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Erschienen in: Rock Mechanics and Rock Engineering 5/2010

01.09.2010 | Original Paper

Evidence for a Long-Term Strength Threshold in Crystalline Rock

verfasst von: Branko Damjanac, Charles Fairhurst

Erschienen in: Rock Mechanics and Rock Engineering | Ausgabe 5/2010

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Abstract

The mechanical response of brittle rock to long-duration compression loading is of particular concern in underground disposal of nuclear waste, where radionuclides must be isolated from the biosphere for periods of the order of a million years. Does the strength decrease without limit over such time, or is there, for some rock types, a lower “threshold” strength below which the rock will cease to deform? This paper examines the possibility of such a threshold in silicate crystalline rocks from several perspectives, including: (1) interpretation of the results of short-term creep tests on rock; (2) numerical analysis of the effect of decrease in fracture toughness due to stress corrosion on the strength of a crystalline rock; and (3) evidence from plate tectonics, and observations of in situ rock stress in granite quarries. The study concludes that there is clear evidence of threshold strength. The threshold is of the order of 40% of the unconfined compressive strength or higher for laboratory specimens under unconfined compressive loading, and increases rapidly in absolute value with confinement. Field evidence also leads to the conclusion that the long-term strength of crystalline rock in situ is of comparable magnitude to the laboratory value.

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Fußnoten
1
It is conventional in discussion of rock deformation to consider contraction as positive; as in Fig. 1.
 
2
In the creep tests, the driving stress ratio is the applied constant load divided by the “instantaneous” strength.
 
3
“Subcritical crack growth in rock can be due to several competing mechanisms such as stress corrosion, dissolution, diffusion, ion-exchange and microplasticity, but it is likely that some sort of stress-corrosion reactions are occurring” (Potyondy, 2007).
 
4
For a detailed discussion, see Fairhurst (1971), Fundamentals of Rock Strength http://​www.​itascacg.​com/​about/​ff.​php.
 
5
If the strength is reduced uniformly throughout the sample, irrespective of the presence of the cracks or the stress states at the crack tips, the sample in the numerical simulation does indeed fail for a strength reduction ratio of 0.9, which is, considering the 10% increment, just greater than the critical strength reduction ratio, r c  = 0.84.
 
6
The World Stress Map (WSM) is a global compilation of information on the present-day stress field of the Earth's crust with 21,750 stress data records.
 
7
Shapiro et al. (2004) estimate the thickness of the lithosphere in the Canadian Shield to vary from around 150 km in the southeast to 400 km in the northwest.
 
8
Scholz (2002) has reported strain rates in the same general range; see Plate 8 (after p. 201).
 
9
The current westward movement of the North American Plate, which includes the Lac du Bonnet batholith, is considered to have started some 40–70 million years ago, during the Laramide orogeny.
 
10
The mean annual temperature of the surface in this region is approximately 12°C. During the summer, if the surface rock temperature reaches 40°C—i.e., an increase ΔT = 28°C—a significant additional horizontal stress will develop. Thus, assuming a coefficient of thermal expansion, α, for granite, of about 9 × 10−6 1/°C, and a modulus of elasticity, E, of the order of 70 GPa, the thermal stress increase, Δσ T , at the surface is estimated to be Δσ T  = αΔTE = 9 × 28 × 70,000 × 10−6 = 17.6 MPa.
 
11
Correspondingly, a concave surface will generate compressive stresses normal to (and below) the free surface, and sheet jointing will be inhibited. Fairhurst and Cook (1966) have discussed essentially the same problem, viz. slabbing observed on essentially straight-sided walls of underground openings subject to high stress—as a buckling instability. Buckling can occur on convex or even straight surfaces, but will be suppressed on concave surfaces, as in machine excavated underground tunnels.
 
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Metadaten
Titel
Evidence for a Long-Term Strength Threshold in Crystalline Rock
verfasst von
Branko Damjanac
Charles Fairhurst
Publikationsdatum
01.09.2010
Verlag
Springer Vienna
Erschienen in
Rock Mechanics and Rock Engineering / Ausgabe 5/2010
Print ISSN: 0723-2632
Elektronische ISSN: 1434-453X
DOI
https://doi.org/10.1007/s00603-010-0090-9

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