About Darcy's law in non-Galilean frame

This paper is aimed towards investigating the filtration law of an incompressible viscous Newtonian fluid through a rigid non-inertial porous medium (e.g. a porous medium placed in a centrifuge basket). The filtration law is obtained by upscaling the flow equations at the pore scale. The upscaling technique is the homogenization method of multiple scale expansions which rigorously gives the macroscopic behaviour and the effective properties without any prerequisite on the form of the macroscopic equations. The derived filtration law is similar to Darcy's law, but the tensor of permeability presents the following remarkable properties: it depends upon the angular velocity of the porous matrix, it verifies Hall–Onsager's relationship and it is a non-symmetric tensor. We thus deduce that, under rotation, an isotropic porous medium leads to a non-isotropic effective permeability. In this paper, we present the results of numerical simulations of the flow through rotating porous media. This allows us to highlight the deviations of the flow due to Coriolis effects at both the microscopic scale (i.e. the pore scale), and the macroscopic scale (i.e. the sample scale). The above results confirm that for an isotropic medium, phenomenological laws already proposed in the literature fails at reproducing three-dimensional Coriolis effects in all types of pores geometry. We show that Coriolis effects may lead to significant variations of the permeability measured during centrifuge tests when the inverse Ekman number Ek⁻¹ is 𝒪(1). These variations are estimated to be less than 5% if Ek⁻¹<0.2, which is the case of classical geotechnical centrifuge tests. We finally conclude by showing that available experimental data from tests carried out in centrifuges are not sufficient to determining the effective tensor of permeability of rotating porous media. Copyright © 2004 John Wiley & Sons, Ltd.     

考虑扩散路径的宾汉姆流体渗透注浆机制

浆液在多孔介质中的扩散路径对渗透扩散范围和注浆效果具有非常重要的影响。采用理论分析,以分形特征与宾汉姆流体在多孔介质中的渗流运动方程为基础,揭示了考虑扩散路径的宾汉姆流体渗透注浆机制,并利用团队前期开展的渗透注浆试验对其进行了验证。分析了多孔介质孔隙率、宾汉姆水泥浆液水灰比、多孔介质渗透系数、注浆压力、地下水压力等对扩散半径的影响变化规律。同时,基于Comsol Multiphysics平台,采用计算机编程技术二次开发得到了考虑扩散路径的宾汉姆流体渗透注浆机制的渗透注浆三维数值模拟程序,并以此开展了宾汉姆水泥浆液在多孔介质中渗透扩散形态效果的数值模拟。研究结果表明：与不考虑扩散路径的宾汉姆流体渗透注浆球形扩散公式获得的扩散半径理论计算值相比,采用考虑扩散路径的宾汉姆流体渗透注浆机制得到的扩散半径理论计算值更接近试验值。该研究成果可为实践注浆工程提供一定的理论支撑。     

高压注浆渗流解析分析

根据高压注浆渗流的数学模型,推求出注浆体区和原水体区的压力分布公式,以及停止注浆后井底压力消退情况。分析了注浆井底压力与注浆时间、注浆液粘度的关系以及与渗透率的关系;建立了注浆井底压力和水灰比的经验关系,对灌注桩高压注浆补强工程具有良好的指导意义。      

考虑黏度时变性的水泥浆液盾构壁后注浆扩散规律及管片压力模型的试验研究

对水泥浆液黏度时变性进行了试验研究,证实了工程常用水灰比范围内水泥浆液服从宾汉姆流体特性;不同水灰比浆液黏度均随注浆时间增大而大幅度增加。根据试验结果,考虑注浆过程中水泥浆液黏度随时间的变化,对盾构壁后注浆水泥浆液的扩散规律及因注浆而造成的管片压力进行了推导及分析。计算表明：相同注浆时间条件下,水泥浆液扩散半径及注浆对管片产生的压力值均随注浆压力的增大而增大。考虑浆液黏度时变性后,扩散半径、注浆对管片压力值等均较不考虑浆液时变性时减小,且随注浆压力的增大,浆液黏度变化对管片压力值的影响更加明显。相同注浆压力条件下,浆液扩散半径及对管片产生的压力值均随注浆时间的增长而增加,但注浆前期增长速度较快,而后逐渐减缓。研究成果对于盾构壁后注浆工艺选择及参数设计具有较大的指导意义。     

