Implementation of a second‐order paraxial boundary condition for a water‐saturated layered half‐space in plane strain     

John L. Tassoulas 《地震工程与结构动力学》2011,40(5):531-550

A half‐space finite element and a transmitting boundary are developed for a water‐saturated layered half‐space using a paraxial boundary condition. The exact dynamic stiffness of a half‐space in plane strain is derived and a second‐order paraxial approximation of the stiffness is obtained. A half‐space finite element and a transmitting boundary are then formulated. The development is verified by comparison of the dynamic stiffness of impermeable and permeable rigid strip foundations with other published results. The advantage of using the paraxial boundary condition in comparison with the rigid boundary condition is examined. It is shown that the paraxial boundary condition offers significant gain and the resulting half‐space finite element and transmitting boundary can represent the effects of a water‐saturated layered half‐space with good accuracy and efficiency. In addition, the numerical method described herein maintains the strengths and advantages of the finite element method and can be easily applied to demanding problems of soil–structure interaction in a water‐saturated layered half‐space. Copyright © 2010 John Wiley & Sons, Ltd.  相似文献   

Numerical modeling of multiphase fluid flow in deforming porous media: A comparison between two- and three-phase models for seismic analysis of earth and rockfill dams     

A.R. Khoei  T. Mohammadnejad 《Computers and Geotechnics》2011

In this paper, a fully coupled numerical model is presented for the finite element analysis of the deforming porous medium interacting with the flow of two immiscible compressible wetting and non-wetting pore fluids. The governing equations involving coupled fluid flow and deformation processes in unsaturated soils are derived within the framework of the generalized Biot theory. The displacements of the solid phase, the pressure of the wetting phase and the capillary pressure are taken as the primary unknowns of the present formulation. The other variables are incorporated into the model using the experimentally determined functions that define the relationship between the hydraulic properties of the porous medium, i.e. saturation, relative permeability and capillary pressure. It is worth mentioning that the imposition of various boundary conditions is feasible notwithstanding the choice of the primary variables. The modified Pastor–Zienkiewicz generalized constitutive model is introduced into the mathematical formulation to simulate the mechanical behavior of the unsaturated soil. The accuracy of the proposed mathematical model for analyzing coupled fluid flows in porous media is verified by the resolution of several numerical examples for which previous solutions are known. Finally, the performance of the computational algorithm in modeling of large-scale porous media problems including the large elasto-plastic deformations is demonstrated through the fully coupled analysis of the failure of two earth and rockfill dams. Furthermore, the three-phase model is compared to its simplified one which simulates the unsaturated porous medium as a two-phase one with static air phase. The paper illustrates the shortcomings of the commonly used simplified approach in the context of seismic analysis of two earth and rockfill dams. It is shown that accounting the pore air as an independent phase significantly influences the unsaturated soil behavior.  相似文献   

饱和孔隙介质中非均匀震电平面波   总被引：1，自引：0，他引：1  

崔志文  高文阳  张言  王克协 《岩土力学》2011,32(9):2810-2814

采用描述地下流体饱和孔隙介质中弹性波与电磁场耦合现象的Pride方程组,利用Helmholtz分解,求解了非均匀震电耦合平面波解,推导了流体饱和孔隙介质中传播的非均匀震电平面波的能流表达式,讨论了非均匀震电平面波的能量特征.结果表明,非均匀震电平面波的平均能流在传播矢量和衰减矢量构成的平面内传播,伴随电磁场对纵波模式的能流没有贡献.当动电耦合系数为0时,震电平面波的能流表达式可退化为Biot弹性波的能流表达式。  相似文献   

海堤上波浪爬高与越浪计算分析     

王鹏  孙大鹏  吴浩 《海洋工程》2011,29(4):97-102

基于线性波理论,采用VOF法、RNG k-ε的湍流模型,通过FLUENT软件平台的二次开发功能实现了质量源造波。利用多孔介质模型,在动量方程里添加多孔介质源项,对斜坡堤上铺设异型块体时的爬高与越浪进行了数值模拟,并通过模拟爬高值率定出FLUENT中多孔阻力系数与多种异形块体糙渗系数之间的关系,进而建立了可供实际应用的海堤上波浪爬高与越浪数值模型。  相似文献   

多孔介质中石油挥发过程研究     

马艳飞  郑西来  冯雪冬  李永霞 《中国海洋大学学报(自然科学版)》2011,41(9):53-58

根据齐鲁石化地区石油污染特点,模拟天然条件下,多孔介质中石油的挥发过程,通过差减法确定石油挥发量与时间的关系。结果表明,Elovich模型和零级动力学方程分别能很好描述多孔介质中汽油和柴油挥发动力学曲线,且汽油在粗砂中的挥发速率系数较在亚黏土中大,而柴油在亚黏土中的挥发速率系数是在粗砂中的2.0~2.5倍。采用线性方程和二项式分别表达多孔介质中汽油和柴油挥发速率系数随含油率增加而增加的趋势。汽油在亚黏土中较在粗砂中的挥发率低,但挥发率一般均在90%以上;经过10 d挥发后,柴油在亚黏土中挥发率为7.2%~37.8%,在粗砂中的挥发率为5.0%~14.0%。  相似文献   

含油多孔介质二维弥散特性初步研究     

张俊杰  郑西来  梁春  王宏宇 《中国海洋大学学报(自然科学版)》2011,41(10):17-22

为了研究含油多孔介质的二维水动力弥散特性,控制砂土中柴油和机油含油率为0、1%、2%,作为供试的含油多孔介质,采用自己设计的二维水动力弥散试验装置测定示踪剂(氯化钙)的穿透曲线,并定量确定了含油砂土的有效孔隙度、纵向弥散度、横向弥散度以及砂土中孔隙水的流速。试验结果表明,有效孔隙度随石油含量的增加而减小,而且含柴油砂土的有效孔隙度减小比含机油砂土更加显著;在纵向上,示踪剂浓度峰值的到达时间和峰值浓度的大小主要取决于孔隙水流速的大小,孔隙水流速越大,示踪剂达到浓度峰值的时间越短,且峰值浓度越大;含机油砂土的纵向弥散度小于清洁砂土,而含柴油砂土的纵向弥散度大于清洁砂土;不同含油率砂土的纵向弥散度变化范围为0.133～0.370cm,横向弥散度变化范围为9.83×10-3～4.64×10-2 cm,纵向弥散度均大于其横向弥散度。  相似文献   

多孔介质渗流力学理论研究现状及发展趋势     

孙婉 《上海国土资源》2013,(3)

多孔介质广泛存在于地下岩土结构、工程材料、生物体中,由于多孔介质微结构的复杂性,多孔介质渗流问题受到广泛关注。总结介绍了多孔介质渗流理论在国内外的研究现状,对多孔介质的描述、渗流问题的研究方法以及多孔介质中溶质运移、热量运移以及数值模型等方面的研究进展作了评述,并就多孔介质渗流理论在环境、农业、生态等领域的应用与发展方向提出看法。  相似文献