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基于离散单元法的裂隙岩体渗流场与应力场耦合特性研究

Research on the Coupling of Seepage Field and Stress Field in Fractured Rock Masses Based on the Distinct Element Method

【作者】 王艳丽

【导师】 李新平;

【作者基本信息】 武汉理工大学 , 岩土工程, 2007, 硕士

【摘要】 目前,随着经济的发展,人类的工程活动日益频繁,如岩体边坡的设计,水利水电工程的渗流与控制、水库诱发地震的控制、有害核废料的处置、矿井的疏干降压排水、石油和地热能的开发以及地下水资源的开发与利用等等,都涉及岩体作用力、岩体地应力、地下水渗透力的相互作用及其耦合问题。因此,研究岩体中地下水的活动规律以及渗流场和应力场的耦合问题,已成为岩土工程界普遍关注的课题,也是一项具有理论研究价值和实际工程应用背景的重大课题。本文在充分认识国内外裂隙岩体渗流场与应力场耦合研究的基础上,采用理论分析、数值模拟、工程应用相结合的方法,对裂隙岩体渗流场与应力场的相互作用进行了全面、深入的研究,主要研究成果如下:(1)总结和归纳了裂隙岩体渗流场与应力场耦合的数学模型,数值计算方法及耦合理论等方面的研究状况,对裂隙岩体渗流场与应力场耦合的等效连续介质模型、离散网络介质模型以及双重介质模型的特点和使用条件做了系统阐述和比较,并对他们的有限元求解方法进行了论述,指出了目前研究中存在的问题。(2)介绍了裂隙岩体渗流的基本理论。以Navier-Stokes方程为基础,推导了立方定律,在此基础上,推导出变隙宽裂隙渗流的基本方程,并对裂隙岩体渗流与应力的关系进行了总结。(3)建立了裂隙岩体渗流场与应力场耦合的离散元求解模型,并用离散元分析软件对单裂隙岩体渗流与应力的关系进行了数值模拟,表明孔隙水压力的存在且在较小的情况下则相当于抵消了一部分侧压,使闭合量变小。当孔隙水压力逐渐增大并超过某一值时,裂隙面的法向位移为正,裂隙张开。(4)对某节理裂隙岩体库岸边坡蓄水水位升高直至边坡破坏的过程进行了数值模拟,对这一过程中渗流场、位移场、应力场的变化情况进行了详细的分析研究,并对水位6m时的边坡采用耦合算法和非耦合算法分别进行了计算,把两种算法的计算结果进行了对比分析,结果表明:渗流场和应力场在一定条件下相互影响很大,不考虑耦合的结果是偏于不安全的。

【Abstract】 At present, with the development of economy, engineering activities of human being have become more and more frequent, such as the design of the rock slope, the control of the seepage in the water conservancy and hydropower project, the control of seism induced by reservoirs, the disposal of the hazardous nuclear waste, the relief of the water pressure and the drainage of the mine and the development of petroleum and geothermal energy development and utilization of groundwater resources, which all has relation with the interaction of the rock force, rock stress and the groundwater penetration and the coupling of them. Therefore the coupling analysis research of seepage and stress in fractured rock masses is a very valued but complicated task for discussion. This paper adopts such methods as theoretical analysis, numerical simulation and engineering application to investigate the coupling of stress field and seepage field in fractured rock masses roundly and thoroughly. Based on the existing studies in the field of seepage of rock masses both at home and abroad, the major results are as follows:(1) The existing achievements and research advances of the coupling of the seepage field and stress field in fractured rock masses are summarized. The advantages and disadvantages of all kinds of coupling models and the Finite Element Method for them are concluded and compared with each other. The problems existing in it at present have been put forward.(2) The fundamental seepage theory of the fractured rock masses is introduced. Based on the Navier—Stokes equation, the cubic law is deduced. By applying the cubic law to a non paralleled smooth wedge—shape walled fracture, the flow equation of it is derived the relation between stress and seepage in fractured rock masses is summarized.(3) The Distinct Element Method model of the coupling of seepage field and stress field in fractured rock masses is expatiated. UDEC based on the Distinct Element Method is used to simulate the relation between seepage and stress in single fractured rock masses. The results indicate that when the porous pressure is lower, the existing of which is equal to counteracting a part of side press and makes the closure quantity of the crack change small. When the porous pressure become larger gradually and exceeds one value, the joint normal displacement is positive and denoting opening.(4) The Distinct Element Method for the fractured rock masses is applied to a jointed slope. The water level is raised in stages until the slope becomes unstable. The changes of stress field, strain field and seepage field during this process are analyzed in details. When the water level is 6m, this paper adopts the coupling algorithm and the uncoupling algorithm to calculate the jointed slope. Comparing with the two algorithms, the results indicate that the seepage field and stress field affect each other greatly under given conditions and the uncoupling algorithm is unsafe during the engineering application.

  • 【分类号】TV223.1
  • 【被引频次】33
  • 【下载频次】1310
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