rte bookagdegbw

8/15/2019 RTe BookAgDegBW

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Welcome to the Excel Workbook "Fde-bookAgDegBW"

This workbook computes 1D bed variatio i rivers due to di!!ere

The sedimet is assumed to be ui!orm with si#e D

All sedimet trasport is assumed to occur i a speci!ied !ractio

A &aig-'trickler relatio is used !or bed resistace

A geeric &e%er-(eter &uller relatio is used !or sedimet trasp

The !low is computed usig a backwater !ormulatio !or graduall%

)alculatios are per!ormed !rom the worksheet ")alculator"

'ome auxiliar% parameters used i the calculatio are speci!ied i

The iitial coditio is speci!ied i terms o! a !loodwater dischargThese iput values are used to compute the sedimet trasport r

A di!!eret load ,t! ma% the be speci!ied at the upstream ed

der ambiet coditios$ the bed elevatio at the dowstream

the ambiet depth there

The user ma% raise or lower dowstream water sur!ace elevatio

There is o restrictio o how high the water sur!ace ca be rais

+ this program the water sur!ace elevatio ma% ot be lowered t

,uidace as to the lower boud o water sur!ace elevatio is giv

The characteristics o! the !ial graded state associated with a mo

The time evolutio to the ew state associated with chaged sedi

is computed b% clickig the butto "Do a )alculatio"$ wh

+ per!ormig this calculatio$ the !ollowig parameters must be s

5 / reach legth6

& / umber o! spatial itervals$ so that the spatial step legth /

dt / time step legth6

7toprit / umber o! time steps to a pritout6

7prit / umber o! pritouts i the calculatio

8esults o! the calculatio are give as data i worksheet "8esult

The !ormulatio is cotaied i worksheet "Formulatio"


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The code is cotaied i &odule 1 o! this workbook i the 9isual

the &acro$ the 9isual Basic Editor


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tial sedimet trasport

o! time durig which the river is i !lood$ speci!ied b% a itermittec%

ort

varied !low

the worksheet "Auxiliar% (arameters"

*!$ a grai si#e D$ a itermittec% +ter$ a bed slope ' ad a chael wi te ,t correspodig to a graded chael

d o! the reach is #ero$ ad the dowstream water sur!ace elevatio e.u

at time / 0 to create a backwater e!!ect

d

the poit that the out!low becomes Froude-critical or Froude-supercritical

i ")alculator"

di!ied !eed rate ador modi!ied dowstream water sur!ace elevatio is co

met !eed rate upstream ador chaged water sur!ace elevatio dowstr

ich executes the code i &odule 1 2see below3

peci!ied4

&6

o!)alc"$ ad as a plot i worksheet "(lottheData"


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Basic editor$ which ca be accessed b% clickig Tools$


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dth

ls

puted

eam


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7:TE

This workbook ad so!tware are provided !or !ree as part o! the e-book4

1D 'ED+&E7T T8A7'(:8T &:8(;:D


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8+9E8' A7D T8B+D+T< )88E7T'$


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)alculatio o! 8iver Bed Elevatio 9ariatio with Backwater )alculati

