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𝑠𝑖𝑛𝐼. 𝑠𝑖𝑛𝐴 𝑚
0 0 0 0 0 0
0
19 20 21 22 23 24
AMID XYM1 XYM2 XYM3 XYM4
Direction dependant axial magnetic interference
S
w 12
0
xy misalignment 1 xy misalignment 2 xy misalignment 3 xy misalignment 4
S/R S/R
0
- w 12 /sinI
w 34 cosA w 34 sinA
- w 34 sinA/sinI w 34 cosA/sinI
S S
𝑐𝑜𝑠 2 𝐼. 𝑠𝑖𝑛𝐴
cos𝐼 𝐺
𝑚 (𝑡𝑎𝑛𝜃. 𝑐𝑜𝑠𝐼 + 𝑠𝑖𝑛𝐼. 𝑐𝑜𝑠𝐴 𝑚 ) 𝐺(1 − 𝑠𝑖𝑛 2 𝐼. 𝑠𝑖𝑛 2 𝐴 𝑚 )
ABIXY-TI1
Accelerometer bias – axial interference correction – term1 Accelerometer bias – axial interference correction – term2 Accelerometer bias z-axis when axial interference correction applied. Accelerometer scale factor – axial interference correction – term1 Accelerometer scale factor – axial interference correction – term2 Accelerometer scale factor – axial interference correction – term3 Accelerometer scalefactor z-axis when axial interference correction applied. Magnetometer bias – axial interference correction – term1 Magnetometer bias – axial interference correction – term2 Magnetometer scale factor – axial interference correction – term1 Magnetometer scale factor – axial interference correction – term2 Magnetometer scale factor – axial interference correction – term3 E h’so lmgn cf ldwhn x ln f nc correction applied. Dip angle when axial interference correction applied.
S/R
-
−(𝑡𝑎𝑛𝜃. 𝑐𝑜𝑠𝐴 𝑚 − 𝑐𝑜𝑡𝐼) 𝐺(1 − 𝑠𝑖𝑛 2 𝐼. 𝑠𝑖𝑛 2 𝐴 𝑚 )
