The uplift and evolution of a noncollisional orogen developed along a subduction zone, such as the Andean system, is a direct consequence of the interrelation between plate tectonic stresses and erosion. Tectonic stresses are related to the convergence velocity and thermal state, among other causes. In this paper, a new model designed to investigate the evolution of the topography and the upper crustal deformation of noncollisional orogens in a subduction zone produced by the oceanic crust being subducted is presented. The mechanical behavior of the crust was modeled by means of finite elements methods to solve Stokes equations for a strain-rate-dependent viscoplastic rheology. The model takes into account erosion effects using interface-tracking methods to assign fictitious properties to nonmaterial elements.

1.
Cristallini
,
E. O.
, and
Allmendinger
,
R. W.
, 2001, “
Pseudo 3-D Modeling of Trishear Fault-Propagation Folding
,”
J. Struct. Geol.
0191-8141,
23
, pp.
1883
1899
.
2.
Hindle
,
D.
,
Besson
,
O.
, and
Burkhard
,
M.
, 2000, “
A Model of Displacement and Strain for Arc-Shaped Mountain Belts Applied to the Jura Arc
, ”
J. Struct. Geol.
0191-8141,
22
, pp.
1285
1296
.
3.
Pysklywec
,
R. N.
, and
Beaumont
,
C.
, 2004, “
Intraplate Tectonics: Feedback Between Radioactive Thermal Weakening and Crustal Deformation Driven by Mantle Lithosphere Instabilities
,”
Earth Planet. Sci. Lett.
0012-821X,
221
, pp.
275
292
.
4.
Babeyko
,
A. Y.
,
Sobolev
,
S. V.
,
Trumbull
,
R. B.
,
Oncken
,
O.
, and
Lavier
,
L. L.
, 2002, “
Numerical Models of Crustal Scale Convection and Partial Melting Beneath the Altiplano-Puna Plateau
,”
Earth Planet. Sci. Lett.
0012-821X,
199
, pp.
373
388
.
5.
Gemmer
,
L.
,
Nielsen
,
S. ren B.
, and
Bayer
,
U.
, 2003, “
Late Cretaceous-Cenozoic evolution of the North German Basin: Results from 3D Geodynamic Modelling
,”
Tectonophysics
0040-1951,
373
, pp.
39
54
.
6.
Willett
,
S. D.
, 1999, “
Rheological Dependence of Extension in Wedge Models of Convergent Orogens
,”
Tectonophysics
0040-1951,
305
, pp.
419
435
.
7.
Pysklywec
,
R. N.
, and
Shahnas
,
M. H.
, 2003, “
Time-Dependent Surface Topography in a Coupled Crust-Mantle Convection Model
,”
Geophys. J. Int.
0956-540X,
154
, pp.
268
278
.
8.
Behn
,
M. D.
,
Lin
,
J.
, and
Zuber
,
M. T.
, 2002, “
A Continuum Mechanics Model for Normal Faulting Using a Strain-Rate Softening Rheology: Implications for Thermal and Rheological Controls on Continental and Oceanic Rifting
,”
Earth Planet. Sci. Lett.
0012-821X,
202
, pp.
725
740
.
9.
Fullsack
,
P.
, 1995, “
An Arbitrary Lagrangian-Eulerian Formulation for Creeping Flows and its Application in Tectonic Models
,”
Geophys. J. Int.
0956-540X,
120
, pp.
1
23
.
10.
Pardo-Casas
,
F.
, and
Molnar
,
P.
, 1987, “
Relative Motion of the Nazca (Farallon) and South American Plates Since Late Cretaceous Time
,”
Tectonics
0278-7407,
6
, pp.
233
248
.
11.
Lamb
,
S.
, and
Davis
,
P.
, 2003, “
Cenozoic Climate Change as a Possible Cause for the Rise of the Andes
,”
Nature (London)
0028-0836,
425
, pp.
792
797
.
12.
Silver
,
P. G.
,
Russo
,
R. M.
, and
Lithgow-Bertelloni
,
C.
, 1998, “
Coupling of South American and African Plate Motion and Plate Deformation
,”
Science
0036-8075,
279
, pp.
60
63
.
13.
