An anisotropic fractured poroelastic effective medium theory   总被引：1，自引：0，他引：1  

S. R. Tod 《Geophysical Journal International》2003,155(3):1006-1020

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真空-堆载预压处理高速公路软基的有限元计算   总被引：10，自引：1，他引：10  

刘汉龙  彭劼  陈永辉  郑绍君 《岩土力学》2003,24(6):1029-1033

根据高速公路路基的变形特点，提出了真空-堆载联合预压法处理软基的三维Biot固结有限元计算模型，将砂井按照实际尺寸划分单元，避免了平面计算方法中的砂井处理的问题，较以往的平面数值方法更接近实际情况。结合修正剑桥模型，对某真空-堆载联合预压试验段进行了计算、分析，结果令人满意。  相似文献   

Three-dimensional wave propagation in a general anisotropic poroelastic medium: phase velocity, group velocity and polarization   总被引：2，自引：0，他引：2  

M. D. Sharma 《Geophysical Journal International》2004,156(2):329-344

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A mixed finite-element method for solving the poroelastic Biot equations with electrokinetic coupling     

C. C. Pain  J. H. Saunders  M. H. Worthington  J. M. Singer  W. Stuart-Bruges  G. Mason  A. Goddard 《Geophysical Journal International》2005,160(2):592-608

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Low-order stabilized finite element for the full Biot formulation in soil mechanics at finite strain     

Lluís Monforte  Pedro Navas  Josep Maria Carbonell  Marcos Arroyo  Antonio Gens 《国际地质力学数值与分析法杂志》2019,43(7):1488-1515

This article presents a novel finite element formulation for the Biot equation using low-order elements. Additionally, an extra degree of freedom is introduced to treat the volumetric locking steaming from the effective response of the medium; its balance equation is also stabilized. The accuracy of the proposed formulation is demonstrated by means of numerical analyses.  相似文献   

Cracking risk of partially saturated porous media—Part I: Microporoelasticity model     

Bernhard Pichler  Luc Dormieux 《国际地质力学数值与分析法杂志》2010,34(2):135-157

Drying of deformable porous media results in their shrinkage, and it may cause cracking provided that shrinkage deformations are hindered by kinematic constraints. This is the motivation to develop a thermodynamics‐based microporoelasticity model for the assessment of cracking risk in partially saturated porous geomaterials. The study refers to 3D representative volume elements of porous media, including a two‐scale double‐porosity material with a pore network comprising (at the mesoscale) 3D mesocracks in the form of oblate spheroids, and (at the microscale) spherical micropores of different sizes. Surface tensions prevailing in all interfaces between solid, liquid, and gaseous matters are taken into account. To establish a thermodynamics‐based crack propagation criterion for a two‐scale double‐porosity material, the potential energy of the solid is derived, accounting—in particular—for mesocrack geometry changes (main original contribution) and for effective micropore pressures, which depend (due to surface tensions) on the pore radius. Differentiating the potential energy with respect to crack density parameter yields the thermodynamical driving force for crack propagation, which is shown to be governed by an effective macrostrain. It is found that drying‐related stresses in partially saturated mesocracks reduce the cracking risk. The drying‐related effective underpressures in spherical micropores, in turn, result in a tensile eigenstress of the matrix in which the mesocracks are embedded. This way, micropores increase the mesocracking risk. Model application to the assessment of cracking risk during drying of argillite is the topic of the companion paper (Part II). Copyright © 2009 John Wiley & Sons, Ltd.  相似文献   

Steady‐state analytical solutions of flow and deformation coupling due to a point sink within a finite fluid‐saturated poroelastic layer          下载免费PDF全文

