Consolidation in spatially random unsaturated soils based on coupled flow‐deformation simulation          下载免费PDF全文

Y. Cheng  L.L. Zhang  J.H. Li  L.M. Zhang  J.H. Wang  D.Y. Wang 《国际地质力学数值与分析法杂志》2017,41(5):682-706

This paper integrates random field simulation of soil spatial variability with numerical modeling of coupled flow and deformation to investigate consolidation in spatially random unsaturated soil. The spatial variability of soil properties is simulated using the covariance matrix decomposition method. The random soil properties are imported into an interactive multiphysics software COMSOL to solve the governing partial differential equations. The effects of the spatial variability of Young's modulus and saturated permeability together with unsaturated hydraulic parameters on the dissipation of excess pore water pressure and settlement are investigated using an example of consolidation in a saturated‐unsaturated soil column because of loading. It is found that the surface settlement and the pore water pressure profile during the process of consolidation are significantly affected by the spatially varying Young's modulus. The mean value of the settlement of the spatially random soil is more than 100% greater than that of the deterministic case, and the surface settlement is subject to large uncertainty, which implies that consolidation settlement is difficult to predict accurately based on the conventional deterministic approach. The uncertainty of the settlement increases with the scale of fluctuation because of the averaging effect of spatial variability. The effects of spatial variability of saturated permeability k_sat and air entry parameters are much less significant than that of elastic modulus. The spatial variability of air entry value parameters affects the uncertainties of settlement and excess pore pressure mostly in the unsaturated zone. Copyright © 2016 John Wiley & Sons, Ltd.  相似文献   

One‐dimensional consolidation with a threshold gradient: a Stefan problem with rate‐dependent latent heat     

Yang Zhou  Wan‐kui Bu  Meng‐meng Lu 《国际地质力学数值与分析法杂志》2013,37(16):2825-2832

During the process of one‐dimensional consolidation with a threshold gradient, the seepage front moves downward gradually, and the problem is indicated as a Stefan problem. The novel feature in this Stefan problem is a latent heat that varies inversely with the rate of the moving boundary. An exact solution for the external load that increases in proportion to the square root of time is constructed using the similarity transformation technique. Computational examples concerning the effect of different parameters on the motion of the seepage front are presented. The exact solution provides a worthwhile benchmark for verifying the accuracy of numerical and approximate methods. Copyright © 2013 John Wiley & Sons, Ltd.  相似文献   

Analytical and computational procedure for solving the consolidation problem of layered soils     

S. Sadiku 《国际地质力学数值与分析法杂志》2013,37(16):2789-2800

One‐dimensional consolidation analysis of layered soils conventionally entails solving a system of differential equations subject to the flow conditions at the bounding upper and lower surfaces, as well as the continuity conditions at the interface of every pair of contiguous layers. Formidable computational efforts are required to solve the ensuing transcendental equations expressing the matching conditions at the interfaces, using this method. In this paper, the jump discontinuities in the flow parameters upon crossing from one layer to the other have been systematically built into a single partial differential equation governing the space–time variation of the excess pore pressure in the entire composite medium, by the use of the Heaviside distribution. Despite the presence of the discontinuities in the coefficients of the differential equation, a closed‐form solution in the sense of an infinite generalized Fourier series is obtained, in addition to which is the development of a Green's function for the differential problem. The eigenfunctions of the composite medium are the coordinate functions of the series, obtained computationally through the application of the extended equations of Galerkin. The analysis has been illustrated by solving the consolidation problem of a four‐layer composite, and the results obtained agree very well with the results obtained by previous researchers. Copyright © 2013 John Wiley & Sons, Ltd.  相似文献   

Computational homogenization of uncoupled consolidation in micro‐heterogeneous porous media     

