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structural geology, propagation mechanics and - Stanford School of ...

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Pollard, 2002). The particular utility <strong>of</strong> this hybrid interpretation lies in combining the<br />

analytical insights <strong>of</strong> Eshelby inclusion theory (Eshelby, 1957; Eshelby, 1959) with the<br />

power <strong>of</strong> boundary element method (BEM) simulations (Crouch <strong>and</strong> Starfield, 1983) to<br />

underst<strong>and</strong> the <strong>mechanics</strong> <strong>of</strong> CB evolution. Starting with targeted field <strong>and</strong> petrographic<br />

observations <strong>of</strong> CBs from the Aztec s<strong>and</strong>stone in the Valley <strong>of</strong> Fire, we build a<br />

mechanical analysis <strong>of</strong> these structures as Eshelby-type inclusions to establish the<br />

validity <strong>and</strong> utility <strong>of</strong> a two-dimensional anticrack treatment <strong>of</strong> CBs using a displacement<br />

discontinuity BEM.<br />

The basic hypothesis underlying this research is that a fundamental mechanism <strong>of</strong><br />

incremental, quasi-static <strong>and</strong> (anti)crack-like <strong>propagation</strong> was at work throughout the<br />

Aztec such that individual CBs tended to form orthogonal to the most compressive<br />

remote stress. The diversity <strong>of</strong> outcrop patterns observed therefore reflects the<br />

interactions <strong>of</strong> CBs with local material <strong>and</strong> stress heterogeneities through this<br />

fundamental <strong>propagation</strong> mechanism. Beyond contributing to the underst<strong>and</strong>ing <strong>of</strong> an<br />

interesting <strong>and</strong> generally overlooked mode <strong>of</strong> <strong>structural</strong> failure in porous, granular earth<br />

materials, this research is motivated by the practical goal <strong>of</strong> using mechanical<br />

underst<strong>and</strong>ing <strong>of</strong> the phenomenon to forecast its occurrence <strong>and</strong> associated fluid-flow<br />

effects in active reservoirs <strong>and</strong> aquifers. Although the research presented here is built on<br />

detailed CB data acquired from a specific outcrop <strong>of</strong> Aztec s<strong>and</strong>stone in the Valley <strong>of</strong><br />

Fire, we suggest that the intrinsic attributes identified are common to all CBs in the Aztec<br />

<strong>and</strong>, by extension, to other porous s<strong>and</strong>stones with similar depositional <strong>and</strong> tectonic<br />

histories.<br />

3. Methods<br />

We focused on a “type-locality” outcrop <strong>of</strong> CBs in Aztec s<strong>and</strong>stone near Silica Dome<br />

in the Valley <strong>of</strong> Fire State Park (Figure 2.1, inset) where elementary patterns <strong>of</strong><br />

approximately parallel b<strong>and</strong>s are well exposed. Using a steel tape <strong>and</strong> calipers, we<br />

measured tip-to-tip thickness pr<strong>of</strong>iles <strong>of</strong> the two-dimensional b<strong>and</strong> traces in outcrop<br />

(Figure 2.2), focusing on one example as representing the prototypical compaction b<strong>and</strong>.<br />

Eleven cores were collected along the trace <strong>of</strong> one CB from tip to middle, as well as<br />

from essentially undisturbed s<strong>and</strong>stone nearby. These were vacuum-impregnated with<br />

optical-grade blue epoxy <strong>and</strong> used to make 37 st<strong>and</strong>ard <strong>and</strong> eight polished thin sections.<br />

42

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