposed by Zienkiewicz. The verifications indicate that the proposed method has high computational precision. In the meanwhile, the calculating course of the proposed method can be executed in an iterative manner, coupling equations do not need to be solved in each time step, so the proposed method has considerable efficiency. The proposed method has the basic characteristic of time-domain explicit calculating methods. Therefore, the method is capable of analyzing the dynamic response of the fluid-saturated porous media, reasonably.
出处
《岩土力学》
EI
CAS
CSCD
北大核心
2015年第9期2702-2707,2715,共7页
Rock and Soil Mechanics
基金
国家重点基础研究发展计划(973计划)项目(No.2011CB013602)
国家自然科学基金创新群体项目(No.51421005)
国家自然科学基金面上项目(No.51178011)
关键词
饱和两相介质
u-p形式波动方程
精细时程积分
时域解法
向后差分
fluid-saturated porous media
u-p dynamic formulation
precise time-integration
time-domain algorithm
backward difference
