水平面渗流有限元中利用接触单元模拟悬挂式阻水结构

区域性渗流场由于范围大,通常忽略掉竖向的水头损失而用水平面二维有限元进行分析,但在城区区域渗流场中悬挂式阻水结构物量多,竖向绕流现象突出,用一般水平面二维有限元进行分析将产生较大的偏差。针对这一问题在悬挂式结构体周边引入一层无厚度界面接触单元。在水平面有限元中利用它考虑因竖向绕流产生的局部水头损失。利用阻力系数的方法和二维状态下截面突变流道流动的解析解,同时考虑防渗墙本身的弱透水性,推导了接触单元的导水矩阵。应用接触单元编制了相关程序,在水平面有限元中利用接触单元对悬挂式阻水结构进行分析,并将结果与三维有限元进行比较,两者的计算结果在流量上保持一致,在水头上前者是后者在同一位置处沿高程方向平均值。提出的该计算方法,对于用水平面二维有限元分析含有悬挂式阻水结构的大区域渗流问题,是一个有效的手段。     

城区渗流场中建筑物间缝隙有限元简化分析方法

为解决城区渗流场中缝隙多、区域的大尺度与物体的小尺寸相差了几个数量级,有限元分析上存在的困难,根据缝隙流动的解析解,经适当地简化,将缝隙附近的渗流场分为缝外区和缝内区两部分,将缝外区流动简化为一个半径为半缝宽的井流,缝内区流动简化为一个均匀流。引入附加阻力系数,考虑缝隙出入口附近的由于过水断面突然变化而引的局部水头损失,并得到附加阻力系数的表达式。利用该式,结合渗流场中井点水头的修正公式,得到了能有效模拟渗流场中建筑物间缝隙的修正线单元公式。利用该线单元编制了相关程序模拟城区渗流场中的缝隙,使得缝隙出入口处的网格尺寸为缝隙两边的建筑物边长1/3～1/4时就能得到较为准确的结果,避免了区域性渗流场中小尺寸物体的网格划分问题,通过算例验证了该公式的精度和边界适应性。     

城区渗流场中建筑物间缝隙有限元简化分析方法

为解决城区渗流场中缝隙多、区域的大尺度与物体的小尺寸相差了几个数量级，有限元分析上存在的困难，根据缝隙流动的解析解，经适当地简化，将缝隙附近的渗流场分为缝外区和缝内区两部分，将缝外区流动简化为一个半径为半缝宽的井流，缝内区流动简化为一个均匀流。引入附加阻力系数，考虑缝隙出入口附近的由于过水断面突然变化而引的局部水头损失，并得到附加阻力系数的表达式。利用该式，结合渗流场中井点水头的修正公式，得到了能有效模拟渗流场中建筑物间缝隙的修正线单元公式。利用该线单元编制了相关程序模拟城区渗流场中的缝隙，使得缝隙出入口处的网格尺寸为缝隙两边的建筑物边长1/3～1/4时就能得到较为准确的结果，避免了区域性渗流场中小尺寸物体的网格划分问题，通过算例验证了该公式的精度和边界适应性。     

地下工程复杂渗流场数值模拟研究与应用

结合地下工程复杂渗流场三维有限元分析的实际 ,用渗透张量模拟非均匀各向异性 ,用改进丢单元法迭代自由水面 ,用隐性的复合材料单元模拟断层 ,用隔水层模型模拟防渗帷幕 ,用以沟代井模拟排水井列。在此理论基础上编制了渗流分析的三维有限元计算程序。且用此程序成功求解了漫湾水电站二期工程地下厂房围岩的复杂渗流场 ,并在此基础上分析渗流场分布的主要影响因素的影响。结果验证了程序的合理性和实用性     

Numerical simulation of groundwater flowing to horizontal seepage wells under a river

A horizontal seepage well, consisting of an interconnected vertical well, galleries, chambers and small-diameter radiating bores, is used to acquire relatively clean water that has been filtered through natural alluvial deposits in a riverbed. It has wide application, especially in arid and semi-arid areas. The lack of calculation formulae or models for horizontal seepage wells, up until now, has resulted in several false applications. Based on the analysis of groundwater flow characteristics, it has been concluded that several flow regimes coexist and hydraulic head loss exists in the horizontal seepage well. To avoid the difficulty of confirming the flux or head distribution in such a complex system, the model boundary of the whole horizontal seepage well has been moved to that of just the vertical well, and the well-aquifer system was treated as a heterogeneous medium, where the horizontal seepage well itself is a highly permeability medium. A mathematical model has been developed, based on the coupled seepage-pipe flow, by the introduction of equivalent hydraulic conductivity according to different flow regimes. Then a three-dimensional finite difference numerical model, based on the mathematical model, was developed and applied to a horizontal seepage well in China. The numerical model verified the groundwater flow characteristics of the horizontal seepage well. An erratum to this article can be found at     