Sobolev
,
S. V.
, and
Babeyko
,
A. Y.
, 2005, “
What Drives Orogeny in the Andes?
,”
Geology
0091-7613,
33
, pp.
617
620
.
14.
Kay
,
S. M.
,
Godoy
,
E.
, and
Kurtz
,
A.
, 2005, “
Episodic Arc Migration, Crustal Thickening, Subduction Erosion, and Magmatism in the South-Central Andes
,”
Bull. Geol. Soc. Am.
0016-7606,
117
, pp.
67
88
.
15.
Ruddiman
,
W. F.
,
Raymo
,
M. E.
,
Prell
,
W. L.
, and
Kutzbach
,
J. E.
, 1997, “
The Uplift-Climate Connection: A Synthesis
”,
Tectonic Uplift and Climate Change
,
W. F.
Ruddiman
, ed.,
Plenum Press
, New York, pp.
471
515
.
16.
Beaumont
,
C.
,
Fullsack
,
P.
, and
Hamilton
,
J.
, 1992, “
Erosional Control of Active Compressional Orogens
”, Thrust tectonics,
K. R.
McClay
, ed.,
Chapman and Hall
, New York, pp.
19
31
.
17.
Girault
,
V.
, and
Raviart
,
P.-A.
, 1986,
Finite Element Methods for Navier-Stokes Equations
,
Springer-Verlag
, Berlin.
18.
Brezzi
,
F.
, and
Fortin
,
M.
, 1991,
Mixed and Hybrid Finite Elements Methods
,
Springer-Verlag
, Berlin.
19.
Bathe
,
K.-J.
, 1996,
Finite Element Procedures
,
Prentice Hall
, Englewood Cliffs, NJ.
20.
Ernst
,
W. G.
, 1975, “
Systematics of Large-Scale Tectonics and Age Progressions in Alpine and Circum-Pacific Blueschist Belts
,”
Tectonophysics
0040-1951,
26
, pp.
229
246
.
21.
Kohlstedt
,
D. L.
,
Evans
,
B.
, and
Mackwell
,
S. J.
, 1995, “
Strength of the Lithosphere: Constraints Imposed by Laboratory Experiments
,”
J. Geophys. Res.
0148-0227,
100
, pp.
17587
17602
.
22.
Jaoul
,
O.
,
Tullis
,
J.
, and
Kronenberg
,
A.
, 1984, “
The Effect of Varying Water Contents on the Creep Behavior of Heavytree Quartzite
,”
J. Geophys. Res.
0148-0227,
89
, pp.
4298
4312
.
23.
Mackwell
,
S. J.
,
Zimmerman
,
M. E.
, and
Kohlstedt
,
D. L.
, 1998, “
High Temperature Deformation of Dry Diabase with Application to Tectonics on Venus
,”
J. Geophys. Res.
0148-0227,
103
, pp.
975
984
.
24.
Tsenn
,
M. C.
, and
Carter
,
N. L.
, 1987, “
Upper Limits of Power Law Creep of Rocks
,”
Tectonophysics
0040-1951,
136
, pp.
1
26
.
25.
Byerlee
,
J.
, 1978, “
Friction of Rocks
,”
Pure Appl. Geophys.
0033-4553,
116
, pp.
615
626
.
26.
Flemings
,
P.
, and
Jordan
,
T. E.
, 1989, “
A Synthetic Stratigraphic Model of Foreland Basin Development
,”
J. Geophys. Res.
0148-0227,
94
, pp.
3851
3866
.
27.
Howard
,
A. D.
, and
Kerby
,
D.
, 1983, “
Channel Changes in Badlands
,”
Bull. Geol. Soc. Am.
0016-7606,
94
, pp.
739
752
.
28.
Willett
,
S. D.
, 1999, “
Orogeny and Orography: The Effects of Erosion on the Structure of Mountain Belts
,”
J. Geophys. Res.
0148-0227,
104
, pp.
28957
28981
.
29.
Turcotte
,
D. L.
, and
Schubert
,
G.
, 1982,
Geodynamics: Applications of Continuum Mechanics to Geological Problems
,
Wiley
, New York.
30.
Allen
,
P. A.
, and
Allen
,
J. R.
, 1990,
Basin Analysis, Principles & Applications
,
Blackwell Scientific Publications
, Oxford.