Coupling between anisotropic damage and permeability variation in brittle rocks

In this paper, a coupled constitutive model is proposed for anisotropic damage and permeability variation in brittle rocks under deviatoric compressive stresses. The formulation of the model is based on experimental evidences and main physical mechanisms involved in the scale of microcracks are taken into account. The proposed model is expressed in the macroscopic framework and can be easily implemented for engineering application. The macroscopic free enthalpy of cracked solid is first determined by approximating crack distribution by a second‐order damage tensor. The effective elastic properties of damaged material are then derived from the free enthalpy function. The damage evolution is related to the crack growth in multiple orientations. A pragmatic approach inspired from fracture mechanics is used for the formulation of the crack propagation criterion. Compressive stress induced crack opening is taken into account and leads to macroscopic volumetric dilatancy and permeability variation. The overall permeability tensor of cracked material is determined using a micro–macro averaging procedure. Darcy's law is used for fluid flow at the macroscopic scale whereas laminar flow is assumed at the microcrack scale. Hydraulic connectivity of cracks increases with crack growth. The proposed model is applied to the Lac du Bonnet granite. Generally, good agreement is observed between numerical simulations and experimental data. Copyright © 2005 John Wiley & Sons, Ltd.     

黑山煤田封堵涌水孔段的浆液和注浆方法

黑山煤田处于沙漠边侧,地层有纯砂粒构成的、透水性较強的中细砂层,这类地层中如含有承压水时,会发生钻孔涌水,对于中细砂涌水钻孔,用泥浆冲孔时,可通过适当增大泥浆相对密度,来压制地下水涌出,ZK18-28孔是涌水孔,也是采用绳索取心钻进的孔,因此不宜使用高相对密度泥浆。用套管亦未奏效。若用注浆法,对于中细砂层是不适用水泥浆的。而溶液型浆液的注浆封堵中细砂层,在技术有可行性,对于涌水压力不大的孔,又有可用低强度,因而也是低成本的浆液,因此选择了比较亷价的水玻璃类的SPN浆液,并采用双隔离塞的注浆法,在ZK18-28孔中取得了封堵中细砂涌水层的初步封堵效果。     

多孔介质中水泥浆三维锋面特征研究

深层渗滤效应普遍存在于多孔介质的渗透注浆过程中,并起着非常重要的作用。基于质量守恒方程、线性滤过定律、渗流连续性方程及Darcy定律,建立了水泥浆三维锋面的理论模型;通过现场试验,研究了水泥浆三维锋面扩散运移及沉积层渗透系数的变化规律,并将试验值与模型理论值进行了对比分析。结果表明,沉积层渗透系数随水泥浆锋面的扩散运移动态变化;当注浆压力恒定时,水灰比越小,深层渗滤效应越显著,浆液扩散距离相应越短;相同扩散距离时,受重力效应的影响,注浆点源之上的沉积层渗透系数大于注浆点源之下的沉积层渗透系数;浆液扩散距离及固定位置处的沉积层渗透系数均与水灰比呈正相关。研究成果可指导工程设计,具有一定的实际应用价值。     

An expression for the permeability of anisotropic granular media

There are many expressions proposed for the permeability of isotropic media based on flow channel and pore size distribution concepts, but there are no such expressions for anisotropic media. In this paper an expression for the permeability of an anisotropic medium is proposed, which has been verified in the laboratory. The mechanism behind fluid flow through soil was investigated using microscopic computer simulations to propose an expression for macroscopic permeability. The soil was assumed to be a spatially periodic porous medium, and the Navier-Stokes equation was solved using the FEM with appropriate boundary conditions for several different arrangements of the porous medium. The basic variables influencing flow through soil at the microscopic level were identified as specific surface area, void ratio, particle shape, material heterogeneity and the arrangement of particles in a porous medium. A sensitivity analysis was carried out to obtain an expression for the permeability in terms of the above variables. The corresponding macroscopic variables for the above microscopic variables are average specific surface area, average void ratio, anisotropy, tortuosity due to material heterogeneity, and the arrangement of particles respectively. An expression for the directional permeability is proposed in terms of these variables for the most common occurrence of particles in a porous medium. For the verification of the proposed equation, the permeability values of a fine-grained sand were measured at different void ratios and were compared with those predicted by the proposed equation. The results show that the predicted permeability values from the proposed equation are very close to the measured values.     

