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reservoir geomecanics

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a.<br />

s 1<br />

b<br />

s n<br />

t<br />

s 3<br />

b.<br />

t<br />

Mohr envelope<br />

Failure occurs when: t = f(s n )<br />

t = Shear stress<br />

s n = Normal stress<br />

s 3 = 0<br />

t f<br />

s 1<br />

s 1<br />

s 3<br />

s n<br />

s<br />

s 1<br />

= UCS (C 0<br />

)<br />

c.<br />

Linearized Mohr envelope<br />

t<br />

m i (coefficient of internal friction)<br />

S 0<br />

2b<br />

s 3 = 0<br />

s 3<br />

s<br />

s 1<br />

= UCS (C 0<br />

)<br />

Figure 4.2. (a) In triaxial strength tests, at a finite effective confining pressure σ 3 (S 3 –P 0 ), samples<br />

typically fail in compression when a through-going fault develops. The angle at which the fault<br />

develops is described by β, the angle between the fault normal and the maximum compressive<br />

stress, σ 1 . (b) A series of triaxial strength tests at different effective confining pressures defines the<br />

Mohr failure envelope which typically flattens as confining pressure increases. (c) The linear<br />

simplification of the Mohr failure envelope is usually referred to as Mohr–Coulomb failure.

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