waves at south uist - august 1980 to august 1981 · 2017-07-17 · internal document waves at south...

INTERNAL DOCUMENT

WAVES AT SOUTH UIST -

AUGUST 1980 to AUGUST 1981

Some results of relevance to the Wave Energy Programme

R GLEASON and J A CRABB

[ This document should not be cited in a published bibliography, and is supplied for the use of the recipient only].

INSTITUTE OF OCEAN OCR APHIC

SCIENCES

^003

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INSTITUTE OF 0CEAN6GRAPHIC SCIENCES

Wormley, Godalming, Surrey GU8 5UB (042-879-4141)

(Director: Dr. A. S. Laughton)

Bidston Observatory,

Birkenhead,

Merseyside L43 7RA

(051-653-8633)

(Assistant Director: Dr. D. E. Cartwright)

Crossway,

Taunton,

Somerset TA1 2DW

(0823-86211)

(Assistant Director: M .J . Tucker)

WAVES AT SOUTH UIST -

AUGUST 1980 to AUGUST 1981

Some results of relevance to the Wave Energy Programme

R GLEASON and J A CRABB

Internal Document No 146

October 1981

This document should not be cited in any other paper or report except as 'personal communication' and it is for the use of the recipient only.

Institute of Oceanographic Sciences Crossway Taunton Somerset

INTRODUCTION

This document contains a selection of results from recent analyses of

the South Uist data. It extends the results previously presented in

WESC (79) DA89 and WESC (81) DA126.

The data on which the presentations are based cover the period August 1980

to August 1981.

Data are presented for three buoys which were positioned at the following

locations.

Deepwater buoy -

Offshore buoy

Inshore buoy II

positioned 057° 17' 48" N

007° 53' 54" W

in 98 m water during the period August 1980 to

August 1981.


007° 38' 09" W

in 45 m water (approx) during the period

August 1980 to August 1981.


007° 29' 06" W

in 23 m water during the period August 1980

to January 1981.

and

Inshore buoy III - positioned 057° 17' 24" N

007° 29' 09" W

in 25 m water during the period March 1981

to August 1981 .

All positions and depths are approximate as minor variations occur when

buoys are replaced on service visits. Positions are indicated on the

chart in figure 1.

The diagrams which constitute the main body of this report are arranged

in five sections as follows:

1. Waves at the deepwater buoy.

2. Waves at the offshore buoy.

3. Waves at the inshore buoy.

4. Comparisons between deepwater and offshore sites.

5. Comparisons between inshore and offshore sites.

1. Waves at the deepwater buoy

Diagrams under this heading include:

Fig 1.1 Scatter diagram of Hg v Tg Aug 80-Aug 81

Fig 1.2 Scatter diagram showing distribution

of total energy with Hg and Tg Aug 80-Aug 81

Fig 1.3-1.6 Time series of power Aug 80-Aug 81

Fig 1.7-1.10 Time series of Hg Aug 80-Aug 81

Fig 1.11-1.14 Time series of Tg Aug 80-Aug 81

2. Waves at the offshore buoy




Note: There are no data for the period October 1980 to April 1981, with

the exception of a few values in January and February 1981.

3. Waves at the inshore buoy




Note; Data from the inshore III position commence at the beginning of

March 1981.

4. Comparisons between deepwater and offshore sites

Fig 4.1-4.8 Scatter plots of offshore against simultaneous deepwater wave power

Superimposed upon each plot is the straight line which results from a major

axis regression analysis performed on each month's data. Note that the

'standard error' quoted in the figures is just the RMS perpendicular distance

of the plotted points to the fitted line and has units of kW/m.

In addition to these monthly comparisons a standard y on x regression analysis

was performed using all the data. Power at the offshore buoy as the independent

variable and power at the deepwater the dependent variable. The results are

set out below.

