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r.'IIr.I

lIiIiiI

us

Army Corps

of Engineers

Waterways Experiment

Station

Technical Report REMR-HY-9 December 1993

Repair, Evaluation, Maintenance, and Rehabilitation Research Program

Design Criteria for Lateral Dikes in Estuaries

by

R. C. Berger, M.

P.

Alexander

Hydraulics Laboratory

(2)

The following two letters used as part of the number designating technical reports of research published under the Repair. Evaluation, Maintenance, and Rehabilitation (REMR) Research Program identify the problem area under which the report was prepared:

Problem Area Problem Area

CS GT HY CO

Concrete and Steel Structures Geotechnical Hydraulics Coastal EM EI OM

Electrical and Mechanical Environmental Impacts Operations Management

The contents of this report are not to be used for advertising, publication, or promotional purposes. Citation of trade names does not constitute an official endorsement or approval of the use of such commercial products.

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Repair, Evaluation, Maintenance, and Rehabilitation Research Program

Technical Report REMR-HY-9 December 1993

Design Criteria for Lateral Dikes in Estuaries

by R. C.Berger,M.

P.

Alexander Hydraulics Laboratory

U.S. Army Corps of Engineers Waterways Experiment Station 3909 Halls Ferry Road

Vicksburg,MS 39180-6199

Final report

Approved tor public release; distributionis unlimited

Preparedtor U.S. Army Corps of Engineers Washington, DC 20314-1000

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US Army Corps of Engineers Waterways Experiment Station N , t IIAIN ENTRANCE COASTALENGINEERING RESEARQiCENTER

FOANFORMATlON CONTACT:

PUBUC AFFAIRS OFACE U.S.ARMY ENGINEER

WATERWAYS EXPERIMENT STATION 3909 HALLS FERRY ROAD VICKSBURG, MISSISSIPPI391~199 PHONE: (601)634-2502

...

500m

AREA OFRESERVATlON• 2.7sq km

Waterways Experiment Station Cataloging-in-Publication Data Berger,Rutherford C.

Design criteria tor lateral dikes in estuaries / by RC. Berger,M.P. Alexander; prepared tor U.S.Army Corps ot Engineers.

37 p. : ill. ; 28 cm. - (Technicalreport; REMR-HY-9)

Includes bibliographical references.

1. Dikes (Engineering) - Design and construction. 2.Hydraulic en gi-neering. 3.Embankments. 4. Channels (Hydraulic engineering)

I. Alexander,Michael P. 11.United States.Army.Corps of Engineers. 111.U.S.Army EngineerWaterways Experiment Station. IV. Repair,Eva l-uation,Maintenance,and Rehabilitation Research Program. V.Title. VI. Series:Technical report (U.S. Army Engineer Waterways Experiment

Station);REMR-HY-9. TA7 W34 nO.REMR-HY-9

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PREFACE

The work described in this report was authorized by Headquarters, US Army Corps of Engineers (HQUSACE), as part of the Hydrau1ics Prob1em Area of the Repair, Eva1uation, Maintenance, and Rehabi1itation (REMR) Research Program. The work was performed during the period October 1987 - September 1988 under Work Unit 32655, "Estuarine Channe1 Maintenance by Training Struc-tures," for which Mr. R. C. Berger, Hydrau1ics Laboratory (HL), US Army Engi-neer Waterways Experiment Station (WES) , was Principa1 lnvestigator. Mr. Dave Wingerd (CECW-EH) was the REMR Technica1 Monitor for this work.

The information in this report was a1so sponsored by the former lmprove-ment of Operations and Maintenance Techniques (lOMT) research program, Work Unit 32350, "Estuarine Channe1 Maintenance by Training Structures," sponsored by HQUSACE.

The REMR Directorate of Research and Deve10pment Coordinator in HQUSACE was Mr. Wi11iam N. Rushing (CERD-C), and members of the REMR Overview

Committee were Mr. James E. Crews (CECW-O), Chairman, and Dr. Tony C. Liu (CECW-EG). The REMR Program Manager was Mr. William F. McC1eese (CEWES-SC-A), and the Prob1em Area Leader was Mr. G1enn A. Pickering, Chief, Hydrau1ic

Structures Division, HL. Mr. Robert F. Athow, Estuaries Division, HL, was lOMT Program Manager.

This report was written by Messrs. R. C. Berger and M. P. Alexander, both of the Estuaries Division, under the supervision of Messrs. Frank A. Herrmann, Jr., Chief, HL; Richard A. Sager, Assistant Chief, HL; Wi11iam H. McAna11y, Jr., Chief, Estuaries Division; and Messrs. Robert F. Athow and Wi11iam F. McC1eese, lOMT and REMR Program Managers, respective1y.

At the time of pub1ication of this report, Director of WES was Dr. Robert W. Wha1in. Commander was COL Bruce K. Howard, EN.

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CONTENTS

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PREFACE

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CONVERSION FACTORS, NON-SI TO SI (METRIC)

UNITS OF MEASUREMENT

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PART I

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INTRODUCTION

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Background

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Purpose.

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Scope

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PART II

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DESCRIPTION OF TESTING....

