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1.
饱和多孔介质材料的应变局部化萌生条件   总被引:2,自引:1,他引:1  
在单相介质和非渗流饱和多孔介质应变局部化萌生条件的基础上,应用饱和多孔介质控制方程和Liapunov稳定理论,导出了渗流条件下的固相应力-应变描述和有效应力-应变描述的多孔介质固相部分的应变局部化的萌生条件。不同应力描述下的萌生条件的形式有一定变化。应用简单算例,讨论了Terzaghi有效应力描述的应变局部化萌生条件中两种固、液相对运动特例下的饱和多孔介质应变局部化破坏的形式。  相似文献   

2.
松散砂粒孔隙结构、孔隙分形特征及渗透率研究   总被引:5,自引:2,他引:3  
多孔介质孔隙结构特征是决定流体微观运移机制的重要方面。文章用环氧树脂固结松散石英砂磨制出二维多孔介质薄片,并用孔隙结构图像处理方法提取出孔隙结构参数信息;根据孔隙结构参数,建立描述孔隙结构的分形几何模型,分析松散地层孔隙结构的分形特征;进行多孔介质渗透率的实验测量和分形计算。结果表明:多孔介质的孔隙率和孔径与粒径之间存在线性相关性,拟合度分别达到-0.976 5和0.996 6;在方格边长ε和含有孔隙的格子总数N(ε)的双对数坐标系中,lnε-lnN(ε)数据点近似成直线,且不同样品的孔隙分布分维数值比较接近;而在孔径r与大于该孔径的孔隙总数N(r)的双对数坐标系中,lnr-lnN(r)的数据点必须进行分段回归分析,以便能更好地反映孔隙结构的实际情况;孔隙分布分维数和孔径分维数与粒径也存在较高的对应关系;中砂渗透率的实验测得值是5.19×10-5mm2,孔径分维数分段回归法计算的大孔隙多孔介质渗透率为5.75×10-5mm2,测量值与计算值较为接近,孔径分维数可以计算多孔介质的渗透率。  相似文献   

3.
为了研究温度对水饱和边坡夹层力学参数的影响,将水饱和边坡夹层视为固-液两相的线弹性体,建立了水饱和边坡夹层热-孔隙水-力耦合作用的力学模型,并推导了其耦合控制方程;采用物理相似模拟的方法,建立了与边坡原型相似的试验模型,研究温度引起的边坡夹层力学参数的变化特征;通过比较分析理论计算结果与模型试验结果,验证了所建立的耦合力学模型的适用性。研究结果表明:孔隙水压力系数和热压力系数是引起水饱和边坡夹层孔隙水压力增加的关键控制因素;孔隙水压力系数取决于孔隙排水压缩特性和固相介质压缩特性,这两者差值越大,孔隙水压力系数越大;孔隙水热膨胀系数和孔隙体积热膨胀系数是影响热压力系数的主要因素,这两者差值越大,热压力系数也越大;边坡夹层孔隙水压力随温度升高呈现出先缓慢增加而后急剧增加的变化特征,而黏聚力和抗剪强度随温度升高而缓慢降低,且孔隙水压力的理论计算结果与试验测试结果吻合良好。因此,水饱和边坡夹层热-孔隙水-力耦合作用的力学模型能较好地反映孔隙水压力在加热升温过程中的变化特征,为科学地预测和控制类似边坡工程的稳定性提供了参考。  相似文献   

4.
大量的理论和实验研究证明,油气藏渗流力学中渗透率的分布、孔隙度的分布、裂缝性油气藏中裂缝网络的分布等许多现象都具有标度不变性。对气水两相在裂缝-孔隙模型和平面径向流模型中进行了微观渗流实验,对实验结果进行了黑白二值化处理,得到了其分形维数。在分形理论的基础上,建立了裂缝-孔隙介质中气水两相分形渗流的数学模型及差分模型。  相似文献   

