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a. V (m/s)
p
5000 4000 3000 2000
300
21 LIMESTONE & DOLOMITE
250 Lama and Vutukuri (1978)
Carmichael (1982)
200
UCS (MPa) 150
100
50
20
0
40 60 80 100 120 140 160 180 200
∆t (µs/ft)
b. 300
LIMESTONE & DOLOMITE
250 Lama and Vutukuri (1978)
Carmichael (1982)
200
UCS (MPa) 150 22
23
100
50
0
0 20 40 60 80 100
E (GPa)
c. 300
LIMESTONE & DOLOMITE
250 Lama and Vutukuri (1978)
200
UCS (MPa) 150 24
100
25
50
26
0
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35
f
Figure 4.16. Comparison between different empirical laws (Table 4.3) for the dependence of
the strength of carbonate rocks on (a) compressional wave velocity, (b) Young’s modulus and
(c) porosity. After Chang, Zoback et al.(2006). Reprinted with permission of Elsevier.