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46  2 Exploration Methods

                                       S V               S V                S V
                               S h
                                                                     S h
                                                 S h

                               S H
                                                S H                 S H

                               (a)
                                        S V               S V               S V

                                S h               S h               S h




                                S H                                 S H
                                                  S H
                               (b)
                               Figure 2.2  (a) Geometrical relation between faulting, strike-slip faulting, and reverse fault-
                               stress axes, stress regimes, and fracture  ing regime. Red drill path is least stable;
                               planes. Brown: shear fractures; blue: ten-  green drill path is most stable. In strike-slip
                               sile fractures. Stress regimes from left to  regimes, the most stable drill path depends
                               right: normal faulting, strike-slip faulting,  on the stress ratios of S V and S H .(Please
                               and reverse faulting. (b) From left to right,  find a color version of this figure on the
                               orientation of tensile fractures in normal  color plates.)

                               stress value if the vertical stress and minimum horizontal stress values are known
                               (Moeck and Backers, 2007; Zoback, 2007). The magnitude of the minimum
                               horizontal stress can be determined by hydraulically induced tensile mini-fracs or
                               leakoff tests (LOTs), where the fracture opening pressure is nearly equivalent to the
                               minimum horizontal stress magnitude. In critically stressed reservoirs, this value
                               of the minimum horizontal stress might not be determinable, because a shear
                               fracture develops prior to a tensile fracture. The orientation of the stress tensor can,
                               however, be determined only by borehole breakouts or induced fractures in the
                               borehole. Typical data sources for such studies are image logs such as BHTV (bore
                               hole televiewer), FMI/UBI (formation imager), or caliper logs that measure the
                               elongation of the borehole. Combining the methods of stress regime determination
                               and LOT and evaluating the vertical stress, which is generally known from the
                               overburden density and thickness, the complete stress tensor can be calculated in
                               magnitude and direction.
                                 Brittle failure of rock is commonly described by the Mohr–Coulomb criterion
                               (Figure 2.3a). The Mohr circle is the illustration of acting stresses in rock. A stress
                               field is defined by the main principal stress axes s1 > s2 > s3. The failure mode
                               tensile (A, Figure 2.3a), hybrid tensile (shear and tensile; B, Figure 2.3a), and shear
                               (C, Figure 2.3a) are dependent on the differential stress s1–s3. In low differential
                               stress (near surface), tensile failure is most likely, and in depths >2000 m, shear
                               failure is more likely due to high differential stresses and related high normal
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