共查询到19条相似文献，搜索用时 406 毫秒
1.
讨论了求解地下水模型（不流模型和不质模型）的Ｎｅｕｍａｎｎ展开Ｍｏｎｔｅ－Ｃａｒｌｏ随机有限元法，从基本的随机变量入手，避免了过程中随机变量的增多问题，出结点水头（浓度）的均值。方差和水产砂在某的概率计算方法；改进了矩阵求逆的效率，对输入随机变量较多，随机变量变异较大的晨稳定地下水问题特别有效。同时选取二承压地下不水流问题（有解析解）作为例子，进行了随机数值模拟实验。 相似文献
2.
潜水水流的动态随机模拟是一个复杂而难解决的问题.通过建立二维潜水非稳定流模拟的摄动随机有限元模型, 把控制方程的主要参数渗透系数和给水度随机变量、及源汇项和边界条件看作随机变量.在充分考虑4种随机因素的条件下, 推导出求解潜水二维非稳定流均值和方差的9个方程; 重点介绍了不同方程数值离散的特殊处理方法.通过设定理想例子对模拟结果进行了分析, 表明随机变量中边界条件值方差、渗透系数方差变化对水头方差变化的影响很小, 给水度方差的变化对水头方差的变化影响很大.本模型考虑因素全面, 对一般的潜水非稳定流随机模拟都可应用.本研究给出了边界、渗透系数、给水度的随机因素对潜水动态模拟的影响, 丰富和补充了地下水运动的随机理论. 相似文献
3.
将土壤或含水层的介质参数视为随机分布,建立了饱和非饱和水流运动的随机微分方程,利用随机数值求解方法,得到各种随机参数对水头分布和含水量空间变异性的影响。分析结果表明,随着渗透系数空间变异性和相关尺度的增大,含水层水头分布的变异性增大;对于区域内有抽水井分布的问题,在井点附近区域,z向水流速度空间变异性大,而在井点处变异性较小。当采用Gardner-Russo模型描述非饱和水分特征时,其非饱和土壤介质参数α的变异性对土壤负压和含水量变异性的影响大于饱和渗透系数,土壤含水量越小,含水量的空间变异性越大。初步讨论了根据随机数值方法研究地下水运动问题的可靠性分析方法。 相似文献
4.
5.
6.
自Tóth提出地下水流系统理论以来,大多学者基于定水头上边界的解析解或数值模拟研究地下水流系统发育特征,尤其是多级水流系统模式。认为复杂的盆地"地形势"就会发育多级地下水流系统,简单地形发育单一地下水流系统。利用自主研发的地下水流系统砂槽模型进行系列实验发现,实验条件下(模型尺寸、介质和多个河谷不变)水流系统的发育受控于降水入渗强度。得出随着降水入渗强度的增大,水流系统模式由单一的区域水流系统,到复杂的多级次水流系统,再到局部的水流系统的结论;盆地多个势汇中,只有实际成为地下水排泄点的汇势才能影响地下水流系统模式,而其他的势汇只是可能的潜在势汇。实验表明,用定流量上边界(降水入渗强度)能够更好地揭示盆地地下水流系统模式发育与变化机理。 相似文献
7.
地下水流数值模拟是定量研究地下水水量和水质的重要手段。为揭示有限单元法水头反常现象形成的原因,以三维非均质模型为例,刻画了水头反常现象。储量集中法(Lumped Mass方法)是有限单元法中储释水量计算的替代算法,可以改善水头反常现象。对结点控制区域的均衡性质进行了研究,分析了使用Lumped Mass方法时的水头反常现象,结果表明:结点控制区域的对流量计算受到该结点所在层及其相邻层水力坡度的影响;在抽水初始阶段,抽水井结点水头快速下降,导致相邻层中相邻结点控制区域的侧向流入量为正值,控制区域为储水过程,结点水头上升,表现出水头反常现象。因此,有限单元法中对流量的计算是引起水头反常现象的原因。 相似文献
8.
地下水开采—地面沉降模型研究 总被引：27，自引：5，他引：22
本文建立三维流支－－一维非线性固结地面沉降模型,在混合井流,降雨滞后补给,初始水头形成,人为边界刻画,水流－固结耦合及软土层固结滞后于地下水开采层水头变化等方面有所改进,所建模型用于苏州市,模拟出若干地面沉降重要特征,地面沉降中心偏离地下水漏斗中心,地面沉降动态滞后于地下水的水头动态,软土层渗透系数随固结过程的变化及头在软土层中的传递特征。 相似文献
9.
地下水水平井流的模型及数值模拟方法—考虑井管内不同流态 总被引：10，自引：4，他引：6
评述用线汇刻画水平井管可能存在的问题, 并用理想模型证明.提出考虑井管不同流态(线性流与非线性流) 水流阻力的水平井流的模型, 并将内边界取在水平井的出水口处, 避免了采用线汇刻画水平井管时假定其流量分布和水头分布的困难.运用作者提出的等效渗透系数的概念与确定方法, 将水平井-含水层系统视为含有圆柱形透镜体的非均质含水层, 给出新的水平井流的数学模型.求解了一个理想模型, 得出河下水平井开采地下水的动态. 相似文献
10.
