Plate generation in a simple model of lithosphere-mantle flow with dynamic self-lubrication

One of the more enigmatic features of the Earth's style of mantle convection is plate tectonics itself, in particular the existence of strike-slip, or toroidal, motion. Toroidal motion is uncharacteristic of basic thermal convection, but necessarily forms through the interaction of convective flow and nonlinear rheological mechanisms. Recent studies have implied that the empirically determined power-law rheologies of mantle silicates are not sufficient to generate the requisite toroidal motion. A simple source-sink model of mantle or lithospheric flow shows that dynamic self-lubrication, which arises through the coupling of viscous heating and temperature-dependent viscosity, is highly successful at generating strike-slip motion. In particular, as the viscosity of the fluid system becomes more temperature dependent, the toroidal flow field makes an abrupt transition from a state of weak, unplate-like motion to a state with intense and extremely focused structure. In essence, the fluid dynamical model develops strike-slip faults.

[1]  Bradford H. Hager,et al.  A simple global model of plate dynamics and mantle convection , 1981 .

[2]  Shijie Zhong,et al.  Towards a realistic simulation of plate margins in mantle convection , 1995 .

[3]  David Bercovici,et al.  A Simple Model of Plate Generation from Mantle Flow , 1993 .

[4]  W. Peltier,et al.  Plate tectonics and aspherical earth structure: The Importance of poloidal‐toroidal coupling , 1987 .

[5]  Donald W. Forsyth,et al.  On the Relative Importance of the Driving Forces of Plate Motion , 1975 .

[6]  Stuart A. Weinstein,et al.  Thermal convection with non-Newtonian plates , 1992 .

[7]  Ulrich R. Christensen,et al.  3‐D Convection With Variable Viscosity , 1991 .

[8]  Donald L. Turcotte,et al.  Geodynamics : applications of continuum physics to geological problems , 1982 .

[9]  A. Lachenbruch,et al.  Corrections to ‘Heat flow and energetics of the San Andreas Fault Zone’ and some additional comments on the relation between fault friction and observed heat flow , 1981 .

[10]  Neil M. Ribe,et al.  The dynamics of thin shells with variable viscosity and the origin of toroidal flow in the mantle , 1992 .

[11]  C. Beaumont,et al.  The evolution of sedimentary basins on a viscoelastic lithosphere: theory and examples , 1978 .

[12]  R. Gans,et al.  A New, Theoretically Tractable Earthquake Model , 1974 .

[13]  D. Bercovici A source-sink model of the generation of plate tectonics from non-Newtonian mantle flow , 1995 .

[14]  David A. Yuen,et al.  Dynamical consequences on fast subducting slabs from a self‐regulating mechanism due to viscous heating in variable viscosity convection , 1995 .

[15]  D. Bercovici On the purpose of toroidal motion in a convecting mantle , 1995 .

[16]  S. Balachandar,et al.  Viscous Dissipation in Three-Dimensional Convection with Temperature-Dependent Viscosity , 1995, Science.

[17]  D. Turcotte,et al.  One‐Dimensional Model of Shallow‐Mantle Convection , 1972 .

[18]  G. Schubert,et al.  Numerical simulations of three-dimensional thermal convection in a fluid with strongly temperature-dependent viscosity , 1991, Journal of Fluid Mechanics.

[19]  Carl W. Gable,et al.  Convection in three dimensions with surface plates: Generation of toroidal flow , 1991 .

[20]  B. Hager,et al.  Kinematic models of large‐scale flow in the Earth's mantle , 1979 .

[21]  D. Yuen,et al.  Thermomechanical modeling of pulsation tectonics and consequences on lithospheric dynamics , 1996 .

[22]  M. Steckler,et al.  Lithospheric flexure and the evolution of sedimentary basins , 1982, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[23]  B. Hager,et al.  Subduction zone dip angles and flow driven by plate motion , 1978 .

[24]  M. Gurnis,et al.  Mantle Convection with Plates and Mobile, Faulted Plate Margins , 1995, Science.

[25]  M. Richards,et al.  Toroidal‐poloidal partitioning of plate motions since 120 MA , 1993 .

[26]  Y. Ricard,et al.  Toroidal/poloidal energy partitioning and global lithospheric rotation during Cenozoic time , 1992 .

[27]  Y. Ricard,et al.  Comparison between Newtonian and non-Newtonian flow driven by internal loads , 1993 .

[28]  Paul J. Tackley,et al.  Effects of strongly variable viscosity on three‐dimensional compressible convection in planetary mantles , 1996 .

[29]  D. Bercovici,et al.  On the equipartition of kinetic energy in plate tectonics , 1991 .

[30]  B. Hager,et al.  Toroidal-Poloidal Partitioning of Lithospheric Plate Motions , 1991 .

[31]  S. Weinstein Thermal convection in a cylindrical annulus with a non-Newtonian outer surface , 1996 .

[32]  U. Christensen,et al.  Three‐dimensional convection under drifting plates , 1990 .

[33]  S. Balachandar,et al.  Localization of toroidal motion and shear heating in 3-D high Rayleigh number convection with temperature-dependent viscosity , 1995 .