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PART

111:

DESIGN GUIDANCE FROK SERIES I TESTS.

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Dike Spacing Design Equations

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Spacing Design Framework....

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Sample App1ication of Spacing Framework

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PART IV:

ANGLED AND OPPOSING DIKE PLAN EVALUATIONS

FROM THE SERIES II TESTS

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Ang1ed Dike Plans.

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Opposing Dike P1ans.

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PART V:

CONCLUSIONS AND RECOMMENDATIONS.

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Conc1usions...

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Recommendations

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APPENDIX A:

VELOCITY AND WATER LEVEL CHANGE DATA.

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LIST OF FlGURES

1 2 3 4 5 6 7 8

Impermeab1e dike schematic

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Series I plan test configurations

.

Series

11

plan test configurations

.

Surface current patterns from the Series I tests

.

Tota1

k

versus number of dikes

.

Energy 10ss per dike versus spacing ratio

S

.

Example estuary with proposed dike fie1d

.

Energy loss per d

i

ke versus spacing

wi

th Series

11

test

points

.

Flow stream1ines with angled and perpend

i

cu1ar dike

orientations

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9 2 ~ 4 9

10

13

14

15

16

19

20

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CONVERS ION FACTORS, NON-SI TO SI (METRIC) UNITS OF MEASUREMENT

Non-SI units of measurement used in this report can be converted to SI (metric) units as fo11ows:

Mu1tip1y

By

To Obtain cubic feet degrees (ang1e) feet 0.02831685 0.01745329 0.3048 cubic metres radians metres

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DESIGN CRITERIA FOR LATERAL DIKES IN ESTUARIES

PART I: INTRODUCTION

Background

1. Dikes have long been used as flow training structures in US water-ways. Figure 1 shows a cross section and plan view of a typical impermeable stone dike. Dikes can be designed for various purposes, including bank stabi-lization, material confinement, and navigation maintenance. Designing dikes for the purpose of navigation maintenance is addressed in this report. Design procedures and considerations were developed for estuarine channels in

particular.

UPSTREAM SIOE OOWNSTREAM SIOE

/tPPROX. SWPE 1ON 1-1/4 BiJT NOT TO EXCEED 1ON

~----/' /'

CONSTRUCT TO PEAK OR TO SUCH CROHN WIDTH AS SPECIFIED

TYPICAL SECTION

BANK PAVING OR STONE ROOT

_~XT~NDE_D

'~= _

STONE FILL

PLANE

TYPICAL PROFILE

Figure 1. Impermeable dike schematic

GROUNDUNE

2. Maintenance dredging at regular intervals is common practice in most navigation projects. However, some channe1 reaches are self-maintaining in

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that sediment supplied to these reaches can be transported through the re ach by natural current velocities. Self-maintenance can be effected in an aggrad

-ing channel reach by reducing the cross-sectional area with lateral dikes, thereby increasing the flow velocity in that channel section.

3. Dike length can be based, with a great deal of confidence, on the

length of existing dikes in reaches that are experiencing little or no

maintenance dredging. There are currently no analytical procedures for

designing the amount of contraction. A logical guideline from early riverine

works was to examine the channel in question and ascertain width and

cross-sectional area from self-maintaining reaches. Then, these values could be

used to determine the amount of contraction for any aggrading section of

chan-nel within the same hydraulic regime.* A rule of thumb from past projects

has been to design dike lengths conservatively and allow for further constri

c-tion later, if required. The goal is to maintain the channel without causing

rapid eros ion of the opposite bank or velocities that are too high for

naviga-tion. General design cautions are as follows:

ä. Too little contract ion will not affect maintenance. However, the presence of the structure might stabilize bank eros ion and channel alignment, indirectly reducing project maintenance.

Q

.

Too much contract ion can divert flow to other channels or direc-tions, causing insufficient transport velocities and aggradation problems. If flow is contained, velocities may be too high,

inducing local scour and subsequent deposition downstream. Velocities mayalso be too high for safe navigation.

4. When the amount of constriction has been estimated, other design parameters such as spacing and dike field energy loss significantly affect the resulting channel velocity. In an estuary, the velocity attained in a con-stricted reach is more difficult to estimate than in a riverine environment. In rivers, a steady-state ratio of the discharge before constriction divided by the newly constricted area yields a reasonably accurate estimate of

veloc-ity. In a tidal environment, the flow is unsteady. The discharge rises grad-ually to a peak, slows, and then reverses. The magnitudes and durations of

the flood and ebb are dependent upon hydrology, astronomical tides,

* G. B. Fenwick, ed. 1969. "State of Knowledge of Channel Stabilization in Major Alluvial Rivers," Technical Report No. 7, prepared for US Army Corps of Engineers Committee on Channel Stabilization by US Army Engineer Water-ways Experiment Station, Vicksburg, MS.

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wind-induced tides, and the geometry of the estuary. To predict the impact of a dike field on the flow, numerical modeling is usually required, which, in turn, of ten requires an estimate of the energy losses due to the dikes. An aggrading channel section normally requires a series of lateral dikes, and dike spacing becomes a major design consideration.