5.
分数导数模型描述的饱和土桩纵向振动分析   总被引:7,自引:0,他引:7  
刘林超  杨骁 《岩土力学》2011,32(2):526-532
土体具有黏弹性性质,为了更好地考虑饱和土体固相土骨架的黏弹性性质,在分数导数理论和多孔介质理论的基础上,将土体视为液固饱和两相介质,并利用分数导数模型来描述饱和土固相土骨架的应力-应变关系,建立分数导数模型描述的饱和土的控制方程。在三维轴对称情况下,利用势函数和分离变量法研究了分数导数模型描述的饱和土中桩的振动问题。分析了模型参数对饱和土中桩的竖向振动的影响。研究表明,分数导数模型描述的饱和土的控制方程应用范围更广,模型参数对桩的竖向振动有较大的影响。  相似文献   

6.
为了研究温度对水饱和边坡夹层力学参数的影响,将水饱和边坡夹层视为固-液两相的线弹性体,建立了水饱和边坡夹层热-孔隙水-力耦合作用的力学模型,并推导了其耦合控制方程;采用物理相似模拟的方法,建立了与边坡原型相似的试验模型,研究温度引起的边坡夹层力学参数的变化特征;通过比较分析理论计算结果与模型试验结果,验证了所建立的耦合力学模型的适用性。研究结果表明:孔隙水压力系数和热压力系数是引起水饱和边坡夹层孔隙水压力增加的关键控制因素;孔隙水压力系数取决于孔隙排水压缩特性和固相介质压缩特性,这两者差值越大,孔隙水压力系数越大;孔隙水热膨胀系数和孔隙体积热膨胀系数是影响热压力系数的主要因素,这两者差值越大,热压力系数也越大;边坡夹层孔隙水压力随温度升高呈现出先缓慢增加而后急剧增加的变化特征,而粘聚力和抗剪强度随温度升高而缓慢降低,且孔隙水压力的理论计算结果与试验测试结果吻合良好。因此,水饱和边坡夹层热-孔隙水-力耦合作用的力学模型能较好的反应孔隙水压力在加热升温过程中的变化特征,为科学地预测和控制类似边坡工程的稳定性提供了参考。  相似文献   

7.
为了研究温度对水饱和边坡夹层力学参数的影响,将水饱和边坡夹层视为固-液两相的线弹性体,建立了水饱和边坡夹层热-孔隙水-力耦合作用的力学模型,并推导了其耦合控制方程;采用物理相似模拟的方法,建立了与边坡原型相似的试验模型,研究温度引起的边坡夹层力学参数的变化特征;通过比较分析理论计算结果与模型试验结果,验证了所建立的耦合力学模型的适用性。研究结果表明:孔隙水压力系数和热压力系数是引起水饱和边坡夹层孔隙水压力增加的关键控制因素;孔隙水压力系数取决于孔隙排水压缩特性和固相介质压缩特性,这两者差值越大,孔隙水压力系数越大;孔隙水热膨胀系数和孔隙体积热膨胀系数是影响热压力系数的主要因素,这两者差值越大,热压力系数也越大;边坡夹层孔隙水压力随温度升高呈现出先缓慢增加而后急剧增加的变化特征,而粘聚力和抗剪强度随温度升高而缓慢降低,且孔隙水压力的理论计算结果与试验测试结果吻合良好。因此,水饱和边坡夹层热-孔隙水-力耦合作用的力学模型能较好的反应孔隙水压力在加热升温过程中的变化特征,为科学地预测和控制类似边坡工程的稳定性提供了参考。  相似文献   