0
0
25
ABIXY-TI2
S/R
−𝑠𝑖𝑛𝐼 𝐺
𝑠𝑖𝑛𝐼. 𝑐𝑜𝑠𝐼. 𝑠𝑖𝑛𝐴 𝑚 (𝑡𝑎𝑛𝛩. 𝑐𝑜𝑠𝐼 + 𝑠𝑖𝑛𝐼. 𝑐𝑜𝑠𝐴 𝑚 ) 𝐺. (1 − 𝑠𝑖𝑛 2 𝐼. 𝑠𝑖𝑛 2 𝐴 𝑚 )
0
26
ABIZ
S
𝑠𝑖𝑛𝐼. 𝑐𝑜𝑠𝐼 √2 𝑠𝑖𝑛𝐼. 𝑐𝑜𝑠𝐼 √2
𝑠𝑖𝑛𝐼. 𝑐𝑜𝑠 2 𝐼. 𝑠𝑖𝑛𝐴
𝑚 . (𝑡𝑎𝑛𝜃. 𝑐𝑜𝑠𝐼 + 𝑠𝑖𝑛𝐼. 𝑐𝑜𝑠𝐴 𝑚 )
0
27
ASIXY-TI1
S
−
√2(1 − 𝑠𝑖𝑛 2 𝐼. 𝑠𝑖𝑛 2 𝐴
𝑚 )
𝑠𝑖𝑛𝐼. 𝑐𝑜𝑠 2 𝐼. 𝑠𝑖𝑛𝐴
𝑚 . (𝑡𝑎𝑛𝜃. 𝑐𝑜𝑠𝐼 + 𝑠𝑖𝑛𝐼. 𝑐𝑜𝑠𝐴 𝑚 )
0
28
ASIXY-TI2
S/R
−
2(1 − 𝑠𝑖𝑛 2 𝐼. 𝑠𝑖𝑛 2 𝐴
𝑚 )
− (𝑡𝑎𝑛𝜃. 𝑠𝑖𝑛𝐼. 𝑐𝑜𝑠𝐴 𝑚 − 𝑐𝑜𝑠𝐼) 2(1 − 𝑠𝑖𝑛 2 𝐼. 𝑠𝑖𝑛 2 A m )
0
0
29
ASIXY-TI3
S/R
𝑠𝑖𝑛𝐼. 𝑐𝑜𝑠 2 𝐼. 𝑠𝑖𝑛𝐴
𝑚 (𝑡𝑎𝑛𝛩. 𝑐𝑜𝑠𝐼 + 𝑠𝑖𝑛𝐼. 𝑐𝑜𝑠𝐴 𝑚 )
−𝑠𝑖𝑛𝐼. 𝑐𝑜𝑠𝐼
0
30
ASIZ
S
𝐺. (1 − 𝑠𝑖𝑛 2 𝐼. 𝑠𝑖𝑛 2 𝐴
𝑚 )
𝑐𝑜𝑠𝐼. 𝑠𝑖𝑛𝐴 𝑚 𝐵. 𝑐𝑜𝑠𝜃(1 − 𝑠𝑖𝑛 2 𝐼. 𝑠𝑖𝑛 2 𝐴
0
0
31
MBIXY-TI1
S/R
−
𝑚 )
𝑐𝑜𝑠𝐴 𝑚 𝐵. 𝑐𝑜𝑠𝜃(1 − 𝑠𝑖𝑛 2 𝐼. 𝑠𝑖𝑛 2 𝐴
0
0
32
MBIXY-TI2
S/R
𝑚 )
− 𝑠𝑖𝑛𝐼. 𝑠𝑖𝑛𝐴 𝑚 . (𝑡𝑎𝑛𝜃. 𝑐𝑜𝑠𝐼 + 𝑠𝑖𝑛𝐼. 𝑐𝑜𝑠𝐴 𝑚 ) √2(1 − 𝑠𝑖𝑛 2 𝐼. 𝑠𝑖𝑛 2 𝐴 𝑚 )
0
0
33
MSIXY-TI1
S
2 𝐼. 𝑐𝑜𝑠𝐴
− 𝑠𝑖𝑛𝐴 𝑚 . (𝑡𝑎𝑛𝜃. 𝑠𝑖𝑛𝐼. 𝑐𝑜𝑠𝐼 − 𝑐𝑜𝑠
𝑚 − 𝑐𝑜𝑠𝐴 𝑚 )
0
0
34
MSIXY-TI2
S/R
2(1 − 𝑠𝑖𝑛 2 𝐼. 𝑠𝑖𝑛 2 𝐴
𝑚 )
(𝑐𝑜𝑠𝐼. 𝑐𝑜𝑠 2 𝐴
2 𝐴
𝑚 − 𝑐𝑜𝑠𝐼. 𝑠𝑖𝑛
𝑚 − 𝑡𝑎𝑛𝜃. 𝑠𝑖𝑛𝐼. 𝑐𝑜𝑠𝐴 𝑚 )
0
0
35
MSIXY-TI3
S/R
2(1 − 𝑠𝑖𝑛 2 𝐼. 𝑠𝑖𝑛 2 𝐴
𝑚 )
− 𝑠𝑖𝑛𝐼. 𝑠𝑖𝑛𝐴 𝑚 (𝑡𝑎𝑛𝛩. 𝑐𝑜𝑠𝐼 + 𝑠𝑖𝑛𝐼. 𝑐𝑜𝑠𝐴 𝑚 ) 𝐵. (1 − 𝑠𝑖𝑛 2 𝐼. 𝑠𝑖𝑛 2 𝐴 𝑚 ) − 𝑠𝑖𝑛𝐼. 𝑠𝑖𝑛𝐴 𝑚 (𝑐𝑜𝑠𝐼 − 𝑡𝑎𝑛𝛩. 𝑠𝑖𝑛𝐼. 𝑐𝑜𝑠𝐴 𝑚 ) (1−𝑠𝑖𝑛 2 𝐼. 𝑠𝑖𝑛 2 𝐴 𝑚 )
0
0
36
MFI
G
0
0
37
MDI
G
1 1
0 0 0 0
0 0 0 0
38 39 40 41
DREF-R DREF-S DSF-S DST-G
Depth reference random Depth reference systematic
R S S G
D
Depth Scale Depth Stretch
D.D V
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