本文介绍了基于MIS和GIS的国内外地下水数值模拟模型的发展.以北京市为研究区,在分析研究区自然地理、水文地质和应用需求基础上,提出采用浏览器/服务器(B/S)与客户机/服务器(C/S)体系结构相结合的方式,建设地下水基础信息库,将研究区概化为非均质各向同性三维非稳定地下水流系统;提出采用"稳定+相对静态+动态"的思路,找到信息系统与地下水流模型输入文件之间的数据接口,通过建立MODFLOW程序的输入文件建立水流数值模型,实现将地下水流模型与信息系统集成,探索地下水数值模拟一体化平台建设和应用. 相似文献
11.
A new perturbation technique and finite-element method, which incorporates an undetermined-coefficients approach, is proposed to conduct stochastic simulation for problems of groundwater flow. Formulas of the mean value and variance of groundwater head are derived to exclude the process of computing the first and second-order derivatives of groundwater head with respect to stochastic variables (coefficient of transmissibility, storage coefficient, etc.) in the calculation process of common finite element methods. For ordinary stochastic groundwater problems, the statistical properties of groundwater head can be easily obtained by using the proposed method, which is especially efficient for the stochastic problems that have fewer input stochastic variables. A stochastic numerical simulation of a two-dimensional confined-groundwater flow problem has been conducted to validate effectiveness and determine the limitations of the proposed method. The results illustrate that the accuracy and efficiency of the method proposed are satisfactory, and that the computing time is shorter when there is a small number of input stochastic variables. 相似文献
12.
The currently adopted rainfall-based design flood estimation method in Australia, known as design event approach (DEA), has a flaw that is widely criticized by the hydrologists. The DEA is based on the assumption that a rainfall depth of a certain frequency can be transformed to a flood peak of the same frequency by adopting the ‘representative values’ of other model input variables, such as temporal patterns and losses. To overcome the limitation associated with the DEA, this paper develops stochastic model inputs to apply Monte Carlo simulation technique (MCST) for design flood estimation. This uses data from 86 pluviograph stations and six catchments from eastern New South Wales (NSW), Australia, to regionalize the distributions of various input variables (e.g., rainfall duration, inter-event duration, intensity and temporal patterns and loss and routing characteristics) to simulate thousands of flood hydrographs using a nonlinear runoff routing model. The regionalized stochastic inputs are then applied with the MCST to two catchments in eastern NSW. The results indicate that the developed MCST provide more accurate flood quantile estimates than the DEA for the two test catchments. The particular advantage of the new MCST and stochastic design input variables is that it reduces the subjectivity in the selection of model input values in flood modeling. The developed MCST can be adapted to other parts of Australia and other countries. 相似文献
13.
Some of the available stochastic finite element methods are adapted and evaluated for the analyses of response of soils with uncertain properties subjected to earthquake induced random ground motion. In this study, the dynamic response of a soil mass, with finite element discretization, is formulated in the frequency domain. The spectral density function of the response variables are obtained from which the evaluation of the root-mean-squared and the most probable extreme values of the response are made. The material non-linearities are incorporated by using strain compatible moduli and damping of soils using an equivalent linear model for stress–strain behaviour of soils and an iterative solution of the response. The spatial variability of the shear modulus is described through a random field model and the earthquake included motion is treated as a stochastic process. The available formulations of direct Monte-Carlo simulation, first-order perturbation method, a spectral decomposition method with Neumann expansion and a spectral decomposition method with Polynomial Chaos are used to develop stochastic finite element analyses of the seismic response of soils. The numerical results from these approaches are compared with respect to their accuracy and computational efficiency. © 1998 John Wiley & Sons Ltd. 相似文献
14.
渗流场随机性的随机有限元分析 总被引：3，自引：0，他引：3
基于一阶Taylor随机有限元法,推导出相应的渗流场随机分析中渗流响应量（水头和水力梯度）的随机响应公式,进而实现三维稳定渗流场随机有限元分析,并编制了相应的程序。在分析中,将渗流区域材料的渗透张量视为三维各向异性随机场,利用三维可分离向量随机场的局部平均法对随机场进行离散,根据参数选取的不同,可以离散出不同数量的随机变量。最后,给出一个算例,对离散出随机变量数量不同的情况分别进行随机分析,将分析结果和仅仅将渗透张量视为三维随机变量得到的结果对比,验证了所提方法的可行性。 相似文献
15.
