Numerical analysis of fracture propagation during hydraulic fracturing operations in shale gas systems

Abstract We perform numerical studies on vertical fracture propagation induced by tensile hydraulic fracturing for shale gas reservoirs. From the numerical simulation, we find that tensile fracturing occurs discontinuously in time, which generates saw-toothed responses of pressure, the fracture aperture, and displacement, and that fracture propagation is sensitive to factors such as initial condition of saturation, a type of the injection fluid, heterogeneity, tensile strength, elastic moduli, and permeability models. Gas injection induces faster fracturing in shale gas reservoirs than water injection, for the same mass injection, because of high mobility of gas. However, water injection to highly water-saturated formations can contribute to fast pressurization and high mobility of water, resulting in large fracturing. For moderate initial water saturation, complex physical responses within the fracture result from strong nonlinear permeability and multiphase flow with gravity. Pressure diffusion and pressurization within the fracture are also affected by permeability. High intrinsic and high relative permeabilities result in fast fluid movement of injected fluid, followed by fast fracturing. High Young׳s modulus and high Poisson׳s ratio do not seem favorable to fracture propagation, although they are not significantly sensitive. For heterogeneity, a geological layer of high strength between near surface and above the shale gas reservoirs can prevent vertical fracture propagation, changing the direction of fracturing horizontally.

[1]  Scott M. Johnson,et al.  An explicitly coupled hydro‐geomechanical model for simulating hydraulic fracturing in arbitrary discrete fracture networks , 2013 .

[2]  János Urai,et al.  Review of mechanical properties of oil shales: implications for exploitation and basin modelling , 2007 .

[3]  C. Boyer,et al.  Coalbed- and Shale-Gas Reservoirs , 2008 .

[4]  R. Jackson,et al.  Methane contamination of drinking water accompanying gas-well drilling and hydraulic fracturing , 2011, Proceedings of the National Academy of Sciences.

[5]  Peter P. Valko,et al.  Hydraulic fracture mechanics , 1995 .

[6]  K. Terzaghi Theoretical Soil Mechanics , 1943 .

[7]  R. Borja Assumed enhanced strain and the extended finite element methods: A unification of concepts , 2008 .

[8]  K. Pruess,et al.  TOUGH2 User's Guide Version 2 , 1999 .

[9]  George J. Moridis,et al.  Gas Flow Tightly Coupled to Elastoplastic Geomechanics for Tight- and Shale-Gas Reservoirs: Material Failure and Enhanced Permeability , 2014 .

[10]  L. Wong,et al.  Loading rate effects on cracking behavior of flaw-contained specimens under uniaxial compression , 2013, International Journal of Fracture.

[11]  Jihoon Kim,et al.  Development of the T+M coupled flow-geomechanical simulator to describe fracture propagation and coupled flow-thermal-geomechanical processes in tight/shale gas systems , 2013, Comput. Geosci..

[12]  J. S. Y. Wang,et al.  Validity of cubic law for fluid flow in a deformable rock fracture. Technical information report No. 23 , 1979 .

[13]  Jonny Rutqvist,et al.  The role of hydromechanical coupling in fractured rock engineering , 2003 .

[14]  Van Genuchten,et al.  A closed-form equation for predicting the hydraulic conductivity of unsaturated soils , 1980 .

[15]  Jonny Rutqvist,et al.  Formulation and sequential numerical algorithms of coupled fluid/heat flow and geomechanics for multiple porosity materials , 2012 .

[16]  Mary F. Wheeler,et al.  A coupling of mixed and continuous Galerkin finite element methods for poroelasticity I: the continuous in time case , 2007 .

[17]  C. Cipolla,et al.  Reservoir Modeling in Shale-Gas Reservoirs , 2010 .

[18]  George E. King,et al.  Hydraulic Fracturing 101: What Every Representative, Environmentalist, Regulator, Reporter, Investor, University Researcher, Neighbor and Engineer Should Know About Estimating Frac Risk and Improving Frac Performance in Unconventional Gas and Oil Wells , 2012 .

[19]  K. Aziz,et al.  Petroleum Reservoir Simulation , 1979 .

[20]  Ruben Juanes,et al.  Rigorous Coupling of Geomechanics and Multiphase Flow with Strong Capillarity , 2013 .

[21]  J. Vermylen,et al.  Hydraulic Fracturing, Microseismic Magnitudes, and Stress Evolution in the Barnett Shale, Texas, USA , 2011 .

[22]  J. Arthur,et al.  Hydraulic Fracturing Considerations for Natural Gas Wells of the Marcellus Shale , 2009 .

[23]  D A V I,et al.  Natural Gas Plays in the Marcellus Shale : Challenges and Potential Opportunities , 2010 .

[24]  Технология Springer Science+Business Media , 2013 .

[25]  Jose Adachi,et al.  Computer simulation of hydraulic fractures , 2007 .

[26]  Arno Zang,et al.  Stress Field of the Earth's Crust , 2010 .

[27]  Richard Wan,et al.  Prediction And Optimization Of Fracturing In Tight Gas And Shale Using A Coupled Geomechanical Model Of Combined Tensile And Shear Fracturing , 2012 .

[28]  H. Gerçek,et al.  Poisson's ratio values for rocks , 2007 .

[29]  I. N. Sneddon,et al.  Crack Problems in the Classical Theory of Elasticity , 1969 .

[30]  Dianne Rahm,et al.  Regulating hydraulic fracturing in shale gas plays: The case of Texas , 2011 .

[31]  M. Kowalsky,et al.  TOUGH+Hydrate v1.0 User's Manual: A Code for the Simulation of System Behavior in Hydrate-Bearing Geologic Media , 2008 .

[32]  Richard Burl Sullivan,et al.  A Novel Hydraulic Fracturing Model Fully Coupled With Geomechanics and Reservoir Simulation , 2009 .

[33]  I. B. Fridleifsson,et al.  The possible role and contribution of geothermal energy to the mitigation of climate change , 2008 .

[34]  Carl H. Sondergeld,et al.  Petrophysical Considerations in Evaluating and Producing Shale Gas Resources , 2010 .

[35]  T. Carr,et al.  Lithostratigraphy and Petrophysics of the Devonian Marcellus Interval in West Virginia and Southwestern Pennsylvania , 2010 .

[36]  Ted Belytschko,et al.  A finite element method for crack growth without remeshing , 1999 .

[37]  G. David,et al.  Gas productive fractured shales; an overview and update , 2000 .

[38]  A. Cheng,et al.  Mandel's problem revisited , 1996 .

[39]  Rick H. Dean,et al.  Hydraulic-Fracture Predictions With a Fully Coupled Geomechanical Reservoir Simulator , 2009 .

[40]  Mohamed Y. Soliman,et al.  Rock mechanics and stimulation aspects of horizontal wells , 2000 .

[41]  N. Christensen Poisson's ratio and crustal seismology , 1996 .

[42]  Norman R. Warpinski,et al.  Hydraulic-Fracture-Height Growth: Real Data , 2012 .

[43]  Louis J. Durlofsky,et al.  Stabilized Finite Element Methods for Coupled Geomechanics - Reservoir Flow Simulations , 2003 .