Convergent flow in a two-layer system and mountain building

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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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Autores principales:	Perazzo, C.A., Gratton, J.
Formato:	Artículo publishedVersion
Publicado:	2010
Materias:	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
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_10706631_v22_n5_p1_Perazzo http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10706631_v22_n5_p1_Perazzo_oai
Aporte de:	Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires

id	I28-R145-paper_10706631_v22_n5_p1_Perazzo_oai
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spelling	I28-R145-paper_10706631_v22_n5_p1_Perazzo_oai2020-10-19 Perazzo, C.A. Gratton, J. 2010 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. application/pdf http://hdl.handle.net/20.500.12110/paper_10706631_v22_n5_p1_Perazzo info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Phys. Fluids 2010;22(5):1-7 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 Convergent flow in a two-layer system and mountain building info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10706631_v22_n5_p1_Perazzo_oai
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-145
collection	Repositorio Digital de la Universidad de Buenos Aires (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	Artículo Artículo publishedVersion
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
publishDate	2010
url	http://hdl.handle.net/20.500.12110/paper_10706631_v22_n5_p1_Perazzo http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10706631_v22_n5_p1_Perazzo_oai
work_keys_str_mv	AT perazzoca convergentflowinatwolayersystemandmountainbuilding AT grattonj convergentflowinatwolayersystemandmountainbuilding
_version_	1766026745660571648

Convergent flow in a two-layer system and mountain building

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