5. Dike length can be adjusted in the field more easily and more cost effectively than spacing. Rule-of-thumb dike spacing practices developed for river stabilization projects over the years have been carried over into chan-nel contraction works. Stone or pile dikes were spaced from 1 to 2 or more times the length of the next upstream dike.* Most spacing ratios were . devel-oped for a particular waterway and are not verified elsewhere. The most dif-ficult problem in dike design is determining spacing. If spacing can be prop-erly determined at an early stage in the design, the designer can more readily determine the most cost-effective system. General design cautions for spacing are as follows:

~. If spacing is too close, the additional dikes will result in an over-designed, more costly control system. Conservative spacing practice will not by itself hinder project performance. How-ever, minimizing the number of dikes constructed with optimum dike field performance is an important economic decision.

Q

.

If the spacing is too far apart, control of the channel width

between the dikes will not be possible without as much or more

predike construction maintenance dredging. Constructing

addi-tional dikes in between too widely spaced dikes can achieve channel width control, but this would be an expensive corrective measure.

6. The research reported here in investigated relationships between some

of the dike design variables. The subject work resulted in a framework that

relates a selected dike spacing and number of dikes to energy losses. The

dike spacings resulting in the lowest energy losses were those observed with

the most uniform flow fields. Poorer spacing arrangements resulted in flow

fields containing more energy captured in rotating flow. Therefore, minimal

energy losses can indicate the most efficient and effective dike spacings.

This research also resulted in a degree of dike field arrangement and

orienta-tion insight. The spacing framework was developed for use with numerical

model evaluations for optimizing dike spacing. Dike field energy losses are

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a1so used to produce a reasonab1e estimate of postproject channe1 velocity and water level.

Purpose

7. The primary purpose of this report is to present lateral dike spac-ing des~gn steps for use within the overall dike planning and design process. Guide1ines were based on laboratory data and app1y to lateral dikes con-structed for navigation maintenance, particu1ar1y in estuaries. Secondary analyses eva1uated dikes on both sides of a test channe1 section. Fina11y, plans with ang1ed entrance dikes were inc1uded as a possib1e means of a110wing a smoother flow transition through the dike field.

8. The remainder of this report is divided into four parts. The laboratory tests are described in Part 11. Dike spacing design guidance was deve10ped and presented in Part 111, and Part IV describes ang1ed and opposing dike test eva1uations. Fina11y, Part V summarizes this research and

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PART 11: DESCRIPTION OF TESTING

9. Two series of tests were completed during this study. Series I plan tests (Figure 2) were designed to investigate the effects of velocity and head loss over a range of dike spacing to dike length ratios. Series 11 tests

(Figure 3) were designed to investigate flow field reaction to opposing dikes.

Various configurations of opposing dikes were tested. Series 11 tests also

evaluated using angled dikes at the beginning of a dike field to reduce energy

loss and provide a smoother flow field transition. Angled dikes were included

at both ends of the test section since flow reversals occur in estuaries. Plan ratios, S (dike spacingjdike length), were as follows:

Dike SpacingjDike Length Ratios Series I lA* lB IC lD IE 12.5 5 2.5 l.25 Series II S, SpacingjLength Plan Ratio lCA 5 lCB·· 2.5 lCC'" 2.5 lCDt 5 lCE··'t 2.5 S, SpacingjLength Ratio

* Single dike test

Opposing dike plan

Includes angled entrance dikes **

10. Each plan was tested in the flume facility with three different

flow rates: 1.0, 2.0, and 3.6 cfs.* The test section was not patterned

after a particular prototype, but was designed to mirnicnatural conditions

with high Reynolds numbers and fully turbulent flow. Test section dimensions

are shown in Figures 2 and 3. All test dike lengths were 2 ft long. The

angled dikes were placed at 45 deg from the test section sidewall, and they

also extended a lateral distance of 2 ft into the flow. The dike lengthj

channel width ratio of liS was designed to avoid opposite-bank effects in the

flume test facility. Surface current patterns were studied, and dike-induced

* A table of factors for converting non-SI units of rneasurernentto SI

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50'

50' SPICING ·2.5 '

(14)

80'

-I·

79 ' PLAN lCA 50' SPICING ·2.5 ' PLAN lCE

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flow patterns did not reach the opposite side of the flume. Certain Series 11 plans, however, were designed to study the combined effects of opposing dikes.

11. A flume facility cannot duplicate the interaction of all variables

in a natural waterway. 'Water depths were not varied in the subject tests, and the fixed bed and walls did not allow bed form or sediment transport investi -gations. However, several important design parameters were related to develop a dike spacing framework within tidal waters. They included the following:

~. Flow patterns. Form and drag resistance compose the bulk of preconstruction energy losses. In the flume facility, losses due to bottom and side friction were subtracted prior to evalu -ating the dominant dike-induced energy losses. An indication of the eddy turbulence was observed from the surface current pat-terns. Surface current patterns were photographed for study using a bright flash and floating confetti.

Q

.

'Water level change. 'Water level change is a preconstruction .

condition in estuaries that will change with any significant flow modification such as dike construction. 'Water level changes were plotted and analyzed for each plan tested.

