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

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To produce a consistent <strong>and</strong> representative CB map for flow modeling, we applied the<br />

simple criteria that only b<strong>and</strong> traces that could unequivocally be identified on the high-<br />

resolution scan were included on the map. In particular, no attempt was made to<br />

interpolate b<strong>and</strong> patterns through areas <strong>of</strong> poor exposure due to sediment cover or the<br />

damage caused by younger, mid-Tertiary strike-slip faulting. Nor was any attempt made<br />

to extrapolate b<strong>and</strong> patterns in order to increase the area <strong>of</strong> coverage. In this way, a<br />

consistent <strong>and</strong> conservative st<strong>and</strong>ard <strong>of</strong> objectivity was maintained while complications<br />

<strong>and</strong> uncertainties associated with pattern matching <strong>and</strong> infilling were avoided.<br />

The resulting 150,000 m 2 CB map (Figure 7.3) represents more than 2000 individual<br />

b<strong>and</strong> traces ranging from a few meters to more than 100 m in length, with an average<br />

spacing <strong>of</strong> about 1.5 to 2 m. Successive intersections between b<strong>and</strong>s occasionally form<br />

through-going trends hundreds <strong>of</strong> meters long. Average b<strong>and</strong> thickness measured in the<br />

field is about 1 cm while spacing averages about 0.5 to 0.75 m—roughly one third that<br />

captured on the map. Clustering <strong>of</strong> CBs (mm spacing) is also common, resulting in<br />

composite b<strong>and</strong>s up to 10 cm <strong>and</strong> more in total thickness. Field checking indicated that<br />

most gaps within the mapped array not attributable to sedimentary cover or fault damage<br />

do represent real interruptions in the continuity <strong>of</strong> the b<strong>and</strong> fabric, although the absence<br />

<strong>of</strong> distinct fins <strong>and</strong>/or poor image resolution was occasionally to blame. All areas <strong>of</strong><br />

b<strong>and</strong>s identified <strong>and</strong> mapped on the scan were found to exist in outcrop.<br />

4. Flow simulation model<br />

In the scenarios considered below, both single-phase <strong>and</strong> two-phase flow simulations<br />

are performed. The basic governing equation for incompressible single-phase flow in<br />

porous media is obtained by combining Darcy's law with conservation <strong>of</strong> mass:<br />

⎛ k ⎞<br />

∇ ⋅⎜<br />

∇p⎟<br />

+ Q = 0 , (1)<br />

⎝ µ ⎠<br />

where p is pressure <strong>and</strong> Q represents sources <strong>and</strong>/or sinks (e.g., production/injection<br />

wells). The fluid is described by its viscosity µ , while k represents the absolute<br />

(intrinsic) permeability <strong>of</strong> the rock. Consistent with core measurements for the s<strong>and</strong>stone<br />

systems considered here, we take k to be locally isotropic for both the compaction b<strong>and</strong>s<br />

175

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