Stress field near the tip of a crack in a poroelastic transversely anisotropic saturated rock

Published on Jun 1, 2015in Engineering Fracture Mechanics4.406
· DOI :10.1016/J.ENGFRACMECH.2015.05.006
Antonio Bobet35
Estimated H-index: 35
(Purdue University),
Haitao Yu26
Estimated H-index: 26
(Tongji University)
Sources
Abstract
Abstract Closed-form solutions are obtained for the singular stress and displacement fields at the tip of a single crack in an infinite poroelastic transversely anisotropic saturated medium. Three different scenarios are considered: dry medium (no pore pressures), undrained loading (no dissipation of excess pore pressures), and drained loading (all excess pore pressures have dissipated). The results show that the stresses around the tip of a pressurized crack in a saturated medium with drained loading are smaller than those produced when the medium is dry. Undrained loading reduces the effective stresses at the tip while it increases the excess pore pressures.
📖 Papers frequently viewed together
19865.46Geotechnique
3 Authors (D. F. McTigue, ..., R. H. Bennett)
References29
Newest
#1Antonio Bobet (Purdue University)H-Index: 35
#2V. García Marín (TITech: Tokyo Institute of Technology)H-Index: 1
SUMMARY The paper presents closed-form solutions for stress and displacement influence functions for stress discontinuity (SD) and displacement discontinuity (DD) elements, for a two-dimensional plane-strain elastic, transversely anisotropic medium. The solutions for SD elements are based on Kelvin's problem and for DD elements on the concept of dipoles. Stress and displacement influence functions are derived for the following elements: constant SD, linear SD, constant DD, linear DD, square root...
Source
#1Ahmadreza Hedayat (IPFW: Indiana University – Purdue University Fort Wayne)H-Index: 16
#2Laura J. Pyrak-Nolte (Purdue University)H-Index: 32
Last. Antonio Bobet (Purdue University)H-Index: 35
view all 3 authors...
Active geophysical monitoring of potential failure along mechanical discontinuities in rock requires identification of precursory signatures to failure in geophysical signals. Active ultrasonic monitoring of shear failure along frictional discontinuities was performed to determine the signatures of potential failure. An instrumented direct shear apparatus was used to apply a constant shearing rate to a discontinuity that was held under a constant normal stress. Transmitted and reflected compress...
Source
Closed-form solutions for displacements and stresses of both the liner and the rock are presented for a deep circular tunnel excavated in transversely anisotropic rock above or below the water table subjected to static or seismic loading. The solutions are obtained with the assumption of elastic response of rock and liner, tied contact between rock and liner, impermeable liner, plane strain conditions along the tunnel axis and simultaneous excavation, and liner installation. The liner of a tunne...
Source
#1Shen-Haw Ju (NCKU: National Cheng Kung University)H-Index: 23
#2C. Y. Chiu (NCKU: National Cheng Kung University)H-Index: 1
Last. B. J. Jhao (NCKU: National Cheng Kung University)H-Index: 1
view all 3 authors...
This paper investigates the accuracy of a numerical method incorporating an image-correlation experiment for finding the crack-tip coordinates, the axes of the measurement and the mixed-mode stress intensity factors (SIFs) of anisotropic materials. Finite element and experimental simulations in this paper indicate that the proposed linear search method incorporating Powell's method is considerably stable for finding the unknown crack-tip coordinates and measurement axes, even though the initial ...
Source
The paper presents a description of the methods used to model rock as discontinuous media. The objective of the work is to bring to the geomechanics community recent advances in numerical modeling in the field of rock mechanics. The following methods are included: (1) the distinct element method; (2) the discontinuous deformation analysis method; and (3) the bonded particle method. A brief description of the fundamental algorithms that apply to each method is included, as well as a simple case t...
Source
#1C. S. Kao (UMN: University of Minnesota)H-Index: 7
#2N. T. Schwanz (USACE: United States Army Corps of Engineers)H-Index: 1
Last. Joseph F. LabuzH-Index: 32
view all 3 authors...
Source
#1O. Mutlu (Purdue University)H-Index: 3
#2Antonio Bobet (Purdue University)H-Index: 35
Abstract Slip initiation and propagation along non-homogeneous frictional surfaces are investigated by loading specimens of gypsum in biaxial compression. The specimens used in the tests are composed of two individual blocks with perfectly mated contact surfaces. The contact surfaces have on their upper half a frictional strength smaller than on their lower half. This creates a “weak” surface on the upper half and a “strong” surface on the lower half. Four test series are performed using specime...
Source
#1Ray Kai Leung Su (HKU: University of Hong Kong)H-Index: 24
#2H.Y. Sun (HKU: University of Hong Kong)H-Index: 1
A complete set of series form solutions of stress and displacement functions, including all higher order terms, around the crack tip for anisotropic crack problems have been newly derived by eigenfunction expansion approach. The analytical solutions of displacement functions were classified into four cases with respect to different types of complex parameters and different corresponding physical meanings. By employing these displacement functions as global interpolation functions, fractal two-le...
Source
#1Fulvio Tonon (CU: University of Colorado Boulder)H-Index: 23
#2Bernard Amadei (CU: University of Colorado Boulder)H-Index: 30
The effect of elastic anisotropy (transverse isotropy) on the convergence behind a tunnel face is investigated by means of a parametric study. The applicability of existing expressions for evaluating the convergence behind a tunnel face is also addressed. Two cases are distinguished, according to whether the plane of transverse isotropy strikes parallel to the tunnel axis or not. It is found that the existing expressions (valid for isotropic rock masses under a uniform state of stress) are appli...
