Table T1. Notation.
Parameter
Definition and comments
F Intensity of the local magnetic field
DEC Tabulated declination at the site under study
Inc Inclination of the local magnetic field
FNOR* Filtered version of F using the Schlumberger algorithm
FINC* Filtered version of Inc using the Schlumberger algorithm
P1AZ* Tool orientation determined by the Schlumberger algorithm
Dec Direct declination measured by the oriented GBM magnetometer
Rot Direct GBM rotation measured by its gyroscopic system; optical-gyro-based tool orientation
Fx, Fy , Fz Intensity of the local magnetic field measured by a three-axis magnetometer (GBM or GPI)
tdec Declination computed from the raw magnetic measurements (Fx, Fy , and Fz). This measurement is made in the tool frame in respect to the x-axis. It integrates both the true local value of the declination and the rotation component of the tool. If the true local value (measurement) is different than that of the tabulated declination (DEC), the orientation of the tool is incorrect. For sub-vertical boreholes, tdec = arctan (Fy/Fx).
rot Indirect tool rotation obtained by keeping the low-frequency component of tdec magnetometer-based orientation
dec Local declination obtained by keeping the high-frequency component of tdec
Drot Local difference between Rot and rot determined using the newly developed algorithm
drot Local difference between rot determined using the developed algorithm and rot determined using the Schlumberger algorithm
Ddec Local difference between Dec and dec

Notes: * = Schlumberger acronym. GBM = Göttingen Borehole Magnetometer, GPI = general-purpose inclinometry module.