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.
to 2 m, with both sets in a cross-hatch pattern typically exhibiting similar spacing. The<br />
cross-hatch pattern is both less abundant <strong>and</strong> less persistent than the parallel <strong>and</strong><br />
anastomosing DB patterns, <strong>and</strong> <strong>of</strong>ten at least one DB set within a cross-hatch pattern<br />
terminates at the nearest dune boundary. The two sets <strong>of</strong> DBs within the cross-hatch<br />
patterns exhibit mean orientations generally similar to those <strong>of</strong> any two <strong>of</strong> the three<br />
dominant orientations described above for the parallel pattern case, <strong>and</strong> commonly<br />
intersect with an acute angle <strong>of</strong> ~80°.<br />
4.3. Anastomosing<br />
Anastomosing patterns <strong>of</strong> DBs consist <strong>of</strong> sub-parallel, intersecting b<strong>and</strong>s generally<br />
exhibiting the same dominant, high-angle-to-bedding orientation described above for the<br />
parallel pattern, but with trends <strong>and</strong> dips varying by 25 degrees or more over the scale <strong>of</strong><br />
centimeters to meters (Figure 6.5). Deformation b<strong>and</strong>s within the anastomosing patterns<br />
exhibit ranges <strong>of</strong> thickness (up to ~1.5 cm) <strong>and</strong> spacing (centimeters to meters) similar to<br />
those reported above for the parallel case. Anastomosing b<strong>and</strong> sets have previously been<br />
described in the literature, but always as existing in narrow zones <strong>of</strong> very closely spaced<br />
b<strong>and</strong>s—typically associated with faults having distinct slip planes (Aydin, 1978; Aydin<br />
<strong>and</strong> Johnson, 1983). In the Aztec, however, anastomosing DB arrays commonly cover<br />
areas up to hundreds <strong>of</strong> meters on a side, while passing through multiple dune<br />
boundaries. Indeed, the anastomosing pattern <strong>of</strong> steeply dipping, generally north-trending<br />
DBs dominates the Aztec, <strong>and</strong> the arrays <strong>of</strong> approximately parallel DBs described above<br />
can reasonably be considered as simply more orderly sub zones within the greater,<br />
anastomosing configuration.<br />
5. Numerical modeling methods<br />
Numerical techniques can be used to calculate effective permeability for any<br />
characteristic DB pattern that can be represented as a finely meshed grid <strong>of</strong> cells, each<br />
cell specifying either DB or s<strong>and</strong>stone matrix permeability (Figure 6.6). The method<br />
involves solving a single fluid phase, steady state pressure equation subject to spatially<br />
periodic boundary conditions over the entire grid to yield this upscaled or effective<br />
permeability. The fluid flux <strong>and</strong> pressure boundary conditions are said to be spatially<br />
periodic ins<strong>of</strong>ar as they implicitly assume that the domain block in question is surrounded<br />
150