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CHAPTER 5

              In situ stress regimes with

              lithology-dependent and

              depletion effects



              Contents

              5.1 In situ stresses in various faulting regimes              164
              5.2 In situ stress bounds and stress polygons                 165
              5.3 Lithology-dependent in situ stresses and improved stress polygon  168
                5.3.1 Lithology-dependent coefficient of friction of the fault  168
                5.3.2 Poisson’s ratioedependent stress polygon              172
                5.3.3 Relationship of the coefficient of friction of the fault and Poisson’s ratio  173
                5.3.4 Lithology-dependent minimum and maximum horizontal stresses  175
              5.4 Fault strength and in situ stresses                       176
              5.5 Depletion and injection impacts                           177
                5.5.1 Depletion-reducing horizontal stresses                177
                5.5.2 Depletion and Mohr’s circle representation            181
                5.5.3 Injection and shear failures                          182
              References                                                    183
              Abstract

                 Three in situ stress regimes are introduced, which can be used to describe the rela-
                 tionship of the vertical stress and two horizontal stresses. From Anderson’s faulting
                 theory, the lower and upper bound horizontal stresses are obtained either from the
                 coefficient of friction of the fault or from Poisson’s ratio of the formation. Both the
                 coefficient of friction of the fault and the horizontal stresses are lithology-dependent. If
                 formations in a fault are composed of shales, the coefficient of friction of the fault is
                 small. This implies that the fault zone that is composed of shales is weaker and more
                 likely to have shear failures than the fault zone composed of sandstones. An improved
                 lithology-dependent (Poisson’s ratio-dependent) stress polygon is presented, which
                 can reduce the uncertainty of in situ stress estimate by narrowing the area of the
                 conventional stress polygon. Pore pressure depletion by oil and gas extraction
                 decreases the minimum and maximum horizontal stresses. Field-measured depletion-
                 induced stress paths are also examined. Continuous depletion makes the formation
                 approach the critical stress state (shear failures), and in this state fluid injection or
                 repressurization may cause the formation shear failures.

              Keywords: Depletion and injection; Horizontal stresses; In situ stresses; Lithology-
              dependent; Poisson’s ratio dependent stress polygon; Stress polygon; Stress regimes.
              Applied Petroleum Geomechanics
              ISBN 978-0-12-814814-3                Copyright © 2019 Elsevier Inc.
              https://doi.org/10.1016/B978-0-12-814814-3.00005-8  All rights reserved.  163
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