Thermal‐elastic stresses and the criticality of the continental crust

Heating or cooling can lead to high stresses in rocks due to the different thermal-elastic properties of minerals. In the upper 4 km of the crust, such internal stresses might cause fracturing. Yet it is unclear if thermal elasticity contributes significantly to critical stresses and failure deeper in Earth's continental crust, where ductile creep causes stress relaxation. We combined a heating experiment conducted in a Synchrotron microtomograph (Advanced Photon Source, USA) with numerical simulations to calculate the grain-scale stress field in granite generated by slow burial. We find that deviatoric stresses >100 MPa can be stored during burial, with relaxation times from 100's to 1000's ka, even in the ductile crust. Hence, grain-scale thermal-elastic stresses may serve as nuclei for instabilities, thus rendering the continental crust close to criticality.

[1]  P. Meredith,et al.  Fracture toughness and subcritical crack growth during high-temperature tensile deformation of Westerly granite and Black gabbro , 1985 .

[2]  M. Darot,et al.  Permeability of thermally cracked granite , 1992 .

[3]  M. Zoback,et al.  Upper-crustal strength inferred from stress measurements to 6 km depth in the KTB borehole , 1993, Nature.

[4]  Kate Hadley,et al.  Comparison of calculated and observed crack densities and seismic velocities in westerly granite , 1976 .

[5]  J. Bass Elasticity of Minerals, Glasses, and Melts , 2013 .

[6]  Boris J. P. Kaus,et al.  Effects of elasticity on the Rayleigh-Taylor instability: implications for large-scale geodynamics , 2005 .

[7]  C. Beaumont,et al.  Formation, burial and exhumation of basement nappes at crustal scale: a geometric model based on the Western Swiss-Italian Alps , 1997 .

[8]  S. Bergbauer,et al.  Thermal stress evolution in cooling pluton environments of different geometries , 1998 .

[9]  C. Teyssier,et al.  An evaluation of quartzite flow laws based on comparisons between experimentally and naturally deformed rocks , 2001 .

[10]  Desmond Tromans,et al.  Fracture toughness and surface energies of covalent minerals: theoretical estimates , 2004 .

[11]  E. Parmentier,et al.  Thermal stresses in the oceanic lithosphere: Evidence from geoid anomalies at fracture zones , 1986 .

[12]  D. Lockner,et al.  The role of microcracking in shear-fracture propagation in granite , 1995 .

[13]  Christoph H. Arns,et al.  Elastic and transport properties of cellular solids derived from three-dimensional tomographic images , 2006, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[14]  B. Stimpson,et al.  Effects of Grain Size on the Initiation and Propagation Thresholds of Stress-induced Brittle Fractures , 1999 .

[15]  R. Kranz Microcracks in rocks: a review , 1983 .

[16]  E. R. Oxburgh,et al.  Stress accumulation in the lithosphere , 1976 .

[17]  Y. Ben‐Zion,et al.  Thermoelastic strain in a half-space covered by unconsolidated material , 1986 .

[18]  Gene Simmons,et al.  Thermal expansion behavior of igneous rocks , 1974 .

[19]  J. Wheeler The significance of grain-scale stresses in the kinetics of metamorphism , 1987 .

[20]  Richard C. Bailey,et al.  Large time step numerical modelling of the flow of Maxwell materials , 2006 .

[21]  G. Simmons,et al.  The effect of cracks on the thermal expansion of rocks , 1977 .

[22]  Klaus Regenauer-Lieb,et al.  Positive feedback of interacting ductile faults from coupling of equation of state, rheology and thermal-mechanics , 2004 .

[23]  J. Blacic Water diffusion in quartz at high pressure: Tectonic implications , 1981 .

[24]  G. Dresen,et al.  Dislocation and diffusion creep of synthetic anorthite aggregates , 2000 .

[25]  H. C. Heard,et al.  Elastic moduli, thermal expansion, and inferred permeability of two granites to 350°C and 55 megapascals , 1982 .

[26]  R. Berman,et al.  Internally consistent thermodynamic data for minerals in the system Na2O-K2O-CaO-MgO-FeO-F , 1988 .

[27]  C. Chon,et al.  Crystal Structures of Biotite at High Temperatures and of Heat-Treated Biotite using Neutron Powder Diffraction , 2003 .

[28]  S. Shtrikman,et al.  A variational approach to the theory of the elastic behaviour of multiphase materials , 1963 .

[29]  J. Fredrich,et al.  Micromechanics of thermally induced cracking in three crustal rocks , 1986 .

[30]  K. Regenauer‐Lieb Water and Geodynamics , 2006 .

[31]  W. Z. Savage The development of residual stress in cooling rock bodies , 1978 .

