共查询到19条相似文献，搜索用时 218 毫秒
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岩土体的渗透破坏、地下工程的防渗设计等无不与渗流计算有关。针对渗流自由面问题,提出一种重心拉格朗日插值的配点型无网格方法。由于渗流自由面问题的求解区域是不规则区域,该方法通过将不规则求解区域嵌入一个正则矩形区域,在正则区域上采用重心拉格朗日插值近似未知函数,利用配点法离散渗流问题的控制方程,将重心拉格朗日插值的微分矩阵离散成代数方程表达的矩阵形式。将自由面上的边界条件通过重心拉格朗日插值离散,通过置换方程法和附加方程法施加边界条件,利用正则区域上的重心插值配点法,通过迭代确定最终自由面的位置。数值算例表明所提出的无网格方法对于求解渗流自由面问题的正确性和高精度。 相似文献
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针对无压渗流问题,在传导矩阵调整法的基础上,对穿越自由面的单元用复合单元来处理,每个复合单元具有两套结点水头,一套用于饱和区的水头插值;另一套则用于无水区。通过变分原理,推出了控制方程并在程序中实现。应用复合单元法可以较好地解决自由面的插值问题,消除了穿过自由面单元的水上部分对自由面附近结点水头的贡献,同时对逸出面边界条件的处理也更加方便和准确。算例表明了该方法的有效性。 相似文献
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提出了求解有自由面渗流问题的三维数值流形方法,通过构造任意形状流形单元的水头函数,推导了流形单元的渗透矩阵和无压渗流分析的总体控制方程,并给出了自由面的迭代求解策略和渗透体积力的计算方法。典型算例的数值分析表明,该方法采用数学网格覆盖整个材料区域,在自由面的迭代求解过程中数学网格保持不变,只考虑自由面以下渗流区的介质,只对自由面以下的流形单元形成总体渗透矩阵,具有精度高、收敛速度快、编程简单等优点,而且能够通过单纯形积分精确计算被自由面穿越单元的渗透作用力,因此,特别适用于有自由面渗流问题的模拟。 相似文献
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为了保证土坝安全,水利工程中需要对土坝进行渗流计算,首先需要确定自由面。根据达西定律和渗流连续方程,以及水头和流量边界条件,建立了不透水地基上的均质土坝渗流的计算模型。利用Geoslope软件,采用有限元离散的方法计算了土坝的渗流自由面,并分析了土坝在不同的渗透系数情况下的自由面位置的差异。最后,解析解计算的自由面结果验证了有限元计算自由面方法是正确的。 相似文献
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在三维非恒定渗流有限元计算中,不可避免地需计算自由面上的边界积分项。建议一种高精度数值积分的方法求取自由面边界积分项。其基本思路是,基于8节点空间等参单元,根据压力为零的边界条件确定自由面满足的曲面方程,将自由面边界积分转化为ξη平面上的二重积分;然后再计算自由面与三维等参单元的交点,将交点投影到局部坐标平面ξη上,并根据点与线的相对关系,确定投影点所围成的局部坐标积分区域;再将总积分区域划分成若干个三角形子区域,并利用变步长Simpson方法计算各三角形子区域上的二重积分,从而实现了高精度的自由面边界积分。该方法避免了单元中自由面为平面的假设,可提高计算精度,特别对于单元内自由面变化剧烈情况,更为显著。将该方法应用于砂槽模型和土坝的渗流分析中,计算结果与实际情况较为接近。 相似文献
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裂隙岩体因含有发育程度不同的裂隙、节理和断层等不连续面,致其渗透性具有各向异性、不连续性等特点,因此传统的有限元法对分布密集的裂隙岩体渗流场求解有一定的难度。本文提出了采用无单元Glaerkin法求解有自由面裂隙渗流问题,并推导了无单元法求解渗流场的基本方程和积分格式,给出了应用罚函数法处理渗流边界条件和自由面处理方法。采用IDL语言编制了二维无单元法计算软件LIDAREFM。文中以北京怀柔桥梓镇某裂隙岩体边坡渗流场计算为例,研究了复杂裂隙共同作用下渗流场特性和自由面分布,讨论了不同开度、不同连通程度的裂隙对渗流场的影响。研究结果表明:无单元法可以较好地解决有密集裂隙的岩体渗流场的求解问题,实现了裂隙处结点任意加密以及积分网格的独立布置,避免了对有自由面和裂隙穿越的子域的重新处理,简化了渗流问题的求解过程。 相似文献
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在岩土边坡、土坝、地下洞室及地下水运动等渗流分析中,均存在有渗流自由面问题。渗流自由面的确定,对于正确认识地下水在边坡稳定以及变形中地应用,了解地下水在边坡中的赋存特性及其运动过程等具有重大意义。本文用FLAC数值软件对影响渗流自由面的形态的相关参数,包括渗透系数、孔隙率、水头压力的大小、渗流路径长短、岩土体的各向异性程度等分别建模进行计算分析,得到相关结论。 相似文献
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A finite element procedure is developed to accurately locate the free surface of unconfined seepage flow through porous media. The free surface is taken as the boundary between wet and dry soils, with flow in the saturated region characterized by Darcy's law. The method involves equations and meshing which are fully consistent with a general formulation for geotechnical engineering problems involving simultaneous solution of pore fluid pressures and soil skeleton displacements. Accuracy and versatility of the proposed procedure are demonstrated by solving various unconfined seepage flow problems through earth structures. Free surfaces and flownets are presented for the calculated flow fields. 相似文献
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Investigation of a hybrid polygonal finite element formulation for confined and unconfined seepage 
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下载免费PDF全文 This study presents a formulation for field problems using hybrid polygonal finite elements, taking steady state seepage through a porous material as the focus. We make comparisons with a conventional finite element formulation based on a single primary variable, focussing on the advantages of the hybrid formulation in terms of flux field accuracy and extension to convex polygonal shaped elements. For the unconfined case, we adopt a head dependent hydraulic conductivity that does not require remeshing. The performance of the hybrid polygonal element formulation is demonstrated through a series of numerical examples. The results show a sensitivity of the location of the free surface in unconfined seepage to mesh configuration for hybrid quadrilateral meshes with various aspect ratios, but not for hybrid polygonal meshes with various orientations and irregularity. Examination of the free surface location results for several conforming shape function options shows an insensitivity to choice of interpolation function, provided that it conforms with the assumptions in the formulation. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
