Effects of strain rate on fracture toughness and energy release rate of gas shales

Abstract Understanding the aspect of enhanced energy extraction through an approach of rock mechanics requires a detailed interpretation of rock fracture mechanism. Common examples are hydraulic fracturing of gas shales and geothermal energy systems. Resolving rock fracture behavioural patterns and its properties such as fracture toughness and energy-release rate during fracturing is important for the successful implementation of such projects. These properties are a function of different environmental factors such as temperature, humidity, water vapour, pressure, and strain rate. In this study, the effects of various strain rates on the fracture toughness as well as the energy-release rate of gas shales were investigated. The three-point bending method was applied using notched semicircular bending shale specimens that were prepared as per the international standards. The fracture toughness and the energy-release rates were measured for three different modes, namely, mode I, mixed mode (I–II) and mode II. In addition, X-ray diffraction analysis was carried out to identify the composition of the selected shales. Finally, scanning electron microscope (SEM) analyses were performed in order to acquire an insight into the effects of strain rate on fractures at microstructural scales. The experimental results indicate that the fracture toughness and the energy-release rate for all the three modes are a function of strain rate. At lower strain rates, the fracture toughness and the strain-energy-release rates for all the modes are comparable but vary significantly at higher strain rates. At high strain rates, the strength and stiffness of the shale increases, which in turn increases the fracture toughness and, eventually, the energy-release rate of the shale. For all the strain rates, mode I requires the minimum application of energy, while mode II requires maximum energy for the onset of crack growth. The energy-release rate in mode I is maximum, in comparison with the two other modes. The findings of this investigation will be useful in achieving a better and comprehensive understanding of some aspects such as initiation, propagation and failure of shales during hydraulic fracturing for the extraction of hydrocarbons.

[1]  Shi Liu,et al.  Effect of strain rate on the dynamic compressive mechanical behaviors of rock material subjected to high temperatures , 2015 .

[2]  Arcady Dyskin,et al.  Mechanisms of brittle fracture of rock with pre-existing cracks in compression , 1994 .

[3]  V. Kuokkala,et al.  Effects of strain rate and confining pressure on the compressive behavior of Kuru granite , 2016 .

[4]  C. Atkinson,et al.  Combined mode fracture via the cracked Brazilian disk test , 1982, International Journal of Fracture.

[5]  P. Ranjith,et al.  Strain Rate Effect on the Mechanical Behaviour of Sandstones with Different Grain Sizes , 2015, Rock Mechanics and Rock Engineering.

[6]  Ezio Cadoni,et al.  Dynamic Characterization of Orthogneiss Rock Subjected to Intermediate and High Strain Rates in Tension , 2010 .

[7]  G. Gao,et al.  Investigation of the rate dependence of fracture propagation in rocks using digital image correlation (DIC) method , 2015 .

[8]  Áine O'Grady,et al.  Indicative energy technology assessment of UK shale gas extraction , 2017 .

[9]  R. Weijermars US shale gas production outlook based on well roll-out rate scenarios , 2014 .

[10]  B. Mohanty,et al.  Effects of microstructures on dynamic compression of Barre granite , 2008 .

[11]  Satish Karra,et al.  Shale gas and non-aqueous fracturing fluids: Opportunities and challenges for supercritical CO2 , 2015 .

[12]  B. Prasad,et al.  Deep seismic reflection study over the Vindhyans of Rajasthan: Implications for geophysical setting of the basin , 2006 .

[13]  G. Irwin ANALYSIS OF STRESS AND STRAINS NEAR THE END OF A CRACK TRAVERSING A PLATE , 1957 .

[14]  T. Singh,et al.  Influence of thermal treatment on mode I fracture toughness of certain Indian rocks , 2016 .

[15]  Yılmaz Mahmutoğlu,et al.  The effects of strain rate and saturation on a micro-cracked marble , 2006 .

