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i

56 4 5712 2

18 2 9

26 8 20 1 26 11 10 2 27 2 4 3

ii

2

2

FL

m

mm

1

m min

4

a

c

e

b

d

FWL FWL

FWL FWL

FWL

5

m

m

9

PS

m

11

m

mm mm

m

m

m

12

mm

m

mm

13

JIS A 1202

1204 1203 1205 1214 1210 1218 1216 JGS 0524 JIS A 1217 JGS 0523 0541 0542

Dd max

D

wwet

wdry wf wwet

wdry Dwwet

wf

wf

14

dmax

d max

wd r y

ww

et

wf

wop

t

D

(UU)

(CU) (CD)

1.2

(CU) (CD)

(CU) (CD)

(CU) (CD)

)

Wf

15

D

D

D

w

wdry

woptw

wopt w

w

w

w w

dmax

dmax

d

cm s

k

S r

wwet

UU CU CD

w2 w3 wopt

w3

c U

c

16

n

n

ii

m1

mnmmn 1

mds

ds

n m n

2

17

cm scm s

2.6 ( 2.6)

5 10-5cm/s5 10-6cm/s

mmmm

mmmm

18

mm

1)

mm

1)

( ) 25 3

19

m m

m m

m m ha ha ha ha m s m s m m

21

YesNo

END

START

HWL

HWL

H m

H m

FWL

23

NEPA

27

5

avoidance

minimization

rectification

reduction elimination

compensation

28

IUCN6

better worse

29

1.2

200 1 200 A B

C

20

200 100

1.2 200

A

QA Are ················································································································· (3.2.1)

QA m3/s re mm/h A km2

(1) A

A

40km2

(2)

tp

ep rACt ··················································································································· (3.2.2)

A km2 re tp mm/h C tp C

32

CC

2 3

karbey

rziha kraven

C

C 250 350 290 C 190 210 200

C 130 150 140 C 90 120 100

C 60 90 70 (3)

re rfp

rfr pe ········································································································································· (3.2.3)

r 200 mm/h fp

fp

fp fp

0.75 0.90 0.70 0.80 0.50 0.75 0.45 0.60

0.70 0.80 0.75 0.85 0.45 0.75 0.50 0.75

fp

0.6 0.7 0.8 0.9

70 40 40

33

B

C

Creager 20km2

)1( 05.0ACAq ··············································································································································· (3.2.4)

q m3/s/ km2 A km2 C

34

C

/ 30

35

15 4 57 5

45 10 ( ) 11 11

Yes

No

Q2 1.2 Q1

Yes

Yes

No

No

START

30, 60, 120 200 r

fp

tp C A0.22 re 0.35 re fp r

re tp

A

AQ re A

Q1 max(QA, QB, QC)

1.2 Q1

Q 2

END END

B QB C QC

36

FS

No

Yes

Yes

No

No

START

q

END

No YesYes

No

Yes

FS 1.2

q 60 min100 m

38

L L

10 m

L

B B

HWL FWL

H1 H2Ha H

d

Hb

d 10 m H Hb d 10 m H Ha

H1 H2

h1

HWLFWL

h2h1 h2

41

B HWL

FWL

H1 H2 h1 h2

(1)

qc 500 kN/m2 k 1 10 4 cm/s 1 10 6 m/s

N 4

a.

42

1/3

b.

43

(a)

xr

xr

kkdt

······································································································································· (3.3.1)

t (m) d (m) k1 (m/s) k (m/s)

xr ( hb)xr

qf

qf

dr xxdhk

··········································································································································· (3.3.2)

qf (m3/s) h (m) xr (m) xd (m)

xr xd

h t

d

hb

(b)

x

xr

)( ax

ax

eae ···································································································· (3.3.3)

a

dktk

x (m) xr (m)

q f xr

x 1/10 1.0 3.0m

44

k

k

x xdd

t h

c.

