tidal forecasting
DESCRIPTION
Tejnik KelauatanTRANSCRIPT
Tidal Analysis
(Harmonic Analysis of Tides)
Method of Tidal Analysis
• Admiralty Method• Least Square (Harmonic Analysis)
Least Square Linear Regression
(Harmonic Analysis of Tides)
Purposes
•Tidal Amplitudes and their phases•Tidal Prediction (e.g. Sea level)
Equation
)cos()(1
k
m
kkk tASotz
tBtASotz sincos)(
Re-expressed:
Least Square Method
tBtASoiz
izizJ t
sincos)(
0)()(
^
2^2
The minimum least square error:
0)(
parameterJ
Thus:
m
it itBitASoizJ
1
2)(sin)(cos)(
m
it itBitASoiz
SoJ
1)(sin)(cos)(20
m
it itBitASoizit
AJ
1)(sin)(cos)()(cos20
m
it itBitASoizit
BJ
1
)(sin)(cos)()(sin20
Where:
Matrix form:
m
it
m
it
m
it
m
i
m
i
m
i
m
i
m
i
m
i
m
i
m
i
itiz
itiz
iz
BASo
itititit
itititit
ititm
1
1
1
1
2
11
11
2
1
11
)(sin)(
)(cos)(
)(
)(sin)(sin)(cos)(sin
)(cos)(sin)(cos)(cos
)(sin)(cos
zBASo
D
Or:
Therefore: zD
BASo
1
22 BAC
ABtan 1
Amplitude:
Phase:
Summary
m
iit
1)(sin
MATLAB Algorithm
Input(data)
Matrix D
Matrix y
Amphase
Prediction
Constituents
Main Program
Output
END
PlotsSpreadsheet
1. M22. 9 Cons3. 21 Cons4. etc
1. Elevation2. Currents3. Formatting4. etc
Example of Invalid Data (1)
Tide Elevation from Measurement and ForecastingPriok 2003, 15 days, 9 Component, Year -16
70
120
170
220
270
320
0 1000 2000 3000 4000 5000 6000 7000 8000
hours
Elev
atio
n (c
m)
Pengukuran Peramalan Linear (Pengukuran)
Example of Invalid Data (2)
Tides Data , Tanjung Priok 1999
50100150200250300350
12/1/19980:00
3/11/19990:00
6/19/19990:00
9/27/19990:00
1/5/20000:00
Time (hrs)
Elev
atio
n (c
m)
Sensitivity Process AnalysisProses Analisis Sensitivitas
220
260
300
340
380
420
12/13/1990 0:00
2/26/19910:00
5/12/19910:00
7/26/19910:00
10/9/19910:00
12/23/1991 0:00
Waktu (Tahun ke-n)
Elev
asi
Thn Ke-1
X1 X2 Xn
Thn Ke-1 + X1
Thn Ke-1 + X1+ X2
Thn Ke-1 + X1
+ X2+…+Xn
Peramalan
Komponen Peramalan Bervariasi:
9, 16, dan 37
Durasi Masukan Bervariasi: 15, 30, 45, 60, 90, 180, 365 hari
X3
Thn Ke-1 + X1+ X2+X3
Sensitivity Process Analysis
Time (n-th year)
Elev
atio
n (c
m)
Model VerificationProses Verifikasi Model
(Dilakukan di Tahun Pertama)
220
260
300
340
380
420
12/31/19900:00
1/30/19910:00
3/1/19910:00
3/31/19910:00
4/30/19910:00
5/30/19910:00
6/29/19910:00
7/29/19910:00
8/28/19910:00
9/27/19910:00
10/27/19910:00
11/26/19910:00
12/26/19910:00
Waktu (Tahun ke-n)
Elev
asi
Dihitung RPE di 15 hari awal:RPE = (data-model)/data*100%
Feb Apr Mei Jun JulJan Mar NovSepAgt DesOkt
Forecastingdata
Model Verification Process
at the first year
Time (n-th year)
Elev
atio
n (c
m)
9 Components9 ComponentsFrequency Period (degree/hr) (hrs)
M2 28.984 12.42S2 30.000 12.00N2 28.439 12.66K2 30.082 11.97K1 15.041 23.93O1 13.943 25.82P1 14.958 24.07M4 57.968 6.21
MS4 58.984 6.10
Component
