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Abstract:

In order to describe the development of plateaus such as the Tibet and the Altiplano we extend the two-layer model used in a previous paper [C. A. Perazzo and J. Gratton, Phys. Fluids22, 056603 (2010)] to reproduce the evolution of mountain ranges. As before, we consider the convergent motion of a system of two liquid layers to simulate the crust and the upper mantle that form a lithospheric plate, but now we assume that the viscosity of the crust falls off abruptly at a specified depth. We derive a nonlinear differential equation for the evolution of the thickness of the crust. The solution of this equation shows that the process consists of a first stage in which a peaked range is formed and grows until its root reaches the depth where its viscosity drops. After that the range ceases to grow in height and a flat plateau appears at its top. In this second stage the plateau width increases linearly with time as its sides move outward as traveling waves. We derive simple approximate formulas for various properties of the plateau and its evolution. © 2011 American Institute of Physics.

Registro:

Documento: Artículo
Título:Convergent flow in a two-layer system and plateau development
Autor:Gratton, J.; Perazzo, C.A.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, INFIP-CONICET, Universidad de Buenos Aires Ciudad Universitaria, Pab. I, 1428 Buenos Aires, Argentina
Departamento de Física y Química, Universidad Favaloro, Solís 453, 1078 Buenos Aires, Argentina
Palabras clave:Approximate formulas; Liquid layer; Lithospheric; Mountain ranges; Nonlinear differential equation; Traveling wave; Two layer model; Two-layer systems; Upper mantle; Approximation algorithms; Differential equations; Liquids; Viscosity; Nonlinear equations
Año:2011
Volumen:23
Número:4
DOI: http://dx.doi.org/10.1063/1.3578481
Título revista:Physics of Fluids
Título revista abreviado:Phys. Fluids
ISSN:10706631
CODEN:PHFLE
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_10706631_v23_n4_p_Gratton.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v23_n4_p_Gratton

Referencias:

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Citas:

---------- APA ----------
Gratton, J. & Perazzo, C.A. (2011) . Convergent flow in a two-layer system and plateau development. Physics of Fluids, 23(4).
http://dx.doi.org/10.1063/1.3578481
---------- CHICAGO ----------
Gratton, J., Perazzo, C.A. "Convergent flow in a two-layer system and plateau development" . Physics of Fluids 23, no. 4 (2011).
http://dx.doi.org/10.1063/1.3578481
---------- MLA ----------
Gratton, J., Perazzo, C.A. "Convergent flow in a two-layer system and plateau development" . Physics of Fluids, vol. 23, no. 4, 2011.
http://dx.doi.org/10.1063/1.3578481
---------- VANCOUVER ----------
Gratton, J., Perazzo, C.A. Convergent flow in a two-layer system and plateau development. Phys. Fluids. 2011;23(4).
http://dx.doi.org/10.1063/1.3578481