8.
基于孔隙网络模型的非水溶相液体运移实验研究进展   总被引:1,自引:0,他引:1  
陈家军  杨建  田亮 《地球科学进展》2007,22(10):997-1004
进行多孔介质中非水溶相液体(Non Aqueous Phase Liquids,NAPLs)运移的微观机理研究,微观孔隙网络模型实验是目前应用比较广泛且行之有效的方法。通过网络模型实验,获得对NAPLs在多孔介质中运移更深入的认识。从多孔介质孔隙结构测量、孔隙网络模型制作、NAPLs运移网络模型实验和数值模拟4个方面评述了该方向的研究进展,结果显示测量孔隙结构方法、图像刻蚀技术、可视化测量实验数据方法等有力地促进了本实验研究的发展。分析了孔隙网络模型实验存在的问题以及未来的发展趋势,对开展孔隙网络模型实验研究有一定的启发作用。  相似文献   

9.
分形多孔介质孔隙微结构参数与渗透率的分维关系   总被引:11,自引:0,他引:11       下载免费PDF全文
根据分形几何理论的基本概念,就无序分形多孔介质孔隙率φ和渗透率K与多孔介质结构分数维数Df的关系进行了推导,利用Sierpinski固相分形体(Solid mass fractal)与孔相分形体(Pore mass fractal)概念对分形多孔介质微结构特征、孔隙累积数量-尺寸分布和孔隙率φ等参数及其物理关系给予了详细论述,定量地分析和讨论了基于不同模型的渗透率-分形维数关系与它们的差异.  相似文献   

10.
油气勘探的重点是寻找油气储层的分布 ,而地下油气的存在必然对地震记录产生影响。传统的地震波理论是建立在纯弹性固体基础之上 ,没有考虑固体中所含的流体 ,因此 ,它难以研究含油水岩石的物理性质 ,如岩石的渗透率和孔隙度、油水粘度。从固、液介质系统能量和本构方程出发 ,推导出固体、油相和水相的动力学方程 ,进而建立起含油水两相流体各向异性孔隙介质的地震波传播方程。该方程包括有岩石和油水的物理参数 ,更适合于油田的勘探和开发。  相似文献   

11.
When fluid flows in porous media under subsurface conditions, significant deformation can occur. Such deformation is dependent on structural and phase characteristics. In this paper, we investigate the effect of multiphase flow on the deformation of porous media at the pore scale by implementing a strongly coupled partitioned solver discretized with finite volume (FV) technique. Specifically, the role of capillary forces on grain deformation in porous media is investigated. The fluid and solid subdomains are meshed using unstructured independent grids. The model is applied for solving multiphase coupled equations and is capable of capturing pore scale physics during primary drainage by solving the Navier-Stokes equation and advecting fluid indicator function using volume of fluid (VOF) while the fluid is interacting with a nonlinear elastic solid matrix. The convergence of the coupled solver is accelerated by Aitken underrelaxation. We also reproduce geomechanical stress conditions, at the pore scale, by applying uniaxial stress on the solid while simultaneously solving the multiphase fluid-solid interaction problem to investigate the effect of external stress on fluid occupancy, velocity-field distribution, and relative permeability. We observe that the solid matrix exhibits elasto-capillary behavior during the drainage sequence. Relative permeability endpoints are shifted on the basis of the external stress exerted.  相似文献   

12.
实际地球介质是相当复杂的.基于均匀的、连续介质模型建立的弹性波动理论可能导致对地球结构地震响应的不当解释, 有时可能是错误解释.由于没有更接近实际地球介质模型的波动理论, 许多有用的地震信息因得不到合理解释, 被作为噪音处理了.从等效介质角度来看, 储层介质可以划分为弹性区、粘性区、空白区(空白区是由孔隙、裂隙、结构面产生的介质性质弱化区) 组成的离散介质.在局部平均思想的指导下, 利用区间内聚定理建立起离散(储层) 介质的本构关系, 为建立更接近实际地球介质模型的波动理论提供了力学基础.   相似文献   

