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9 The tectonic stress field<br />

S v<br />

Normal<br />

B<br />

S hmin<br />

T<br />

P<br />

S Hmax<br />

S v > S Hmax > S hmin<br />

Strike-slip<br />

S Hmax<br />

P<br />

B<br />

S hmin<br />

S v<br />

S Hmax > S v > S hmin<br />

T<br />

S v<br />

Reverse<br />

B<br />

S Hmax<br />

P<br />

T<br />

S hmin<br />

S Hmax > S hmin > S v<br />

Figure 1.2. E. M. Anderson’s classification scheme for relative stress magnitudes in normal,<br />

strike-slip and reverse faulting regions. Earthquake focal mechanisms, the beach balls on the right,<br />

are explained in Chapter 5.<br />

where ρ(z)isthe density as a function of depth, g is gravitational acceleration and ρ is<br />

the mean overburden density (Jaeger and Cook 1971). In offshore areas, we correct for<br />

water depth<br />

∫ z<br />

S v = ρ w gz w +<br />

z w<br />

ρ(z)gdz ≈ ρ w gz w + ρg(z − z w ) (1.6)<br />

where ρ w is the density of water and z w is the water depth. As ρ w ∼ 1 g/cm 3 (1.0 SG),<br />

water pressure (hydrostatic pressure) increases at a rate of 10 MPa/km (0.44 psi/ft). Most

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