Slope of regression line 1.23

Intercept 0.29

Standard error of slope 0.01

Standard error of intercept 0.34

Correlation coefficient 0.958

Slope of regression hire constained

to pass through (0,0) 1.24

5. Comparisons between inshore III and offshore sites

Fig 5.1-5.5 Scatter plots of offshore against simultaneous inshore III

wave power

The results of the regression analysis performed on all the data are set

out below.

Slope of regression line 0,75

Intercept 0.37

Standard error of slope 0.01

Standard error of intercept 0.20

Correlation coefficient 0.937

Slope of regression line constained

to pass through (0,0) 0.762

Implications of comparisons

The predicted long-term average power density at the offshore site is

47.8 kW/m and the results of the regression analysis may be used to

scale this figure to form estimates of the long-term average power density

at the deepwater and inshore III sites. The results are:-

Inshore III sites 36.2 ± 0.6 kW/m

Deepwater site 59.2 ± 0.9 kW/m

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2408 UALIO OBSERVATIONS

KEY

16 PARTS PER THOTKAND (PPT)

2 NO. OF OCCURIKNCES « 1 PPT)

t - T T 1

1 2

I I I I I 3 4

1 1

1 1 1 1

2 1 2 1 2 1

1 2 2 1 1

1 2 2 2 2 1

1 5 4 3 2 1 1 1 2

1 4 6 3 2 1 3 2

3 6 7 •? 8 5 5 2 2 2 1

2 5 10 9 8 •? 8 6 2 2 2

1 8 15 14 13 12 10 9 5 3 1 1

1 6 12 N 18 14 12 9 G •? 1 1 1 1

1 2 •? n 23 21 « 18 16 6 6 4 1 1 1

2 •J 15 20 n 21 18 9 6 5 2 2 2 2 1

3 •? 1 17 22 2? 15 19 13 10 8 6 2 3 2

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6 5 4 5 5 5 5 2 1 1

I I I I I I 6 9 8 9 10

T E ( S E C O N D S )

r-T-T 11 12

1

1

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SCATTER PLOT OF HS AND TE

S n U I S T D E E P I A I A T E R W A V E R I D E R . A U G U S T 1 9 8 0 - A U G U S T 1 9 8 1

Fig. 1.1

SOUTH UIST DEEPWATER WAUERIDER (NO.6851) nrT.-iQO'i

CO

JZ

15

14 -

13 -

12 —

11

10 H

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2 6 16 16 15 14 16 1 2 4 2 2

0 8 16 1? n 1 1 13 14 8 5 0 2 0

0 4 9 13 19 14 13 10 9 1 1 0 0

0 1 3 9 13 13 1 1 13 12 4 4 3 0 0 0

0 2 4 •? 9 8 8 4 2 3 0 1 0 0 0

1 3 4 6 3 4 3 3 2 2 0 1 0

1 1 2 2 2 1 1 1 0 0 0 0

0 0 0 Q 0 0 Q 0 Q

2409 UALIO OBSERVATIONS

TOTAL ENEFWST (KWH/M) -341168.

1 I I I I I I I I I

2 3 4 5 6 I I ' I I I I I I I I I I I I I I I I

1 8 9 10 11 12 13 14 15 16 11 18 19 20

T E ( S )

D I S T R I B U T I O N OF T O T A L M E A S U R E D W A V E E N E R G Y

W I T H Hs AND TE (PPT)

S O U I S T D E E P W A T E R W A U E R I D E R A U G 8 0 / A U G 8"!

Fig. 1.2

500-

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'•19'nAM A 'Qn*Oi>l 'OO'M'O/ IM 0 'i'z'3'<'5'8"?'8'8

DAT

AUG 1980

TIME SERIES OF POWER

SaUIST DEEPWATER WAUERIDER Fig. 1.3

774 kw / m

CL

500-]

400-

300-

2 0 0 -

100-

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DAY

SEP 1980

E 300-

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I'a 3 ' 4 " 5 G 1 8 9 10'«'l2'-13'-14'-15He'l"?'l8'l9'20'2l'22'M'8<i'25'2e'8T28'29'30'31