均质非饱和土一维稳态流水头垂直分布的解析解

渗流场水头分布计算是进行渗流量和渗流水力坡降计算的基础,准确、有效地求取渗流场水头分布是渗流计算的关键环节。对均质非饱和土体一维稳态流的流动方程进行分析,考虑到渗透系数是与基质吸力相关的函数,通过数学变换,给出了稳定渗流场的解析通式,并基于渗透性函数中的Gardner模型,给出了非饱和土一维稳态流水头垂直分布的解析解。该解析通式表明,均质非饱和土一维稳态流水头垂直分布主要受地表水头、深度和流动率3个因素控制。分别计算了一维稳态蒸发条件下粉土和黏土两种典型土类水头沿垂直方向的分布。计算结果表明：稳态蒸发条件下粉土层和黏土层内的水头分布表现出相似的变化规律,即自地表至地下水位处随着土层深度的增加,水头分布呈现出加速递减的趋势;在相同的蒸发条件下,对于相同深度处的黏土和粉土而言,黏土层内水头更高些;对同一种土类而言,在较大的蒸发状态下同一深度处土层内水头更高。反之,则较低。     

面板堆石坝垂直缝破坏下三维渗流场有限元模拟

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。     

基于零厚度内聚力单元的水力裂缝随机扩展方法研究

为有效模拟裂缝性页岩储层中水力裂缝随机扩展过程,基于单元节点的拓扑数据结构,利用网格节点分裂方式,建立了一种基于有限元网格嵌入零厚度内聚力单元的水力裂缝随机扩展新方法。利用KGD模型解析解和2种室内试验,验证了新方法的准确性和有效性。同时,通过数值算例研究了水平地应力差和储层非均质性对水力裂缝随机扩展过程的影响。研究表明:(1)该方法弥补了ABAQUS平台内置的内聚力单元无法有效模拟水力裂缝随机扩展的不足;(2)在较高水平地应力差下页岩储层非均质性越强,与水力裂缝相交的高角度天然裂缝越容易开启。所建方法能准确地描述复杂水力裂缝的随机扩展行为,可为裂缝性页岩储层的数值模拟提供新手段。     

Transient infinite elements for seepage problems in infinite media

In this paper, a time-dependent infinite element which can be used to simulate transient seepage problems in infinite media is presented. The hydraulic head distribution function of the element has been derived in detail and the property matrices of the element have been well formulated. Since both space and time variables are used in the course of constructing the hydraulic head distribution function of the element, the present infinite element can be referred to as a transient one. Using the present infinite element to model the far field of a system, the mechanism of transient seepage problems in infinite media can be rigorously simulated because the property matrices of the element are evaluated at any time of interest in the analysis. Since explicit expressions can be written for the property matrices of the infinite element, they may be evaluated quite easily and this can be carried out by writing a simple subroutine in a computer program. In order to examine the accuracy and efficiency of the present infinite element, both a one-dimensional (ID) transient seepage problem in a semi-infinite medium and a 2D transient seepage problem in a full plane have been solved using the finite and infinite element technique. It has been demonstrated that the present infinite element is very useful for the numerical simulation of transient seepage problems in infinite media.     

含节理黄土渗流数值模型研究

本文建立了在考虑黄土中有节理存在时,水分场数值计算的有限元方法。采用质量守恒的观点推导了质点元中饱和度的变化与流速的关系。进而利用达西定律得到以水头为变量的渗流基本方程。针对黄土垂直节理的渗流特点,确定了节理渗流基本方程中的参数。采用四边形等参元,利用Galerkin加权余量法建立考虑节理影响的黄土非饱和渗流的有限元形式。对局部水头边界条件下的黄土节理二维水分入渗问题进行了数值分析。结果表明,节理对黄土场地湿润峰的迁移有很大影响。     