13.
A finite element model is developed for modelling coupled fluid expulsion/deformation behaviour of dewatering sediments subjected to external loadings under isothermal conditions. The non-linear deformation behaviour of the sediment (soil) skeleton is based on the force equilibrium equation in which the constitutive relationship of stress and strain is implemented by the modified Cam-Clay model in soil plasticity. The fluid flow behaviour in the model is described by the generalized porous media flow equation. The model allows temporal and spatial variations of porosity and permeability. The fluid viscosity and density are assumed to be temperature-dependent. The model also allows the development of single and multiple faults, depending upon the material (sediment and fluid) properties, loading and boundary conditions. Procedures are implemented for (1) updating the material properties such as porosity, permeability, fluid density and viscosity and (2) the development of faults which allow the formation of high-permeability conduits for fluid flow. The solution algorithm for displacements of the sediments and the excess pore (fluid) pressure is based on a residual load technique to handle the non-linear (elastic-plastic) deformation behaviour of the sediment skeleton. The model can be applied to one- and two-dimensional problems. Examples of a plane strain saturated sediment layer subjected to stepwise horizontal tractions versus time are given.  相似文献   

14.
Chalk and other porous rocks are known to behave differently when saturated with different pore fluids. The behavior of these rocks varies with different pore fluids and additional deformation occurs when the pore fluid composition changes. In this article, we review the evidence that behavior in porous rocks is pore‐fluid‐dependent, present a constitutive model for pore‐fluid‐dependent porous rocks, and present a compilation of previously published data to develop quantitative relationships between various pore fluids and mechanical behavior. The model proposed here is based on a state parameter approach for weathering and has similarities to models previously proposed for weathering‐sensitive rocks in that the values for parameters that characterize material behavior vary as a function of weathering. Comparisons with published experimental data indicate that the model is capable of reproducing observed behavior of chalk under a variety of loading conditions and changes in pore fluid composition. Copyright © 2008 John Wiley & Sons, Ltd.  相似文献   

15.
孔隙水在冻结过程中产生的冰结晶压力导致了多孔材料的冻胀及破坏。本文通过理论分析分别给出了不同形状晶体的结晶压力计算模型,并分析了经典结晶压力计算公式的使用条件。建立了降温过程中孔隙冰晶生长模型,实现冰晶生长过程中的孔隙变形计算,分析了晶核密度、孔径大小、荷载和冰晶体积对孔隙冻胀变形的影响机制。结果表明:起始孔隙直径和长宽比的增大对结晶变形抑制作用的机理在于减少了冰晶体积中膨胀结晶的比例。荷载对孔隙变形的抑制机制在于,荷载的增大迫使冰晶更多地横向生长(长宽比增大),导致膨胀结晶所占比例减小。孔隙中的晶体生长有完全填充模式和部分填充模式,在部分填充模式下,晶核密度、荷载和孔径的增大都会导致晶体在孔隙中的填充率增大,从而对孔隙结晶变形产生影响。本模型揭示了单个孔隙中冻胀变形机制,为解决多孔介质的冻胀变形与破坏问题提供了新的思路。  相似文献   

16.
In this paper, a fully coupled numerical model is presented for the finite element analysis of the deforming porous medium interacting with the flow of two immiscible compressible wetting and non-wetting pore fluids. The governing equations involving coupled fluid flow and deformation processes in unsaturated soils are derived within the framework of the generalized Biot theory. The displacements of the solid phase, the pressure of the wetting phase and the capillary pressure are taken as the primary unknowns of the present formulation. The other variables are incorporated into the model using the experimentally determined functions that define the relationship between the hydraulic properties of the porous medium, i.e. saturation, relative permeability and capillary pressure. It is worth mentioning that the imposition of various boundary conditions is feasible notwithstanding the choice of the primary variables. The modified Pastor–Zienkiewicz generalized constitutive model is introduced into the mathematical formulation to simulate the mechanical behavior of the unsaturated soil. The accuracy of the proposed mathematical model for analyzing coupled fluid flows in porous media is verified by the resolution of several numerical examples for which previous solutions are known. Finally, the performance of the computational algorithm in modeling of large-scale porous media problems including the large elasto-plastic deformations is demonstrated through the fully coupled analysis of the failure of two earth and rockfill dams. Furthermore, the three-phase model is compared to its simplified one which simulates the unsaturated porous medium as a two-phase one with static air phase. The paper illustrates the shortcomings of the commonly used simplified approach in the context of seismic analysis of two earth and rockfill dams. It is shown that accounting the pore air as an independent phase significantly influences the unsaturated soil behavior.  相似文献   