Source
Abstract A new hybridized displacement discontinuity numerical method is presented. The existing code FROCK is modified to incorporate loading mode III, and thus have a fully coupled solution for mixed mode I–II–III loading. The new code can be applied to homogeneous elastic bodies with small scale yielding and to cracks where one of the dimensions is much larger than the other two. The code combines both displacement discontinuity (DD) and stress discontinuity (SD) elements. DD elements are cha...
Source
Cited By8
Newest
Abstract This study considers the fluid flow through a porous formation containing discontinuities (fault, fracture, crack, microcrack), which is usually much more conductive than the surrounding matrix. The discontinuity is mathematically represented by a 1D smooth function of curvilinear abscise and physically characterized by its aperture. Fluid flow is assumed to obey Poiseuille's law in the discontinuity and Darcy's law in the parent porous rock. The solution for the fluid potential within ...
Source
#1Nam-Hung Tran (University of Orléans)H-Index: 4
#2Duc-Phi Do (University of Orléans)H-Index: 7
Last. Dashnor Hoxha (University of Orléans)H-Index: 21
view all 3 authors...
In this work, a closed-form hydro-mechanical solution for stresses and displacements around a deep tunnel excavated in an anisotropic poro-elastic medium is presented. The developed analytical solution is conducted by using the well-known complex potential approach and including the hydraulic effect. The validation of this analytical solution is done by comparing with the numerical results obtained from the finite element method Aster-Code. Through some numerical applications, the effect of the ...
Source
#1Pengfei Li (Beijing University of Technology)H-Index: 13
#2Fan Wang (Beijing University of Technology)H-Index: 6
Last. Xu Zhao (Beijing University of Technology)H-Index: 1
view all 4 authors...
Abstract This paper investigates analytical solutions for steady water inflow into a subsea grouted tunnel. The relevant parameters include the pore pressure distribution in the aquifer, external water pressure on the grouted zone and water inflow. Analytical solutions are obtained by the complex variable method (CVM), mirror image method (MIM) and axisymmetric modeling method (AMM). A series of numerical simulations are performed to validate the analytical solutions. The calculation accuracy an...
Source
#1Duc-Phi DoH-Index: 7
#2Nam-Hung Tran (Le Quy Don Technical University)H-Index: 4
Last. Hong-Lam DangH-Index: 3
view all 4 authors...
Abstract This work aims at studying the fracture initiation pressure of a horizontal wellbore drilled in an anisotropic poroelastic medium based on an analytical model. Using the complex potential approach, the closed-form solution of stresses in the surrounding formation is deduced as a function of the orientation in respect with stratification and the pressure inside wellbore. The analytical solution is developed for the steady state flow in a permeable formation due to the difference between ...
Source
#1Fei Tao (Purdue University)H-Index: 4
#2Antonio Bobet (Purdue University)H-Index: 35
Abstract Considerably less attention has been given to thermal stresses in a tunnel. Temperature changes in the ground or inside the tunnel, e.g. due to fire, can cause cracking and damage to the liner and surrounding ground. This study derived analytical solutions for stresses and displacements caused by thermal load for a lined circular tunnel under a transversely anisotropic ground where the ground anisotropy axis coincides with the stacking direction. The FEM code ABAQUS was used to study a ...
Source
Closed-form solutions for the stresses and deformations induced in the ground and tunnel liner are provided for a deep tunnel in a transversely anisotropic elastic rock, with anisotropic permeability, when subjected to groundwater seepage. Complex variable theory and conformal mapping are used to obtain the solutions; additional complex functions, necessary to prevent multiple solutions of the displacements, are included. The analytical solutions are verified by comparing their results from thos...
Source
#1Guanyu Zhong (China University of Petroleum)H-Index: 1
#2Ruihe Wang (China University of Petroleum)H-Index: 2
Last. Guichun Chen (China University of Petroleum)H-Index: 2
view all 5 authors...
With the influence of bedding plane, the mechanical properties of bedded rocks, such as shale and coal rock at vertical and parallel bedding direction show comparatively significant difference. Therefore, compared with homogeneous rocks, bedded rocks exhibit obvious anisotropic mechanical properties. Currently, most fracture initiation pressure prediction models simplify rock to homogeneous dielectric elastomer, which is inapplicable to calculate wellbore fracture initiation pressure at bedded s...
Source
#1Abolfazl Abdollahipour (YU: Yazd University)H-Index: 8
#2Mohammad Fatehi Marji (YU: Yazd University)H-Index: 20
Last. Javad Gholamnejad (YU: Yazd University)H-Index: 11
view all 4 authors...
Many problems in subsurface rocks which are naturally filled with saturated cracks and pores (with one or more fluid phases) are better understood in a poroelastic framework. Displacement discontinuity method (DDM) is particularly ideal for problems involving fractures and discontinuities. However, the DDM in its original form is limited to elastic problems. The paper derives fundamental solutions of a poroelastic DDM. Then introduces a numerical formulation and implementation for the poroelasti...
Source
This website uses cookies.
We use cookies to improve your online experience. By continuing to use our website we assume you agree to the placement of these cookies.
To learn more, you can find in our Privacy Policy.