流场法探测土石坝渗流矢量分布的有效性分析

利用电流场的电势微分控制方程与渗流场的流速势微分控制方程的相似性原理,流场法通过检测电流场的分布来确定渗流场,并能快速查明堤坝的管涌渗漏入口。为了更精确地描述土坝管涌的渗流分布及渗流方向,可以测试迎水面和背水面的水平方向与垂直方向的电位差,模拟渗流的矢量分布。从电流密度、电位微分及电位微分绝对值等方面,阐述了矢量流场法模拟渗流矢量分布的基本原理,并以某土石坝渗漏探测为例开展了验证工作。结果显示,矢量流场法可以有效揭示土石坝的渗流等级及渗流方向,结合流场法和矢量流场法探测成果,可为查明土石坝渗漏入口、渗流等级及渗流方向提供新的思路。      

岩体软弱夹层渗透变形试验及三维有限元数值模拟

渗透变形或渗透破坏是由潜蚀强烈发展而出现的一种特有的不良地质作用,本文结合某大型水电工程坝基存在的软弱夹层,在现场取样试验,研究了这些软弱夹层在渗透水流作用下发生渗透变形的方式和程度,并以试验成果为基础,根据水工建筑物的布置以及上下游水头差等条件,采用数值模拟的方法模拟软弱夹层的水力梯度分布情况以及软弱夹层与上下两盘基岩中的水力梯度分布,为坝基防渗设计提供依据。     

An element for modeling potential channel flows between impervious underground structures in an urban regional groundwater flow field

In an urban regional groundwater flow field, the presence of thousands of channels between impervious structures makes the field difficult to simulate using the finite-element method (FEM), because the scale of the field is usually several orders of magnitude larger than that of the channels. To overcome this problem, a simple element for the simulation of potential channel flows has been developed. This element works with linear triangular elements and can be easily implemented in a finite-element code to simulate the channel flows with a sparse mesh without a loss of global accuracy. The transmissivity matrix of this element is deduced from the analytical solution for channel flow. The application of the element is discussed, and the accuracy of the element is assessed. The element makes it easy to merge small structures that are close to each other into a larger one that can be modeled with a sparse mesh.     

软土地层浅埋圆形隧道非达西渗流场解析研究

软土在低水力坡降下的渗流会偏离达西定律,即为非达西渗流模式。假设孔隙水渗透服从指数渗流模式,采用镜像法原理推导了浅埋单孔和双孔圆形隧道非达西渗流场的解析解。结合算例,对浅埋圆形隧道非达西渗流解析解与达西渗流解析解进行了对比分析与验证,并对非达西渗流指数、隧道周围土体与衬砌渗流系数比值对隧道渗流场的影响进行了讨论。结果表明：非达西渗流指数、渗流系数比值对隧道渗流量和周围土体孔压均有较大的影响;随着渗流指数逐渐增大,土体内水头损失加快,隧道周围土体孔压及渗流量逐渐减小;随着土体与衬砌渗流系数比值逐渐增大,衬砌排水能力增强,隧道渗流量逐渐增大,隧道周围土体孔压减小更大。     

渗透各向异性圆形围堰稳态渗流场解析解

对渗透各向异性土层中的圆形围堰渗流场进行解析研究。将圆形围堰周围渗流场分为3个区域,通过坐标变换以及将边界条件齐次化后,用分离变量法分别得到柱坐标系下3个区域的水头分布级数解形式,结合区域间的连续条件,并利用贝塞尔函数正交性得到渗透各向异性土层中圆形围堰稳态渗流场的显式解析解,与Plaxis2D软件的计算结果进行对比,验证了解析解的正确性。基于解析解,进一步推导出了涌水量、出逸比降公式,并与不同方法的计算结果作了对比,最后对稳态渗流情况下的水压力进行了计算分析。结果表明：相比于其他近似法,解析解求取的流量、出逸比降以及渗流情况下水压力与数值计算结果高度吻合;渗流水压力会随着围堰半径、纵横向渗透系数比值的增大而减小,而后逐渐趋近于一个稳定值。     

潜水回水初始阶段的定性半定量分析及对水跃成因的解释

文章提出并采用水力坡度分析方法,对潜水回水初始阶段进行了定性-半定量分析,为了解潜水回水过程提供了新的视角。通过分析潜水回水初始时刻的水力坡度,河渠侧的界面被分为2段:河间潜水位之上的铅直段和之下的水平段。水平段上点的水力坡度最大且相等,方向为水平向右;铅直段上点的水力坡度方向趋于铅直向下,越向上水力坡度越小。经过微小时间段Δt后,水力坡度均相应变小,铅直段相邻点间地下水运动发生冲突,水力坡度方向由趋于铅直向下向右偏转。将水力坡度分析方法用于分析潜水井流的过程和特征,水跃的成因可解释为:在相同水力坡度和过水断面面积下,井内大空间水流速度远大于孔隙中的潜水流速度,井内水位急速下降,从而形成水跃;水跃越大,进入井内的流量就越大。     