)alculatio o! ambiet river coditios 2be!ore imposed chage3

Assumed parameters

2*!3 * =00 m>?s Flood discharge

2+ter3 01 +termittec% The colo

2B3 B @0 m )hael Width idicate t

2D3 D 0@ mm ,rai 'i#e The rest

2lamp3 0= Bed (orosit%

2kc3 mm 8oughess ;eight

2'3 ' 0000C Bed 'lope

Computed parameters at ambient conditions

; ==@0@C m Flow depth 2at !lood3

000C1?= 'hields umber 2at !lood3

. @?0== Eistei umber 2at !lood3

0000?C m>Cs 9olume sedimet trasport rate per u

1EG0 tosa Ambiet aual sedimet trasport ra

)alculatio o! ultimate coditios imposed b% a modi!ied rate o! sedi

1EG0 tosa +mposed aual sedimet trasport r

0000?C m>Cs pstream imposed volume sedimet

000C1?= ltimate e.uilibrium 'hields umber 2

' 0000C ltimate slope to which the bed must

; ==@0@C m ltimate !low depth 2at !lood3

Specification of Imposed Downstream Water Surface Elevation

0CC@C11 +itial ormal Froude umber6 must b

0CC@C11 ltimate ormal Froude umber6 mus

1@=@C m )ritical depth

1@=@C m &iimum possible dowstream water

==@0@C m +itial dowstream water sur!ace elev

1 m

)alculatio o! time evolutio toward this ultimate state

5 0000 m legth o! reach

0000?C m>Cs sedimet !eed rate 2durig !loods3 at

dx ??EG0C m spatial step

+!

λp

kc

τ

.t

,t

,t!

.tτ

At t / 0 the iitial bed elevatio η / 0 The user imposes a water sur

Fr i

Fr u

;c

ξmi

ξiit

ξο +mposed water sur!ace elevatio 2mu

.tg


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dt 01 %ear time step

Duratio


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o

ed boxes4

he parameters %ou must speci!%

re computed !or %ou

it width 2at !lood3

te i tos per aum 2averaged over etire %ear3

et iput

te !ed i !rom upstream 2which must all be carried durig !loods3

rasport rate per uit width 2at !lood3

at !lood3

aggrade

H 1 to proceed

be H 1 to proceed

Click the button to perform a calculation

sur!ace elevatio

tio

7toprit C00 7umber o! time steps to pritout

host od 7prit @ 7umber o! pritouts

7 @0 +tervals

+! bed!orms are abset$ set kc / k

s$ where k

s /

k D ad

k is a order-oe !actor 2eg

:therwise set kc / a appropriate value icludig the e!!ects o! bed!orms

ace elevatio ξ

t exceed ξmi

3


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au 1 ;ere 1 / !ull upwid$ 0 / cetral di!!erece

o! calculatio 1C0 %ears


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3


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Auxiliar% (arameters

2alr3 1 coe!!iciet i &aig-'trickler resistace relati

2alt3 coe!!iciet i &e%er-(eter &uller t%pe load relat

2t3 1 expoet i &e%er-(eter &uller t%pe load relati

2tausc3 00= critical 'hields stress i Egelud-;ase total

2!is3 1 !ractio o! bed shear stress that is ski !rictio

28r3 8 1@ submerged speci!ic gravit% o! sedimet

αr

αt

t

τc

ϕs


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o

o

bed material trasport relatio


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8esults o! (rogram De!iitios4 x / distace dowstream$ eta / bed elevatio$ xi / wate

(arameters at ambiet e.uilibrium (arameters at !ial e.

'lope 0000C 'lope

Depth ==@0@ m Depth

'hields stress 000C1? 'hields str

'edimet load 10@0 tos%r 'edimet l

+mposed water sur!ace elevatio 1 m

x 2m3 eta 2m3 xi 2m3 ; 2m3 eta 2m3 xi 2m3 ; 2m3 eta 2m3

7ode time 2%rs3 bed 0 %r ws 0 %r 0 %r bed C0 %r ws C0 %r C0 %r bed =0 %r

1 0 10 11 1@ 1CC== 1?0?= ==?? 1?=1@

C ?????? ????? 11C @0@=@ 1C@? 11=? =1C 1?@

? 1@@@@@ @@@@@ 1@= @1C? 1C==0? 1@1@ ==C?? 1??

= C00 11?= @?1?=0 1CC@=@ 1@?C ==0= 1?1

??????? ?????? 1@01 @=?1@@ 1C0?01 1@@ =@0@?@ 1?0C1?

@ =1@@@@ 1@@@@ 11 @CCC 110?=? 1@=? =@=0?@C 1C=@? 000 1@@ @@@? 11C@0@ 1@=01@ =@@? 1C@=0?

????? ????? 1@?@ @0?@@ 1101 1@C@?C@ =1C=1 1C0?1?

@@@@@@ @@@@@ 1= @?CC? 11? 1@1C =0@? 1C??=C

10 00 1@=?1 0@=?0 11C0@C 1@1 =1??= 1C1@C?