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A practical and efficient numerical scheme for the analysis of steady state unconfined seepage flows
The scaled boundary finite‐element method (SBFEM), a novel semi‐analytical technique, is applied to the analysis of the confined and unconfined seepage flow. This method combines the advantages of the finite‐element method and the boundary element method. In this method, only the boundary of the domain is discretized; no fundamental solution is required, and singularity problems can be modeled rigorously. Anisotropic and nonhomogeneous materials satisfying similarity are modeled without additional efforts. In this paper, SBFE equations and solution procedures for the analysis of seepage flow are outlined. The accuracy of the proposed method in modeling singularity problems is demonstrated by analyzing seepage flow under a concrete dam with a cutoff at heel. As only the boundary is discretized, the variable mesh technique is advisable for modeling unconfined seepage analyses. The accuracy, effectiveness, and efficiency of the method are demonstrated by modeling several unconfined seepage flow problems. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献
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An approach is presented for the analysis of the unconfined steady-state seepage through homogeneous trapezoidal dams based on a bijective mapping between the flow domain, having an unknown shape, and a fixed triangular domain. It is shown that the geometrically non-linear unconfined analysis is equivalent to the problem of determining the unknown distribution of permeability, within a triangular domain with known shape, that satisfies the set of transformed boundary conditions. The flow problem in the triangular domain is solved through a finite-element technique analogous to that adopted for confined analyses and, on the basis of this solution, the shape of the free surface in the physical space is evaluated. The proposed approach is applied to the determination of the influence of the water levels in the upper and lower reservoirs on the elevation of the free surface seepage point. 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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An approximate step-by-step procedure is presented for the finite element analysis of transient unconfined flow problems. At each step the free surface is modelled by means of segments coinciding with sides of the elements. This leads to an approximate but extremely simple solution scheme which can be readily incorporated into standard codes for confined analysis. The solutions of some significant problems are presented and compared with other non-approximate solutions. They show that the technique, in spite of its approximation, is capable of giving meaningful results from an engineering viewpoint. 相似文献
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面板堆石坝垂直缝破坏下三维渗流场有限元模拟 总被引：1，自引：0，他引：1
采用改进节点虚流量法求解无压稳定渗流场,并引入无厚度的裂缝模型对破坏的垂直缝渗流行为进行模拟,得到面板堆石坝裂缝渗流问题的有限元分析方法,并编制Fortran程序。以某混凝土面板堆石坝为例,计算了面板单一垂直缝破坏和多条垂直缝破坏条件下的三维渗流场,得到不同条件下渗流场的水头分布、浸润线以及渗漏量,系统分析了面板堆石坝在垂直缝破坏条件下的稳定渗流场规律和特点。结果表明,该方法能对渗流逸出点和浸润线进行准确定位,还能很好地模拟面板垂直缝破坏对坝区渗流场的影响,可以为面板堆石坝的接缝设计提供参考。 相似文献
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A finite element, variable mesh analysis of unconfined steady-state seepage problems is presented based on a nonlinear programming algorithm. It is shown that the minimization of an objective function which merely represents a measure of the total flux leaving or entering the mesh at the free surface nodes (except those that belong also to pervious boundaries) does not permit a unique definition of the free surface geometry. This problem, which is apparently related to the numerical instabilities often met when using variable mesh approaches, can be eliminated by adding to the objective function a term representing a sort of overall ‘regularity’ condition for the shape of the free surface. The modified solution procedure turns out to be stable and able to provide meaningful results for practical problems even when rather coarse meshes are adopted. 相似文献