(2)

(HWL) (FWL) h1 ························································· (3.3.4)

a. FWL

b. h1

0.3 1.2m

45

(a) h1 b h1 b h1 b

(b)

h1 v h1 v h1 v

(c)

(d)

(3)

R 1.0 m h2 0.05 H2 1.0 ··································································································································· (3.3.5)

5.0 m1 m

R 1.0 m h2 0.05 H2 R ······································································································································· (3.3.6) R m

h2 m H2 m

R F (m) V (m/s)

a.

(a) F F

( a )

( b )

ab

46

(b) F F

(c) F

(d)

F'F'

Fa

b

cd

F'

F F''

F'

F F F

F'

b.

30 m/s20 m/s

1999 30 m/s

47

m s

48

c.

Rm

V m s

V m s

V m s

V m s

V m sV m s

F(m)

Severdrup-Munk-Bretschneider S.M.B Wilson Saville (4)

B 0.2H 2.0 ····································································································· (3.3.7)

B m H m

5.0 m 2.0 m

3.0 m

49

(5)

B

HH

HWL FWL h

h

d d

h

b

h

d d

n

n nn

n

n n n

n

H (m)

H1 (m)

h1 (m)

h2 (m)

B (m)

n4 ( )n1 ( ) b (m)h3 (m)

d1 (m) d4 (m)

d2 (m)

d3 (m)

h4 (m)

0.3 1.0 3.0

1.5 0 0.3 1.51.5

1.1 1.5

5 3.3 0.5 1.2 1.8 1.5 0.5 1.8 1.3 1.85 3.3 0.5 1.2 3.0 1.8

1.5 0.5

1.81.5

1.3 1.8

10 7.8 0.8 1.4 4.0 2.1 2.4 2.1 2.110 7.8 0.8 1.4 4.0 2.1

2.0 0.5

2.41.5

2.1 2.1 15 12.2 1.2 1.6 5.0 3.0 3.5 3.2 2.5

(3.3.5) (3.3.6)

(3.3.7) 1.5

3 1

m

0.3

1.5 3.5m

1.5 m

n2 n1 0.1 n3 n2 0.2

d3 1/2 d2

1.5 2.5

1) 2) 3)

(6)

(a)

100m

60 / min

50

10.05

(b) .

15 4

khHb

hHqsinsinCM

·········································································· (3.3.8)

q m3/s b PQ m H1 m k m/s CM M L

MQ M LP C

cossinCM B ······················································································································· (3.3.9)

FWL

L M

QC

MQ R

P

B

H

B

h

b

B B

.

(c)

51

b.

15 4 A. Casagrande

B1 B2 (B1 B2)/2P R B1 B2 /2 PQ

Q k2 -3.3.13D X Y Y

Y Y0 X 0,Y0

q (3.3.8) Y0

kqY ············································································································································· (3.3.10)

YXYY ···························································································································· (3.3.11)

q

Q 2 k2/k1 10

q YesNo

q

OK

52

FWL

L M

QR

P

B

H

B

h

D

Y

XY0

B B

(7)

a. (a)

(Fs) 1.2

(b)

)

1.2 50 100 50

)

(c) .

( )

t

53

( ) t

sat ( )

t sat

t t

sat

t

sat

( )

t sat

.

(d)

Rsin O R

A C

w

O C

BB

A D

p wh

h a

sat

t

t

satB

h

a

O

A

p wh

w

b

t

sat

w

wsin

C

O

A

B

F

E

D t

sat w

(a) (b)

(c) (d)

ABEFDA

54

.

0.15 0.15 0.12

0.15 0.12 0.10 )

(1) (2) (3)

( ) ( )

(1) (3) (

)

( )

55

b.

2 1 3

c 1 3 U

c (a)

30 m 15 m

c

c c

c c

c CU CD

c UU CD

c

N c

56

c c 0

0

c c 0

0

Dunham

Peck N

Meyerhof

N

N N

N

N

N

Dunham

N N

c kN m

c Nc N

N N

Peck qu N

qu N

Dunham qu N

Peck qu NTerzaghi

N

q u q u

N c

57

(b)

15 4 p. -102 -111 c.

d.

