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Completion, Workover, and Intervention Fluids                193


              Table 5.4 Brine compressibility coefficients (Bridges)
              Brine type        Density (ppg)  Density decrease  Fluid compression
                                              in ppg/100 F      lb/gall/1000 psi

              NaCl               9.0          0.314             0.0189
              NaCl               9.5          0.386             0.0188
              NaBr              12.0          0.336             0.0190
                                 9.5          0.285             0.0188
              CaCl 2
                                10.0          0.289             0.0187
              CaCl 2
                                10.5          0.273             0.0186
              CaCl 2
                                11.0          0.264             0.0187
              CaCl 2
                                12.0          0.325             0.0190
              CaCl 2 /CaBr 2
                                12.5          0.330             0.0193
              CaCl 2 /CaBr 2
                                13.5          0.343             0.0201
              CaCl 2 /CaBr 2
              CaCl 2 /CaBr 2    14.5          0.362             0.0212
                                15.5          0.387             0.0226
              CaCl 2 /Zn-CaBr 2
                                16.5          0.416             0.0224
              CaCl 2 /Zn-CaBr 2
                                17.5          0.453             0.0264
              CaCl 2 /Zn-CaBr 2
                                18.0          0.475             0.0276
              CaCl 2 /Zn-CaBr 2
                                18.5          0.501             0.0288
              CaCl 2 /Zn-CaBr 2
                                19.0          0.528             0.0301
              CaCl 2 /Zn-CaBr 2
                                            5
                 In “Well Completion Design,” the following equations are used to
              calculate brine weight adjusted for temperature and pressure.
                 Temperature correction:
                                                          ! !
                                                   1
                              ρ 5 ρ 70  2 2                               (5.2)
                               T
                                             1 2 T 2 70 α
              where:
                 ρ T is the adjusted brine density (at average wellbore temperature),

                 ρ 70 is the brine density at the API reference temperature of 70 F,
                 T is the average wellbore temperature, and

                 α is the expansion coefficient in vol/vol/ F(Table 5.2).
                 Pressure correction:
                                                       !
                                                   1
                                   ρ 5 ρ   2 2                            (5.3)
                                    p   T      1 1 P β

              where:
                 ρ p is the pressure corrected density,
                 P is the average pressure of the fluid in the wellbore, and
                 β is the compressibility coefficient in vol/vol/psi (Table 5.3).
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