11 ?????? ?????? 1?1C 1 110?@@= 10= =??=@ 1C00CC

1C 1@@@@ 1@@@@ 100?1 ???@=? 10@@? 1=?C =@= 11?0

1? 10000 1=1CC =1CC? 10@1 1@C0 =??= 11@@

1= 10???? ????? 1==?1 @10? 10=1 1C?C 10?C 111=

1 11@@@@ @@@@@ 1=1C= 1 @?= 1=@1 @C0@= 11?@0C

1@ 1C00 1?=1C =11 10= 1=CC @1= 11C01?

1 1?????? ?????? 1?1=? 0?0@ C@ 1?@C =@@ 11010@

1 1=1@@@ 1@@@@ 1?00 1?=1= @C== 1?11 =? 10@@1 1000 1?C ?C1 =0? 1?= =C=1 10==

C0 1???? @????? 1?110 =1? 1? 1?C@1? 1CC 101

C1 1@@@@@ @@@@@@ 1C?C @C@?1 @0? 1?0 ?0@ 10=0CC

CC 100 @ 1C@?@ @?@C @01C?= 1CC =@01? 10C1@

C? 1????? @?????? 1C@0= C1? @@0C 1C@ @@C C0=

C= 11@@@ @1@@@@ 1C== 0 @=11CC 1C?? ?@CC @C@C=1

C C0000 @ 1C?1C C?1C? @CC@C 1C?0 0010 @C0?

C@ C0???? ????? 1C1 ?=? @0=C@ 1CC?@ 10?C @?@

C C1@@@@ @@@@@ 1C01 ?1? =1 1C101 ?1??? @101

C CC00 11?1@ @?1@C @@?1 11=@ C10@= @1=

C C?????? ?????? 111 ===1 ==1 11= @00 @C?

?0 C=1@@@ 1@@@@ 110 1000=?1 ?1= 11=1@ =1= =??C

?1 C000 11@0? 101@0? 1?C= 11@?= 100C@C? CC1

?C C???? =????? 11101 10?1@ = 11?? 101? 101

?? C@@@@@ =@@@@@ 11=1 10=1 =?C 11=?1 10?@0@ =1@0

?= C00 = 11?C 10@?C =@0C 11?= 10C1 =C@@C

? C????? =?????? 11C=@? 101? ==?C@? 11C@1@ 10@?C ==?C=C

?@ C1@@@ =1@@@@ 111@@ 1000C =C? 111 10@1 =?1

? ?0000 = 11011 111011 =0=? 1110C 110C =1=@


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? ?0???? ?????? 1101 11C@ ?11@= 110C 1111C1 ?@?

? ?1@@@@ ?@@@@@ 100C 11=C? ??10C 10 11?@ ?1C11

=0 ?C00 ? 10=@ 11=@ ?@@ 101 11CCC ?@?C

=1 ??????? ??????? 10CC 11=@ ??C1 10CC 11@? ?=@1?C

=C ?=1@@@ ?1@@@@ 10@C1 110 ?CC? 10@ 11C ?C=1

=? ?000 ? 100 1C00 ?0?00= 100@ 1C01@ ?10@?

== ????? C????? 10@0? 1CC?1 CC? 10@=? 1C1?0 C??

= ?@@@@@ C@@@@@ 101 1C??1= C11= 10@01= 1C?=1@ C==

=@ ?00 C 10= 1C= C=1C 100 1C1?C1 C@0

= ?????? C?????? 10001 1C1@@ C?C0C1 100C@ 1C@C? C=1CC

= ?1@@@ C1@@@@ 10==C 1C CC0C?1 10=@? 1C=?C CC?==

= =0000 C 10=10C 1?0=10C C0?C=C 10=11 1?00C C0@0=C

0 =0???? 1????? 10?@ 1?C0?= 1@?@ 10?@ 1?1?C@ 10?@

1 =1@@@@ 1@@@@@ 10?C 1??@@0 1@=@0? 10?C 1???C 1C??1

C =C00 1 10C 1?C 1C@1 10C 1?0?C 1C0

? =?????? 1?????? 10C1= 1?@1 1?@1 10CCC 1?@@?? 1?10

= ==1@@@ 11@@@@ 10C1 1?= 11C1 10C1@1 1???= 1C10?1

=000 1 10111 1=0111 101@1 1011 1?= 10?0@@ =???? 0????? 101= 1=11=@ 01CC 101=? 1=1@?@ 0@C?