16 Components16 ComponentsFrequency Period (degree/hr) (hrs)
M2 28.984 12.42S2 30.000 12.00N2 28.439 12.66K2 30.082 11.97K1 15.041 23.93O1 13.943 25.82P1 14.958 24.07Nu2 28.512 12.63Mu2 27.968 12.872N2 27.895 12.91OO1 16.139 22.31M1 14.496 24.83J1 15.585 23.10Q1 13.398 26.87L2 29.528 12.19T2 29.958 12.02
Component
37 Components37 ComponentsFrequency Period Frequency Period(degree/hr) (hrs) (degree/hr) (hrs)
M2 28.984 12.42 S1 15 24.000S2 30.000 12.00 M1 14.496 24.834N2 28.439 12.66 J1 15.585 23.099K2 30.082 11.97 Mm 0.544 661.765K1 15.041 23.93 Ssa 0.082 4390.244O1 13.943 25.82 Sa 0.041 8780.488P1 14.958 24.07 Msf 1.015 354.680M4 57.968 6.210 Mf 1.098 327.869MS4 58.984 6.103 r1 13.471 26.724M6 86.952 4.140 Q1 13.398 26.870MK3 44.025 8.177 T2 29.958 12.017S4 60.000 6.000 R2 30.041 12.017MN4 57.423 6.269 2Q1 12.854 11.984Nu2 28.512 12.626 2SM 31.015 28.007S6 90.000 4.000 M3 43.476 11.607Mu2 27.968 12.872 L2 29.528 8.2802N2 27.895 12.906 2MK 42.927 12.192OO1 16.139 22.306 M8 115.936 8.386Ld2 29.455 12.222
Component Component
Elevasi Pasang Surut Hasil Pengukuran dan PeramalanSibolga 1991, Input 15 Hari, 9 Komponen, 15 Hari Pertama
240
260
280
300
320
340
360
380
12/31/1990 0:00 1/4/1991 0:00 1/8/1991 0:00 1/12/1991 0:00 1/16/1991 0:00
Jam
Ele
vasi
(cm
)
pengukuran peramalan
Model Verification (9 Components)Model Verification (9 Components)Tide Elevation from Measurement and Forecasting
Sibolga 1991, Input 15 days, 9 Components, first 15 days
hours
Elev
atio
n (c
m)
measurement forecasting
Elevasi Pasang Surut Hasil Pengukuran dan PeramalanSibolga 1991, Input 15 Hari, 16 Komponen, 15 Hari Pertama
220
240
260
280
300
320
340
360
380
400
12/31/1990 0:00 1/4/1991 0:00 1/8/1991 0:00 1/12/1991 0:00 1/16/1991 0:00
Jam
Ele
vasi
(cm
)
pengukuran peramalan
Model Verification (16 Components)Model Verification (16 Components)Tide Elevation from Measurement and Forecasting
Sibolga 1991, Input 15 days, 16 Components, first 15 days
hours
Elev
atio
n (c
m)
measurement forecasting
Elevasi Pasang Surut Hasil Pengukuran dan PeramalanSibolga 1991, Input 15 Hari, 9 Komponen, Tahun ke-1
220
240
260
280
300
320
340
360
380
400
420
12/23/1990 0:00 3/8/1991 0:00 5/22/1991 0:00 8/5/1991 0:00 10/19/1991 0:00 1/2/1992 0:00
Jam
Elev
asi (
cm)
pengukuran peramalan
SibolgaSibolga, 9 Components, 9 ComponentsTide Elevation from Measurement and Forecasting
Sibolga 1991, Input 15 days, 9 Components, first year
hours
Elev
atio
n (c
m)
measurement forecasting
Elevasi Pasang Surut Hasil Pengukuran dan PeramalanSibolga 1991, Input 15 Hari, 16 Komponen, Tahun ke-1
220
240
260
280
300
320
340
360
380
400
420
12/23/1990 0:00 3/8/1991 0:00 5/22/1991 0:00 8/5/1991 0:00 10/19/1991 0:00 1/2/1992 0:00
Jam
Ele
vasi
(cm
)
pengukuran peramalan