Fredrik Larsson  Kenneth Runesson  Fang Su 《国际地质力学数值与分析法杂志》2010,34(14):1431-1458

Variationally consistent homogenization is exploited for the analysis of transient uncoupled consolidation in micro‐heterogeneous porous solids, whereby the classical approach of first‐order homogenization for stationary problems is extended to transient problems. Homogenization is then carried out in the spatial domain on representative volume elements (RVE), which are introduced in quadrature points in standard fashion. Along with the classical averages, a higher‐order conservation quantity is obtained. An iterative FE²‐algorithm is devised for the case of nonlinear permeability and storage coefficients, and it is applied to pore pressure changes in asphalt‐concrete (particle composite). Various parametric studies are carried out, in particular, with respect to the influence of the ‘substructure length scale’ that is represented by the size of the RVE's. Copyright © 2009 John Wiley & Sons, Ltd.  相似文献   

Analytical layer‐element method for non‐axisymmetric consolidation of multilayered soils     

Zhi Yong Ai  Wen Ze Zeng 《国际地质力学数值与分析法杂志》2012,36(5):533-545

A numerically efficient and stable method is developed to analyze Biot's consolidation of multilayered soils subjected to non‐axisymmetric loading in arbitrary depth. By the application of a Laplace–Hankel transform and a Fourier expansion, the governing equations are solved analytically. Then, the analytical layer‐element (i.e. a symmetric stiffness matrix) describing the relationship between generalized displacements and stresses of a layer is exactly derived in the transformed domain. Considering the continuity conditions between adjacent layers, the global stiffness matrix of multilayered soils is obtained by assembling the inter‐related layer‐elements. Once the solution in the Laplace–Hankel transformed domain that satisfies the boundary conditions has been obtained, the actual solution can be derived by the inversion of the Laplace–Hankel transform. Finally, numerical examples are presented to verify the theory and to study the influence of the layered soil properties and time history on the consolidation behavior. Copyright © 2011 John Wiley & Sons, Ltd.  相似文献   

孔隙水压力圆锥静力触探及其发展现状     

张喜发 《吉林大学学报(地球科学版)》1990,(4)

介绍孔隙水压力圆锥静力触探这门新技术,着重评述近年来在探头优化设计方面的进展,以及在划分地层和鉴别土类、估计土的超固结比和固结系数方面应用的最新研究成果。  相似文献   

水库区应力－孔压耦联分析     

梁青槐  高士钧  曾心传 《华南地震》1994,(3)

基于Ｂｉｏｔ耦联固结理论［１］，推导出二维饱水弹性岩石介质的应力－孔压耦联微分方程，并用有限元法和有限差分法分别对其进行了空间和时间的离散化。  相似文献   

吉林省太古宙TTG岩类固结的温度压力条件     

孙德有  周永胜 《吉林地质》1995,14(2):57-63

吉林省太古宙ＴＴＧ岩类型成于变质上壳岩系麻粒岩相变质作用晚期阶段。详细的岩相学研究表明，ＴＴＧ岩类中存在岩浆结晶的绿帘石，角闪石和黑云母等。绿帘石的出现标志了一定的压条件。  相似文献   

地下水开采—地面沉降模型研究   总被引：27，自引：5，他引：22  

陈崇希  裴顺平 《水文地质工程地质》2001,28(2):5-8

本文建立三维流支－－一维非线性固结地面沉降模型,在混合井流,降雨滞后补给,初始水头形成,人为边界刻画,水流－固结耦合及软土层固结滞后于地下水开采层水头变化等方面有所改进,所建模型用于苏州市,模拟出若干地面沉降重要特征,地面沉降中心偏离地下水漏斗中心,地面沉降动态滞后于地下水的水头动态,软土层渗透系数随固结过程的变化及头在软土层中的传递特征。  相似文献   

天津宝坻县隐伏岩溶区地下水开发与地裂缝成生关系研究   总被引：5，自引：0，他引：5  

刘金峰  谢健  邢罡 《水文地质工程地质》2005,32(6):38-41

在调查分析地裂缝时空分布特征的基础上,研究地裂活动与区内水文地质条件、地下水开采过程的关系,认为过量开采奥灰水是产生地裂缝的主导因素。随着水位下降,盖层介质固结压密作用是导致地面压缩变形乃至地裂缝发生的直接原因。地下水系统结构特征以及固结压密作用的物质基础———松散盖层的厚度、岩性,是构成地面不均匀沉降的充要条件。当这种不均匀变形程度足以使土体连续性破坏时,则地裂缝便在沉降区应力集中的部位发生。  相似文献