牛顿流体柱-半球面渗透注浆形式扩散参数的研究

文献检索表明：目前国内外还没有一个能较准确地计算牛顿流体柱-半球面渗透注浆形式扩散参数（如半球体部分扩散半径与柱体部分扩散高度等）的理论公式,导致理论远滞后于工程应用。以牛顿流体流变方程及渗流运动方程为基础,研究了牛顿流体柱-半球面渗透注浆形式半球体部分扩散半径与柱体部分扩散高度的理论计算公式;分析了牛顿流体的流变性、注浆压力、地下水压力及配置流体的水体温度对牛顿流体柱-半球面渗透注浆形式半球体部分扩散半径与柱体部分扩散高度的影响;并设计注浆试验对其进行验证。结果表明：由牛顿流体柱-半球面渗透注浆形式半球体部分扩散半径与柱体部分扩散高度的理论公式计算得到的半球体部分扩散半径和柱体部分扩散高度理论值与注浆试验实测值间虽有30%左右的差异,但它们都处于可接受误差范围内。因此,研究成果可为实际注浆施工提供理论支撑与指导作用。     

Homogenization of a Darcy–Stokes system modeling vuggy porous media

We derive a macroscopic model for single-phase, incompressible, viscous fluid flow in a porous medium with small cavities called vugs. We model the vuggy medium on the microscopic scale using Stokes equations within the vugular inclusions, Darcy's law within the porous rock, and a Beavers–Joseph–Saffman boundary condition on the interface between the two regions. We assume periodicity of the medium and obtain uniform energy estimates independent of the period. Through a two-scale homogenization limit as the period tends to zero, we obtain a macroscopic Darcy's law governing the medium on larger scales. We also develop some needed generalizations of the two-scale convergence theory needed for our bimodal medium, including a two-scale convergence result on the Darcy–Stokes interface. The macroscopic Darcy permeability is computable from the solution of a cell problem. An analytic solution to this problem in a simple geometry suggests that: (1) flow along vug channels is primarily Poiseuille with a small perturbation related to the Beavers–Joseph slip, and (2) flow that alternates from vug to matrix behaves as if the vugs have infinite permeability.     

微生物矿化作用改善岩土材料性能的影响因素

基于微生物诱导碳酸钙沉淀作用（MICP）的土体改性技术近年来在岩土工程领域引起了人们的广泛关注。该技术在改善岩土材料的强度、刚度、抗液化、抗侵蚀及抗渗透性等性能的同时,还能维持土体良好的透气性和透水性,改善植物的生长环境。由于微生物矿化作用涉及一系列生物化学和离子化学反应,固化过程中的反应步骤较多,因此,MICP固化效果受许多因素的制约与影响。基于大量文献资料,系统总结了细菌种类、菌液浓度、温度、pH值、胶结液配比及土的性质等关键因素对微生物改善岩土材料性能的影响,讨论了这些影响因素的优化方式和未来的研究方向,主要得到了以下几点结论：菌种类型、菌液浓度、温度、pH、胶结液性质会从微观上影响碳酸钙的晶体类型、形貌和尺寸,进而在宏观层面影响岩土体的胶结效果;菌液浓度尽可能高、温度在20～40℃间、pH值在7.0～9.5左右、胶结液浓度在1 mol/L以内的因素条件对微生物加固岩土体具有较好的效果。上述范围内的低温、较高的pH值、低浓度胶结液有助于提高土体的抗渗性,而高温、较低的pH值以及中高浓度胶结液有助于提高土体的强度;MICP加固土体的有效粒径范围为10～1 000 ?m,相对密度越大、级配越好则加固效果越好。分步灌浆法、多浓度相灌注法及电渗灌浆法有助于提高土体固化均匀性,0.042 (mol/L)/h以下的注浆速度有利于提高胶结液利用率,砂土试样的灌浆压力一般在10～30 kPa之间,粉黏土试样的灌浆压力不宜超过110 kPa,过高的灌浆压力会破坏土体结构,降低固化效果。     