SibolgaSibolga, 16 Components, 16 ComponentsTide Elevation from Measurement and Forecasting
Sibolga 1991, Input 15 days, 16 Components, first year
hours
Elev
atio
n (c
m)
measurement forecasting
Admiralty Method
• Admiralty Method
Tidal Component
Komponen Simbol Periode (jam)
Keterangan
Utama bulan M2 12.4106Utama matahari S2 12.0000Bulan akibat variasi bulanan jarak bumi-bulan N2 12.6592Matahari-bulan akibat perubahan sudut deklinasi matahari-bulan K2 11.9673
Matahari-bulan K1 23.9346Utama bulan O1 25.8194Utama matahari P1 24.0658
Utama bulan M4 6.2103Matahari-bulan MS4 6.1033
Pasang Surut Semi Diurnal
Pasang Surut Diurnal
Perairan Dangkal
1st Scheme
• Scheme I• Contain Tidal data that has been
corrected by the hour as many as 15 or 29 days (tidal elevation units used are cm). On this scheme determine the mid-observation.
2nd Scheme
• Scheme II• Contains the functions X1, Y1, X2, Y2,
X4, and Y4 are each grouped by the positive sign (+) and negative (-). The magnitude of the positive (+) and negative (-) constants obtained by multiplying the observational data at a given time (Scheme I) with a constant magnitude constituent II Scheme.
2nd Scheme
• Constant Number that Used In Scheme IIJam
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23X1 -1 -1 -1 -1 -1 -1 1 1 1 1 1 1 1 1 1 1 1 1 -1 -1 -1 -1 -1 -1Y1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 1 1 1 1 1 1 1 1 1 1 1X2 1 1 1 -1 -1 -1 -1 -1 -1 1 1 1 1 1 1 -1 -1 -1 -1 -1 -1 1 1 1Y2 1 1 1 1 1 1 -1 -1 -1 -1 -1 -1 1 1 1 1 1 1 -1 -1 -1 -1 -1 -1X4 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1Y4 1 1 1 -1 -1 -1 1 1 1 -1 -1 -1 1 1 1 -1 -1 -1 1 1 1 -1 -1 -1
Koefisien
3rd Scheme
• Is the sum of the component (+) and (-) of Scheme II.
Xo X1 Y1 X2 Y2 X4 Y4+ - + - + - + - + - + - 2000 2000 2000 2000 2000 2000
1,613.00 2,014.00 2,221.00 1,406.00 1,648.00 1,979.00 1,731.00 1,896.00 1,189.00 1,225.00 1,780.00 1,847.00 3,627.00 1,599.00 2,815.00 1,669.00 1,835.00 1,964.00 1,933.001,642.00 2,183.00 2,232.00 1,593.00 1,760.00 2,066.00 1,799.00 2,026.00 1,274.00 1,287.00 1,870.00 1,955.00 3,825.00 1,459.00 2,639.00 1,694.00 1,773.00 1,987.00 1,915.001,671.00 2,271.00 2,275.00 1,667.00 1,854.00 2,090.00 1,810.00 2,132.00 1,317.00 1,310.00 1,944.00 1,998.00 3,942.00 1,400.00 2,608.00 1,764.00 1,678.00 2,007.00 1,946.001,766.00 2,289.00 2,199.00 1,856.00 1,954.00 2,104.00 1,910.00 2,145.00 1,361.00 1,347.00 2,031.00 2,024.00 4,055.00 1,477.00 2,343.00 1,850.00 1,765.00 2,014.00 2,007.001,792.00 2,277.00 2,137.00 1,932.00 2,045.00 2,028.00 1,930.00 2,139.00 1,347.00 1,370.00 2,034.00 2,035.00 4,069.00 1,515.00 2,205.00 2,017.00 1,791.00 1,977.00 1,999.001,904.00 2,170.00 2,123.00 1,951.00 2,097.00 1,982.00 1,961.00 2,113.00 1,373.00 1,336.00 2,036.00 2,038.00 4,074.00 1,734.00 2,172.00 