Page 192 - Well Logging and Formation Evaluation
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182               Well Logging and Formation Evaluation


             200

             180

             160

             140

            AXDIR (deg)  120                                         AXDIR

             100
                                                                     HSDIR
              80

              60

              40

              20

               0
                960  980  1000 1020  1040 1060 1080 1100  1120  1140
                                      Depth

                       Figure 12.1.7 Field Due to a Dipole: AX dir/HS dir

            j a = arctan (tan  q ( )*cos ( a)).                    (12.1.26)


          Care should be taken to keep the sign of j a such that it is positive going
          clockwise from the horizontal projection of HS to the horizontal projec-
          tion of the vector linking the sensor to the pole.
            The direction of the pole relative to north, j n , if b is the azimuth of the
          survey well relative to north, is given by:

            j n =  j a +  b.                                       (12.1.27)


          Hence, in the horizontal plane, the relative position of the pole from the
          sensor position at the point of closest distance from the pole is:

            north: *cos f ( ) *cos j (  n )                        (12.1.28)
                  x

            east: *cos f ( ) *sin j (  n  . )                      (12.1.29)
                 x
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