DAT

OCT 1980

500i

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DAT

IMOU 1980

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DEC 1980


SoUIST DEEPWATER WAUERIDER Fig. 1.4

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MAT 1981

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JUi\! 1981

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DAY

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AUG 1981



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AUG 1880

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TIME SERIES OF Hs


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HAT 1981

O-'-r^gi g ^ i j5 g r ^ T g I g 'ib «'i2'i3'.i4i«' e'«'18'19'80'81'Be'B3'8<'8S'ee'CT'B8'29'30

DAT

JUIM 1981

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DAY

AUG 1981

TIME SERIES OF Hs


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AUG -1980

TIME SERIES OF TE


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DAY

APR 1981


SPUIST OFFSHORE WAUERIDER Fig. 2.2

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HAY 1981

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JUN 1981

500-

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DAY

AUG 1980

' -1' 8 ' 3 ' < ' 5^ 8^ V 8 ' 8 WM'ie'lS'-M'lS'ie'n'-W'-WSO'Bl'i

DAY

SEP 1980

as •25'28'OTW88'30

TIME SERIES OF Hs


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DAY

JAN 1981

10-1

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0 " 1 Vg " 3 " 4 I 5 " e ' •? ' 8 ' 3 ' 1 0 ' « ' 1 8 ' - 1 3 ( 1 < ' l 5 ' i e ! l l ' l 8 ' l 9 ' 2 0 ' M ' g 2 ' 2 3 ' 2 < ' 2 5 ' 2 e ' M ' 2 8

DAY

FEB 1981

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DAY

APR 1981

TIME SERIES OF Hs


Hs(ri) Hs(n)

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SEP 1980

TIME SERIES OE TE


201

-16 -

12

8 -

'I'Z'S' 'S'G'TS'S '104l'12'1344'15'ieWl'l8'ia'80'ai'22'2328526 2tf28^ DAT

JAM 1981

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12-

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4-

-1 ' gfgl 4 5 e'i'e's'lo'ii'ie'iSK'ns'ien'ie'-is'ao'M'Ea'aa'M'as'ae'CT'as DAT

FEB 1981

2 0 - 1

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12-

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APR 1981

TIME SERIES OF TE

SoUIST OFFSHORE UAUERIDER Fig. 2.8

Te(sec) Tec SEC)

CO •

CO

o

" n

CO •I

ni o 9" 3 0

no rn (O

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DAT

AUG 1980


SPU I S T NEARSHORE 2 UIAUERIDER Fig. 3.1

500-1

<400

£ 3004 3 qI 2004

100-

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DAY

SEP 1980

£ 300-

100-

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DAT

OCT 1980

500-1

400

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DAT

MOU 1980

3 dl

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400-

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0 ' lpl. 10'11'12'-13'L<'«'ie'«'18'19'a0'2l'82'B3'Z4'8S'2G'21'28'29'30'31

DAT

DEC 1980


SoUIST NEARSHORE 2 WAUERIDER Fig. 3.2

500

400-

£ 300-

I i£ 2004

100-

lU DAY

JAM 1981

500-1

400

£ 300-

I 1.

2 0 0 -

100

0 I I' 2 ' 3 ' I

MAR 1981

500-1

400-

£ 300-§

£ 200

100-

' 1' 2 ' 3 ' 4 ' 5 ' E^LT'8 ' 8 H0'«'12'13'14'LS'IEW"»''A'M'86WA2'23'24'25';^^

DAY DAY

APR 1981


SoUIST NEARSHORE 2 X 3 WAUERIDER Fig. 3.3

500-,

400

300-

2 0 0 -

100

0 ' ''''l''2~r3T'gTgT™TgT'g^

DAY

MAY 1981

500-

400-

£ 300H

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200

100-

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DAT

JUN 1981

0-

500-|

400-

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DAT

JUL 1981

I

500

400-

300-

2 0 0 -

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'•l'2'3'4'5'e'T8'9 'l0'«'12'13'1<'-13'ie'-n'l849'20'Zl'2a'ra'a4'8!S'2e'