=@@@@@ 0@@@@@ 1011@1 1=?=== 0@C 1011@? 1=?C 0@=?=

=00 0 100= 1=0= 01=@1C 100@ 1==?= 0C1

=????? 0?????? 100 1=@CC 0?=@=1 100@ 1=@1 0?=

@0 =1@@@ 01@@@@ 100C= 1=?@0 01C 100C 1=C== 0100

@1 0000 -CE-01 1 1 00101 1 1=C 00C0?


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r sur!ace elevatio$ ; / depth

uilibrium

0000C

==@0@ m

ss 000C1?

ad 10@0 tos%r

xi 2m3 ; 2m3 eta 2m3 xi 2m3 ; 2m3 eta 2m3 xi 2m3 ; 2m3 eta 2m3 xi 2m3

ws =0 %r =0 %r bed @0 %r ws @0 %r @0 %r bed 0 %r ws 0 %r 0 %r bed 100 %r ws 100 %r

1C1C ==@? 1==0 1==0? ==??C@ 10=1 1@C@ ==11 1@==? C0110=

10@? ==1 1=C0= 11 ==0@1 1=1@ 1=0CCC ==@C 1=0C= 1?@C

1 =C001 1=11C1@ 1@C11= =0? 1=? 1C=10@ =0C11 1C=C 11

1=1C ==CC 1?? 1=@C= =C?1 1=@?@ 101 =10@ 11C0C@ 1@?1

1== =@@0= 1?@0 1?0@1 ==@1@? 1=?01 1C==1 =?=?0 1=== 1=?

1=?@C? =?0= 1?1 11?0@ =@? 1=C111 1@? =01 1=@1 1?1@?1C@ =@1?@= 1?=1@= 1001= === 1=0=? 1@1? =@@C 1=@0@? 11@C0C

11=1 =@?@@ 1?C=@@ 11? =@0=1 1? 1=@?@ ==?@ 1==? 1001

1@@ =@@=?@= 1?0C= 10=@@ =@C=1@ 1?11@ 1?1?C =@0C1 1=C11 1?1

1@0C =@0 1C1?C 1 =@=@? 1?=@1 11@@0 =@1 1=10@ 10C

1@C01@ =1@1 1C=0 1=1@1 =@@@?= 1??C1 10C01? =@?= 1?=1? 1==

1@01 ==1 1C@@C 1C@0 =@=? 1?C1 1@11 =@@?1 1?C= 1=1?0

1@=C ==@= 1C=C 11? =110C 1?0 1?= =@0C 1?@1CC 1C@==

1@?CCC =0=??? 1CC@@ 1001? =?==@C 1C= 1?1 =@=0 1?=@ 11C1

1@1 =?= 1C10@ 1@@?? =C 1C=C0 1== =1?=@ 1??00? 1=C

1@01C =@@?@ 11=01 1@?C =10 1C 1?11 =??C1@ 1?1=? 1==

1= =1= 11001 1@@0C =0C@ 1C=?1=? 11= =??C? 1C@ 10

1?11 =?C?? 11@= 1@= =?0@ 1CC== 10CC= =? 1C?= 10?111@ =@?C 11=C= 1@??? =@1= 1C1C@ 1@C1@= ==@? 1C@CC 1=?@

1@01C 00?=0 11?=C@ 1@C?0= =C1C 110@ 1@C =1C 1C?1@ 1?0?C

1=1 0=1C 11C00 1@10= =0 11C@ 1@@@@1 =?C 1C?C11 11C

1?=@ 0? 1100 11C= =?@11 11@1 1@=1?C = 1CC?=0C 10=?=

1C1@? C@ 1010 1= =@=1@? 11?@? 1@=1? =C0C 1C0?= 1@1@C1

1C@=? @@?01 10@0 1@01 =C@@ 11?C=C 1@C?? =0=1 11=C0@ 1@0?

