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

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1.5(ρgz)<br />

(b)<br />

WEST<br />

Willow Tank<br />

Upper Aztec<br />

(zone <strong>of</strong> interest)<br />

Lower Aztec<br />

Triassic strata<br />

(a)<br />

σ1<br />

~ 270/38<br />

traction-free ground surface<br />

detachment<br />

0 m<br />

200 m<br />

800 m<br />

3,600 m<br />

36 km 9 km<br />

5 km 0 km<br />

ρgz<br />

σ3<br />

~ 024/27<br />

σ2<br />

~ 138/39<br />

z<br />

EAST<br />

2(ρgz)<br />

Figure 1.11. Paleostress orientations <strong>and</strong> tectonic interpretation for the Aztec s<strong>and</strong>stone<br />

during compaction b<strong>and</strong> formation. (a) Equal area, lower hemisphere stereographic<br />

projection <strong>of</strong> the approximate inferred principal paleostress orientations (σ1 > σ2 > σ3,<br />

compression positive). (b) Simplified 2-D linear elastic, finite element model (using<br />

Abaqus®) <strong>of</strong> one tectonic scenario that could produce the inferred orientation <strong>of</strong> the<br />

maximum compressive paleostress (σ1). In this formulation, we consider a homogeneous,<br />

isotropic, linear elastic block representing an east-west cross section through the<br />

Mesozoic strata <strong>of</strong> the study area, which is orthogonal to the mean orientation <strong>of</strong> the<br />

dominant CB set. This block, the hanging wall <strong>of</strong> a horizontal thrust, is subjected to<br />

gravitational forces <strong>and</strong> unbalanced lateral forces that push it quasi-statically westward<br />

along a rigid detachment, which resists the motion by generating opposing shear tractions.<br />

The resulting trajectories <strong>of</strong> σ1 induced a few km from the eastern edge <strong>of</strong> the block <strong>and</strong><br />

within the CB-genic zone <strong>of</strong> the upper Aztec (tick marks) roughly coincide with the<br />

inferred orientation (z is depth, g is gravity, ρ is density, each grid block is 200 m by<br />

1,000 m).<br />

36

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