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200                                    Part III Underbalanced Drilling Systems




                                      Fracture Pressure, p frac
                                         Shutoff Pump

                                               ISIP∼σ h
                       Pressure          σ h


                                                  ISIP
                                          Borehole

                             Volume                   Time

        Figure 9.17 A typical shape of pressure curves recorded in mini-frac tests.

           If the created fracture is not near-vertical, the fracture is not expected to
        break down the bottomhole. The oriented coring of the bottomhole will
        not give information about the fracture orientation. In such situations, the
        nonbroken cores can be taken to laboratories for analysis of the orientation
        of the maximum horizontal stress. Rock elastic properties (elastic modulus
        and Poisson’s ratio) and rock failure parameters (shear strength, tensile
        strength, and friction angle) are also determined from laboratory tests.
           Experimental methods used for estimating the orientation of the max-
        imum horizontal stress include the following:
        •  Anelastic strain recovery (ASR) method
        •  Differential strain analysis (DSA) method
        •  Ultrasonic velocity analysis (UVA) method
        •  Paleomagnetics method
        •  Core eccentricity method
        Oriented 4-arm caliper and dipmeter logs with MWD can be used to
        identify the borehole breakout that is believed to align with the mini-
        mum horizontal stress direction. Imaging logs can identify fractures and
        breakout/failures, which can be used to infer the orientation of the mini-
        mum horizontal stress.
           To date, no reliable measuring method is available to determine the
        maximum horizontal stress. The following equation can be used to esti-
        mate its value:
                                                                    (9.45)
                             σ H ≈ 3σ h + σ Y − p frac − p pore
        where σ Y is the yield strength of rock.
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