共查询到15条相似文献，搜索用时 171 毫秒
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《岩土力学》2017,(3):762-768
Signorini型变分不等式在求解有出渗点的渗流自由面问题时,消除了出渗点的奇性,克服了网格的依赖性。在迭代求解过程中多采用约束迭代法,这种数学约束比较严格,对于自由面穿过的单元计算不容易收敛,会造成结果在两种解中震荡。笔者在变分不等式的基础上修改了迭代公式,对数学约束进行了修改,建立了变带宽的迭代方法。通过修改迭代算法提高了Signorini型变分不等式方法的数值稳定性,同时减少了迭代时间。地下厂房开挖后地下水会从洞室的边墙渗出,临界出渗点的确定对分析渗漏量和排水孔效果起到关键作用。通过对工程中开挖边界和排水孔边界的渗流计算模拟分析,证明了改进迭代算法后的Signorini型变分不等式在复杂非线性强的三维渗流计算中收敛性较好。 相似文献
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岩体裂隙网络非稳定渗流分析与数值模拟 总被引：1，自引：0，他引：1
针对裂隙岩体的非稳定渗流问题,通过将Darcy定理扩展到包含干区的整个裂隙网络区域,并令潜在溢出边界条件为Signorini型互补边界条件,将湿区上的非稳定渗流问题转化为全域上的一个新的初边值问题。为降低试探函数选取的难度,建立与定义在整个裂隙网络区域上的偏微分方程（PDE）提法等价的抛物型变分不等式（PVI）提法,并给出裂隙网络非稳定渗流分析的有限元数值分析格式和迭代算法,与砂槽模型试验数据的对比分析,验证其有效性。最后,将文中发展的计算方法应用到含复杂裂隙网络的边坡非稳定渗流分析,计算结果很好地反映出边坡内部自由面随库水降落的变化规律,并能准确地描述裂隙网络内部渗流运动特征及流量分布的不均匀性。 相似文献
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含自由面的无压渗流问题本质上是一类非线性自由边值问题,固定网格的结点虚流量法在全域范围内不断扣除虚域流量贡献,从而使该问题得到求解。它具有网格依赖性小、出逸点收敛快等优点,但其内在理论基础尚未被完全揭示。通过引入互补型约束条件建立了结点虚流量法和Signorini型变分不等式提法的等价性桥梁,在此基础上引入过渡区放大系数 对自由面判别准则进行优化,并以砂槽模型试验为例进行验证。对比结果表明,优化后算法数值稳定性更好,计算结果与试验数据吻合度更高。研究成果为超大规模网格的渗控结构优化设计提供了有效分析手段。 相似文献
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《岩土力学》2017,(11):3332-3340
针对裂隙岩体的非饱和渗流问题,基于离散裂隙网络模型并结合非饱和Darcy定律、Richards方程、非饱和本构模型以及Signorini型饱和-非饱和互补溢出边界,提出了离散裂隙网络非饱和渗流问题的数学模型。采用有限单元法建立了裂隙网络非饱和渗流模型的数值求解格式和对应的迭代算法。通过与矩形坝稳定渗流、一维竖直裂隙非饱和入渗以及室内二维瞬态排水渗流的试验、数值及理论结果对比分析,验证了文中算法的有效性;根据流量等效原则,指出了裂隙网络模型应用于求解连续介质非饱和渗流问题的有效性。验证了该算法对于求解裂隙边坡降雨入渗问题的可靠性,揭示了降雨入渗过程裂隙网络流量分布的非均匀性及裂隙产状对降雨入渗流动具有重要的控制作用。 相似文献
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面板坝垂直缝及止水失效渗流场有限元模拟 总被引：2，自引：0，他引：2
以金川面板堆石坝为例,用有限元方法计算了当面板缝及止水局部失效时各种工况下的渗流场,系统分析了大坝在面板垂直缝及止水局部失效后的稳定渗流场的规律和特点。采用无厚度的二维平面单元来模拟面板垂直缝及止水结构周边缝,同时采用理论上严密的Signorini型变分不等式方法进行求解,此方法能对渗流出渗点和浸润线进行准确定位。通过分析计算结果,指出了面板缝及止水结构周边缝的失效位置,失效缝宽对等势线、浸润线以及渗漏量的影响。为面板堆石坝接缝的设计提供参考。 相似文献
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文章利用GMS中的FEMWATER模块,根据研究区的工程地质与水文地质条件,建立了三维有限元数值模型。用FEMWATER在稳定流情况下对该模型进行了多种工况计算,分析了排水廊道对研究区三维渗流场的影响与各种工况下的渗流场状况,并计算了相应的排水廊道排水量。计算结果显示,FEMWATER对复杂水文地质条件下的三维有限元模型建立非常有效,计算的排水系统排水量远小于设计排水量,可以将排水廊道的设计尺寸适当调小。 相似文献
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卡拉水电站坝区渗流控制效应精细模拟与评价 总被引：1，自引：0，他引：1
卡拉水电站坝址区河谷狭窄,岸坡陡峻,地质条件复杂,渗漏问题突出。为减小卡拉坝区渗漏并改善大坝的渗透稳定性,工程设计采取防渗帷幕、排水孔幕和排水洞等防渗排水措施。采用子结构、变分不等式和自适应罚函数相结合的方法（简称SVA方法）,结合典型溢流坝段与坝区整体渗流场分析成果,评价卡拉大坝及坝基渗流控制方案的合理性,并论证其优化的可能性。研究表明：①防渗帷幕有效雍高了帷幕上游侧岩体内的地下水位、增加了绕坝渗流的渗径长度并降低了坝基的扬压力,排水系统则显著降低了坝体内的孔隙水压力以及坝基扬压力;②排水孔幕间距对坝体内的自由面分布有着显著影响,排水孔幕间距取3.0～4.5 m是合适的。 相似文献
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This paper proposed a numerical formulation for unsaturated flow problems with nonlinear boundaries of seepage face and soil–atmosphere interface via the concept of parabolic variational inequality (PVI) method. A unified unilateral boundary condition was first proposed to represent the conditions on the seepage face and soil–atmosphere interface boundaries within the partial differential equation (PDE) formulation. A PVI formulation mathematically equivalent to the PDE formulation was then proposed, which automatically transforms the flux part of the unified unilateral boundary condition into the natural boundary condition and eliminates the singularity at seepage points. By discretizing the PVI formulation, a finite element procedure together with an iterative algorithm was suggested. An existing experiment of unsaturated flow in a layered hillside and a laboratory test of unsaturated flow through sand flume performed in this study were used to validate the proposed method, with a good agreement between the measured and computed results and a satisfactory balance of mass being maintained