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121 Rock failure in compression, tension and shear<br />

In weak formations, such as chalks, grain crushing can occur at much lower pressures<br />

than those for sandstones (Teufel, Rhett et al. 1991).<br />

Because <strong>reservoir</strong> compaction associated with depletion is an important process in<br />

many <strong>reservoir</strong>s, inelastic compaction is discussed in detail in Chapter 12. Inaddition<br />

to porosity loss, there can be substantial permeability loss in compacting <strong>reservoir</strong>s as<br />

well as the possibility of surface subsidence and production-induced faulting in normal<br />

faulting environments. The degree to which these processes are manifest depends on the<br />

properties of the <strong>reservoir</strong> (compaction will be an important factor in weak formations<br />

such as chalks and highly compressible uncemented sands), the depth and thickness of<br />

the <strong>reservoir</strong>, the initial stress state and pore pressure and the <strong>reservoir</strong> stress path, or<br />

change in horizontal stress with depletion (as described in Chapter 3). Wong, David et al.<br />

(1997) demonstrated that the onset of grain crushing and pore collapse in sand <strong>reservoir</strong>s<br />

depends roughly on the product of the porosity times the grain radius. However, in<br />

uncemented or poorly cemented sand <strong>reservoir</strong>s, there will also be inelastic compaction<br />

due to grain rearrangement, which can be appreciable (Chapter 12).<br />

Tensile rock failure<br />

Compared to the compressional strength of rock (as discussed above) and the frictional<br />

strength of fractures and faults in earth’s crust (as discussed below), the tensile<br />

strength of rock is relatively unimportant. The reasons for this are multifold:<br />

First, the tensile strength of essentially all rocks is quite low, on the order of just a<br />

few MPa (Lockner 1995) and when pre-existing flaws exist in rock (as is the case<br />

when considering any appreciable rock volume), tensile strength would be expected<br />

to be near zero. Second, as argued in Chapter 1, in situ stress at depth is never<br />

tensile. As discussed in Chapter 6, tensile fractures can occur around wellbores in<br />

some stress states because of the stress concentration at the wellbore wall. Hydraulic<br />

fracturing is a form of tensile failure that occurs when fluid pressure exceeds the<br />

local least principal stress. This can be a natural process, leading to the formation<br />

of joints in rock (opening-mode, planar fractures) as illustrated in the inset of<br />

Figure 4.21. While joints are relatively ubiquitous in nature, they are unlikely to have<br />

a significant effect on <strong>reservoir</strong> properties (such as bulk permeability) at depth because<br />

they are essentially closed at any finite effective stress. Because fracture permeability<br />

is highly dependent on the width of any open fracture at depth, small tensile<br />

micro-fractures will have little influence on flow. The extension of a tensile fracture<br />

also occurs during hydraulic fracturing operations when fluid pressure is intentionally<br />

raised above the least principal stress to propagate a fracture which is then<br />

filled with sand or another material as a propant to increase formation permeability<br />

(Chapter 6).

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