DAY

AUG 1981


SoUIST NEARSHORE 3 WAUERIDER Fig. 3.4

10-

8 -

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I

'83'2<'8S'BE'8T88'88'30'31

DAY

AUG 1980

TIME SERIES OF Hs

SoUIST MEARSHORE 2 WAWERIDER Fig. 3.5

1

0 ' 1 ' 2 ' 3 ' < ' 5 ' 6 ' T ' 8 ' 9 'L0''IL'12'1^4'15'IE'19'18'19'20'M'G2'23'G<'25'2E'29'28'29'30

DAY

SEP 1980

1

DAY

OCT 1980

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DAY

IMOU 1980

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DAY

DEC 1980

TIME SERIES OF Hs

SpUIST NEARSHORE 2 WAUERIDER Fig. 3.6

10

8 -

6 -

4-

2 -

0 ' 1' 2 ' 3 ' <5' 5 ' 6 " •? " S" A

DAY

JAIM 1981

1 0 - t

8 -

6 -

1 ' g ' 3 ' 4 ' 5 ' e ' 9 ' 8 ' 9 'lO'l1-lZ'l3'^-a 16'n'l8'l8'2O'21.'02'G3'24'25'2G'M'28'2S'3O'31

DAY

MAR 1981

1

1 2 3 4 ' 5 ' 8 ' ? ' 8 ' 8 'LO'LL 12'13'14'15'16'1'9'18'-19'20'BL'22'23'2<'25'A'21'28^'30

DAY

APR 1981

TIME SERIES OF Hs

SoUIST NEARSHORE 2 X 3 UAUERIDER Fiq. 3.7

Hstd) HS(M)

CO •

31 cq'

GO

00

CO - a

m > JD CO X

O

JJ m CO

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m JJ

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^ 2 3'4'5'e'?'8'8

AUG 1980

TIME SERIES OF TE

SaUIST (MEARSHORE 2 WAUERIDER Fiq. 3.9

1'8'3'<'5'e"»'8'8 'es'Z6'2T28'S3'30

20

16

12-

8

0

SEP 1980

* - «• ^ •" " ' w « AW * & WW lo 1T io io cu iTi i£'s!3'24'&S'28'&9'28'S9'30'31

DAY

OCT 1980

m ' l' 2 ' 3 ' 4 ' 5 ' e DAY

IMOU 1980

201

16-

12-

8 -

4-

0 T TgTg , <"5"el%"8™8'no'« 2"yi4"-lS'18'lVl8'M DAY

DEC 1980

TIME SERIES OF TE

SaUIST NEARSHORE 2 WAUERIDER Fin A in

20 n

16-

12-

8 -

2 0 - 1

0 'I'z'a' i's' 8°

DAT

JA!M 1981

8 w f-

* 8 10'll'12'l3''14'l5''16'l'?'l8''I8'80'2l'28'83'24'e!5'8e'21'88'29'30'31

DAT

HAR 1981

•i'a'3'4'a'8"»'8'9 'lo'n'-ffl'-ra'-K'ns'ie'WiB'ns'Bo'M'BE'sa'WEs'Ee'CT'Bs'BS'ao

APR 1981

TIME SERIES OF TE

SoUIST NEARSHORE 2 X 3 UJAUERIDER Fia. 3.11

TE(SEC) TECSEC)

CO D

d

CO — 3

m > 3 0

CO

31

CQ'

CO

N)

o

I D m CO

>

m I D

o

m JJ

— 3

m CO m

J3

m

CO

o

'—3 m

<_

1- C£) 00 hA

> c Q

hA W CO hA 4

Te(sec)

00 PO I

Ml G)