[32]  Zvi Hashin,et al.  Effective thermal expansion coefficients and specific heats of composite materials , 1970 .

[33]  P. Chopra High-temperature transient creep in olivine rocks , 1997 .

[34]  R. Bodnar,et al.  Comparison of fluid inclusion decrepitation and acoustic emission profiles of Westerly granite and Sioux quartzite , 1989 .

[35]  C. Clauser,et al.  Thermal Conductivity of Rocks and Minerals , 2013 .

[36]  E. Rutter,et al.  Experimental intracrystalline plastic flow in hot-pressed synthetic quartzite prepared from Brazilian quartz crystals , 2004 .

[37]  W. F. Brace,et al.  Limits on lithospheric stress imposed by laboratory experiments , 1980 .

[38]  D. Durney,et al.  Crenulation cleavage differentiation: implications of solution-deposition processes , 1979 .

[39]  T. Engelder,et al.  Microcracks in New England granitoids: A record of thermoelastic relaxation during exhumation of intracontinental crust , 2006 .

[40]  J. Blendell,et al.  Measurement of Stress Due to Thermal Expansion Anisotropy in Al2O3 , 1982 .

[41]  J. Korenaga Au th or ' s pe rs on al co py Effective thermal expansivity of Maxwellian oceanic lithosphere , 2007 .

[42]  S. Solomon,et al.  Thermoelastic stress: How important as a cause of earthquakes in young oceanic lithosphere? , 1985 .

[43]  James A. D. Connolly,et al.  Computation of phase equilibria by linear programming: A tool for geodynamic modeling and its application to subduction zone decarbonation , 2005 .

[44]  B. Evans,et al.  Stress and temperature in the bending lithosphere as constrained by experimental rock mechanics , 1979 .

[45]  L. Baumgartner,et al.  Burial rates during prograde metamorphism of an ultra-high-pressure terrane: an example from Lago di Cignana, western Alps, Italy , 2003 .

[46]  W. M. Bruner Crack growth during unroofing of crustal rocks: Effects on thermoelastic behavior and near-surface stresses , 1984 .

[47]  S. Kirby,et al.  Transient creep and semibrittle behavior of crystalline rocks , 1978 .

[48]  M. H. B. Nasseri,et al.  Coupled evolutions of fracture toughness and elastic wave velocities at high crack density in thermally treated Westerly granite , 2007 .

[49]  Michael Smith,et al.  ABAQUS/Standard User's Manual, Version 6.9 , 2009 .

[50]  W. Z. Savage,et al.  Thermal stresses due to cooling of a viscoelastic oceanic lithosphere , 1989 .

[51]  M. Nasseri,et al.  Common Evolution of Mechanical and Transport Properties in Thermally Cracked Westerly Granite at Elevated Hydrostatic Pressure , 2009 .

[52]  J. B. Walsh Theoretical bounds for thermal expansion, specific heat, and strain energy due to internal stress , 1973 .

[53]  D. Peacock,et al.  Initiation of brittle faults in the upper crust: a review of field observations , 2004 .

[54]  Neville L. Carter,et al.  Upper limits of power law creep of rocks , 1987 .

[55]  J. Pinkston,et al.  Basal slip and mechanical anisotropy of biotite , 1990 .

[56]  R. J. Ackermann,et al.  Thermal expansion and the high–low transformation in quartz. I. High-temperature X-ray studies , 1974 .

[57]  W. M. Bruner,et al.  Crack growth and the thermoelastic behavior of rocks , 1979 .

[58]  J. Roux,et al.  A discrete element study of settlement in vibrated granular layers: role of contact loss and acceleration , 2008, 0808.0795.

[59]  Teng-fong Wong,et al.  Thermal expansion of rocks; some measurements at high pressure , 1979 .

[60]  M. Tsenn,et al.  Flow properties of continental lithosphere , 1987 .

[61]  Jun Korenaga,et al.  Thermal cracking and the deep hydration of oceanic lithosphere: A key to the generation of plate tectonics? , 2007 .

[62]  D. Turcotte Are transform faults thermal contraction cracks , 1974 .

[63]  A. Evans Microfracture from thermal expansion anisotropy—I. Single phase systems , 1978 .

[64]  D. Yuen,et al.  Modeling shear zones in geological and planetary sciences: solid- and fluid-thermal-mechanical approaches , 2003 .

[65]  C. Stein,et al.  The Solid Earth: An Introduction to Global Geophysics , 1991 .

[66]  Georg Dresen,et al.  Rheology of the Lower Crust and Upper Mantle: Evidence from Rock Mechanics, Geodesy, and Field Observations , 2008 .

[67]  Brian J. Skinner,et al.  SECTION 6: THERMAL EXPANSION , 1966 .