2,115.00 1,848.00 2,037.00 1,998.001,978.00 2,115.00 2,122.00 1,971.00 2,121.00 1,978.00 2,003.00 2,090.00 1,392.00 1,350.00 2,049.00 2,044.00 4,093.00 1,863.00 2,151.00 2,143.00 1,913.00 2,042.00 2,005.002,037.00 2,025.00 2,097.00 1,965.00 2,120.00 1,949.00 2,050.00 2,012.00 1,364.00 1,339.00 2,044.00 2,018.00 4,062.00 2,012.00 2,132.00 2,171.00 2,038.00 2,025.00 2,026.002,094.00 2,000.00 2,206.00 1,888.00 2,113.00 1,989.00 2,106.00 1,988.00 1,373.00 1,365.00 2,037.00 2,057.00 4,094.00 2,094.00 2,318.00 2,124.00 2,118.00 2,008.00 1,980.002,300.00 2,089.00 2,411.00 1,978.00 2,235.00 2,163.00 2,314.00 2,075.00 1,465.00 1,458.00 2,192.00 2,197.00 4,389.00 2,211.00 2,433.00 2,072.00 2,239.00 2,007.00 1,995.002,228.00 1,948.00 2,281.00 1,895.00 2,088.00 2,098.00 2,241.00 1,935.00 1,418.00 1,368.00 2,103.00 2,073.00 4,176.00 2,280.00 2,386.00 1,990.00 2,306.00 2,050.00 2,030.002,146.00 1,942.00 2,435.00 1,653.00 2,009.00 2,090.00 2,187.00 1,901.00 1,382.00 1,355.00 2,046.00 2,042.00 4,088.00 2,204.00 2,782.00 1,919.00 2,286.00 2,027.00 2,004.002,226.00 2,058.00 2,606.00 1,678.00 2,042.00 2,254.00 2,304.00 1,980.00 1,433.00 1,416.00 2,162.00 2,122.00 4,284.00 2,168.00 2,928.00 1,788.00 2,324.00 2,017.00 2,040.001,986.00 2,051.00 2,476.00 1,561.00 1,874.00 2,176.00 2,123.00 1,914.00 1,340.00 1,346.00 2,050.00 1,987.00 4,037.00 1,935.00 2,915.00 1,698.00 2,209.00 1,994.00 2,063.001,998.00 2,180.00 2,540.00 1,638.00 1,899.00 2,293.00 2,140.00 2,038.00 1,375.00 1,417.00 2,097.00 2,081.00 4,178.00 1,818.00 2,902.00 1,606.00 2,102.00 1,958.00 2,016.00
Y1 X2 Y2 X4 Y4X1
4th Scheme
• Contains the value of the components of Scheme II and Scheme III the second suffix is added either 0, 2, b, and c 3 aides to draw up a table based on Scheme IV
4th SchemeIndeks Kedua 0 2 b 3 c 4 dPengali untuk B (29 piantan) -29 -1 0 -1 0 -1 0Pengali untuk B (15 piantan) -15 1 0 5 0 1 0
1 1 0 -1 1 1 01 1 -1 -1 1 1 -11 1 -1 1 1 -1 -11 1 -1 1 1 -1 -11 -1 -1 1 1 -1 11 -1 -1 1 -1 1 11 -1 -1 1 -1 1 11 -1 0 -1 -1 1 01 -1 1 -1 -1 1 -11 -1 1 -1 -1 -1 -11 -1 1 -1 1 -1 -11 1 1 -1 1 -1 11 1 1 1 1 -1 11 1 1 1 1 1 1
Waktu menengah 1 1 0 1 0 1 01 1 -1 1 -1 1 -11 1 -1 1 -1 -1 -11 1 -1 -1 -1 -1 -11 -1 -1 -1 -1 -1 11 -1 -1 -1 1 -1 11 -1 -1 -1 1 1 11 -1 0 -1 1 1 01 -1 1 1 1 1 -11 -1 1 1 1 1 -11 -1 1 1 -1 -1 -11 1 1 1 -1 -1 11 1 1 1 -1 -1 11 1 1 -1 -1 1 11 1 1 1 -1 -1 11 1 0 -1 -1 1 0
Kon
stan
ta u
ntuk
15
pian
tan
Kon
stan
ta u
ntuk
29
pian
tan
5th And 6th Scheme
• Scheme V and Scheme VI is the result of matrix multiplication between the first column of these schemes with a helper table to compile Scheme V and Scheme VI Admiralty, where the price of the first column is obtained from the difference algebra by a certain rule of the components in Scheme IV.