17.
贺文海  王通 《岩土力学》2020,41(8):2703-2711
饱和多孔介质的动力响应研究在众多工程领域具有重要意义。充分考虑孔隙率的变化规律与影响因素,有利于合理揭示饱和多孔介质的相关力学行为。为此,将动态孔隙率模型与用于表征饱和多孔介质动力特性的u-U-p型方程结合,构建相应的非线性力学模型,利用Comsol Multiphysis PDE求取相应的数值解,以此研究不同透水条件下,受谐波载荷激励的二维饱和土体的孔隙率、变形量及孔隙水压力的变化规律。结果表明:孔隙率的变化与土骨架的体应变及孔隙水压力直接相关,土体压缩过程中,孔隙率相应减小,土骨架与孔隙流体的相互作用增强,土体运动时所受阻力增大,其无量纲竖向位移小于孔隙率被视为常数时的情况,在此条件下,由于土体的变形量减小,其孔隙水压力也相对减小。故充分考虑动态孔隙率,有利于更加精确地研究等饱土体和多孔介质的相关力学行为。此外,土体上表面透水条件下,孔隙流体可以从土体表面自由排出,土骨架承受的载荷更大,与不透水条件相比,土体孔隙率、竖向位移、孔隙水压力等变化更为显著。  相似文献   

18.
The effective stress concept for solid‐fluid 2‐phase media was revisited in this work. In particular, the effects of the compressibility of both the pore fluid and the soil particles were studied under 3 different conditions, i.e., undrained, drained, and unjacketed conditions based on a Biot‐type theory for 2‐phase porous media. It was confirmed that Terzaghi effective stress holds at the moment when soil grains are assumed to be incompressible and when the compressibility of the pore fluid is small enough compared to that of the soil skeleton. Then, isotropic compression tests for dry sand under undrained conditions were conducted within the triaxial apparatus in which the changes in the pore air pressure could be measured. The ratio of the increment in the cell pressure to the increment in the pore air pressure, m, corresponds to the inverse of the B value by Bishop and was obtained during the step loading of the cell pressure. In addition, the m values were evaluated by comparing them with theoretically obtained values based on the solid‐fluid 2‐phase mixture theory. The experimental m values were close to the theoretical values, as they were in the range of approximately 40 to 185, depending on the cell pressure. Finally, it was found that the soil material with a highly compressible pore fluid, such as air, must be analyzed with the multi‐phase porous mixture theory. However, Terzaghi effective stress is practically applicable when the compressibilities of both the soil particles and the pore fluid are small enough compared to that of the soil skeleton.  相似文献   

19.
非饱和土土-水特征曲线预估方法研究   总被引:2,自引:0,他引:2  
在Wei等[1]基于多相孔隙介质非平衡渗流理论提出的多孔介质热动力学混合物理论模型的基础上,建立了一个能描述不考虑土骨架变形的非饱和土土-水特征曲线动态模型。依据非饱和土土-水特征曲线动态模型,推导出不考虑土骨架变形的气-水两相非饱和土的饱和度演化方程。利用饱和度演化方程并结合多步流动瞬态试验的成果,通过数值反演,提出了一种能利用多步流动瞬态试验数据快速确定非饱和土土-水特征曲线的方法。通过对低液限粉土及低液限黏土的多步流动瞬态试验研究发现,饱和度演化方程能较好地模拟非饱和土在小基质吸力步长变化下饱和度的变化规律。此外,通过对多步流动瞬态试验试样饱和度的模拟确定的非饱和土土-水特征曲线与联合测试系统测得的土-水特征曲线的结果较为一致。  相似文献   

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