—J 8 I

Te(sec)

hA CD 00 hA

I

J

ScUIST DEEPWATER/OFFSHORE COMPARISON

POWER KW/M

150,

^00, QC

< 13 CL LU LU O

50,

0,

150o

OFFSHORE

AUGUST 11980

SLOPE =1o282

I N T E R C E P T ^ O n 4 6

STANDARD ERROR =5n480

Fig. 4.1

SnUIST DEEPWATER/OFFSHORE COMPARISON

POWER KW/M

200

cc L±J F-<c 3 Q_ LU LU D

100

O F F S H O R E

S E P T E M B E R 1 9 8 0

SLOPE =in381

I N T E R C E P T = - 4 N L L

STANDARD ERROR =9n54^

Fig. 4.2

SOUIST D E E P I A I A T E R / O F F S H O R E COMPARISON

POIA IER KIA I/H

200.

a: LU F-C 3 a. LU LiJ Q

100,

0.

lOOn

O F F S H O R E

JANUARY 1981

SLOPE =lall5

INTERCEPT =2o62

STANDARD ERROR =15.226

Fig. 4.3

SoUIST DEEPWATER/OFFSHORE COHPARISON

POWER Kkl/H

400.

300 Q — r

QC LL I

E -<C

P: 2 0 0 , L U LL I

Q

1 0 0 o — r

0, I I I I /I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I ] I I I

0. 100, 2 0 0 a 3 0 0 p 400,

OFFSHORE

FEBRUARY 1981

SLOPE =3.002

INTERCEPT


Fig. 4.4

ScUIST DEEPWATER/OFFSHORE COHPARISOIM

POWER KW/M

1 5 0 a

100 or UJ i-c 3 Q_ 1x1 UJ Q

150 a

O F F S H O R E

MAT 1981

SLOPE =lo298

INTERCEPT =0n34

S T A N D A R D E R R O R =3o325

Fig. 4.5

SoUrST DEEPUIATER/OFFSHORE COMPARISON

POWER KW/M

150

lOOo — D C

LU E -<

3 CL LLI

LiJ Q

150.

OFFSHORE

JUNE 1981

SLOPE =1o131

INTERCEPT =1.45

STANDARD ERROR =3=086

Fig. 4.6

SnUIST DEEPWATER/OFFSHORE COMPARISON

POWER KW/M

150 a

100. cc L U E— <

a. LiJ LL) Q

50,

0,

150,

OFFSHORE

JULY 1981

SLOPE =lol28

INTERCEPT =0o30

STANDARD ERROR =2o409

Fig. 4.7

SoUIST DEEPIAIATER/OFFSHORE COMPARISON

POWER KUi/M

150. — r

100, az LU E-<

3 CL LU LU Q

50 o —r

0,

lOOo 150,

OFFSHORE

AUGUST 1981

SLOPE =lo331

INTERCEPT =-'2nll

STANDARD ERROR =3n361

Fig. 4.8

"150 a I

lOOo - -CO

UJ oc o X CO

SoUIST INSHORE 3/OFFSHORE COMPARISON

POWER KW/M

150.

OFFSHORE

APRIL 1981

SLOPE =0n661

INTERCEPT =4=35


Fig. 5.1

150

100 n — CO

LU cc o X (fi

50 D —r


POWER KW/il

150.

OFFSHORE

HAT 1981

SLOPE =0.911.

INTERCEPT =-0.61


Fig. 5.2

SaUIST INSHORE 3/OFFSHORE COMPARISON

POWER KIAI/M

1'50a —r

lOO D —

CO

LU DC O X

50 • —

0.

150.

OFFSHORE

JUNE 1981

SLOPE.=0o138

INTERCEPT- =-0p25

STANDARD ERROR =3 n 02.1

Fig. 5.3


POWER KUl/H

150.

-100, CO

LU cc o X CO

50.

0,

150.

OFFSHORE

JULY 1981

SLOPE =0o894

INTERCEPT =-0oG0

STANDARD ERROR =2^111.

Fig. 5.4


POWER KW/.M

150 n —r

100 CO

LU DC o X CO

OFFSHORE

AUGUST 1381

150,

SLOPE =0o801

INTERCEPT =Ooll.

STANDARD ERROR =3=661

Fig. 5.5

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