P. Li  K. Wang  G. Fang  D. Lu 《国际地质力学数值与分析法杂志》2017,41(8):1093-1107

An exact steady‐state closed‐form solution is presented for coupled flow and deformation of an axisymmetric isotropic homogeneous fluid‐saturated poroelastic layer with a finite radius due to a point sink. The hydromechanical behavior of the poroelastic layer is governed by Biot's consolidation theory. Boundary conditions on the lateral surface are specifically chosen to match the appropriate finite Hankel transforms and simplify the transforms of the governing equations. Ordinary differential equations in the transformed domain are solved, and then the analytical solutions in the physical space for the pore pressure and the displacements are finally obtained by using finite Hankel inversions. The analytical solutions at some special locations such as the top and bottom surfaces, lateral surface, and the symmetrical axis are given and analyzed. And a case study for the consolidation of a water‐saturated soft clay layer due to pumping is conducted. The analytical solution is verified against the finite element solution. Meanwhile, an analysis of coupled hydromechanical behavior is carried out herein. The presented analytical solution is an exact solution to the practical poroelastic problem within an axisymmetric finite layer. It can provide us a better understanding of the poroelastic behavior of the finite layer due to fluid extraction. Besides, it can be applied to calibrate numerical schemes of axisymmetric poroelasticity within finite domains. Copyright © 2017 John Wiley & Sons, Ltd.  相似文献   

A note on the consolidation settlement of a rigid circular foundation on a poroelastic halfspace          下载免费PDF全文

Jueun Kim  A.P.S. Selvadurai 《国际地质力学数值与分析法杂志》2016,40(14):2003-2016

This paper uses Biot's poroelasticity approach to examine the consolidation behaviour of a rigid foundation with a frictionless base in contact with a poroelastic halfspace. The mathematical development of the mixed boundary value problem involves a set of dual integral equations in the Laplace transform domain which cannot be conveniently solved by employing conventional procedures. In this paper, a numerical solution is developed using a scheme where the contact normal stress is approximated by a discretized equivalent. The influence of limiting drainage boundary conditions at the entire surface of the halfspace on the degree of consolidation of the rigid circular foundation is investigated. The results obtained in this study are compared with the corresponding results given in the literature. Copyright © 2016 John Wiley & Sons, Ltd.  相似文献   

Numerical analysis of frost effects in porous media. Benefits and limits of the finite element poroelasticity formulation     

Stéphane Multon  Alain Sellier  Bernard Perrin 《国际地质力学数值与分析法杂志》2012,36(4):438-458

The aim of this paper is to analyse the performance of a finite element formulation usable for predicting the mechanical consequences of frost effects on porous media. It considers the characteristics of porous media and how the frost action can be assessed. The problem is then separated into two parts: thermal and poromechanical calculations. The constitutive equations developed in the framework of poromechanics are presented and the implementation in a usual finite element poroelasticity formulation based on Zuber's method is adopted. An analysis of the time‐step influence on the convergence rate is given and leads us to propose a simple method in order to obtain objectivity of the finite element response and avoid over‐long calculations. Frost effect simulations are carried out on real porous media (two fired clays) as a case study. Although the experimental behaviour of the porous media subjected to frost action is in accordance with some observations, the calculated strains appear to be overestimated compared with measurements. The problem could be largely attributable to the difficulty of assessing permeability evolution during frost development. Copyright © 2011 John Wiley & Sons, Ltd.  相似文献   

半空间饱和土在内部简谐水平力作用下的Ge函数   总被引：6，自引：0，他引：6       下载免费PDF全文

陆建飞  王建华  沈为平 《地震学报》2001,23(2):185-191

根据积分变换方法得出了半空间内部作用简谐水平力时的Gree函数．首先，利用Hankel积分变换方法，直接对频域内的Biot波动方程进行求解，得出Biot波动方程的通解；利用通解和半空间内部作用水平力时边界上的边界条件，以及力作用面上的连续性条件，可以得出上述边值问题的解；对于边值问题在变换域内的解进行相应的逆变换，就可以得出频域内的Gree函数．本文得到的线弹性退化解与文献中的结果吻合．最后，文中给出了两个算例．   相似文献