HR: 0800h
AN: T31A-1276 [Abstracts]
TI: Gravitational Potential Energy of the Tibetan Plateau and the Role of Mantle Circulation in Driving
the Indian Plate
AU: * Ghosh, A
EM: aghosh@mantle.geo.sunysb.edu
AF: Stony Brook University, Department of Geosciences, Stony Brook, NY 11794
United States
AU: Holt, W E
EM: wholt@mantle.geo.sunysb.edu
AF: Stony Brook University, Department of Geosciences, Stony Brook, NY 11794
United States
AU: Flesch, L M
EM: flesch@dtm.ciw.edu
AF: Department of Terrestrial Magnetism, Carnegie Institute of Washington, Washington, DC 20015
United States
AU: Haines, A J
EM: haines@esc.cam.ac.uk
AF: University of Cambridge, Bullard Laboratories, Cambridge, CB3 0EZ
United Kingdom
AB:
We present a study of the vertically integrated deviatoric stress field for the Indian plate and the
Tibetan plateau associated with gravitational potential energy (GPE) differences. In previous
studies, the driving forces for the Indian
plate have been attributed solely to the mid-oceanic ridges that surround the entire southern
boundary of the plate. Stress magnitudes at the Tibetan plateau are presumed to provide a lower bound
to the ridge-push force magnitude that is transmitted and stored as excess GPE at
the Tibetan plateau. However, vertically integrated stress magnitude estimates of $\sim6-7\times10^{12}$
N/m in Tibet (Molnar and Lyon-Caen, 1988) far exceed those
of $\sim3\times10^{12}$ N/m (Richardson, 1992) associated with GPE at mid-oceanic ridges. This apparent
discrepancy calls
for an additional force that is required to drive the Indian plate. We use the Crust 2.0 dataset to
infer gravitational potential energy differences in the lithosphere. We then apply the thin sheet approach,
in which Stokes equations of steady motion, $\frac{\partial{\sigma}_{ij}}{\partial{x}_{ij}} + \rho g
\widehat{z}_i =0$, are integrated vertically and then solved to infer a global solution of vertically
integrated deviatoric stresses associated only with gravitational potential energy differences.
The results around Tibet and the Indian ocean dramatically illustrate the inadequacy of ridge-push forces
driving the Indian plate into Tibet. For example, we show that deviatoric stresses associated with GPE
differences between the
elevated ridges, the deeper Indian ocean, and the elevated Tibetan plateau are insufficient to explain
the onset of folding and reverse faulting that is now occurring in the
Indian Ocean within the Indo-Australian plate boundary zone. In addition, our
global deviatoric stress field solution indicates that both
the ridge-push forces ($\sim1.5\times10^{12}$ N/m) and the forces associated with GPE differences around
the Tibetan plateau ($\sim3.5\times10^{12}$ N/m) have previously
been overestimated by a factor of 2 or more. These overestimates have resulted from either incorrectly
simplified 2-D
calculations or from defining total stress as $\sigma_{ij} = \tau_{ij} + \sigma_{zz}\delta_{ij}$, in
which $\tau_{zz}= 0$, as opposed to the correct 3-D definition
$\sigma_{ij} = \tau_{ij} + 1/3 \sigma_{kk}\delta_{ij}$, in which $\tau_{zz} \ne 0$. Our results of a global
deviatoric stress field solution associated with GPE differences alone can be used to calibrate the magnitudes
of shear tractions that have to be
applied to the base of the lithosphere to give the expected styles of stresses in
tectonically active regions. Such tractions where they exist are expected to be associated with
buoyancy driven circulation of the sub-lithospheric mantle.
For Tibet in particular, N-S deviatoric compressional stresses needed to
cancel the large N-S deviatoric tension ($\sim3-3.5\times 10^{12}$ N/m) associated with Tibetan plateau GPE
can be explained by the coupling of lithospheric dynamics with buoyancy driven mantle flow, most likely
associated with the
long history of subduction of the Indo-Australian plate, both below Tibet and elsewhere.
DE: 8110 Continental tectonics--general (0905)
DE: 8120 Dynamics of lithosphere and mantle--general
DE: 8122 Dynamics, gravity and tectonics
DE: 8164 Stresses--crust and lithosphere
DE: 7218 Lithosphere and upper mantle
SC: Tectonophysics [T]
MN: 2004 AGU Fall Meeting