Appendix E.Data Reduction Formulas

E.1Deflection Calculation

Label

Description

ZZ

Correction Angle (usually 0)

RINT

Absolute Reading Interval in feet or meters

IA,IA

Initial A-axis Data in Digits (2sinθ=10000 @ 30, 2.5sinθ=12500 @ 30)

PA,PA

Present A-axis Data in Digits (2sinθ=10000 @ 30, 2.5sinθ=12500 @ 30)

IB,IB

Initial B-axis Data in Digits (2sinθ=10000 @ 30, 2.5sinθ=12500 @ 30)

PB,PB

Present B-axis Data in Digits (2sinθ=10000 @ 30, 2.5sinθ=12500 @ 30)

SA

Calculated Digit Change for A-axis

SB

Calculated Digit Change for B-axis

M

Multiplier, where:   geokon probe   Sinco Probe
Probe configuration   2sinθ   2.5sinθ
Metric units, millimeters   0.05   0.04
Metric units, centimeters   0.005   0.004
Imperial units, inches   0.0006   0.00048

CA

Deflection A (in inches, English units, not corrected)
Deflection A (in centimeters or millimeters, Metric units, not corrected)

CB

Deflection B (in inches, English units, not corrected)
Deflection B (in centimeters or millimeters, Metric units, not corrected)

DA

Deflection A (in inches, English units, corrected for angle)
Deflection A (in centimeters or millimeters, Metric units, corrected for angle)

DB

Deflection B (in inches, English units, corrected for angle)
Deflection B (in centimeters or millimeters, Metric units, corrected for angle)

cos

Cosine function

sin

Sine function

table 11: Data Reduction Variables (Deflection)

SA = ((PA+) − (PA-))/2 − ((IA+) − (IA-))/2
SB = ((PB+) − (PB-))/2 − ((IB+) − (IB-))/2

equation 1: Change in Digits Calculation (Deflection)

CA = M × RINT × SA
CB = M × RINT × SB
DA = (CA × cos(ZZ)) − (CB × sin(ZZ))
DB = (CA × sin(ZZ)) + (CB × cos(ZZ))

equation 2: Deflection Calculation

Note: Accumulate (Σ) DA and DB results at each depth increment (from the bottom up or the top down) to obtain the deflection change (Figure 102).

E.2Profile Calculation

Label

Description

ZZ

Correction Angle (usually 0)

RINT

Absolute Reading Interval in feet or meters

A, A

A-axis Data in Digits (2sinθ=10000 @ 30, 2.5sinθ=12500 @ 30)

B, B

B-axis Data in Digits (2sinθ=10000 @ 30, 2.5sinθ=12500 @ 30)

SA

Calculated Digit Change for A-axis

SB

Calculated Digit Change for B-axis

M

Multiplier, where:   geokon probe   Sinco Probe
Probe configuration   2sinθ   2.5sinθ
Metric units, millimeters   0.05   0.04
Metric units, centimeters   0.005   0.004
Imperial units, inches   0.0006   0.00048

CA

Deflection A (in inches, English units, not corrected)
Deflection A (in centimeters or millimeters, Metric units, not corrected)

CB

Deflection B (in inches, English units, not corrected)
Deflection B (in centimeters or millimeters, Metric units, not corrected)

DA

Deflection A (in inches, English units, corrected for angle)
Deflection A (in centimeters or millimeters, Metric units, corrected for angle)

DB

Deflection B (in inches, English units, corrected for angle)
Deflection B (in centimeters or millimeters, Metric units, corrected for angle)

cos

Cosine function

sin

Sine function

table 12: Data Reduction Variables (Profile)

SA = ((A+) − (A-))/2
SB = ((B+) − (B-))/2

equation 3: Change in Digits Calculation (Profile)

CA = M × RINT × SA
CB = M × RINT × SB
DA = (CA × cos(ZZ)) − (CB × sin(ZZ))
DB = (CA × sin(ZZ)) + (CB × cos(ZZ))

equation 4: Profile Calculation

Note: Accumulate (Σ) DA and DB results at each depth increment (from the bottom up or the top down) to obtain the profile.

E.3GTILT Users

When using GTILT with the GK-604D data files, use a Probe Constant of 10000 for both English and Metric "2.0sin" probes. For 2.5sin Units (Sinco) use a Probe Constant of 12500.

E.4SiteMaster Users

When using SiteMaster with the GK-604D, use a Probe Constant of 20000 for both English and Metric probes.