Regimes of subduction and lithospheric dynamics in the Precambrian: 3D thermomechanical modelling

2016 ◽  
Vol 37 ◽  
pp. 53-70 ◽  
Author(s):  
R. Fischer ◽  
T. Gerya
Solid Earth ◽  
2014 ◽  
Vol 5 (1) ◽  
pp. 461-476 ◽  
Author(s):  
I. Yu. Popov ◽  
I. S. Lobanov ◽  
S. I. Popov ◽  
A. I. Popov ◽  
T. V. Gerya

Abstract. Geodynamic modeling is often related with challenging computations involving solution of the Stokes and continuity equations under the condition of highly variable viscosity. Based on a new analytical approach we have developed particular analytical solutions for 2-D and 3-D incompressible Stokes flows with both linearly and exponentially variable viscosity. We demonstrate how these particular solutions can be converted into 2-D and 3-D test problems suitable for benchmarking numerical codes aimed at modeling various mantle convection and lithospheric dynamics problems. The Main advantage of this new generalized approach is that a large variety of benchmark solutions can be generated, including relatively complex cases with open model boundaries, non-vertical gravity and variable gradients of the viscosity and density fields, which are not parallel to the Cartesian axes. Examples of respective 2-D and 3-D MatLab codes are provided with this paper.


1990 ◽  
Vol 95 (B3) ◽  
pp. 2701 ◽  
Author(s):  
R. Zoetemeijer ◽  
P. Desegaulx ◽  
S. Cloetingh ◽  
F. Roure ◽  
I. Moretti

2013 ◽  
Vol 5 (2) ◽  
pp. 2203-2281
Author(s):  
I. Yu. Popov ◽  
I. S. Lobanov ◽  
S. I. Popov ◽  
A. I. Popov ◽  
T. V. Gerya

Abstract. Geodynamic modeling often involves challenging computations involving solution of Stokes and continuity equations under condition of highly variable viscosity. Based on new analytical approach we developed generalized analytical solutions for 2-D and 3-D incompressible Stokes flows with both linearly and exponentially variable viscosity. We demonstrated how these generalized solutions can be converted into 2-D and 3-D test problems suitable for benchmarking numerical codes aimed at modeling various mantle convection and lithospheric dynamics problems. Main advantage of this new generalized approach is that large variety of benchmark solutions can be generated including relatively complex cases with open model boundaries, non-vertical gravity and variable gradients of viscosity and density fields, which are not parallel to Cartesian axes. Examples of respective 2-D and 3-D MatLab codes are provided with this paper.


2015 ◽  
Vol 112 (39) ◽  
pp. 12030-12035 ◽  
Author(s):  
Marissa M. Tremblay ◽  
Matthew Fox ◽  
Jennifer L. Schmidt ◽  
Alka Tripathy-Lang ◽  
Matthew M. Wielicki ◽  
...  

Exhumation of the southern Tibetan plateau margin reflects interplay between surface and lithospheric dynamics within the Himalaya–Tibet orogen. We report thermochronometric data from a 1.2-km elevation transect within granitoids of the eastern Lhasa terrane, southern Tibet, which indicate rapid exhumation exceeding 1 km/Ma from 17–16 to 12–11 Ma followed by very slow exhumation to the present. We hypothesize that these changes in exhumation occurred in response to changes in the loci and rate of rock uplift and the resulting southward shift of the main topographic and drainage divides from within the Lhasa terrane to their current positions within the Himalaya. At ∼17 Ma, steep erosive drainage networks would have flowed across the Himalaya and greater amounts of moisture would have advected into the Lhasa terrane to drive large-scale erosional exhumation. As convergence thickened and widened the Himalaya, the orographic barrier to precipitation in southern Tibet terrane would have strengthened. Previously documented midcrustal duplexing around 10 Ma generated a zone of high rock uplift within the Himalaya. We use numerical simulations as a conceptual tool to highlight how a zone of high rock uplift could have defeated transverse drainage networks, resulting in substantial drainage reorganization. When combined with a strengthening orographic barrier to precipitation, this drainage reorganization would have driven the sharp reduction in exhumation rate we observe in southern Tibet.


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