during the simulations. The numerical results also indicated that the problem of mesh dependence associated with unsaturated flow simulations is well addressed with the proposed numerical method. Finally, the process of unsaturated flow in a soil slope with layers of horizontal drains subjected to rainfall/evaporation was further examined. The numerical results reveal that the deployment of drains in a soil slope can significantly lower the pore water pressure around the drains, with the bottom layer drains being most effective in controlling the seepage flow. 相似文献
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By extending Darcy's law to the dry domain above the free surface and specifying the boundary condition on the potential seepage surfaces as Signorini's type, a partial differential equation (PDE) defined in the entire domain of interest is formulated for non‐steady seepage flow problems with free surfaces. A new parabolic variational inequality (PVI) formulation equivalent to the PDE formulation is then proposed, in which the flux part of the complementary condition of Signorini's type in the PDE formulation is transformed into natural boundary condition. Consequently, the singularity at the seepage points is eliminated and the difficulty in selecting the trial functions is significantly reduced. By introducing an adaptive penalized Heaviside function in the finite element analysis, the numerical stability of the discrete PVI formulation is well guaranteed. The proposed approach is validated by the existing laboratory tests with sudden rise and dropdown of water heads, and then applied to capture the non‐steady seepage flow behaviors in a homogeneous rectangular dam with five drainage tunnels during a linear dropdown of upstream water head. The non‐steady seepage flow in the surrounding rocks of the underground powerhouse in the Shuibuya Hydropower Project is further modeled, in which a complex seepage control system is involved. Comparisons with the in situ monitoring data show that the calculation results well illustrate the non‐steady seepage flow process during impounding and the operation of the reservoir as well as the seepage control effects of the drainage hole arrays and drainage tunnels. Copyright © 2010 John Wiley & Sons, Ltd. 相似文献
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海岸泥沙起动的力学机理十分复杂。首先理论分析了波浪作用下床面泥沙颗粒所受的主要作用力,然后将上举力和有效重力分别与渗流力进行比较分析。计算结果表明渗流力随着波高的变化其方向也发生向上或向下的变化,渗流力与上举力和有效重力之间存在着相位差,不同粒径的泥沙在一个周期内均有一时段渗流力远大于上举力;对于渗透系数小的细颗粒泥沙,渗流力远大于泥沙颗粒的上举力和有效重力。进一步通过水槽试验分析了不同波浪参数作用下孔隙水压力梯度对泥沙起动的影响,试验结果表明波浪渗流力对海床细颗粒泥沙的起动有着重要作用,特别是在分析长周期波浪作用下细颗粒泥沙起动规律时,需考虑波浪引起的渗流力影响。 相似文献
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Seepage problems with complex drainage systems are commonly encountered in civil engineering, with strong non-linearity. A numerical solution based on the Finite Element Method combining the substructure technique with a variational inequality formulation of Signorini’s type is proposed to solve these problems. The aims of this work are to accurately characterize the boundary conditions of the drainage systems, to reduce the difficulty in mesh generation resulting from the drainage holes with small radius and dense spacing, and to eliminate the singularity at the seepage points and the resultant mesh dependency. Numerical stability and robustness of the proposed method are guaranteed by an adaptive procedure for progressively relaxing the penalized Heaviside function associated with the formulation of the discrete variational inequality. Two challenging numerical examples are presented to validate the effectiveness and robustness of the proposed method. 相似文献