1C=?1 ?C01= 10@C@ 1@=0 0CC?1 11C= 1@1C =CC= 111 1@@@@C@

1C?0 ?? 10=@C 1?= 0C@C 1110? 1@0@0 =C0?= 11@@@ 1@=??

1C1@1 10= 10?== 1=?C11 0?@@ 10@? 1=@= =@C1 111=C 1@=C?0

1C0C1 ?0? 10C10 1?C01 11@C=1 10?11 1?CC1 0010? 11?=? 1@?0=0=

11 =@1 10011@ 1CC 1=? 10@=? 1C0@ 0C@C= 11C?@? 1@1@@

11 @=0@= C=1C 11@1 C00C1 10 1@110C 0C0 1101 1@01

11@@ @? @C0= 11@@@ @=1@ 10=C= 10?C 0? 10@?=C 1@

11@0C 1000C ?1 11 @?1 10CC1? 1?= 10C1 10C 1==@

11=@0 10CC 0@11 11= 100C=1 101@0@C 1C?=? 1?C0 10@ 1?=01

11?@@ 10=00? =@ 11?? 10C0C= 100C@@= 111@1 1@=C 10@? 1@C0C

11CC 10= =@@C 11C@= 10=@0C @C@ 1101 =?= 10=??C 11@

111=C 10= ==?0? 11C0 10@=? @@C=C 111 =1@?C 10?0? 1=1C0C

1111= 10?= =C0C? 111C 10?C =?C@ 111? 100@ 1011 1?0


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110?? 1110C =000? 1100 1101= =111? 110@C 1001= 100=@@ 1C0@=

10@ 11C@ ?0C1 10? 111= ?? 10 1110C 00 110@0@

10@ 11=11 ?1@C? 100 11?== ?00@1 101@ 11C0 @01?= 10@@??

10?= 11@CC1@ ??C1=C 10=1 11C0= ?@0@? 10=? 11=@C ==@@?= 10?

10?C 11C ??=?? 10C 11C? ?=101 10 11@= ?1@? 101@

101= 11@C= ?1@C 101 110?@@ ?C?10 10C= 11=0 ?C@ 10?0

10@= 1C1?1@ CC@ 10@@C 1C001 ?0= 10@@? 1C0C0 ?10C=1 10@C

10@0 1C?010= C0?C@ 10@0@ 1CC1= C@10? 10@1C 1C1?= C1@ 10@1@=

10? 1C=@ C@?1?@? 10 1C=C=?= C@? 10@0C 1C?@@? CC@? 10@?@

1001 1C@?CC C==C@ 100 1C@= C=1 1010= 1CC C==1? 101?C

10== 1C0@? CC 10=@0@ 1C@0 C?11C 10=@C 1CC1 C?@00?C 10=@C

10=1? 1C=?? C10C?? 10=1@ 1C?1@ C1?10= 10=1 1C0C@= C1C 10=1=

10?0 1?1=C0@ 1C=1 10?C 1?10 1@101 10?= 1?0@? 1? 10?

10?? 1??0@ 1?01 10??1C 1?C00? 1?@ 10??C 1?C== 11== 10???

10C0 1?=@ 1C 10C1 1?==1 1@0C@ 10CC 1?=CC 1@?@1@ 10C?

10C? 1?@==C= 1=0 10C? 1?@1= 1=?1== 10C=@ 1?=0C 1==@ 10C

10C1@ 1?11? 1C?C1 10C1= 1? 1C@C?? 10C11 1?@ 1C01?1 10C1

101C 1?= 10@0=C 101C 1?? 101@= 101?1 1??@= 110?C? 101?@101= 1=1=?= 0C?= 101= 1=1C@@ 00?C 101== 1=10@ 0C@ 101=

1011@@ 1=?1CCC 01@?=@ 1011@ 1=C?= 0??@?1 10111 1=C0 01?0= 1011=

100 1==0@ 0==C 100 1==@?@ 0@0C 100@1 1===? 0@11@ 100@?