~. Channel velocity. Increasing channel velocities within a uni-form flow field is the desired effect for a channel constriction dike project. Normalized flume facility velocities along the test section center line and quarter-width points were plotted and analyzed.

12. The preceding design parameters were investigated for each plan and for each of the three flow rates. The water level change data and test chan-nel section velocities are described and included in Appendix A. A complete set of data for the subject flume tests can be found in Ashley and Brogdon.*

* John S. Ashley and N. J. Brogdon. "Lateral Dike Design Studies for Channel Maintenance: Data Summary and Presentation" (in preparation), US Army

(16)

PART 111: DESIGN GUIDANCE FROM SERIES I TESTS

13. Figure 4 shows the surface current patterns for each Series I plan. In the f1ume faci1ity, the higher spacing ratios allowed flow patterns to deve10p more pronounced turbu1ence between dikes, generally resu1ting in mu1tip1e-eddy formations. The eddy patterns for the smaller spacing ratios tested (2.5:1 and 1.25:1) appeared singular, and the shorter streak 1ines indicated 10wer rotationa1 ve10cities. As spacing ratios became 1arger, doub1e- and then mu1tip1e-eddy formations deve10ped, resu1ting in greater rotationa1 ve10cities and higher energy losses.

14. The sequence of dike spacing ratios in the Series I tests was suf-ficient to deve10p graphica1 re1ationships between energy 10ss and the plans tested. Most of the energy 10ss in the f1ume was a resu1t of the dike field form, and a high energy 10ss indicates a 1ess uniform flow field. A better flow distribution in which channe1 velocity maintains a uniform1y high level is indicated by a 10wer energy 10ss for a particu1ar dike spacing. Figure 5

re1ates the energy 10ss coefficient k to the number of dikes present. The spacing ratio S is a1so indicated in Figure 5. The figure refers to the tota1 k, or the energy 10ss coefficient for the entire dike field. The 1arger, mu1tip1e-eddy current patterns (Figure 4) resu1ted in the 1argest energy 10ss coefficients. A suggested optimum range of spacing ratios is shown in Figure 5. This spacing range corresponds to the energy 10ss coeffi-cients for the number of dikes between the spacing ratios of 2.5:1 and 5:1. Surface current patterns indicated uniform velocity flow fie1ds over this range of spacings. From Figure 5, a rapid decrease in energy 10ss was ob-served from the highest spacing ratios tested down to the 5:1 ratio. The more

confined, sing1e-eddy patterns resu1ted in the least energy 10ss. Energy 10ss

was minimized within the suggested range; and based on the subject tests, the

comparative1y sma11 decrease in energy 10ss obtained with spacing ratios 1ess than 2.5:1 wou1d not be feasib1e for prototype construction.

15. Reducing the area of an estuarine channe1 may change the tida1 range a10ng with any desired increase in veloeities. Designing lateral dikes for estuarine channe1s requires mode1ing each individua1 training works plan to determine resu1ting veloeities in conjunction with tides. Additiona1 con-siderations may inc1ude the effects of changing water levels and durations at respective levels.

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BASE· 3 PLAN lA . 3 -. .

-_ -- ...... _ r:

r:

_,..

r PLAN

IB . 3

. .

.

.~ """(~_ ".. . .I: .I" 7 - _/ - ~ PLAN IC - 3 ... ;" ,,-~..~,'" . --~ z, ~, 1 ~ ,_ " -: .. ,~,é. - l / ~t PLAN 10 - 3 PLAN 1E - 3

-• • ...3:!' • .~ ~- ~. ~-

-

~--,... _---• 1 I cl 'I -~. -I . -;

'J

·,t, .Ó-• 1 I I 11' t "... : r!. f p' ~ I. ,': ~f SCALES 1 0

5

o

5

•••

(18)

5r---~---~---~

I-Z w Ü 4 u: u.

8

(/J (/J

9

3 >

s

w z !:!:! .Je ;i. 2 l-Q

I-OPTIMUM SPACING RANGE

S:2.5 S:1.25

S:OC

1L---_.---~---~

o

10 20 30 NUM8ER OF DIKES

Figure 5. Tota1 k versus number of dikes

Dike Spacing Design Eguations

16. Figure 6 is a smooth exponentia1 curve of k versus dike spacing ratio S. Equation 1 plots the curve shown in Figure 6:

k(s) - 0.0095(S)1.5509 (1)

where k(s) is the energy 10ss associated with a given spacing ratio. The tota1 energy 10ss for the entire dike field can be derived from Equation 1 and the fo110wing type of equation for an estuarine situation:

kT = 1.5 + k(s)(No. of dikes - 1) (2)

where kT is the tota1 energy 10ss.

17. The use of Equation 1 requires a prese1ected spacing ratio. The guidance in this report has defined feasib1e ratios between 5:1 and 2.5:1.