高活性粉煤灰注浆材料在实际工程中的应用

高活性粉煤灰是一种新型注浆材料,本文结合工程实际,系统介绍了高活性粉煤灰作为注浆材料的性能,并与水泥浆材料进行了多方面的应用比较。得出了高活性粉煤灰的成本低、渗透性好等优点,值得推广应用。     

岩体裂隙动水注浆扩散半径影响试验

水灰比与注浆压力是动水注浆设计中的关键因素,基于自主设计的模拟裂隙动水注浆室内试验平台,开展了裂隙动水注浆试验,探讨了浆液在裂隙中的扩散方式,分析了纯水泥浆液扩散半径与注浆压力和水灰比之间的联系,并通过计算流体力学软件模拟对试验结论进行了验证。研究结果表明:浆液的扩散方式为分区扩散,注浆压力不变时,扩散半径与水灰比成反比;水灰比不变时,扩散半径与注浆压力成正比。      

Chloride transfer in cement‐based materials. Part 1. Theoretical basis and modelling

In this first part of the work, we develop macroscopic models for migration and diffusion–migration of ionic species in saturated porous media, based on periodic homogenization. The prior application is chloride transport in cementitious materials. The dimensional analysis of Nernst–Planck equation lets appear to dimensionless numbers characterizing the ionic transfer in the porous medium. Using experimental data obtained from electrodiffusion tests on cement‐based materials (Part II), these dimensionless numbers are linked to the perturbation parameter ?. For a strong imposed electrical field, the asymptotic expansion of Nernst–Planck equation leads to a macroscopic model where the migration is predominant. For a weak imposed electrical field or in natural diffusion, we obtain a macroscopic model coupling diffusion and migration at the same order. In both models, the expression of the homogenized diffusion tensor is identical and only involves the geometric properties of the material microstructure. Copyright © 2012 John Wiley & Sons, Ltd.     

砂土介质注浆渗透扩散试验与加固机制研究

设计了一套可视化砂土介质恒压注浆渗透扩散与加固模拟试验装置。选用普通硅酸盐42.5水泥（OPC）、超细硅酸盐水泥（MC）、超细硫铝水泥（MSAC）及自主研发材料（EMCG）,对砂土多孔介质进行了注浆渗透扩散与加固试验。研究了细砂土体不同浆液、注浆压力工况下扩散距离、注浆量随时间变化规律,以及不同浆液、砂样级配及注浆压力对加固效果影响。采用极差分析法确定了加固效果主控因素,获得了加固体宏观破坏模式,通过SEM分析了岩-浆界面微观加固模型,揭示了不同材料加固效果差异的本质原因。研究结果表明：注浆材料与颗粒质量分数主导着细砂土体可注性,注浆压力对可注性提高程度不大,EMCG可注性最强,MC、MSAC次之,OPC最差;在完全可注情况下,砂样级配越细,加固体强度改善效果越明显;EMCG材料加固体7、28 d强度明显高于MSAC、MC、OPC加固体;EMCG的7 d加固体强度达到28 d参数70%以上;注浆材料主导着注浆加固效果,EMCG对不同级配砂土体注浆加固效果显著优于其他水泥类材料,OPC最差;注浆后EMCG浆-岩界面生成的致密C-S-H凝胶体能够有效提高胶结强度。最后从注浆材料选型、注浆过程控制、钻孔布置方面对砂土层渗透注浆设计方法提出了工程治理改进建议。     

Modeling permeability in imperfectly layered porous media. I. Derivation of block-scale permeability tensor for thin grid-blocks