5th And 6th SchemeSo M2 S2 N2 K1 O1 M4 MS4
X 00 = 60993 60993.00 X 10 = -2231 -22.31 22.310 -22.31 -66.93 -2231.000 156.170 -22.310
(29) : Daftar 3a X 12 - Y 1b = 3,293.00 -65.86 296.370 -32.93 -296.37 -296.370 3293.000 -65.860 65.860 (15) : Daftar 3b X 13 - Y 1c = 2,059.93 82.40 -144.195 20.60 267.79 411.986 -1215.359 61.798
X 20 = -1,380.00 13.80 207.000 -1380.00 -400.20 -13.800 27.600X 22 - Y 2b = 5,358.00 53.58 5358.000 -750.12 -3268.38 -107.160 -160.740 160.740 -160.740X 23 - Y 2c = 2,913.00 -58.26 -1893.450 728.25 2913.00 87.390 -145.650 -29.130X 42 - Y 4b = 420.00 4.200 4.20 42.000 420.000
V X 44 - Y 4d = -394.00 3.940 -3.94 -7.88 -397.940 19.700Y 10 = 7,729.00 -77.29 154.58 7806.290 -618.320 77.290 77.290Y 12 + X 1b = -4,157.70 -207.885 -41.58 207.89 498.924 -4365.585 124.731 -41.577Y 13 + X 1c = -5,324.49 106.490 106.49 -479.20 -1277.878 3460.919 -212.980 -106.490Y 20 = 225.00 -36.000 225.00 67.50 -2.250 4.500 -6.750 -2.250Y 22 + X 2b = 273.00 283.920 -40.95 -174.72 5.460 -27.300 10.920 -5.460Y 23 + X 2c = 72.00 -50.400 18.72 74.16 -2.160 6.480 -5.040 -2.160Y 42 + X 4b = 70.00 1.400 7.700 70.000
VI Y 44 + X 4d = -60.00 1.800 -0.60 -3.00 -60.000 3.600
7th And 8th Scheme
• Is the final stage of the process of looking for the tidal component according to the method of Admiralty. Charging rules of each column follows the formula contained in the first column of each of these schemes.
Go to FTP site 167.205.37.3 Find Folder KL 2206 Pengumpulan dan Analisa data Lapangan
User name : KL22062Password : padl2
• Pick a tidal data on Folder Assignment 6• Do Tidal analysis with Least Square Method with program ERG (this
program create by Edi Rahmat Gandanegara KL 96)• Do Tidal analysis with Admiralty Method using step that provide on
same folder• Do Tidal Analysis with NAOTide Program that Also provided on that
folder• Compare the results of Analysis using that different method• Write Report in English• Due date : at Midterm Exam
Project Assignment
Tidal DataHasil Pengamatan Lapangan
0
50
100
150
200
250
300
18 J
UN
I 201
1
19 J
UN
I 201
1
20 J
UN
I 201
1
21 J
UN
I 201
1
22 J
UN
I 201
1
23 J
UN
I 201
1
24 J
UN
I 201
1
25 J
UN
I 201
1
26 J
UN
I 201
1
27 J
UN
I 201
1
28 J
UN
I 201
1
29 J
UN
I 201
1
30 J
UN
I 201
1
1 JU
LI 2
011
2 JU
LI 2
011
Elevasi (m)
Tang
gal
Hasil Pengamatan Lapangan
