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Abstract:

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.

Registro:

Documento: Artículo
Título:Convergent flow in a two-layer system and mountain building
Autor:Perazzo, C.A.; Gratton, J.
Filiación:Departamento de Física y Química, Universidad Favaloro, Solís 453, Buenos Aires 1078, Argentina
INFIP-CONICET, Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pab. I, Buenos Aires 1428, Argentina
Palabras clave: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
Año:2010
Volumen:22
Número:5
Página de inicio:1
Página de fin:7
DOI: http://dx.doi.org/10.1063/1.3431740
Título revista:Physics of Fluids
Título revista abreviado:Phys. Fluids
ISSN:10706631
CODEN:PHFLE
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_10706631_v22_n5_p1_Perazzo.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v22_n5_p1_Perazzo

Referencias:

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Citas:

---------- APA ----------
Perazzo, C.A. & Gratton, J. (2010) . Convergent flow in a two-layer system and mountain building. Physics of Fluids, 22(5), 1-7.
http://dx.doi.org/10.1063/1.3431740
---------- CHICAGO ----------
Perazzo, C.A., Gratton, J. "Convergent flow in a two-layer system and mountain building" . Physics of Fluids 22, no. 5 (2010) : 1-7.
http://dx.doi.org/10.1063/1.3431740
---------- MLA ----------
Perazzo, C.A., Gratton, J. "Convergent flow in a two-layer system and mountain building" . Physics of Fluids, vol. 22, no. 5, 2010, pp. 1-7.
http://dx.doi.org/10.1063/1.3431740
---------- VANCOUVER ----------
Perazzo, C.A., Gratton, J. Convergent flow in a two-layer system and mountain building. Phys. Fluids. 2010;22(5):1-7.
http://dx.doi.org/10.1063/1.3431740