Page 187 - Well Logging and Formation Evaluation
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Homing-in Techniques                 177

                                        Table 12.1.1
                           Determining HSTF from accelerometer data
                                                             HSTF
                       A x                A y
                       +                  +                 180 -q
                       +                  -                 180 -q
                       -                  +                 - q
                       -                  -                 - q





               The arctan function will normally return a value of q between -90 and
            +90 degrees, and we are interested in the clockwise angle (between 0
            and 360 degrees) between the HS and the toolface, denoted by HSTF.
            To derive HSTF from q, the transformation must be applied as shown in
            Table 12.1.1.
               B hs and B hsr are given by the following equations:

               B hs =  B x *cos (HSTF ) -  B y *sin (HSTF )          (12.1.18)

               B hsr =  B x *sin (HSTF ) +  B y *cos (HSTF ).        (12.1.19)

               The field due to a monopole, as measured in the highside reference
            system of a survey well, may likewise be modeled by replacing the compo-
            nents E x , E y , and E z in the above equations with F x , F y , and F z , as given by
            equations 12.1.1 to 12.1.3. In terms of the measurements made of F tot , F xy ,
            F z , DF z , and AX dir , the behavior will be as shown in Figures 12.1.2 to 12.1.4.
               Similarly for a dipole, consisting of a north and a south pole of equal
            strength, the behavior will be as shown in Figures 12.1.5 to 12.1.7.
               Note that in this example the axis of the dipole is parallel with that of
            the survey hole. If the survey hole passes closer to one pole than to the
            other, or if the poles are of different strengths, the behavior of the files
            will not be symmetric. In general, where more than one pole is present,
            it is necessary to model the field for different configurations and try to
            match with the measured data.  This may be done by an automated
            procedure with a computer program.

            12.1.5 Quicklook Interpretation Methods

               Where the field is dominated by one pole, quicklook methods may
            be applied to estimate the shortest distance and direction to the pole.
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