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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Detalles Bibliográficos
Autores principales:	Perazzo, Carlos Alberto, Gratton, Julio
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:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v22_n5_p1_Perazzo http://hdl.handle.net/20.500.12110/paper_10706631_v22_n5_p1_Perazzo
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_10706631_v22_n5_p1_Perazzo
record_format	dspace
spelling	paper:paper_10706631_v22_n5_p1_Perazzo2023-06-08T16:04:32Z Convergent flow in a two-layer system and mountain building Perazzo, Carlos Alberto Gratton, Julio 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. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v22_n5_p1_Perazzo 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, Carlos Alberto Gratton, Julio 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.
author	Perazzo, Carlos Alberto Gratton, Julio
author_facet	Perazzo, Carlos Alberto Gratton, Julio
author_sort	Perazzo, Carlos Alberto
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	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v22_n5_p1_Perazzo http://hdl.handle.net/20.500.12110/paper_10706631_v22_n5_p1_Perazzo
work_keys_str_mv	AT perazzocarlosalberto convergentflowinatwolayersystemandmountainbuilding AT grattonjulio convergentflowinatwolayersystemandmountainbuilding
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Convergent flow in a two-layer system and mountain building

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