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

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1. Abstract<br />

Chapter 3<br />

Energy-release model <strong>of</strong> compaction b<strong>and</strong> <strong>propagation</strong><br />

The elastic strain energy released per unit advance <strong>of</strong> a compaction b<strong>and</strong> in an infinite<br />

layer <strong>of</strong> thickness h is used to identify <strong>and</strong> assess quantities relevant to <strong>propagation</strong> <strong>of</strong><br />

isolated compaction b<strong>and</strong>s observed in outcrop. If the elastic moduli <strong>of</strong> the b<strong>and</strong> <strong>and</strong> the<br />

surrounding host material are similar <strong>and</strong> the b<strong>and</strong> is much thinner than the layer, the<br />

p<br />

energy released is simply σ ξhε , where σ + is the compressive stress far ahead <strong>of</strong> the<br />

b<strong>and</strong> edge, ξ h is the thickness <strong>of</strong> the b<strong>and</strong> <strong>and</strong><br />

+<br />

p<br />

ε is the uniaxial inelastic compactive<br />

strain in the b<strong>and</strong>. Using representative values inferred from field data yields an energy<br />

2<br />

release rate <strong>of</strong> 40 kJ/m , which is roughly comparable with compaction energies<br />

inferred from axisymmetric compression tests on notched s<strong>and</strong>stone samples. This<br />

suggests that a critical value <strong>of</strong> the energy release rate may govern <strong>propagation</strong>, although<br />

the particular value is likely to depend on the rock type <strong>and</strong> details <strong>of</strong> the compaction<br />

process.<br />

2. Introduction<br />

Mollema <strong>and</strong> Antonellini (1996) reported observations <strong>of</strong> tabular zones <strong>of</strong> localized<br />

compactive deformation without evident shear in the Navajo s<strong>and</strong>stone formation <strong>of</strong><br />

southern Utah. They called these structures compaction b<strong>and</strong>s (CBs). Similar structures<br />

have been observed in other field locations <strong>and</strong> Sternl<strong>of</strong> et al. (2005) have reported<br />

detailed measurements from CBs cropping out as extensive arrays in the Aztec s<strong>and</strong>stone<br />

<strong>of</strong> southeastern Nevada. Localized compaction has also been observed in laboratory<br />

axisymmetric compression tests on s<strong>and</strong>stones (Olsson, 1999; Olsson <strong>and</strong> Holcomb,<br />

2000; Baud et al., 2004; Klein et al., 2001) <strong>and</strong> in simulations <strong>of</strong> bore hole breakouts<br />

(Hamison, 2001; Haimson <strong>and</strong> Lee, 2004; Klaetsch <strong>and</strong> Haimson, 2002). There are a<br />

number <strong>of</strong> differences among the laboratory observations <strong>and</strong> between the laboratory <strong>and</strong><br />

field observations. Nevertheless, all the observed structures are characterized by localized<br />

porosity reduction in a roughly tabular zone that forms perpendicular to the maximum<br />

compressive stress. In addition to their inherent interest as a mode <strong>of</strong> localized<br />

deformation in porous rock that has been recognized only recently, CBs have potential<br />

75

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