100@1 1=@=@ 0???=C 100@C 1=@?CC 0?C0 100@? 1=@1=C 0=01?? 100@=

100C 1=1C@ 0C0C1=@ 100C@ 1=00@1 0C1==C= 100C@ 1=?= 0CC@= 100C

1 1==@ 00?10C 1 1=@1 00=1= 1 1=1@ 00CC 1


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; 2m3 eta 2m3 xi 2m3 ; 2m3

100 %r bed 1C0 %r ws 1C0 %r 1C0 %r

==@@0 1@1=? C0@1C ==@=@1

==??@ 1? C0==@ ==10C

==? 1@= C0CC= ==?C

=11@1@ 1@C0 C01?1 =0@?

=C@0C 1=C 1C= =1=

==0@ 1CC0 11? =??C@=@1 111C@? 1@= ==@1

=0C 1=== 100 =@0?

=@C0 1== 1?C? ====

=@01? 1=@1C 1C010@ =@

=@11= 1===C 101? =@0C@

=@??=1 1=C 10?C =@1?

=@0CCC 1=1C=@ 1@ =@?C10

=@@@ 1?@= 1@11 =@=0?C

=@? 1?0@C1 1=@? =@@C1@@

=00CC 1?@=0C 1?C@? =@11

=1? 1?=?1 11@C@ =@?01

=?@0@1 1??? 10== =0===0=@ 1?1 110? =C===

=C?1 1?0??= 1= ==10@?

=01 1C?C@ 1@=0 =0

=0C1 1C?=1C 10? ==11

=C@ 1C@C 1?? =10@

==?C? 1C=? 1C=01 =0CC@

=@0@ 1CC= 11C0C =C@0=

=1@ 1C10 1@?? ==?CC

=0C 1C0011 1@@C =@101

=C?0 11@@1 1@=@0C =C0

=0?C 11C@ 1@@C=? =@

=10? 110@ 1@0=C@ =1@C0?

=? 11=0 1@?@ =?0C

01C1 11?1=? 1@C@@C ==C=

0?C? 111=1 1@1?0 =?@@

0@11= 110=@ 1@0?0 =??1

0=== 101?1 1C@@ 01??@

101 101C 11@ 0??@==

1?CC@ 10@1@ 10@0 0=C1=


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1@@ 10CC 10 00

1 10??1 1=1 0@C@=

@=@=1 10C@ 1?@@ 11

10@10C 101=?= 1C?0? 1?

11@0C 1001CC 110 1@1

11?1 == 100 11=?

11@ = 10??CC @C=?C

1C1==0 ?@11 10@00@ 110=

1C?C@= C01 10@@ 1CC=0

1C01? C?00@ 101@1 1C=@1

1C@@= C=0?11 10=@ 1C@=C@

1C@=@= CC111 10=C1= 1CC0?

1?0=1= C0?1 10?? 1?00?

1?C1 1=?= 10??C 1?11

1???C1 1@@@01 10C= 1??@?=

1?@ 1===? 10C@= 1?=0

1?=1 1?0=0C 10C1 1?1C

1?11C 11C= 101=1 1?C?1=0 0=0? 1010C 1=0@

1=C@0== 0@?? 1011 1=C=C?

1==?C1 0C?1 100@ 1==1@??

1=@0=C 0=1 100@ 1=@

1=? 0C?0? 100C 1=@?0

1==C1 00@?C 1 1=?@0


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0 000 10000 1000 C0000 C000 ?0000 ?000 =0000 =000 0000-

0

10

1

C0

C

Bed evolution (+ Water Surface at End of Run)

bed 0 %r

bed C0 %r

bed =0 %r

bed @0 %r

bed 0 %r

bed 100 %r

bed 1C0 %r

ws 1C0 %r

Distance in m

E l e v a t i o n i n m


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The text give below is also cotaied withi the stad-aloe Word documet$ 8te-b


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okAgDegBWFormuldoc


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rte bookagdegbw

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