31.
Crandall
,
S. H.
,
Dahl
,
N. C.
, and
Lardner
,
T. J.
, 1978,
An Introduction to the Mechanics of Solids
,
2nd ed.
,
McGraw-Hill
, New York.
32.
Burov
,
E. B.
, and
Diament
,
M.
, 1995, “
The Effective Elastic Thickness (Te) of Continental Lithosphere: What Does It Really Mean?
,”
J. Geophys. Res.
0148-0227,
100
, pp.
3905
3927
.
33.
Karner
,
G. D.
,
Steckler
,
M. S.
, and
Thorne
,
J. A.
, 1983, “
Long-Term Thermo-Mechanical Properties of the Lithosphere
,”
Nature (London)
0028-0836,
304
, pp.
250
252
.
34.
Gansser
,
A.
, 1973, “
Facts and Theories of the Andes
,”
J. Geol. Soc. (London)
0016-7649,
129
, pp.
93
131
.
35.
Pankhurst
,
R. J.
,
Weaver
,
S. D.
,
Hervé
,
F.
, and
Larrondo
,
P.
, 1999, “
Mesozoic-Cenozoic Evolution of the North Patagonian Batholith in Aysén, Southern Chile
,”
J. Geol. Soc. (London)
0016-7649,
156
, pp.
673
694
.
36.
Somoza
,
R.
, 1998, “
Updated Nazca (Farallon) - South America Relative Motions During the Last 40My: Implications for Mountain Building in the Central Andean Region
,”
J. S. A. Earth Sci.
,
11
, pp.
211
215
.
37.
Ramos
,
V. A.
, 1989, “
Andean Foothills Structures in Northern Magallanes Basin, Argentina
,”
Am. Assoc. Pet. Geol. Bull.
0002-7464,
73
, pp.
887
903
.
38.
Cande
,
S. C.
, and
Leslie
,
R. B.
, 1986, “
Late Cenozoic Tectonics of the Southern Chile Trench
,”
J. Geophys. Res.
0148-0227,
91
, pp.
471
496
.
39.
Ramos
,
V. A.
, 2005, “
Seismic Ridge Subduction and Topography: Foreland Deformation in the Patagonian Andes
,”
Tectonophysics
0040-1951,
399
, pp.
73
86
.
40.
Hervé
,
F.
,
Demant
,
A.
,
Ramos
,
V. A.
,
Pankhurst
,
R. J.
, and
Suárez
,
M.
, 2000, “
The Southern Andes
”, Tectonic Evolution of South America,
U. G.
Cordani
,
E. J.
Milani
,
A. T.
Filho
, and
D. A.
Campos
, eds.,
International Geological Congress
, Rio de Janeiro, pp.
605
634
.
41.
Blisniuk
,
P. M.
,
Stern
,
L. A.
,
Chamberlain
,
C. P.
,
Idleman
,
B.
, and
Zeitler
,
P. K.
, 2005, “
Climatic and Ecologic Changes During Miocene Surface Uplift in the Southern Patagonian Andes
,”
Earth Planet. Sci. Lett.
0012-821X,
230
, pp.
125
142
.
42.
Thomson
,
S. N.
,
Hervé
,
F.
, and
Stöckhert
,
B.
, 2001, “
Mesozoic-Cenozoic Denudation History of the Patagonian Andes (Southern Chile) and its Correlation to Different Subduction Processes
,”
Tectonics
0278-7407,
20
, pp.
693
711
.
43.
Bourgois
,
J.
,
Martin
,
H.
,
Moigne
,
J. L.
, and
Frutos
,
J.
, 1996, “
Subduction Erosion Related to Spreading-Ridge Subduction: Taitao Peninsula (Chile Margin Triple Junction Area)
,”
Geology
0091-7613,
24
, pp.
723
726
.
44.
Nullo
,
F. E.
, and
Combina
,
A. M.
, 2002, “
Sedimentitas Terciarias Continentales
”, Geología y Recursos Naturales de Santa Cruz. Relatorio del XV Congreso Geológico Argentino. El Calafate,
M. J.
Haller
, ed.,
Asociación Geológica Argentina
, Buenos Aires, Vol.
I-16
, pp.
245
258
.
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