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as a cut-off limit, the RQD value between classes D and E. However, such a
limit may be susceptible to change when further investigation is to be done,
but we accepted it as a preliminary result.
Thus, counting the RQD values of N166/52, on the histomogram, we
noticed, from classes B to F, that we obtained 568 values : 19, 276, 241, 25, and 7. But, since only classes E and F were below the RQD cut-off limit
of 60 %, we found that the contribution of the lowest classes to the
persistence probability was only 32 out of 568, or in other words, that
the persistence probability was 32/568 or 5.63 %. With similar calculations,
the persistence probabilities for N046/47 and N105/80 were also established
The result is the following :
P (N105/80) > P (N166/52) > P (N046/47)
9.22 % > 5.63 % > 3.16 %
Such results seem sufficient to justify the following conclusion which can
be easily understood. It is possible to classify the discontinuities, not only
qualitatively but also quantitatively, by means of their persistence probability.
With this practical example, we then showed that the persistence probability
was proportional to the degree of persistence or to the continuity of frac-
ture families :
N105/80 -> persistent family
N166/52 -> infrapersistent (or subpersistent) family
N046/47 -> impersistent family
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