Effects of the geometry of two‐dimensional fractures on their hydraulic aperture and on the validity of the local cubic law          下载免费PDF全文

Ahmad Hajjar  Luc Scholtès  Constantin Oltéan  Michel Antoine Buès 《水文研究》2018,32(16):2510-2525

Flow through rough fractures is investigated numerically in order to assess the validity of the local cubic law for different fracture geometries. Two‐dimensional channels with sinusoidal walls having different geometrical properties defined by the aperture, the amplitude, and the wavelength of the walls' corrugations, the corrugations asymmetry, and the phase shift between the two walls are considered to represent different fracture geometries. First, it is analytically shown that the hydraulic aperture clearly deviates from the mean aperture when the walls' roughness, the phase shift, and/or the asymmetry between the fracture walls are relatively high. The continuity and the Navier–Stokes equations are then solved by means of the finite element method and the numerical solutions compared to the theoretical predictions of the local cubic law. Reynolds numbers ranging from 0.066 to 66.66 are investigated so as to focus more particularly on the effect of flow inertial effects on the validity of the local cubic law. For low Reynolds number, typically less than 15, the local cubic law properly describes the fracture flow, especially when the fracture walls have small corrugation amplitudes. For Reynolds numbers higher than 15, the local cubic law is valid under the conditions that the fracture presents a low aspect ratio, small corrugation amplitudes, and a moderate phase lag between its walls.  相似文献   

About Darcy's law in non-Galilean frame     

C. Geindreau  E. Sawicki  J.-L. Auriault  P. Royer 《国际地质力学数值与分析法杂志》2004,28(3):229-249

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.  相似文献   

STUDY ON GIS FOR YIELD ESTIMATION BY REMOTE SENSING IN JILIN MAIZE BELT     

Liu Xiangnan  Huang Fang  Zhou Zhanao 《中国地理科学(英文版)》1996,6(4):351-358

ＳＴＵＤＹ　ＯＮ　ＧＩＳ　ＦＯＲ　ＹＩＥＬＤ　ＥＳＴＩＭＡＴＩＯＮ　ＢＹ　ＲＥＭＯＴＥ　ＳＥＮＳＩＮＧ　ＩＮ　ＪＩＬＩＮ　ＭＡＩＺＥ　ＢＥＬＴＳＴＵＤＹＯＮＧＩＳＦＯＲＹＩＥＬＤＥＳＴＩＭＡＴＩＯＮＢＹＲＥＭＯＴＥＳＥＮＳＩＮＧＩＮＪＩＬＩＮＭＡＩＺ...  相似文献   

Fast iterative solution of large undrained soil‐structure interaction problems     

Kok‐Kwang Phoon  Swee‐Huat Chan  Kim‐Chuan Toh  Fook‐Hou Lee 《国际地质力学数值与分析法杂志》2003,27(3):159-181

In view of rapid developments in iterative solvers, it is timely to re‐examine the merits of using mixed formulation for incompressible problems. This paper presents extensive numerical studies to compare the accuracy of undrained solutions resulting from the standard displacement formulation with a penalty term and the two‐field mixed formulation. The standard displacement and two‐field mixed formulations are solved using both direct and iterative approaches to assess if it is cost‐effective to achieve more accurate solutions. Numerical studies of a simple footing problem show that the mixed formulation is able to solve the incompressible problem ‘exactly’, does not create pressure and stress instabilities, and obviate the need for an ad hoc penalty number. In addition, for large‐scale problems where it is not possible to perform direct solutions entirely within available random access memory, it turns out that the larger system of equations from mixed formulation also can be solved much more efficiently than the smaller system of equations arising from standard formulation by using the symmetric quasi‐minimal residual (SQMR) method with the generalized Jacobi (GJ) preconditioner. Iterative solution by SQMR with GJ preconditioning also is more elegant, faster, and more accurate than the popular Uzawa method. Copyright © 2003 John Wiley & Sons, Ltd.  相似文献   

引水工程秦巴段隧洞地应力模拟及工程地质问题     

李东林  吴树仁  韩金良  刘景儒 《地质与勘探》2008,44(5):81-86

利用Ansys有限元软件对三峡引水工程秦巴段线路不同深度、不同截面形态隧洞围岩的应力重分布情况进行模拟计算,得到圆形隧洞、城门形隧洞和马蹄形隧洞围岩的应力数值和等值线图.利用库仑一纳维尔强度准则,对花岗岩区及灰岩区隧洞围岩的剪切破坏进行分析;利用三种岩爆应力判别指标,对岩爆进行初步预测;进而对不同深度、不同截面形态的隧洞围岩的稳定性进行分析;最后对引水工程隧洞设计中截面形态的选择给出了初步建议.  相似文献   

SO4^2-改性铁铝复合层柱粘土的制备及其催化性能研究     

于少明  郝文正  翟林峰  陆亚玲  陈天虎  史铁钧 《矿物学报》2008,28(3)

由共聚法制得的铁铝复合交联剂交换钠基蒙脱石层间的水合钠离子,再经SO42-改性处理制备了铁铝复合层柱粘土固体超强酸催化剂.利用xRD、FT-IR和BET法对催化剂的结构进行了表征.以乙酸正丁酯的合成反应为探针反应对催化剂的活性进行了测试.通过正交实验确定了铁铝复合交联粘土SO42-改性最佳工艺条件.研究了催化剂对探针反应的选择性及重复使用情况.结果表明:在由实验确定的最佳改性工艺条件下,乙酸的转化率达92.2%,反应中无副产物产生,催化剂具有较好的重复使用性能.  相似文献   

Fishing, selection, and phenotypic evolution   总被引：10，自引：9，他引：10  

Law  Richard 《ICES Journal of Marine Science》2000,57(3):659-668

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Depth dependence of target strength of live kokanee salmon in accordance with Boyle's law   总被引：3，自引：5，他引：3  

Mukai  Tohru; Iida  Kohji 《ICES Journal of Marine Science》1996,53(2):245-248

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砂质海岸岸滩侵蚀演变模式探讨——以山东南部海岸侵蚀岸段的岸滩演变为例   总被引：5，自引：0，他引：5  

包四林虞志英  刘苍字张国安 《海洋工程》2003,21(3):94-99

在分析山东南部海岸几十年来的地形观测资料的基础上，运用砂质海岸等深线变化预测理论，建立该区的岸滩侵蚀演变预测模型，研究了该区域岸滩演变规律。实测资料验证表明：预测结果合理，基本反映了本区岸滩演变的特征。  相似文献   

Nonlinear dynamic analysis of deep water risers     

V.Hachemi Safai 《Applied Ocean Research》1983,5(4):215-225

The paper presents a theoretical and numerical approach to the dynamical behaviour of risers in deep water which takes into account two types of nonlinearity; that due to viscous drag forces and that due to the large displacements of the riser when submitted to strong axial loads. As the second nonlinearity may have a significant influence upon the behaviour of risers in deep water, a method for automatically updating the structural geometry during the dynamic analysis is given. A computer programme has been written for this purpose.  相似文献