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Steady state erosion of critical Coulomb wedges with applications to ...

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B01411 HILLEY AND STRECKER: STEADY STATE EROSION OF CRITICAL COULOMB WEDGES<br />

Figure 8. Geologic map <strong>of</strong> the Himalaya. Ongoing collision <strong>of</strong> India <strong>with</strong> respect <strong>to</strong> Asia has produced<br />

15.5–19.5 mm/yr <strong>of</strong> convergence between the two. The orogenic wedge is constituted by, from northeast <strong>to</strong><br />

southwest, ophiolites and sutures, metamorphosed sedimentary rocks from the Tethys basin, high-grade<br />

metamorphic rocks <strong>of</strong> the High Himalayan Crystalline, lower-grade metamorphic rocks <strong>of</strong> the Lesser<br />

Himalaya, and sedimentary foreland deposits <strong>of</strong> the Subhimalaya. Various volcanic and crystalline rocks<br />

are included <strong>with</strong>in these units. Geology and structures simplified after Hodges et al. [2000, and references<br />

therein].<br />

apatite, sphene, and zircon fission track thermochronology<br />

[Liu, 1982], respectively. Exhumation rates over these timescales<br />

are 5–6, 5, and 5–9 mm/yr, respectively.<br />

4.1.2. Himalayan Orogenic Wedge<br />

[25] Northward translation <strong>of</strong> India <strong>with</strong> respect <strong>to</strong> Eurasia<br />

and the resulting continental collision has produced one <strong>of</strong><br />

the most spectacular active mountain belts on Earth [e.g.,<br />

Molnar and Tapponnier, 1975]. This collision has been<br />

ongoing since 50 Ma [Rowley, 1996; Searle et al., 1997;<br />

Ratschbacher et al., 1994] and has resulted in a <strong>to</strong>tal <strong>of</strong> 1800<br />

and as much as 2750 km <strong>of</strong> relative displacement between<br />

India and Eurasia in the western and eastern Himalaya,<br />

respectively [Dewey et al., 1989]. Global Positioning System<br />

(GPS) reoccupations <strong>of</strong> sites across the Himalaya indicate<br />

that the current rate <strong>of</strong> convergence is 17.5 ± 2 mm/yr [Bilham<br />

et al., 1997], and most <strong>of</strong> the resulting interseismic contraction<br />

is concentrated in the northern parts <strong>of</strong> the Himalaya<br />

[Jackson and Bilham, 1994; Bilham et al., 1997]. However,<br />

studies <strong>of</strong> uplifted and warped Quaternary terraces along the<br />

southern margin <strong>of</strong> the Nepalese Himalaya record similar<br />

deformation rates [Lave and Avouac, 2000]. Therefore, while<br />

high interseismic strain may accumulate <strong>with</strong>in the core <strong>of</strong> the<br />

Himalaya, it is apparently released primarily along its southern<br />

margin. This continued contraction <strong>with</strong>in the Himalaya<br />

has produced an orogenic wedge 250 km in width, from<br />

northeast <strong>to</strong> southwest [DeCelles and DeCelles, 2001].<br />

8<strong>of</strong>17<br />

B01411<br />

[26] The geology <strong>of</strong> the Himalayan orogenic wedge is<br />

shown in Figure 8. The regional geology reflects the progressive<br />

incorporation <strong>of</strong> material in<strong>to</strong> and exhumation <strong>of</strong> the<br />

wedge from northeast <strong>to</strong> southwest. The major lithotec<strong>to</strong>nic<br />

units exposed in the wedge are, from northeast <strong>to</strong> southwest:<br />

[27] 1. Ophiolites and crystalline batholiths represent the<br />

suture between the Indo-Eurasian plates and the eroded<br />

remnants <strong>of</strong> the volcanic arc that formed behind the<br />

northward directed subduction [Dewey and Bird, 1970;<br />

Tapponnier et al., 1981].<br />

[28] 2. These rocks are thrust on<strong>to</strong> a thick section <strong>of</strong><br />

sedimentary rocks that represent the deposition <strong>of</strong> material<br />

in<strong>to</strong> the Tethys basin prior <strong>to</strong> collision [S¸engör et al., 1988;<br />

Gaetani and Garzanti, 1991].<br />

[29] 3. A series <strong>of</strong> high-grade metamorphic rocks are<br />

juxtaposed <strong>with</strong> these metasediments by a low-angle normal<br />

fault <strong>with</strong>in the orogen’s interior [e.g., Caby et al., 1983;<br />

Burg et al., 1984; Burchfiel et al., 1992; Searle, 1986;<br />

Herren, 1987; Valdiya, 1989]. These rocks are bounded <strong>to</strong><br />

the southwest by a north dipping low-angle thrust system<br />

[e.g., Hodges, 2000] and comprise a fault-bounded wedge<br />

whose structural thickness varies along strike between 3.5<br />

and 11.7 km.<br />

[30] 4. The high-grade metamorphic rocks supersede<br />

weakly <strong>to</strong> moderately metamorphosed clastic sediments <strong>of</strong><br />

the Lesser Himalaya 8 <strong>to</strong> 10 km thick, and form a series <strong>of</strong>

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