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

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1. Abstract<br />

Chapter 4<br />

Propagation <strong>of</strong> compaction b<strong>and</strong>s in s<strong>and</strong>stone as anticracks:<br />

Field evidence, mechanical theory <strong>and</strong> numerical simulation<br />

Outcrop <strong>and</strong> petrographic observations <strong>of</strong> compaction b<strong>and</strong>s exposed in the Aztec<br />

s<strong>and</strong>stone <strong>of</strong> southeastern Nevada suggest that the <strong>mechanics</strong> <strong>of</strong> their <strong>propagation</strong> <strong>and</strong><br />

interaction can be approximated using anticrack theory. Our numerical simulations <strong>of</strong><br />

anticrack b<strong>and</strong> <strong>propagation</strong> using the boundary element method confirm this, while<br />

suggesting refinements to better account for the compacted-inclusion character <strong>of</strong> the<br />

b<strong>and</strong>s. Using realistic, field-based ranges for all physical parameters, we find that, as with<br />

opening-mode cracks, the degree to which adjacent anticrack b<strong>and</strong>s interact is inversely<br />

proportional to the magnitude <strong>of</strong> the remote differential stress acting upon them. This<br />

model observation suggests that the tendency toward anastomosis along the trend <strong>of</strong> a<br />

subparallel compaction b<strong>and</strong> array—<strong>and</strong> thus the extent to which it would impede fluid<br />

flow in that direction—can be predicted from knowledge <strong>of</strong> the remote stress state in<br />

which it formed. Conversely, the orientations <strong>and</strong> relative magnitudes <strong>of</strong> all three<br />

principal paleo stresses can be estimated from directional variations in the degree <strong>of</strong><br />

anastomosis revealed by a well-exposed (or imaged) compaction b<strong>and</strong> array.<br />

2. Introduction<br />

Compaction b<strong>and</strong>s (CBs) are a phenomenon <strong>of</strong> localized compressive failure<br />

commonly observed in outcrops <strong>of</strong> porous s<strong>and</strong>stone. They represent one kinematic end-<br />

member <strong>of</strong> a family <strong>of</strong> structures known collectively as deformation b<strong>and</strong>s (DBs), which<br />

also includes shear <strong>and</strong> dilation b<strong>and</strong>s, as well as mixed-mode combinations (Antonellini<br />

et al., 1994; Aydin, 1978; DuBernard et al., 2002; Mollema <strong>and</strong> Antonellini, 1996;<br />

Rudnicki <strong>and</strong> Sternl<strong>of</strong>, 2005; Sternl<strong>of</strong> et al., 2005). As thin, tabular features <strong>of</strong> porosity-<br />

loss compaction <strong>and</strong> order-<strong>of</strong>-magnitude permeability reduction that are millimeters to<br />

centimeters thick <strong>and</strong> tens <strong>of</strong> meters or more in planar extent, compactive DBs act as<br />

baffles to subsurface fluid flow under saturated conditions (Pittman, 1981; Freeman,<br />

1990; Antonellini <strong>and</strong> Aydin, 1994; Crawford, 1998; Gibson, 1998; Taylor <strong>and</strong> Pollard,<br />

2000; Sigda <strong>and</strong> Wilson, 2003; Sternl<strong>of</strong> et al., 2004). Where present as pervasive arrays,<br />

85

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