9 10

(8)

58

(a)

(b) (c)

(b)

(c)

a.

3 1

b

59

C BA

A B

A B C

n n

n

n

n

(a) (b)

b.

BF

BF

F15 15 B85 85 B15 15

75 m 5

B

B BB

mm

(9)

B

B

60

1/2

FWL

H

H

61

15 4 57 5

( ) 9 10 ( ) 14 3

7 pp.51-65

62

FWL HWL

63

HWL

HWL

HWL

1.5

1.5

64

a b c

d e f

g

65

m s

V P

Hd

d

hv

HP

V m s

d

V

AdQ m s

A d L

d Hd Pg

V

V m sA md mQd m sL mHd mP mg m s

66

m

mm

B=d

d

HC

Q

B mQd m sC

° Hd B

Hd B

B

Hd m

Bdd

d

HCQ

B mQd m sCd m s

Cd

Hd m

67

Hd Hd

B

hv

HdHd

hv

B

68

YdH

X

Y mX mHd m

p

Xp Hd n

np n

Xp p X m

a Hd mb Hd mc Hd m

d Hd mr Hd mr Hd m

Hd m

hv

d

a

rr

b

n

p

Y

X

Hd

Yp

Xp

c

········································································································· (3.4.6)

69

Hd

d

d

Hdh

d

d

Hh

Hd m

hv

hd

P

Hd

d

Qd Cd B HdQd m s Cd m s B m Hd m P m

Cd

P Hd

Hd

P

HP d

70

Hd P

Cd PHd

C

d

d

HHa

HHa

H mHd mP mCCd H Hd

a a H Hd C Cd

Cd

Hd Hd

P

HWL HWL

T

P RT P

T

Hd Hd

R RR Hd HdR Hd

HWL Hd

71

B

A

R

T

R

T

R

T

A

Bt

Bc Bc

R

T

Hd

A

A A

A

B

A A

72

B B Ka Hd

Bt B Bc

B m B mKa

Hd mBt mBc m

d

d

Hdh

d

d

Hh

d

d

Hh

hd d Hd P

P Hd

C

P Hd R1

P/Hd 0.2 0.5 1 2 5

1.8 1.8 2 R1 Hd 0.5Hd 1.8 2

1/4 2.1 2.1 1.84 2.1 2 1.83

( ) 2.0 2.1 2.15 2.16 2.18

······································································································· (3.4.10)

73

b b

74

b b

Hd

P Levelh Vhv h

V

l l

hVA B C

V g

V g

V VgK hm

h V

P Hd h hv Z hg

V Z hhbg

dQ Z

P m Hd m h m hv m

Z m

V m sg m sQd m sb m

h l V l

rFhg

V

hh

rF

l h

Vhb

dQ

·········································································· (3.4.15)

75

Fr

h B ml mV B m s

BC

B hg

V hg

Vg

VVKhm

h C m

hbg

dQ

b C mV C m s

Vhb

dQ

Khm m

hm lII

IR

Vn IR

Vn

n I I R B mR C m

B CA B

C

76

b

VV g

V VgK hm

V g

A B

h V

b

h

L

B

dy

Hd

Hd

d

B

l

i i

X

y

B

d

77

m

s

iB d d B

Fr

DgVFr

m sg m s

D A T mA mT m

1/2.5

m q

m 0 q

Fr

dgV

Bdm

BdmBd

rFgQ ···························································································· (3.4.17)

m 0.7 m d / B 0.5

78

d 0.463rF

Q ( m s ) ··········································································································· (3.4.18)

0.44 0.5 d (0.643 0.61) Q2/5 (m s ) ································································································· (3.4.19)

A

A (B dm ) d (3.4.20)

X Bx (m) Zx (m)

Bx

LXB 11 ················································································································· (3.4.21)

Zx i1 X B (m)