The upper limit of 5:1 can prevent excessive energy 10ss and associated

nonuniform ve10cities through the dike field. C10ser spacing than 2.5:1 pro-vides 1itt1e benefit in terms of energy 10ss, and shou1d generally be avoided in terms of excessive construction. The guidance presented herein targets an optimum dike spacing range and graphica11y displays the spacing and energy

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w ~

o

u, 4e-1 o (IJ (IJ w

~ Je

w

-

'

~ le-1 K=0.0095 S1.55t1) w ~ 2e-1 a: w a. ~

o ~

L- ~ L- ~ ~ ~ ~ ~

o

2 4 6 8 10 12 14 16

SPACING RATIO,S IDIKE SPACINGIDIKE LENGTHI

Figure 6. Energy 10ss per dike versus spacing ratio S

10ss re1ationship, but still leaves a wide margin of spacings that must be

refined by the designer for a given site.

Spacing Design Frarnework

18. To use the totalloss equation for designing estuarine dike field

spacing, fo110w these steps:

~. Estimate the necessary velocity history required to maintain the

channel. This velocity should be equivalent to any

se1f-maintaining reach within the project or be designed to exceed the shoa1ing sediment transport threshold.

Q

.

Choose a dike spacing ratio between 2.5 and 5 (Figure 5). (This

step is based on existing dike fields, designer experience, or

judgment.)

Q. Estimate the dike length sufficient to reduce the channel area

and provide the velocity selected in step ~.

Q.

Determine the number of dikes and adjusted spacing: multiply

the spacing ratio (step

Q)

by dike 1ength (step Q) to determine

the actua1 spacing. Then divide project reach length by the

spacing and add 1 dike to determine the number of dikes

re-quired. Unless an even value is obtained, round off to the

nearest whole dike value and adjust spacing accordingly. Note:

Do not adjust spacing outside of the suggested range of 5:1-2.5:1.

~. Calculate the value of k per dike for this spacing from

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1.

Calculate the total energy loss coefficient kT for the dike field from Equation 2.

g. Run a one-dimensional unsteady flow model over an appropriate time (tidal cycles) using the coefficient kT as an expansion or contraction energy loss coefficient (see following section). h. Compare the model results from step g with the required veloci-ties from step~. If results are inadequate, modify length and repeat steps g through huntil the necessary veloeities are obtained.

Sample Application of Spacin& Framework

19. Suppose a problem shoaling reach has been identified at the estuary shown in Figure 7, and a dike field was proposed as a mitigation measure.

---+-

t-'----ir--

8

I

2

I

--+-)-

3--t-- C / LIMIT OF TIDAL PROPAGATION

PROPOSED JOOO-FT DIKE FIELD OIER W/DE,FREQUENTLY SHOALED REG/ON CROSS SECTION A, D CROSS SECTION 8, C REOOCED AREA ~ WfTH 200-FT DIKE -t---D OCEAN

Figure 7. Example estuary with proposed dike field

Outside of the troublesome 3,OOO-ft region shown, channel veloeities were determined sufficient to maintain the channel (Step ~). An initial spacing

(21)

ratio of 3.75 was selected from the optimum range (Step

Q)

.

In order to con-strict the cross-sectional area in the problem reach to that of the naturally maintained channel sections, a dike length of 200 ft is necessary (Step ~). The dike length-results in an actual spacing of 750 ft, and five dikes are required for the 3,000-ft reach (Step

g).

Using Equation 1 to calculate k(s):

k(s) 0.0095(3.75)1.5509= 0.0738 (Step ~)

and from Equation 2:

km - 1.5

+

0.0738(4) - 1.8 (Step f)

20. Using the design outline with a specific one-dimensional numerical model (Step g) requires a knowledge of how structures are accounted for in the code. Model documentation should be reviewed for this information. The model must extend between known boundary conditions to be accurate for all condi-tions tested. Typical boundary conditions for this case would be from the ocean to the limit of tidal propagation. A base model run should be completed prior to structure evaluation. The base run should cover at least 1-1/2 tidal cycles so that the first half tidal cycle can be discarded considering neces-sary adjustments during this time. Most one-dimensional codes such as

DWOPER* use expansion and contraction coefficients. The design value kT can be used directly as a contraction or expansion coefficient. The one-dimensional model UNET** requires input of a parameter

<

instead of contrac-tion and expansion coefficients. These two numerical models are discussed in the following sections as they apply to the estuarine dike field evaluation such as shown in Figure 7.

21. For the example estuary and proposed dike field shown in Figure 7, the cross-sectional area narrows according to the dike length at section B. As flow moves past sections 1 and 3, the flow field contracts and enlarges according to its tidally influenced direction. In codes such as DWOPER,

* D.

L.

Fread. 1978. "NWS Operational Dynamic Wave Model, Verification of Mathematical and Physical Models," Proceedings of 26th Annual Hydraulics

Division Specialty Conference, ASCE, College Park, MD, pp 455-464.

**

R

.

L

.

Barkau. 1991 (May). "UNET: One-Dimensional Unsteady Flow Through a Full Network of Open Channels; User's Manual," Prepared for US Army Engineer Hydrologic Engineering Center, Davis, CA.

(22)

expansion and contraction coefficients would be applied at these sections.

These coefficients are based on a change in flow velocity between sections. Using k(Tl from Equation 2, areasonabIe approximation would be to use 1/2k(Tl in sections land 3 50 that the total losses would equal the sum of

k(T> .

22. The UNET

<

is based on the velocity in a single segment of flow.

