Tidal Datums

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1
Datum
a base elevation to which elevations or depths are referred.
2
Water-level datum
a vertical datum used to determine heights or depths in marine applications.
3
Sounding datum
the reference surface used for soundings in a particular hydrographic survey.
4
Chart Datum (CD)
the reference surface to which depths shown on a nautical chart are referred.
5
19-year National Tidal Datum Epoch
used to calculate tidal datums from observed water levels, accounting for long-term tidal variations.
6
Water-level datums
represent local plane elevations.
7
Geodetic vertical datums
provide references for land elevations.
8
Station Datum
a fixed base elevation established at a tide station.
9
Highest Astronomical Tide (HAT)
the highest tide predicted to occur under normal meteorological conditions.
10
Mean Higher High Water (MHHW)
the average height of the higher high water occurring each tidal day over the tidal epoch.
11
Mean High Water (MHW)
the average of all daily high-water heights over the tidal epoch.
12
Mean Sea Level (MSL)
the average sea level for all stages of the tide over a long period.
13
Mean Low Water (MLW)
the average of all low-water levels over a long period.
14
Mean Lower Low Water (MLLW)
the average of the lower of the two low waters occurring each day.
15
Lowest Astronomical Tide (LAT)
the lowest predicted tide under normal meteorological conditions.
16
Diurnal Tide Level (DTL)
the arithmetic mean of MHHW and MLLW.
17
DTL = (MHHW + MLLW) / 2
Diurnal Tide Level (DTL)
18
Mean Tide Level (MTL)
the arithmetic mean of MHW and MLW.
19
MTL = (MHW + MLW) / 2
Mean Tide Level (MTL)
20
Great Diurnal Range (GT)
the difference between MHHW and MLLW.
21
GT = MHHW − MLLW
Great Diurnal Range (GT)
22
Mean Range of Tide (MN)
the difference between MHW and MLW.
23
MN = MHW – MLW
Mean Range of Tide (MN)
24
Mean Diurnal High Water Inequality (DHQ)
represents the inequality between MHHW and MHW.
25
DHQ = (MHHW − MHW) / 2
Mean Diurnal High Water Inequality (DHQ)
26
Mean Diurnal Low Water Inequality (DLQ)
represents the inequality between MLW and MLLW.
27
DLQ = (MLW − MLLW) / 2
Mean Diurnal Low Water Inequality (DLQ)
28
Greenwich High Water Interval (HWI)
the average time, in hours, between the Moon's transit over the Greenwich meridian and the subsequent high water.
29
Greenwich Low Water Interval (LWI)
the average time, in hours, between the Moon's transit over the Greenwich meridian and the subsequent low water.
30
Seaward Boundary Line (SBL) Error
an error in the seaward boundary line caused by tide-gauge or datum error.
31
e_SBL = e_TD × cot(α)
Where:
• e_SBL — error in the Seaward Boundary Line
• e_TD — tide-gauge or datum error
• α — beach slope angle
Seaward Boundary Line (SBL) Error Formula
32
A
height of the RTK GPS antenna above the reference ellipsoid.
33
RD
raw depth measured by the echosounder, calibrated to the static waterline.
34
H
height of the RTK antenna above the static waterline.
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Tc
conventional tide correction.
36
Tk
RTK tide correction.
37
SEP
separation between Chart Datum and the Reference Ellipsoid.
38
CS
Chart Sounding.
39
D
dynamic draft correction caused by vessel squat and settlement.
40
Conventional Chart-Sounding Equation
Computes chart sounding using raw measured depth and the conventional tide correction.
41
CS = RD + D − Tc
Where:
• CS — Chart Sounding
• RD — raw depth
• D — dynamic draft correction
• Tc — conventional tide correction
Conventional Chart-Sounding Equation
42
RTK Tide Correction
Determines the RTK tide correction using antenna height, antenna height above the static waterline, dynamic draft correction, and datum separation.
43
Tk = A − H + D − SEP
Where:
• Tk — RTK tide correction
• A — antenna height above the reference ellipsoid
• H — antenna height above the static waterline
• D — dynamic draft correction
• SEP — separation between Chart Datum and the Reference Ellipsoid
RTK Tide Correction
44
RTK-Based Chart Sounding Equation
Computes chart sounding using RTK-based positioning and the separation between the reference ellipsoid and Chart Datum.
45
CS = RD − A + H + SEP
Where:
• CS — Chart Sounding
• RD — raw depth
• A — antenna height above the reference ellipsoid
• H — antenna height above the static waterline
• SEP — separation between Chart Datum and the Reference Ellipsoid
RTK-Based Chart Sounding Equation
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