Effect of Excavation-Induced Groundwater Level Drawdown on Tunnel Inflow in a Jointed Rock Mass

Analytical and empirical methods used in current engineering practice for estimating inflow rate into a tunnel do not adequately account for the effect of groundwater level drawdown which triggers changes of the flow pattern as well as reductions of the hydraulic head. When there is no reservoir or a large body of water near the tunnel alignment, the groundwater recharge above the tunnel might not be fast enough to avoid a significant excavation-induced water level drawdown. This paper provides analytical methods for estimating groundwater inflow rate taking into account the groundwater table drawdown. The proposed analytical solutions presented here compare well with field observations as well as with results from numerical analysis using distinct element method which can adequately simulate the hydro-mechanically coupled behavior of joints in a rock mass.     

Analytical solution for transient groundwater flow during slug test in vertical cutoff walls

An analysis method for transient groundwater flow during slug tests performed in vertical cutoff walls is presented. The analytical solution for evaluating hydraulic conductivity of vertical cutoff walls is derived by applying the method of images to the previously developed analytical solution that is exclusively applicable to an infinite aquifer. Two distinct boundary conditions are considered to account for the configuration of the vertical cutoff wall: the wall‐soil formation interfaces with or without the existence of filter cakes, that is, constant‐head boundary and no‐flux boundary conditions. A series of type curves is constructed from the analytical solution and compared with those of a partially penetrated well within an aquifer. The constant‐head boundary condition provides faster hydraulic head recovery than the aquifer case. On the other hand, the no‐flux boundary condition leads to a delayed hydraulic head recovery. The greater the shape factor and well offset from the center of the cutoff wall, and the smaller the width of the cutoff wall, the greater the effect of the boundary condition observed in the type curves. This result shows the significance of considering proper boundary conditions at the vertical cutoff wall in analyzing slug tests. Copyright © 2014 John Wiley & Sons, Ltd.     

岩体裂隙网络渗流变水温影响分析

考虑岩体裂隙渗流变水温影响,推导单裂隙变水温水流近似解析解和有限元解,在此基础上分别建立裂隙二维网络变水温渗流数值求解方程,分别对应裂隙网络变水温渗流分析的近似解析法和子结构法。分析变温水流运动规律发现：（1）单裂隙内水流水头与水力坡降成非线性关系,当水流由高温区向低温区流动时,水头分布曲线为凸曲线,此时按线性渗流简化水头整体偏小;当由低温区向高温区流动时,水头分布曲线为凹曲线,此时按线性渗流简化水头整体偏大。（2）单裂隙内,高水温处水力坡降小,低水温处水力坡降大;裂隙平均水温越高,流速越快;裂隙网络内存在与裂隙宽度相似的温度偏流效应,即交叉节点水流有偏向水流温度高的裂隙流动的趋势。在温度较高和温度梯度较大的区域,应该考虑水流温度变化对渗流场的影响。     

基于饱和渗透系数空间变异结构的斜坡渗流及失稳特征

以往研究一般采用单随机变量方法（SRV）或基于水平或垂直方向波动范围生成的空间变异随机场来模拟岩土参数的空间变异性,对具有倾斜定向特征的空间变异随机场未有涉及.基于条件模拟相关理论和非侵入式随机有限元的理论框架,提出了利用序贯高斯模拟方法进行斜坡参数条件随机场模拟并运用有限元方法进行斜坡渗流和稳定性分析的方法.针对理想边坡,对各向同性和几何各向异性的共7种空间变异结构的饱和渗透系数（K_s）各进行了200次条件随机场模拟,基于条件随机场模拟结果进行了有限元渗流和稳定性计算,对每种空间变异结构多次计算结果进行了统计分析.结果表明:本文所提出的方法不仅再现了研究区域参数的空间二阶统计特性,通过设定变异函数参数进行不同空间变异类型、变异程度、变异定向性的随机场模拟,同时利用现场观测数据对随机场模拟结果进行条件限制,从而提高了随机场的赋值精度;K_s的空间变异结构对孔隙水压力的分布规律、地下水位线变化范围、稳定性系数和最危险滑动面分布特征均有一定程度的影响.本研究为库岸斜坡稳定性评价提供方法支撑.