[16]  Claudio Scavia,et al.  Fracture mechanics approach to stability analysis of rock slopes , 1990 .

[17]  J. J. Mecholsky,et al.  Fractal analysis of fracture in Ocala chert , 1988 .

[18]  Ken P. Chong,et al.  Effects of strain rate on oil shale fracturing , 1980 .

[19]  Julia F. W. Gale,et al.  Natural fractures in the Barnett Shale and their importance for hydraulic fracture treatments , 2007 .

[20]  M.R.M. Aliha,et al.  Fracture toughness study for a brittle rock subjected to mixed mode I/II loading , 2007 .

[21]  Z. T. Bieniawski,et al.  Time-dependent behaviour of fractured rock , 1970 .

[22]  Jon Holder,et al.  The pressure dependence of apparent hydrofracture toughness , 1993 .

[23]  T. Singh,et al.  Effect of Varied Durations of Thermal Treatment on the Tensile Strength of Red Sandstone , 2016, Rock Mechanics and Rock Engineering.

[24]  N. A. Al-Shayea,et al.  Effect of Specimen Geometry and Testing Method on Mixed Mode I–II Fracture Toughness of a Limestone Rock from Saudi Arabia , 2000 .

[25]  Wang Sijing,et al.  AN EXPERIMENTAL INVESTIGATION CONCERNING THE COMPREHENSIVE FRACTURE TOUGHNESS OF SOME BRITTLE ROCKS , 1985 .

[26]  Soo-Ho Chang,et al.  Measurement of rock fracture toughness under modes I and II and mixed-mode conditions by using disc-type specimens , 2002 .

[27]  Per-Arne Lindqvist,et al.  Effects of loading rate on rock fracture , 1999 .

[28]  I. Varfolomeev,et al.  Stress intensity factors of semicircular and quadrant-shaped cracks in polynomial loading , 1987 .

[29]  K. Chong,et al.  Fracture toughness testing of brittle materials using semi-circular bend (SCB) specimen , 2012 .

[30]  Y. X. Wang,et al.  Determination of dynamic rock Mode-I fracture parameters using cracked chevron notched semi-circular bend specimen , 2011 .

[31]  J. F. Knott,et al.  The fracture behaviour of PMMA in mixed modes I and II , 1989 .

[32]  K. P. Chong,et al.  New specimen for fracture toughness determination for rock and other materials , 1984 .

[33]  L. Banks‐Sills,et al.  A mixed-mode fracture specimen: analysis and testing , 1986 .

[34]  Pathegama Gamage Ranjith,et al.  Permeability of sub-critical carbon dioxide in naturally fractured Indian bituminous coal at a range of down-hole stress conditions , 2013 .

[35]  I. L. Lim,et al.  Stress intensity factors for semi-circular specimens under three-point bending , 1993 .

[36]  R. Kerr Energy. Natural gas from shale bursts onto the scene. , 2010, Science.

[37]  J. Sanjayan,et al.  Effect of strain rate on strength properties of low-calcium fly-ash-based geopolymer mortar under dry condition , 2013, Arabian Journal of Geosciences.

[38]  Yiyong Cai,et al.  U.S. Natural Gas Exports and Their Global Impacts , 2014 .

[39]  A. A. Griffith The Phenomena of Rupture and Flow in Solids , 1921 .

[40]  C. Liang,et al.  Effects of strain rate on fracture characteristics and mesoscopic failure mechanisms of granite , 2015 .

[41]  K. Ravi-Chandar,et al.  An experimental investigation of mixed-mode fracture , 1989 .

[42]  Haiqing Yang,et al.  Effect of loading rate on fracture characteristics of rock , 2010 .

[43]  Y. Obara,et al.  Stress Intensity Factors of Semi-Circular Bend Specimens with Straight-Through and Chevron Notches , 2016, Rock Mechanics and Rock Engineering.

