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a.                     V  (m/s)
                                       p
                       6000  4000 3000   2000              1000
                  300
                                          SANDSTONE
                       2
                                         Lama and Vutukuri (1978)
                         4
                                         Carmichael (1982)
                              7          Jizba (1991)
                  200
                 UCS (MPa)

                  100
                        3
                                                6
                        5
                                                1
                   0
                        50      100      150      200      250
                                       t (µs/ft)

               b. 400
                            SANDSTONE
                           Lama and Vutukuri (1978)
                           Carmichael (1982)
                  300      Jizba (1991)
                           Wong et al. (1997)       8
                 UCS (MPa)  200





                  100



                   0
                     0   10   20   30   40   50   60   70   80
                                       E (GPa)

               c.  400
                                            SANDSTONE
                                           Lama and Vutukuri (1978)
                                           Jizba (1991)
                  300
                                           Kwasniewski (1989)
                                           Wong et al. (1997)
                 UCS (MPa)  200



                  100                9


                                            10
                   0
                     0   0.05  0.1  0.15  0.2   0.25  0.3  0.35
                                        f
               Figure 4.14. Comparison between different empirical laws (Table 4.1) for the dependence of the
               strength of sandstones on (a) compressional wave velocity, (b) Young’s modulus and (c) porosity.
               After Chang, Zoback et al.(2006). Reprinted with permission of Elsevier.
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