Calcule Hydrologique Et Hydraulique

Bassin

A(m²)

A(km²)

A(ha)

L(m)

L(km)

Hmax

Hmin

BV1 BV2 BV3

2624514.06 2145829.83 2217640.55

2.62 2.15 2.22

262.45 214.58 221.76

2881.30 2125.80 2251.16

2.88 2.13 2.25

154 154 154

12.93 19.01 16.64

BV4

2611599.69

2.61

261.16

2831.30

2.83

154

13.02

∆H 141.07 134.99 137.36 140.98

Formule de Mac-Math

_(())=..^0,58.^ 0,42

  / / +éi"  éa'r ('n m3s) P / ha"'r maxima&' ('n mm) +' !&i' "$mé' 'n 24 h sr &' assin 'rsan" A / ra' + assin 'rsan" ('n ha)  / !'n"' + assin 'rsan" 'rsan" ('n mmm)  / $'*i'n" +é!'n+an" +' &a na"r' +' &a sra' + assin 'rsan" $m!ris 'n"r' 0:11 '" Préi!i"a#$ns maxima&'s 'n 24 24 H P 175 P 175 $'*i'n" +é!'n+an" +' &a "$!$,ra!hi' (-a"r')/ 1

 

mm 0.11

- + 

A

L

∆H





B.V.

Ha

m

(m)

mkm

m3s

BV1

262.451406

2.8813

141.07 48.9605386 xxx

BV2

214.582983

2.1258

134.99 63.5007997 xxx

BV3

221.764055

2.25116

BV4

261.159969

2.8313

137.36

61.017431 x xx xx

140.98 49.7933811 xxx

 

Bassin Bassinss 'rs 'rsan an"s "s +' ,ran+ ,ran+'s 's +im +im'ns 'nsi$n i$nss '" i'n i'n $' $'r" r" 'n é,é é,é"a "a#$n #$n (1) ! !'r; 'r;i' i'ss &# &#é's é's '" "'rr 'rrains ains a,' a,'ss 'n <$n's $n's s srrain ain's 's (2) (2)  =x001>= ?'rrains ?'rrains n$n aména,és n$n r$h'x '" +' !'n"' !'n"' m$@'nn' m$@'nn' (3)  =x001>= >a$r,s >a$r,s n$n !aés !aés (4) ?'rrains n$n aména,és r$h'x '"  $r"' !'n"' (5)  

:43.

Va&'r +'  0.11 0.11 0.2 0.22 0.32 0.43

_(())=0,0039.._1.^ _(())=0,0039.._1.^0,75.^0,25 0,75.^0,25

Formule de Burkli Ziegler 

?  +éi" maxima& ('n m3s)+' ré'n' 1? H1h  !réi!i"a#$n maxima&'('n mm) 'n 1 h A  sra' + assin 'rsan" ('n ha)   $'*i'n" +' riss'&&'m'n"   !'n"' m$@'nn' + assin 'rsan" ('n mmm). Préi!i"a#$ns maxima&'s 'n 1h H  41.33  41.33

mm

- +

A

L

∆H



B.V.

Ha

m

(m)

mmm





 

m3s

BV1

262.451406

2.8813

141.07 48.9605386

0.6 16.6812844

BV2

214.582983

2.1258

134.99 63.5007997

0.6

BV3

221.764055

2.25116

137.36

61.017431

0.6 15.5332778

BV4

261.159969

2.8313

140.98 49.7933811

0.6 16.6899149

15.306381

_(())=(._((,) ).)/3,6×

Formule Raonelle

? / Céi" +' !$in"' +' r' +' !éri$+' +' r'"$r ? 'n m3s  / $'*i'n" +' riss'&&'m'n" 'n D (?:?)  / in"'nsi"é +' &Ea'rs' +' !éri$+' +' r'"$r ? 'n mmh A / ra' + assin 'n m² - +

A

B.V.

K coefcient de ormule raonn

=1+

L

∆H

P-?