Least Square ResultsNilai Elevasi-elevasi Penting (cm) Elevasi (cm) Highest Water Spring (HWS ) 290.52Mean High Water Spring (MHWS) 269.53Mean High Water Level (MHWL) 210.89Mean Sea Level (MSL ) 169.39Mean Low Water Level (MLWL) 127.24Mean Low Water Spring (MLWS) 91.01Lowest Water Spring (LWS ) 68.16 Nilai Elevasi-elevasi Penting di ikatkan pada LWS (cm)
Elevasi (cm)
Highest Water Spring (HWS ) 222.36Mean High Water Spring (MHWS) 201.37Mean High Water Level (MHWL) 142.73Mean Sea Level (MSL ) 101.23Mean Low Water Level (MLWL) 59.08Mean Low Water Spring (MLWS) 22.85Lowest Water Spring (LWS ) 0Tunggang pasang : 222.36 cm
KONSTITUEN AMPLITUDO BEDA FASAM2 18.92 10.74S2 9.66 ‐40.39N2 2.74 71.27K2 15.08 ‐2.02K1 47.39 29.84O1 23.73 24.02P1 13.79 112.7M4 1.47 200.92MS4 1.31 ‐10.17SO 169.39
Comparison Between Data and Result of Least Square Method
0
50
100
150
200
250
300
18 J
UN
I 201
1
19 J
UN
I 201
1
20 J
UN
I 201
1
21 J
UN
I 201
1
22 J
UN
I 201
1
23 J
UN
I 201
1
24 J
UN
I 201
1
25 J
UN
I 201
1
26 J
UN
I 201
1
27 J
UN
I 201
1
28 J
UN
I 201
1
29 J
UN
I 201
1
30 J
UN
I 201
1
1 JU
LI 2
011
2 JU
LI 2
011
Elevasi (m)
Tang
gal
Hasil Pengamatan Lapangan Hasil Peramalan Dengan Leastsquare
Admiralty Methodskema 3
Xo X1 Y1 X2 Y2 X4 Y4+ - + - + - + - + - + - 2000 2000 2000 2000 2000 2000
1,613.00 2,014.00 2,221.00 1,406.00 1,648.00 1,979.00 1,731.00 1,896.00 1,189.00 1,225.00 1,780.00 1,847.00 3,627.00 1,599.00 2,815.00 1,669.00 1,835.00 1,964.00 1,933.001,642.00 2,183.00 2,232.00 1,593.00 1,760.00 2,066.00 1,799.00 2,026.00 1,274.00 1,287.00 1,870.00 1,955.00 3,825.00 1,459.00 2,639.00 1,694.00 1,773.00 1,987.00 1,915.001,671.00 2,271.00 2,275.00 1,667.00 1,854.00 2,090.00 1,810.00 2,132.00 1,317.00 1,310.00 1,944.00 1,998.00 3,942.00 1,400.00 2,608.00 1,764.00 1,678.00 2,007.00 1,946.001,766.00 2,289.00 2,199.00 1,856.00 1,954.00 2,104.00 1,910.00 2,145.00 1,361.00 1,347.00 2,031.00 2,024.00 4,055.00 1,477.00 2,343.00 1,850.00 1,765.00 2,014.00 2,007.001,792.00 2,277.00 2,137.00 1,932.00 2,045.00 2,028.00 1,930.00 2,139.00 1,347.00 1,370.00 2,034.00 2,035.00 4,069.00 1,515.00 2,205.00 2,017.00 1,791.00 1,977.00 1,999.001,904.00 2,170.00 2,123.00 1,951.00 2,097.00 1,982.00 1,961.00 2,113.00 1,373.00 1,336.00 2,036.00 2,038.00 4,074.00 1,734.00 2,172.00 2,115.00 1,848.00 2,037.00 1,998.001,978.00 2,115.00 2,122.00 1,971.00 2,121.00 1,978.00 2,003.00 2,090.00 1,392.00 1,350.00 2,049.00 2,044.00 4,093.00 1,863.00 2,151.00 2,143.00 1,913.00 2,042.00 2,005.002,037.00 2,025.00 2,097.00 1,965.00 2,120.00 1,949.00 2,050.00 