structural geology, propagation mechanics and - Stanford School of ...
structural geology, propagation mechanics and - Stanford School of ...
structural geology, propagation mechanics and - Stanford School of ...
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
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