? mn

? mn

? mn

m

km

m

mm

?rra
s!a,n$&'

a&i$rni'nn'

BV1 BV2 BV3

2.62 2.15 2.22

2.88 2.13 2.25

141.07 134.99 137.36

0.05 0.06 0.06

57.48 42.65 44.83

72.67 54.69 57.60

62.87 45.00 47.76

BV4

2.61

2.83

140.98

0.05

56.57

71.47

61.62

2

correcon de la elle si 10 km²< S

100ans Paramé"r' F$n"ana

〖 _ 〗 ^1,2 ^1,25/( 5/( 〖 _ 〗 ^1,25+14)

a=42.30 et b=

a= 5.637 b= G0.515

? mn

? mn

? mn

? mn

? mn

? mn

(?:?)



ir!ih

 $r!s

V'n"ra

Van ?' h$I

Jian+$K

m$@'n

mmhr

D

57.46 41.13 43.65

67.35 50.69 53.38

55.88 44.37 46.01

38.15 28.89 30.36

96.46 82.60 84.47

63.54 48.75 51.01

39.8687453

60

45.6961321

60

44.6441382

60

56.32

66.23

55.27

37.52

95.68

62.59

40.180289

60

Valeures des coecients de Montana a et b STAT!"  

#riode $T%

.687

(?)

0
&0
a

b

a

?an,'r $1 $1))

11

5.56

G0.51

11.7

MN+a $(%

10

4.54

G0.67

1.63

Oaa" $)%

11

2.47

G0.23

>'s $'%

10

6.96

G0.67

12.47

F'kn's $*%

10

6.24

G0.55

11.25

11

2.25

G0.11

11

16.2

G0.81

8.71

asa&ana $+%

0?

17.4393471

Fi+'&" $,%

9

2.78

G0.56

2.04

16.3426872

. ?a+&a$-% ?a+&a$-%

7

3.26

G0.55

2.47

16.5007752

a; $&%

10

7.41

G0.65

17.4891384

Farrak. $10%

10

9.48

G0.78

12.6

A,a+ir $11%

11

4.08

G0.56

5.37

b G0.86 G0.46 G0.75 G0.69 20 G0.69 G0.52 G0.49 G0.855 G0.60

_(())=2..!"_10 〖 (1+.ℎ) 〗 ./#$.#(1+ ./#$.#(1+4.!"_ 4.!"_11

Formule de Mallet-Gauer 

(?) / Céi" +' !éri$+' +' r'"$r ? 'n m3s (?) /  / $'*i'n" !ris 'n"r' 1 '" 2 a Far$ a / $'*i'n" !ris 'n"r' 10 '" 20 a Far$ h / P&i$mé"ri' P& i$mé"ri' ann'&&' 'n m"r' A / !'r;i' + assin 'rsan" 'n m² ? / Péri$+' +' r'"$r 'n ans L / L$n,'r + $rs !rini!a& 'n m ?

h(mm) 10



a

1300

2

20

-assin

A(km²)

L(km)

BV1

2.62451406

2.8813

(?) 18.9470893 m3s

BV2

2.14582983

2.1258

(?) 18.2065784 m3s

BV3

2.21764055

2.25116

(?) 18.2564466 m3s

BV4

2.61159969

2.8313

(?) 19.0240521 m3s

 〖 () 〗− !"_10 〖 () 〗 )

_(())=(1+%.!"() _(())=(1+%.!"() ).(&^0,8+(8×&^ Formule de Fuller II 

? / +éi" +' !$in"' +' !éri$+' +' r'"$r ? 'n m3s a / $'*i'n" arian" 'n"r' 0.7 '" 0.8 a Far$  / sra' + assin 'rsan" 'n m² $'*i'n" ré,i$na& +é!'n+an" +é!'n+an" +' &a "$!$,ra!hi' "$!$,ra!hi' !ris é,a&  80 'n !rairi's !rairi's '" 1 - / $'*i'n" <$n's m$n"a,n's's.

Région $1% .laine 80

a= 0/,* 0/,*

$(% 2ion accidente85 accidente 85

T=100

$)% Monta2ne 100

- + assin

Oé,i$n

-



(?)