Practical expressions are given for the nine components of the block-scale permeability tensor of a thin block. These expressions are derived from the local-scale continuity equation and Darcy's law in an anisotropic layered porous medium. The flow problem is separated in a bottom-flux problem and a top-flux problem, both of which can be solved in essentially the same way. The bottom-flux problem has been worked out in detail, and has been separated in two parts: a vertical potential difference and a horizontal potential difference part. Each is solved with a different approach specially designed for it. Depth-averaged expressions are obtained first, after which block-scale expressions are obtained by assuming a constant depth-averaged flux. In the zeroth order, this results in the well-known Dupuit approximation in geohydrology, and the vertical equilibrium (VE) approximation in petroleum reservoir engineering. The novelty of the theory presented here stems from the application of a perturbation technique to obtain first-order corrections to these well-known results. The local-scale laws are applied in the coordinate system coinciding with the principal axes of the local-scale permeability tensor. Only in this coordinate system the local-scale permeability tensor has zero off-diagonal components. However, since the porous medium is imperfectly layered, the first-order corrections show that the off-diagonal components of the block-scale permeability tensor are not zero. Furthermore, the block-scale permeability tensor is generally nonsymmetric, which implies that a coordinate system in which the off-diagonal terms disappear does not exist.     

锦屏一级水电站煌斑岩脉化学复合灌浆试验研究

雅砻江锦屏一级水电站左岸抗力体发育有f2、f5、f8、f42-9断层、煌斑岩脉及深部裂缝等软弱带,需采用相应的工程方法对这些部位进行加固处理。化学复合灌浆是在水泥灌浆基础上发展起来的一种基础处理方法,从化学浆材的选择、灌浆参数的确定、灌浆施工工艺等方面介绍了化学复合灌浆在左岸抗力体煌斑岩脉加固处理中的试验情况。根据试验结果对试验区煌斑岩脉的可灌性进行了分析,并通过岩心观察、岩体透水率、岩体声波和孔内变形模量等资料的对比分析对灌浆效果进行了检测评价,评价表明化学复合灌浆对煌斑岩脉的加固处理效果明显。最后根据本次灌浆的试验结果提出了建议。     

Numerical modelling of fluid flow in microscopic images of granular materials

A program for the simulation of two‐dimensional (2‐D) fluid flow at the microstructural level of a saturated anisotropic granular medium is presented. The program provides a numerical solution to the complete set of Navier–Stokes equations without a priori assumptions on the viscous or convection components. This is especially suited for the simulation of the flow of fluids with different density and viscosity values and for a wide range of granular material porosity. The analytical solution for fluid flow in a simple microstructure of porous medium is used to verify the computer program. Subsequently, the flow field is computed within microscopic images of granular material that differ in porosity, particle size and particle shape. The computed flow fields are shown to follow certain paths depending on air void size and connectivity. The permeability tensor coefficients are derived from the flow fields, and their values are shown to compare well with laboratory experimental data on glass beads, Ottawa sand and silica sands. The directional distribution of permeability is expressed in a functional form and its anisotropy is quantified. Permeability anisotropy is found to be more pronounced in the silica sand medium that consists of elongated particles. Copyright © 2001 John Wiley & Sons, Ltd.     

锦屏一级水电站f5断层、煌斑岩脉复合灌浆技术研究

锦屏一级水电站发育的f5断层和煌斑岩脉对坝基的变形稳定、基础应力传递等极为不利,严重影响大坝稳定性及安全运营。针对f5断层、煌斑岩脉水泥灌浆存在的问题,结合f5断层和煌斑岩脉工程地质特征,开展f5断层、煌斑岩脉的水泥-化学复合灌浆加固技术研究。首先,对水泥-化学复合灌浆的作用机理进行分析,从灌浆材料、灌浆方法、现场灌浆试验、灌浆效果评价等方面进行了分析研究。研究结果表明,所采用灌浆材料可灌性较好,施工工艺、灌浆参数基本合理; 灌浆后岩体透水性得到了改善,对f5断层、煌斑岩脉声波波速、变形模量等有一定程度提高,但仍然没有达到设计要求。基于水泥-化学复合灌浆存在的问题,分别从灌浆材料、灌浆参数和灌浆质量检查等方面提出了优化建议。