Khadidja Boukharouba 《Arabian Journal of Geosciences》2013,6(7):2193-2201
Algeria is a semi-arid country where water resources are not sufficient to cope with the important socio-economic development demands. Any sustainable development strategy is basically dependent on a rigorous management of water resources potential, which presents a true challenge to be tackled for such countries. Classic mathematical models based on time invariability and ignorance of the stochastic and non-linear nature of hydrological variables are not sufficient for simulation and prediction studies. The present study subscribes to the stochastic hydrological processes modeling and prediction in case of time-varying linear systems through adaptive Kalman filter (KF) methodology. It focuses upon stream flows as a water resources component, which is directly related to the socio-economic development meanwhile it opts for Kalman filter as principal tool of work. The main objective is the application of (KF) technique to model and predict annual streamflow volumes in Northern Algeria and the obtained results are satisfactory. 相似文献
16.
A systematic approach is needed to use water more productively, because water shortages limit socio-economic development in many parts of the world. The aim of this paper is to establish a surrogate-based simulation–optimization approach to identify parameter values for a fully integrated surface water and groundwater flow coupling simulation. A surface water and groundwater flow coupling simulation model was implemented using HydroGeoSphere (HGS) model and the parameter sensitivities in the model were analyzed using local sensitivity analysis method. The parameters that exerted a large influence on the output results of the HGS model were then selected as stochastic variables, and the stochastic variable data sets were generated using the latin hypercube sampling (LHS) method, which, thereby, were used as inputs in HGS model to obtain the corresponding outputs. On the basis of input and output data sets, a kriging surrogate model of the HGS model was then established and verified, and parameter values of HGS model were identified using a surrogate-based simulation–optimization approach. The results of this study show that parameters that exert a large influence on the simulation output results include hydraulic conductivity, porosity, the van genuchten parameter (\(\alpha\)), and channel manning coefficient. The established kriging surrogate model is an ideal alternative to the HGS model for simulating and predicting, while optimal parameter values can be identified effectively and accurately using the established approach. The results of this research reveal that huge computational loads can be mitigated while using the kriging surrogate as an alternative for a simulation model in the solution process of optimization model. 相似文献
17.
提出基于非侵入式随机有限元法的边坡可靠度分析方法,并编写计算程序NISFEM。采用有限元滑面应力法计算边坡安全系数,将Hermite随机多项式展开与SIGMA/W和SLOPE/W模块有机结合实现边坡可靠度非侵入式随机分析。根据随机多项式展开系数,给出边坡安全系数前4阶统计矩（均值、标准差、偏度和峰度）和Sobol指标解析表达式,并采用Sobol指标进行边坡可靠度参数敏感性分析。最后,以均质土坡可靠度问题为例,证明该方法在边坡可靠度分析中的有效性。结果表明,边坡可靠度分析的非侵入式随机有限元法能够有效地考虑边坡变形对边坡可靠度的影响,计算效率远远高于蒙特卡罗模拟方法（MCS）,是解决复杂边坡可靠度问题一种有效地分析手段;黏聚力和内摩擦角变异性对边坡安全系数前四阶统计矩具有明显的影响,重度变异性对安全系数前4阶统计矩几乎没有影响;抗剪强度参数间负相关性对边坡安全系数均值几乎没有影响,但对安全系数标准差、偏度和峰度均有明显的影响。此外,随着抗剪强度参数间负相关性的增加,边坡安全系数由近似正态分布逐渐变为明显的非正态分布。 相似文献
18.
对白杨水源地的地质和水文地质条件进行简要论述,在此基础上建立了二维潜水地下水水流和水质的数学模型。根据渭河水位、水质、降水量等随机变量的特征,选取Ｍｏｎｔｅ－Ｃａｒｌｏ随机模拟方法对水源地潜水的水流和氯离子浓度进行了评价和预测,求出了潜水水位和氯离子浓度的均值及方差,并对氯离子浓度超过１００ｍｇ／Ｌ的概率给出了定量预测,得出了水源地投产后总输水管道中水的氯离子浓度与渭河水中氯离子浓度密切相关等结论。 相似文献
19.
Soil erosion by water is a significant problem in arid and semi-arid areas of large parts of Iran. Water erosion is one of the most effective phenomena that leads to decreasing soil productivity and pollution of water resources; especially, in the Mazayjan watershed in the southwest of Fars Province gully erosion contributes to the sediment dynamics in a significant way. Consequently, the intention of this research is to identify the different types of soil erosion processes acting in the area and to assess the process dynamics in an integrative way. Therefore, we applied GIS and satellite image analysis techniques to derive input information for the numeric models. For sheet and rill erosion the Unit Stream Power-based Erosion Deposition Model (USPED) was utilized. The spatial distribution of gully erosion was assessed using a statistical approach, which used three variables (stream power index, slope, and flow accumulation) to predict the spatial distribution of gullies in the study area. The eroded gully volumes were estimated for a 7-year period by fieldwork and Google Earth high-resolution images. Finally the gully retreat rates were integrated into the USPED model. The results show that the integration of the SPI approach to quantify gully erosion with the USPED model is a suitable method to qualitatively and quantitatively assess water erosion processes. The application of GIS and stochastic model approaches to spatialize the USPED model input yields valuable results for the prediction of soil erosion in the Mazayjan catchment. The results of this research help to develop an appropriate management of soil and water resources in the southwestern parts of Iran. 相似文献