Mantle Viscosity: A Comparison of Models from Postglacial Rebound and from the Geoid, Plate Driving Forces, and Advected Heat Flux

Models of the radial variation of effective viscosity inferred from the Earth’s response to surface loads associated with Pleistocene deglaciation are compared to structures inferred from models of geodynamic phenomena associated with convection - the geoid, plate driving forces, and advected heat flux. While observations of the Earth’s response to surface loads do not have sufficient resolution to justify more than two viscous layers, adequately matching the observed long-wavelength geoid anomalies associated with density contrasts in the lower mantle (inferred from seismic tomography) and in the upper mantle (inferred from a model of subducted slabs) requires more structure. It is possible to explain the geoid, observed plate velocities, the advected heat flux in the lower mantle, and relative sea level variations in oceanic regions, all with a mantle with a high-viscosity/elastic lid, an asthenospheric channel of 2 x 1019 Pa s from 100 to 400 km depth, a 6 x 1020 Pa s transition zone, and a lower mantle of 6 x 1021 Pa s. The uplift history of Australia, Fennoscandia, and Laurentia can be explained with an asthenospheric viscosity less than a factor of 10 higher. Lateral variations in lower mantle viscosity are not required. Transient creep appears to be unimportant for the recent response to surface loads from Pleistocene deglaciation.

[1]  W. Peltier Mantle convection : plate tectonics and global dynamics , 1989 .

[2]  D. Yuen,et al.  Effects of lateral viscosity variations on postglacial rebound: Implications for recent sea‐level trends , 1990 .

[3]  Donald L. Turcotte,et al.  Finite amplitude convective cells and continental drift , 1967, Journal of Fluid Mechanics.

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

[5]  D. Jurdy,et al.  Subducted lithosphere, hotspots, and the geoid , 1980 .

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

[7]  E. J. Öpik,et al.  Physics of the Earth's Interior , 1959 .

[8]  C. G. Chase Subduction, the geoid, and lower mantle convection , 1979, Nature.

[9]  Robert W. Clayton,et al.  Lower mantle heterogeneity, dynamic topography and the geoid , 1985, Nature.

[10]  B. Hager Subducted slabs and the geoid: Constraints on mantle rheology and flow , 1983 .

[11]  G. Ranalli The Microphysical Approach to Mantle Rheology , 1991 .

[12]  C. Froidevaux,et al.  Geoid heights and lithospheric stresses for a dynamic Earth. , 1984 .

[13]  K. Lambeck,et al.  Late Pleistocene and Holocene sea‐level change in the Australian region and mantle rheology , 1989 .

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

[15]  Adam M. Dziewonski,et al.  Mapping the lower mantle: Determination of lateral heterogeneity in P velocity up to degree and order 6 , 1984 .

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

[17]  K. Lambeck,et al.  Holocene glacial rebound and sea-level change in NW Europe , 1990 .

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

[19]  B. Hager,et al.  Controls of the structure of subducted slabs , 1988, Nature.

[20]  P. Gasperini,et al.  Lateral heterogeneities in mantle viscosity and post‐glacial rebound , 1989 .

[21]  P. Molnar,et al.  Distribution of stresses in the descending lithosphere from a global survey of focal‐mechanism solutions of mantle earthquakes , 1971 .

[22]  B. Hager,et al.  Long-wavelength variations in Earth’s geoid: physical models and dynamical implications , 1989, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[23]  Bradford H. Hager,et al.  The distribution of earthquakes with depth and stress in subducting slabs , 1984 .

[24]  Bradford H. Hager,et al.  Large‐scale heterogeneities in the lower mantle , 1977 .

[25]  N. A. Haskell The Motion of a Viscous Fluid Under a Surface Load. Part II , 1936 .

[26]  Thomas A. Herring,et al.  Geodesy by radio interferometry: Studies of the forced nutations of the Earth. II: Interpretation , 1986 .

[27]  D. Helmberger,et al.  Upper mantle shear structure of North America , 1984 .

[28]  H. Melosh Nonlinear stress propagation in the Earth's upper mantle , 1976 .

[29]  C. Pekeris Thermal Convection in the Interior of the Earth , 1935 .

[30]  B. Hager,et al.  Geoid Anomalies in a Dynamic Earth , 1984 .

[31]  W. Peltier,et al.  Global Sea Level Rise and the Greenhouse Effect: Might They Be Connected? , 1989, Science.

[32]  Ó. Gudmundsson Some problems in global tomography: modeling the core-mantle boundary and statistical analysis of travel-time data , 1990 .

[33]  C. Vigny,et al.  Mantle dynamics with induced plate tectonics , 1989 .

[34]  J. Weertman,et al.  Creep laws for the mantle of the Earth , 1978, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[35]  L. Cathles,et al.  The Viscosity of the Earth's Mantle , 1975 .

[36]  W. Peltier,et al.  Pleistocene deglaciation and the global gravity field , 1989 .

[37]  Robert W. Clayton,et al.  Constraints on the Structure of Mantle Convection Using Seismic Observations, Flow Models, and the Geoid , 1989 .

[38]  N. A. Haskell The Motion of a Viscous Fluid Under a Surface Load , 1935 .

[39]  John H. Woodhouse,et al.  Mapping the upper mantle: Three‐dimensional modeling of earth structure by inversion of seismic waveforms , 1984 .

[40]  F. Richter Focal mechanisms and seismic energy release of deep and intermediate earthquakes in the Tonga‐Kermadec Region and their bearing on the depth extent of mantle flow , 1979 .

[41]  N. A. Haskell The Viscosity of the Asthenosphere , 1937 .

[42]  W. Peltier,et al.  Radial Resolution in the Inference of Mantle Viscosity from Observations of Glacial Isostatic Adjustment , 1991 .

[43]  S. B. Wallace,et al.  Direct measurements of tracer fluxes on the sea floor; the active MANOP chamber experiments , 1981 .

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