Page 189 - Reservoir Geomechanics
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at  the  At
                                                                             the  (i.e.  Variation  that
                                                                          strongly  in  wellbore  1.5,  =  (c)  wellbore.  at


                                                                          varies  described  the  At r/R  well.  the  present

                                                                          σ θθ  are  (6.2).  the  around  be
                                                                          that  around  of  would
                                                                          Note  calculations  equation  absence  compression  that
                                                                          S Hmax .  the  for  compression  with  the  in  σ hmin

                                                                          acting  used  position  horizontal  stress
                                       1.5                          1.5        horizontal  accordance
                                  20 MPa                    58.5 MPa         pressure  that  far-field

                                       1.4                          1.4   east–west  maximum  in  S hmin  at  minimum  effective
                                        Normalized radial distance    Normalized radial distance  subject  of  S Hmax  be  point  the
                                       1.3                          1.3   an  to  pore  and  and  present  of

                                       1.2                          1.2   R  stress  of  point  the  of  would  the  than
                                                                          radius  at  values  that  S Hmax ,  greater
                                       1.1                          1.1      Values   of
                                                                          of   wall  the  σ Hmax  slightly
                                                                          well  wall.
                                       1                                         above  azimuth
                                                                    1          wellbore  stress  is
                    140  120  100  80  60  40  20  140  120  100  80  60  40  20
                  b.          θθ   s (MPa)     c.          θθ   s (MPa)   vertical  wellbore  the  amplified  far-field  the  at  stress
                                                                          a  the  from  wall  hoop
                                                                 150      around
                                           S Hmax                         σ θθ  from  r/R,  strongly  effective  wellbore  the  1.5,

                                                                 100      stress,  distance  distance,  is  σ θθ  the  the  =
                                                               s θθ  (MPa)   and  wall,  than  from  r/R

                                                                 50       hoop  normalized  greater  r/R,  At  zero.
                                                                          effective  30%  to
                                                R                            wellbore  wellbore  well.
                                                                 0           the  with  distance,  close  the
                            S hmin                           S hmin       of  around  σ θθ  the  At  is  of
                                                                          Variation  of  S hmin ).  approximately  normalized  σ θθ  absence


                                                                          (a)  position  Variation  of  is  wall,  the
                                                                          6.2.  both  azimuth  stress  with  wellbore  in
                                           S Hmax                         Figure  (b)  σ θθ  position
                        a.                                                   with  text.  the  hoop  of  the
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