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a.<br />

300<br />

6000<br />

4000<br />

3000<br />

V p (m/s)<br />

2000<br />

1000<br />

200<br />

2<br />

4<br />

7<br />

SANDSTONE<br />

Lama and Vutukuri (1978)<br />

Carmichael (1982)<br />

Jizba (1991)<br />

UCS (MPa)<br />

100<br />

3<br />

0<br />

5<br />

6<br />

1<br />

50 100 150 200 250<br />

t (µs/ft)<br />

b.<br />

400<br />

SANDSTONE<br />

300<br />

Lama and Vutukuri (1978)<br />

Carmichael (1982)<br />

Jizba (1991)<br />

Wong et al. (1997)<br />

8<br />

UCS (MPa)<br />

200<br />

100<br />

0<br />

0 10 20 30 40 50 60 70 80<br />

E (GPa)<br />

c.<br />

UCS (MPa)<br />

400<br />

300<br />

200<br />

SANDSTONE<br />

Lama and Vutukuri (1978)<br />

Jizba (1991)<br />

Kwasniewski (1989)<br />

Wong et al. (1997)<br />

100<br />

9<br />

0<br />

0 0.05 0.1 0.15 0.2 0.25 0.3 0.35<br />

f<br />

10<br />

Figure 4.14. Comparison between different empirical laws (Table 4.1) for the dependence of the<br />

strength of sandstones on (a) compressional wave velocity, (b) Young’s modulus and (c) porosity.<br />

After Chang, Zoback et al. (2006). Reprinted with permission of Elsevier.

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