BV1

2

85 2.62451406 xxx

BV2

2

85 2.14582983 xxx

BV3

2

85 2.21764055 xxx

BV4

2

85 2.61159969 xxx

0,5)/3).4/3.'/100

0 'n

_((=1000))=_1.&^(_2 )

Formule de Hazan-Lazarevitch

ré'n' 1000 ans   / / Céi" +' !$in"' +' ré'n'  / ra' + assin 'rsan" 'n m² 1 '" 2 / !aram"r's +é!'n+an" +' &a ré,i$n '" +' &a !&i$mé"ri' m$@'nn' ann'&&'. La "rans!$si#$n +'s +éi"s +' r's mi&&énia&'s ax +éi"s rérr'n' ? s' 'ra !ar &a $rm&' +' >&&'r 

_( _( 〖 Formule ( ( 〗 de _1)) _1Fuller ))=( =(1+ 1+%× %×!" !" 〖 (_1 (_1))  )/(1 )/(1+% +%× ×!" !" 〖 (_2) (_2)  ) I  - + assin

( (km²)

P m$@

1

2

1000

(100)

BV1

2.62451406

1300

15.55

0.778 xxx

xxx

BV2

2.14582983

1300

15.55

0.778 xxx

xxx

BV3

2.21764055

1300

15.55

0.778 xxx

xxx

BV4

2.61159969

1300

15.55

0.778 xxx

xxx

 

'n 'n"ra& "ra&

Oi  Mi Mi+' +'n n"a& "a&

Mri' Mri'n" n"a& a&

1

15.55

9.76

7.58

14.94

13.51

13.47

9.38

2

0.778

0.793

0.808

0.636

0.613

0.587

0.742

P 'n mm

1000G1300

800G1000

600G800

700G900

500G700

400G500

200G400

Paramé"r' a +' >LLO 1 a 0.8  1.2 Par#' Par#' n$r+ n$r+ + Far$ Far$ 3  3.5 M'+s ahari'ns a 0.8 ? 10

_((_2))

F$@'n A"&as

Ha" A"&as

-+ BV

(km²)

FaGFa"h

Brk&iGQi',&'r

Oa#$nn'&&'

Fa&&'"GJa"hi'r

BV1

2.62

xxx

"   16.681

!   17.439

!

 

18.947

!

BV2

2.15

xxx

"   15.306

!   16.343

!

 

18.207

!

BV3

2.22

xxx

"   15.533

!   16.501

!

 

18.256

!

BV4

2.61

xxx

"   16.690

!   17.489

!

 

19.024

!

>&&'r 

Ha
(10)

>$rm&'

1km² RRR

110km² GGG

xxx

"

xxx

"

 

17.689

 

FaGFa"h

xxx

"

xxx

"

 

16.619

 

Brk&iGQi,&'r

RRR

RRR

xxx

"

xxx

"

 

16.763

 

Oa#$n'&&'

RRR

RRR

xxx

"

xxx

"

 

17.734

 

Fa&&'"GJa"hi'r >&&'r 

GGG

RRR

GGG GGG

GGG GGG

Ha
S10km² GGG GGG GGG RRR RRR RRR

_=2,80..^1,

Formule de Delorme our le! Bu!e!

_=1,5.$.^(3/2

Formule de Delorme our le! Dalot!

- Mra,'

MH1 MH2 MH3

Céi" a&&é mTs

CALM? -

L

H

16.62 16.76 17.73

2 2 2

2.00 2.00 2.10

2.00 2.00 2.10

Céi" ri#' mTs 16.97 16.97 19.17

?'s"

3on 3on 3on

.0,88 ) B U

-

1000 1000 1000

3 3 3

Céi" ri#' mTs 3.70 3.70 3.70

?'s"

#as bon #as bon #as bon

 5

=

Formule de Manning-"treckler 

4



1

m

m

a 

a -a"r'/

 

1

La sra' m$i&&'r

 =(%+)

_*=(%+)/(%+2#(1+^2 ))

L' Oa@$n h@+ra&i'

(?) 17.689  (?)

4= = 5= 67ar2e =

. 〖 _* 〗 ^(2/3).#. 60

 60

0.3

 50

2.5

 30

0.002 (?)(W0:5) 6.592  (?)

1.55 0.66

OhW(23)xA 6.592 ana& 25 25.526

2.70 69.30

?'s" 3ien V 3.849 3.849 $n+i#$n/ Vri

ana& 'n é"$n (1) ana& 'n ma$nn'ri' (2) ana& 'n "'rr' (3)