To calculate

<

equivalent to kCTl for use with the design framework, the

cross-sectional area outside the proposed dike field must be related to the numerically represented dike field cross-sectional area:

(4)

where

Ab cross-sectional area at section B

Aa existing cross-sectional area outside of the dike field

Then substitute

<

in segment 2 to evaluate the dike field.

23. Model results should then be compared with the desired veloeities

(Step

h).

Within the given range of spacings suggested in this report

(5:1-2.5:1), spacing adjustment a10ne wi11 not significant1y affect model resu1ts. Therefore dike length should be adjusted (Step ~) and the design procedure

should be repeated until the required veloeities are obtained. Step g allows

the adjustment of spacing within the optimum range. If increasing or

decreas-ing dike 1ength is necessary durdecreas-ing the design process, the adjusted spacdecreas-ing

in Step g will a1so increase or decrease, respectively. It is important to

note that if the adjusted spacing exceeds 5:1 or falls below 2.5:1, then these

limits should be used as maximum and minimum spacing ratios, regardless of the

(23)

PART IV: ANGLED AND OPPOSING DnCE PLAN EVALUATIONS FROM THE SERIES 11 TESTS

24. The Series 11 test plans were designed to investigate flow field

and energy loss variations by comparison to previously tested plans with the

same spacing ratio. Energy loss for the Series 11 plans was evaluated using

Figure 8, which replots the energy coefficient versus spacing ratio curve

presented in Figure 6 and includes data points for the Series 11 tests. Flow

field evaluations were based on surface current patterns.

0.17

0.20 w

:11::

Ö

~ 0.25 SERIES TI DATA POINTS (I) (I) ~ 0.33 PLAN1CC w

-y

PlANICB ~ w SERIES I TEST :11:: 0.50 Ö /PlAII'CE a: w a. .Je 1.00

o ~~----~---~--~~~---~---~----~~---~----~

o

2 4 6 8 10 12 14 16

SPACING RATIO S IDIKE SPACINGIDIKELENGTHI

Figure 8. Energy loss per dike versus spacing with

Series 11 test points

Angled Dike Plans

25. Figure 9 shows the current patterns around a perpendicular and an

angled entrance dike in the test facility. All plans with perpendicular

entrance dikes created an abrupt change in flow field as shown in Figure 9a.

Figure 9b shows a smoother transition as a result of using an angled entrance

dike in the test facility. A direct evaluation of energy loss ean be obtained

from Figure 8 by comparing the Plan lCD energy loss eoeffieient with the

(24)

a. Perpendicular entrance dike

b. 45-deg entrance dike

Figure 9. Flow streamlines with angled and perpendicular dike orientations

(25)

the energy loss data point for Plan Ie, with the only difference being angled entrance dikes. The angled entrance dikes provided a smoother transition into the dike field that resulted in a smaller overall dike field energy loss. A perpendicular, but shorter entrance dike might also produce a smooth and

energy-efficient transition into the dike field. A shorter dike would be more cost effective for a prototype construction.

Opposing Dike Plans

26. An energy loss reduction is also seen in Figure 8 between the two Series 11 Plan leB and leE opposing dike plan data points. Again, with the only plan difference being the angled entrance dikes, the angled plan energy loss coefficient data point (leE) plots weIl below the perpendicular entrance dike plan.

27. Opposing dikes directly opposite each other (Plan leB) and alter-nating opposing dikes (Plan lee) were evaluated. Figure 8 shows a smaller energy 10ss coefficient for Plan leB, indicating that a more efficient (in terms of energy loss) opposing dike field can be constructed with dikes directly across fr om each other.

(26)

PART V: CONCLUSIONS AND RECOMMENDATIONS

Conclusions

28. Inadequate spacing can cause one of the most costly design

modifi-cations that may become necessary during and af ter channel

maintenance-oriented dike project construction. The amount of constriction (dike length)

controls the magnitude of velocity, but spacing controls the velocity flow

field through a project reach. As shown in Figure 4 (and more extensively in

Ashley and Brogdon*), the plans having the highest spacing ratios and greater

energy losses also resulted in flow patterns that wove in and out around the

dikes. This flow pattern caused higher velocities at certain points and

slower velocities at other points along the model project reach. In a

proto-type, this situation can result in scour and deposition patterns within a

project reach as the flow seeks equilibrium. The dike spacing design equation

presented in paragraph 16 and the spacing design procedure presented in

para-graph 18 provide the basis for an efficient design for channel maintenance.

Recommendations

29. Channel constriction projects should result in a higher but uniform

velocity flow field through the project reach. Engineering judgment, designer

experience, and model evaluations are all important design tools. Numerical

model evaluations, in accordance with the design steps in this report, are

recommended for lateral dike spacing designs in estuarine or other applicable

channels. Based on the subject data and testing limitations discussed, the

dike length/channel width ratio (1/5) should be comparable to project

condi-tions when applying the design steps.

30. Above- and below-project water level changes and/or changes in

duration of water levels may result from the energy loss associated with dike

fields. Investigating these effects is necessary to evaluate material

deposition and other effects outside the project area. These situations

should be considered during the design process so that they can be included

within the overall maintenance plan.

