Geokon 6150F, Инструкция по эксплуатации, Страница: 19 / 32

MODEL 6150F MEMS DIGITAL ADDRESSABLE IN-PLACE INCLINOMETER | DATA REDUCTION | 11
4. DATA REDUCTION
4.1 INCLINATION CALCULATION
The output of the Model 6150F inclinometer sensor is angle of inclination. The
standard sensor has a full range of approximately ±15°.
Each sensor is provided with a unique Gauge Factor (
G
) that is used to calculate
the corrected inclination angle (
θ
) of the sensor:
θ
= G(R)
EQUATION 1: Corrected Inclination Angle
Where:
θ
= Corrected inclination angle of the sensor
G
= Gauge Factor
R
= Reading from sensor
To calculate the change in the inclination angle of the sensor, the following
equation is used:
Δ
θ
= G(R
1
-R
0
)
EQUATION 2: Change in Inclination
Where:
Δ
θ
= Change in the inclination angle of the sensor
G
= Gauge Factor
R
1
= Current reading from sensor
R
0
= Initial or Zero reading from sensor
Positive values are tilts in the direction of the arrows A+ and B+
4.2 DEFLECTION CALCULATION
The lateral displacement (D) of the top of any segment relative to the vertical line
running through the bottom of the segment is equal to:
D = Lsin
θ
EQUATION 3: Lateral Displacement
Where:
L
= The length of the segment
θ
= Inclination angle of the sensor
Equation 3 can also be expressed as:
D = LsinG(R)
Where:
G
= Gauge factor
R
= Reading from the sensor
The profile of the borehole is constructed using the cumulative sum of these
lateral displacements starting with the bottom segment (
L
1
).
For reference, see the figure to the left.
The total lateral displacement of the top of the upper segment (which is usually
at the surface), from the vertical line drawn through the bottom of the lower
segment (located at the bottom of the borehole), is:
D = L
1
sin
θ
1
+ L
2
sin
θ
2
+ L
3
sin
θ
3
+ L
4
sin
θ
4
+L
5
sin
θ
5
EQUATION 4: Total Lateral Displacement Calculation
Therefore:
D = L
1
sinG(R)
1
+ L
2
sinG(R)
2
+ L
3
sinG(R)
3
+ L
4
sinG(R)
4
+ L
5
sinG(R)
5
FIGURE 18: Deflection Intervals
2
5
1
4
3