[44]  K. Chong,et al.  Fracture toughness determination of layered materials , 1987 .

[45]  K. Matsui,et al.  Effects of temperature and confining pressure on mixed-mode (I–II) and mode II fracture toughness of Kimachi sandstone , 2014 .

[46]  M. Cravero,et al.  Analysis of Fracture Mechanics Tests on Opalinus Clay , 2012, Rock Mechanics and Rock Engineering.

[47]  B. J. Carter,et al.  The effect of strain rate on rock strength , 1991 .

[48]  M.R.M. Aliha,et al.  On determination of mode II fracture toughness using semi-circular bend specimen , 2006 .

[49]  Prashanth Kumar,et al.  Elements of Fracture Mechanics , 2009 .

[50]  T. Singh,et al.  An experimental investigation on behaviour of coal under fluid saturation, using acoustic emission , 2015 .

[51]  Y. Obara,et al.  ISRM-Suggested Method for Determining the Mode I Static Fracture Toughness Using Semi-Circular Bend Specimen , 2013, Rock Mechanics and Rock Engineering.

[52]  A. Evans,et al.  MIXED-MODE FRACTURE: THE FOUR-POINT SHEAR SPECIMEN , 1990 .

[53]  Saeed Asadi,et al.  Experimental, Numerical and Analytical Investigation the Initiation and Propagation of Hydraulic Fracturing (Case Study: Sarvak Lime Stone) , 2013 .

[54]  A. R. Rosenfield,et al.  Mixed-mode fracture in biaxial stress state: Application of the diametral-compression (Brazilian disk) test , 1987 .

[55]  I. L. Lim,et al.  Fracture testing of a soft rock with semi-circular specimens under three-point bending. Part 2—mixed-mode , 1994 .

[56]  K. Xia,et al.  Micromechanical model for the rate dependence of the fracture toughness anisotropy of Barre granite , 2013 .

[57]  T. Singh,et al.  Study of Strain Rate and Thermal Damage of Dholpur Sandstone at Elevated Temperature , 2016, Rock Mechanics and Rock Engineering.

[58]  K. Xia,et al.  Laboratory measurements of the rate dependence of the fracture toughness anisotropy of Barre granite , 2013 .

[59]  Pathegama Gamage Ranjith,et al.  CO2 permeability of Indian bituminous coals: Implications for carbon sequestration , 2013 .

[60]  Ken P. Chong,et al.  Strain rate dependent mechanical properties of New Albany reference shale , 1990 .

[61]  F. Donath,et al.  Dependence of Strain-Rate Effects on Deformation Mechanism and Rock Type , 1971, The Journal of Geology.

[62]  M.R.M. Aliha,et al.  Mode I and Mode II Fracture Toughness Testing for a Coarse Grain Marble , 2006 .

[63]  F. Rummel,et al.  Application of Laboratory Fracture Mechanics Data to Hydraulic Fracturing Field Tests , 1983 .

[64]  Panos Papanastasiou,et al.  The Effective Fracture Toughness in Hydraulic Fracturing , 1999 .

[65]  T. N. Singh,et al.  Stability analysis of potential failure zones along NH-305, India , 2016, Natural Hazards.

[66]  V.-T. Kuokkala,et al.  Application of DIC Technique for Studies of Kuru Granite Rock under Static and Dynamic Loading , 2014 .

[67]  Hitoshi Mizutani,et al.  Experimental study of strain-rate dependence and pressure dependence of failure properties of granite , 1987 .

[68]  T. Singh,et al.  Numerical simulation of fault reactivation phenomenon , 2013, Arabian Journal of Geosciences.

[69]  Pathegama Gamage Ranjith,et al.  Numerical modeling of Gondwana coal seams in India as coalbed methane reservoirs substituted for carbon dioxide sequestration , 2013 .

[70]  Jian Zhao,et al.  Effect of loading rate on fracture toughness and failure micromechanisms in marble , 2013 .