Convergent flow in a two-layer system and mountain building
With the purpose of modeling the process of mountain building, we investigate the evolution of the ridge produced by the convergent motion of a system consisting of two layers of liquids that differ in density and viscosity to simulate the crust and the upper mantle that form a lithospheric plate. W...
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todo:paper_10706631_v22_n5_p1_Perazzo2023-10-03T16:02:24Z Convergent flow in a two-layer system and mountain building Perazzo, C.A. Gratton, J. Basal tractions Lithospheric Mountain belts Mountain building Nonlinear differential equation Self-similar solution Theoretical result Two layers Two-layer systems Upper mantle Differential equations Landforms Nonlinear equations Density of liquids With the purpose of modeling the process of mountain building, we investigate the evolution of the ridge produced by the convergent motion of a system consisting of two layers of liquids that differ in density and viscosity to simulate the crust and the upper mantle that form a lithospheric plate. We assume that the motion is driven by basal traction. Assuming isostasy, we derive a nonlinear differential equation for the evolution of the thickness of the crust. We solve this equation numerically to obtain the profile of the range. We find an approximate self-similar solution that describes reasonably well the process and predicts simple scaling laws for the height and width of the range as well as the shape of the transversal profile. We compare the theoretical results with the profiles of real mountain belts and find an excellent agreement. © 2010 American Institute of Physics. Fil:Perazzo, C.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Gratton, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10706631_v22_n5_p1_Perazzo |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Basal tractions Lithospheric Mountain belts Mountain building Nonlinear differential equation Self-similar solution Theoretical result Two layers Two-layer systems Upper mantle Differential equations Landforms Nonlinear equations Density of liquids |
spellingShingle |
Basal tractions Lithospheric Mountain belts Mountain building Nonlinear differential equation Self-similar solution Theoretical result Two layers Two-layer systems Upper mantle Differential equations Landforms Nonlinear equations Density of liquids Perazzo, C.A. Gratton, J. Convergent flow in a two-layer system and mountain building |
topic_facet |
Basal tractions Lithospheric Mountain belts Mountain building Nonlinear differential equation Self-similar solution Theoretical result Two layers Two-layer systems Upper mantle Differential equations Landforms Nonlinear equations Density of liquids |
description |
With the purpose of modeling the process of mountain building, we investigate the evolution of the ridge produced by the convergent motion of a system consisting of two layers of liquids that differ in density and viscosity to simulate the crust and the upper mantle that form a lithospheric plate. We assume that the motion is driven by basal traction. Assuming isostasy, we derive a nonlinear differential equation for the evolution of the thickness of the crust. We solve this equation numerically to obtain the profile of the range. We find an approximate self-similar solution that describes reasonably well the process and predicts simple scaling laws for the height and width of the range as well as the shape of the transversal profile. We compare the theoretical results with the profiles of real mountain belts and find an excellent agreement. © 2010 American Institute of Physics. |
format |
JOUR |
author |
Perazzo, C.A. Gratton, J. |
author_facet |
Perazzo, C.A. Gratton, J. |
author_sort |
Perazzo, C.A. |
title |
Convergent flow in a two-layer system and mountain building |
title_short |
Convergent flow in a two-layer system and mountain building |
title_full |
Convergent flow in a two-layer system and mountain building |
title_fullStr |
Convergent flow in a two-layer system and mountain building |
title_full_unstemmed |
Convergent flow in a two-layer system and mountain building |
title_sort |
convergent flow in a two-layer system and mountain building |
url |
http://hdl.handle.net/20.500.12110/paper_10706631_v22_n5_p1_Perazzo |
work_keys_str_mv |
AT perazzoca convergentflowinatwolayersystemandmountainbuilding AT grattonj convergentflowinatwolayersystemandmountainbuilding |
_version_ |
1782028150717284352 |