(27)

31. A1though 1imitations are.associated with applying f1ume analyses to

a prototype, much can be 1earned from continued dike plan eva1uations in a

contro1led testing environment. Future dike plan tests should include the

following:

~. Entrance dikes that are shorter but perpendicular, as opposed to

angled entrance dikes. Similar energy loss and flow transition

may be realized at significant construction savings.

Q.

Varying the ratio of dike length to channel width. This would clarify the point at which opposite bank effects can occur. ~. Evaluating submerged dike fields.

(28)

APPENDIX A: VELOCITY AND WATER LEVEL CHANGE DATA

This appendix contains the center-line test section velocity plots and

water level change data as follows:

~. Figures Al-A3: Normalized center-line velocity plots for the

Series I tests.

Q

.

Figures A4-A6: Water level change plots for the Series I tests.

~. Figures A7-A9: Normalized center-line velocity plots for the

Series 11 tests.

g

.

Figures A10-A12: Water level change plots for the Series 11

(29)

LEGEND • • BASE • • PLAN 1A • • PLAN 1B ~ PLAN 1C G---El PLAN 10 A---ll PLAN 1E >- I-[j o __J w >

8

1.50 N ~ ~ Q: o Z -20

o

LENGTH ALONG FLUME, FT

20

Figure Al. Center-line velocity plots for the Series I tests, 1 cfs 40

(30)

2.50r---ïr----~---~----_r----~---~----_.----~ 2.00

LEGEND

• • BASE • • PL.AN 1A • ... PL.AN 1B G----E> PL.AN 1C G--e PL.AN 10 A----A PL.AN 1E >- t-B o _J w >

El

1.50 N ~ ::::!! 0::: o Z 0.50~----~----~~----~--~-L----~---~----~----~ -40 -20

o

LENGTH ALONG FLUME, FT

20 40

(31)

2.50r---r---~----_r---~----~---~----~----~ >- I-B o ....J W >

e

1.50 N ~ ~ a:::: o z 2.00 1.00 LEGEND • • BASE • .' PLAN 1A ... ... PLAN 1B PLAN 1C G---¬ IIPLAN 10 ~ PLAN 1E 0.50~----~---~---L----~~----~---~----~----~ -40 -20

o

LENGTH ALONG FLUME, FT

40 20

(32)

0.20r---,---r---,---r---~---_, I-LL.. ':' 0 ~ -0.40 W (!) ~ -0.60 J: u ...J -0.80 LIJ > LIJ ...J -1.00 (t: LIJ l--c -1.20 3: -1.40 -1.60 -75

LEGEND

• • 8ASE • • PLMI IA ...PLMI 18 G--E> PLMI IC G---¬ JJPLMI 10 br----ll PLMI IE -50 -25 0, 25

LENGTH ,6LONG FLUt.tE. FT

Figure A4. Water level change for the Series I tests, 1 cfs

50 75 0.001r---~---,_---r_---_r---,_---_.

o

-0.001 t-I.&.. W -0.002 Cl ~

iJ

-0.003 ...J LIJ ~ -0.004 ...J

f5

-0.005 ~ 3: -0.006 -0.007

LEGEND

• • BASE • • PLAN 1A .. .t. PLAN 18 G---E> PLAN 1C l3----¬ JJPLAN 10 A----A PLAN 1E -0.008~---~~---~---L---~---~---~ -75 -50 -25

o

25 50

Figure A5. Water level change for the Series I tests, 2 cfs

LENGTH ,6LONG FLUt.tE, FT

(33)

0.01.---~---~---_r---~---~---~ I-LL.. -0.01 w l' ~ -0.02 u ....J W ~ -0.03 ....J a::: w !;( -0.04 ~ -0.05

o

-0.06~---~---~---~---~---~---~ -75 -50

LEGEND

• • BASE • • PL.AN lCA • ... PL.AN lCB PL.AN lCC G--El PL.AN lCD A---Il. PL.AN lCE

-25

o

25 50

LENGTH ALONG FLUME. FT

Figure A6. Water level change for the Series I tests, 3.6 cfs

(34)

2.50r---ïl---,---.---r---.---~----~----~ LEGEND • • BASE • • PL,6N lCA .Ar "PL,6N lCB G----¬ >>PL,6N lCC G---EI PL,6N lCD A---,A PL,6N lCE 1.00 2.00 >- f-U o _J w >

8

1.50 N ~ ~ 0:: o Z 0.50~----~----~~----~---__J---~----~ -40 -20 0

LENGTH ALONG FLUME, FT

20 40

(35)

2.00 >- t-U o __J w >

El

1.50 N ~ ::;::!; c::: o z LEGEND • • BASE • • PLAN 1CA '" ... PLAN 1CB PLAN 1CC G----¬ llPLAN 1CO A---A PLAN 1CE

0.50~----~----~~----~----~~----__J_----~---__J_----~

-40 -20

o

LENGTH ALONG FLUME, FT

20 40

(36)

----..

LEGEND

2.50

BASE

PLAN 1CA

..

...

