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多尺度裂隙介质中的水流和溶质运移随机模拟研究

Stochastic Simulation Study of Flow and Solute Transport in Multi-Scales Fractured Media

【作者】 黄勇

【导师】 周志芳;

【作者基本信息】 河海大学 , 水文学及水资源, 2005, 博士

【摘要】 本文结合具体工程研究了裂隙介质中的水流和溶质运移规律,主要从模型的建立、方法的创新和工程的应用等方面作了深入的探讨,每部分内容都紧扣单裂隙和网络裂隙尺度进行了分析,同时所建立的模型和使用的方法都考虑了地质、水文地质要素(物理量)的随机性,通过研究取得了一些有益的成果。 基于裂隙几何要素的统计特征,应用Monte-Carlo方法随机生成裂隙网络系统。以裂隙交叉处作为节点,节点与节点之间的裂隙当作线单元,根据单裂隙立方体定律和质量守恒原则,建立了裂隙网络中水流运动的数学模型,并推导了数学模型的数值解法。同时自行开发研制了岩体裂隙地下水流数值模拟程序,主要由前处理部分程序Disc.for,计算程序Netw.for和后处理程序Vector.for组成,可以单独使用,也可以结合起来使用。 根据研究的实际问题进行了裂隙介质非均质各向异性的全耦合,与传统的耦合方法相比,该方法充分考虑了裂隙面几何要素的随机性。主要有两种耦合方式:其一是介质各向异性耦合,即用离散裂隙网络模型描述主干裂隙中的水流运动,用等效连续介质模型描述次要裂隙和孔隙中的水流运动。其二是非均质耦合,将研究区域按裂隙发育的情况进行分区,不同的分区使用不同的数学模型—区域分解算法。 提出了一种裂隙岩体模型参数识别的混沌遗传混合优化方法,该方法结合了混沌优化和遗传算法的优点,增大了搜索的范围又具备跳出局部最优的能力,算例表明混合优化方法很快能搜索到目标函数的最优值。 分别应用了改进的随机步行法和仿真模拟技术来模拟裂隙网络中的溶质运移,前者中时间步长采用自动调整的方式,避免了时间步长选得不合理而导致模拟结果的不准确,主要应用于单裂隙和平面网络裂隙的模拟;后者基于概率统计的方法进行研究,主要应用于平面和三维裂隙网络中。 将所建立的水流模型和使用的方法应用到实际王程中,取得了满意的结果。

【Abstract】 In the paper, based on concrete engineering, laws of flow and solute transport are researched in fractured media. Some aspects involved in model constitution, methods innovation and engineering application are discussed detailedly. Furthermore, these contents are analyzed in single fracture and network fracture scales. Simultaneously, in the course of constituting model and using methods, randomness of geological and hydro-geological features, physical parameters, is taken into account. As a result, some beneficial results are obtained.Based on the statistic characteristics of fractured geometrical elements, fracture network system is made by the Monte-Carlo method. Fracture intersection points are acted as nodes, and fractures between nodes are regarded as linear element. According to cubic law of single fracture and mass conservation principle in fracture network, the seepage mathematics model for discrete fractured network is developed in fractured rock mass. Furthermore, the calculation of the model is, also, put forward. The numerical simulation programs of groundwater movement in fractured rock mass are explored and developed by the author. The programs are involved in preprocess program Disc.for, calculation program Netw.for, and post-process program Vector.for, which can be used independently or together.According to research problems, complete couple of inhomogeneous anisotropy is made in fractured media. Compared it with traditional couple, the couple methods adequately takes randomness of fractured geometrical characteristics into account. There are two couples for different problems. One is couple of anisotropy media, that is to say, flow movement of artery fractures is described by discrete fractured network model. At the same time, it of ramification fractures and pore by equivalent continuous media model. The other is couple of inhomogeneity. It divides research region into many parts according to growth of fractures. And different mathematical models are used in different parts, which is domain decomposition algorithm.A chaos-genetic hybrid numerical algorithm of model parameters identification is putforward in fractured rock mass. It combines the advantages of chaos optimization and geneticalgorithm and expands range of search. Further, the method is of ability of jumping localoptimization. Cases show it can search the optimization values of objection function quickly.Modified stochastic walk method and emulation simulation technique are applied tomodeling solute transport in fractured network. Time step of the former is adjusted automatically, which can avoid artificial factors of defining time step, as rationality of time step has an important effect on simulation results. It is usually applied to simulation of single and planar network fracture. The latter makes full use of the laws of probability statistics, and mainly applied to simulation of planar and three dimension network fractures.At last, constituting model and using methods are applied to practical engineering, and satisfactory results are obtained.

  • 【网络出版投稿人】 河海大学
  • 【网络出版年期】2005年 02期
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