A continuum damage failure model for hydraulic fracturing of porous rocks

被引:115
作者
Shojaei, Amir [1 ,2 ]
Taleghani, Arash Dahi [2 ]
Li, Guoqiang [1 ,3 ]
机构
[1] Louisiana State Univ, Dept Mech Engn, Baton Rouge, LA 70803 USA
[2] Louisiana State Univ, Craft & Hawkins Dept Petr Engn, Baton Rouge, LA 70803 USA
[3] Southern Univ, Dept Mech Engn, Baton Rouge, LA 70813 USA
关键词
Poroelasticity; Rock Mechanics; Hydraulic fracturing; Rock continuum damage mechanics; CONFINING PRESSURE; BEREA SANDSTONE; BRITTLE; BEHAVIOR; DEFORMATION; LOCALIZATION; NUCLEATION; EVOLUTION;
D O I
10.1016/j.ijplas.2014.03.003
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
A continuum damage mechanics (CDM) based constitutive model has been developed to describe elastic, plastic and damage behavior of porous rocks. The pressure sensitive inelastic deformation of porous rocks together with their damage mechanisms are studied for drained and undrained conditions. Fracture mechanics of microcrack and micro-void nucleation and their coalescence are incorporated into the formulation of the CDM models to accurately capture different failure modes of rocks. A fracture mechanics based failure criterion is also incorporated to accurately capture the post fracture crack advances in the case of progressive failures. The performance of the developed elastoplastic and CDM models are compared with the available experimental data and then the models are introduced into a commercial software package through user-defined subroutines. The hydraulic fractures growth in a reservoir rock is then investigated; in which the effect of injection pressure is studied and the simulations are compared with the available solutions in the literature. The developed CDM model outperforms the traditional fracture mechanics approaches by removing stress singularities at the fracture tips and simulation of progressive fractures without any essential need for remeshing. This model would provide a robust tool for modeling hydraulic fracture growth using conventional elements of FEA with a computational cost less than similar computational techniques like cohesive element methods. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码:199 / 212
页数:14
相关论文
共 75 条
[31]   BEHAVIOR OF BEREA SANDSTONE UNDER CONFINING PRESSURE .2. ELASTIC PLASTIC RESPONSE [J].
KHAN, AS ;
YING, X ;
HUANG, SJ .
INTERNATIONAL JOURNAL OF PLASTICITY, 1992, 8 (03) :209-220
[32]   BEHAVIOR OF BEREA SANDSTONE UNDER CONFINING PRESSURE .1. YIELD AND FAILURE SURFACES, AND NONLINEAR ELASTIC RESPONSE [J].
KHAN, AS ;
XIANG, Y ;
HUANG, SJ .
INTERNATIONAL JOURNAL OF PLASTICITY, 1991, 7 (06) :607-624
[33]   Statistical models of brittle deformation - Part I: Introduction [J].
Krajcinovic, D ;
Mastilovic, S .
INTERNATIONAL JOURNAL OF PLASTICITY, 1999, 15 (04) :401-426
[34]   Multi-scale analysis in elasto-viscoplasticity coupled with damage [J].
Kruch, Serge ;
Chaboche, Jean-Louis .
INTERNATIONAL JOURNAL OF PLASTICITY, 2011, 27 (12) :2026-2039
[35]  
Lemaitre J., 1994, Mechanics of solid materials
[36]   Thermomechanical behavior of thermoset shape memory polymer programmed by cold-compression: Testing and constitutive modeling [J].
Li, Guogiang ;
Xu, Wei .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2011, 59 (06) :1231-1250
[37]   A viscoplastic theory of shape memory polymer fibres with application to self-healing materials [J].
Li, Guoqiang ;
Shojaei, Amir .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2012, 468 (2144) :2319-2346
[38]   Microcrack-based coupled damage and flow modeling of fracturing evolution in permeable brittle rocks [J].
Lu, Y. L. ;
Elsworth, D. ;
Wang, L. G. .
COMPUTERS AND GEOTECHNICS, 2013, 49 :226-244
[39]   DAMAGE TENSORS AND THE CRACK DENSITY DISTRIBUTION [J].
LUBARDA, VA ;
KRAJCINOVIC, D .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1993, 30 (20) :2859-2877
[40]   An assessment of isotropic constitutive models for ductile fracture under high and low stress triaxiality [J].
Malcher, L. ;
Andrade Pires, F. M. ;
Cesar de Sa, J. M. A. .
INTERNATIONAL JOURNAL OF PLASTICITY, 2012, 30-31 :81-115