Page 128 - Reservoir Geomechanics
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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.
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