2,012.00 1,364.00 1,339.00 2,044.00 2,018.00 4,062.00 2,012.00 2,132.00 2,171.00 2,038.00 2,025.00 2,026.002,094.00 2,000.00 2,206.00 1,888.00 2,113.00 1,989.00 2,106.00 1,988.00 1,373.00 1,365.00 2,037.00 2,057.00 4,094.00 2,094.00 2,318.00 2,124.00 2,118.00 2,008.00 1,980.002,300.00 2,089.00 2,411.00 1,978.00 2,235.00 2,163.00 2,314.00 2,075.00 1,465.00 1,458.00 2,192.00 2,197.00 4,389.00 2,211.00 2,433.00 2,072.00 2,239.00 2,007.00 1,995.002,228.00 1,948.00 2,281.00 1,895.00 2,088.00 2,098.00 2,241.00 1,935.00 1,418.00 1,368.00 2,103.00 2,073.00 4,176.00 2,280.00 2,386.00 1,990.00 2,306.00 2,050.00 2,030.002,146.00 1,942.00 2,435.00 1,653.00 2,009.00 2,090.00 2,187.00 1,901.00 1,382.00 1,355.00 2,046.00 2,042.00 4,088.00 2,204.00 2,782.00 1,919.00 2,286.00 2,027.00 2,004.002,226.00 2,058.00 2,606.00 1,678.00 2,042.00 2,254.00 2,304.00 1,980.00 1,433.00 1,416.00 2,162.00 2,122.00 4,284.00 2,168.00 2,928.00 1,788.00 2,324.00 2,017.00 2,040.001,986.00 2,051.00 2,476.00 1,561.00 1,874.00 2,176.00 2,123.00 1,914.00 1,340.00 1,346.00 2,050.00 1,987.00 4,037.00 1,935.00 2,915.00 1,698.00 2,209.00 1,994.00 2,063.001,998.00 2,180.00 2,540.00 1,638.00 1,899.00 2,293.00 2,140.00 2,038.00 1,375.00 1,417.00 2,097.00 2,081.00 4,178.00 1,818.00 2,902.00 1,606.00 2,102.00 1,958.00 2,016.00
X1 Y1 X2 Y2 X4 Y4
KONSTITUEN AMPLITUDOBEDA FASA
M2 296.068S2 59.722 ‐1602.451N2 16.208 71.456K2 7.107 ‐2687.582K1 3.728 71.456O1 20.972 80.429P1 1.498 ‐1600.866M4 6.921 80.429MS4 1.498 ‐4046.107SO 0.872 ‐1665.76
Elevasi (cm)Highest Water Spring (HWS ) 394.468Lowest Water Spring (LWS ) 196.799
Elevasi (m)
Highest Water Spring (HWS ) 197.7Lowest Water Spring (LWS ) 0
Nilai Elevasi-elevasi Penting (m)
Nilai Elevasi-elevasi Penting di ikatkan pada LWS (m)
Tunggang pasang : 197 cm
Comparison Between Admiralty Result and Data
0
50
100
150
200
250
300
18 J
UN
I 201
1
19 J
UN
I 201
1
20 J
UN
I 201
1
21 J
UN
I 201
1
22 J
UN
I 201
1
23 J
UN
I 201
1
24 J
UN
I 201
1
25 J
UN
I 201
1
26 J
UN
I 201
1
27 J
UN
I 201
1
28 J
UN
I 201
1
29 J
UN
I 201
1
30 J
UN
I 201
1
1 JU
LI 2
011
2 JU
LI 2
011
Data Pengamatan Lapangan Ramal Admiralty
Comparison Between Naotide and Data
0
0.5
1
1.5
2
2.5
3
18 J
UN
I 201
1
19 J
UN
I 201
1
20 J
UN
I 201
1
21 J
UN
I 201
1
22 J
UN
I 201
1
23 J
UN
I 201
1
24 J
UN
I 201
1
25 J
UN
I 201
1
26 J
UN
I 201
1
27 J
UN
I 201
1
28 J
UN
I 201
1
29 J
UN
I 201
1
30 J
UN
I 201
1
1 JU
LI 2
011
2 JU
LI 2
011
Survey NAOTIDE
Tides