PLAN 1CB PLAN 1CC G----el PLAN 1CO A----A PLAN 1CE

2.00 >- I-U o _J w >

8

1.50 N ~ ::::!: 0::: o Z 0.50~----~----__J---~---L-- __~L- ~ ~ ~ -40 -20

o

LENGTH ALONG FLUME. FT

20 40

(37)

0.001r---~---._---r_---~---~---~

o

~ -0.001 u, LIJ ~ -0.002 J: u LLl -0.003 > LIJ _J a::: -0.004 LIJ ~ 3: -0.005 -0.006 -0.007.__ -L.. .L...- -L.. .L...- ~ __J -75

LEGEND

• • BASE • • PLAN lCA A PLAN lCB

e---e

PLAN lCC a----EI PLAN lCD A---I:l PL AN lCE -50 -25 0 25

LENGTH ALONG FLUME, FT

50

Figure AlO. Water level change for the Series 11 tests, 1 cfs 75 0.002r---~---.---.---~---.---~

o

-0.002 ~ "; -0.004 l.J.J (:J ~ -0.006 J: (.)

G1

-0.008 > l.J.J _J -0.010 ct: LIJ ~ -0.012 3: -0.014 -0.016 -0.018L-- --L. ....L.... l-. --L. ....L.... ___J -75

LEGEND

• • BASE • • PLAN 1CA A PLAN lCB

e---e

PLAN lCC a----EI PLAN 1CD

A---I:l PLAN lCE

-50 -25 0 25

LENGTH ALONG FLUME, FT

50

Figure All. Water level change for the Series 11 tests, 2 cfs 75

(38)

0.005r---~---~---r_---~---~---_. 0 ... LL. W -0.005 c ~ J: o ....J -0.010 UJ > UJ LEGEND ....J Ir -0.015

• BASE UJ ~

PLAN 1A 3:

...

Ä PLAN 18 PLAN 1C -0.020 l3----El PLAN 1D ~ PLAN 1E -0.025~---~---~---~---~---~---~ -75 -50 -25

o

25 50

LENGTH ALONG FLUME. FT

Figure A12. Water level change for the Series 11 tests, 3.6 cfs

A12

(39)

REPORT DOCUMENTATION

PAGE

Form ApprovedOMB No.0704-0188

Publicreportingburdenfor this collection ofinformationis estimatedto aYera9~1 hour per response.includingth~ tim~ for revi~in9 instructions.searchingexisting datasourees.

gatheringandmaintainingthedau needed.and completJng.neI r~I~lng thecollf!<tionofinformation_Send commentsr~ardin9 this burden estimateor .nyother a~ 01thi, colh,ction ofInformation.including >uggestiom for reduclng thi, burden.to Washington Headquarte" Services.oi,ectorate orInfo,matlon Operatio",.nd ReportS. 1215Jeffenon oa.is Highway.Suite1204.A'lington.VA22202-4302.andte theOffice of Management.nd Budget.Paperwork Reduction P,oject(0704-4188).Washington. oe20503. ,. AGENCY USE ONLY (Leave blank) 12. REPORT OA TE 13. REPORT TYPE AND DATES COVERED

December 1993 Final report

4. mLE AND SUBTITLE 5. FUNDING NUMBERS

Design Criteria for Lateral Dikes in Estuaries WU 32655

6. AUTHOR(S)

R. C. Berger

M

.

P. Alexander

7. PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES) B. PERFORMING ORGANIZATION REPORT NUMBER

USAE Waterways Experiment Station, Hydraulics Technical Report

Laboratory, 3909 Halls Ferry Road, Vicksburg, MS REMR-HY-9

39180-6199

9. SPONSORING I MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10.SPONSORING I MONITORING AGENCY REPORT NUMBER

US Army Corps of Engineers, Washington, DC 20314-1000

11.SUPPLEMENTARY NOTES

A report of the Hydraulics Problem Area of the Repair, Evaluation, Maintenance, and Rehabilitation (REMR) research program. Available from National Technical Information Service 5285 Port Roval Road Strr Lnaf Le Ld VA ??161

Ua. DISTRIBUTION I AVAILABILITY STATEMENT 12b. DISTRIBUTION CODE

Approved for public release; distribution is unllmited.

13. ABSTRACT (Maximum 200 words)

Guidellnes for lateral dike spacing were developed at the US Army Engi-neer Waterways Experiment Station. The guidance was based on laboratory flume analyses and applles to dikes designed for channel maintenance. Various dike plans were tested to develop energy loss versus dike length-to-spacing rela-tionships, and spacing guidelines are presented in the form of a design out-line. The testing program also included alternating dikes versus dikes posi-tioned directly across from each other in the flume channel test section and angled dike field entrance dikes as an energy loss reduction measure.

14. SUBJECT TERMS 15. NUMBER OF PAGES

Dike spacing Navigation maintenance 37

Estuaries Training structures 16. PRICE CODE

Lateral dikes

17. SECURITY CLASSIFICATION 18. SECURITY CLASSIFICATION 19. SECURITY CLASSIFICATION 20. LlMITATION OF ABSTRACT

OF REPORT OF TH IS PAGE OF ABSTRACT

UNCLASSIFIED UNCLASSIFIED

(40)
(41)

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