B /B B /B 0.5 B X (m) L (m) B i1 1/13

l (m) l 4 d ························································································································· (3.4.22)

d (m) i2

i2 g n2 Fr 2d

Bd

···································································································· (3.4.23)

n

Bx B

a

Wt

b

Hd

Bx

B

d

R s

m

qd Qd Wt

qd Qd Wt

a b a a

b b

79

p

i

hQQQ

Q XVqVg

VV

h X mQ a m sQ a m sV a m sV a m sq m s m

V V V m sg m s

a a

d d

QQVV

X

h

80

hp

B L i

l

V g

V g

hm

A

B

d

d

V

Vhs

l

81

ms hg

Vdhg

Vd

d A mV m sd B mV m shs mhm m

m

mm R

lVnh

VVVm

RRRm

n R mR m l m

82

USBR III

m s mm s

USBR IV

d

Fdd

1

F

C

g

FF

FFF

dW

d md m

Fdg

V

V m s

83

W mC m s Cg m s

d

d

d L d

W

USBR III

m s m m s

dd1 F1

LIII 3 d2

84

d

d

d Lm

Lm

h

d

d hW h

S hS dh d

h h

W d

III

h h

h

F Vgd

d h

d h

III IV

85

USBR IVF

III d

LIV

W d

h d

Wd min

LIV IV

d LIV

F IV

m s m s

86

A

A

V

W tw

b

tw

tw cmtw

cm

a

cm

W

W

t p W

W

W

cm

A A

W W

W

b

t w

W

c

cm

W tb W

cm

cm

b

cmQ

m /s a b c tw tf tb tp

W Q

Q m sW

m

W

Yq q Q

H

Y

V

d

TW

q

b b

87

I III or IV

He

P

Y

Ld

df dd

VTW

hd

LI III or IVX

Ld

USBR III USBR IVLd D hd He Y

d d F D Yq

YdF

Yd

YgqD c

q m s mg m sY m

dcg

qm

Fdg

V

dVq

m

V m sd d F

USBR III IV F

FUSBR I

88

F USBR IVF USBR III

USBR I

F

D

hd

Lp

LB Lp dc

dc dc

dc

TW dc

He

P

He

P

Y

Ld LI III or IV

df dd TW

hd

Lp Y hd He

Lp Y hd HeLp Y hd He

Lp Y hd He

Lp Y hd He

F V g d

Ld Y hd He

Ld Y hd He

Ld Y hd He

Ld Y hd He

Ld Y hd He

dc Y

df Yd Y

d Y

V d F Xdc df

Y

V

X

89

m dc dc

q q gY hd

dc Lp Lp Dhd He Y

dc

He

P

Y

Lp

LB Lp+ dc

hd

dc

dc

dcTW dc

90

LGW

He

LB

TW He

eG

HgNWL Q m

Q m sW mN g m s

mm W

m He

m LG

USBR IVd d Q d Y Q

q

91

Fb dg

V

Fb m g m sV m s d m

Fb C V dFb mC V m s d m

m

Fb V dFb m V m sd m

m

m

HWL HWL

92

E N D

START

No

Yes

No

Yes

93

1) L L (3 5)H 2)

H

L

94

Westergaard

hbKP whew

hhew

Pew kNKh

w kN mh mb mhew m

hew

Pe wh

Westergaard V

·················································································· (3.4.33)

95

1) 2)

96

1) 2)

97

END

T

START

END

OK

NO

98

1) 2)

99

1) 2)

100

(N/mm2)

SD295 176 264

157 264

SD345 196 294

176 294

( ck 21N/mm2)

8 12

0.42 0.63

1.5 2.25

( ck 24N/mm2)

9 13.5

0.45 0.67

1.6 2.4

101

h m h m

h h

m m m

m

A

RHWLFWL

102

mmm m mm m

(mm) (mm)

200 150 230

200 300 200 250

300 400 230 300

400 300

cm

TT/2

T/2

T/2 T

T/2

103

(VP)

D13mm 16mm D16mm 20mm L 500mm

D16 19mm 19mm D19mm 25mm L 500mm

D22mm 25mm D25mm 30mm L 500mm

1) U.S.Bureau of Reclamation Design of Small Dams

D.R.Waldron Design of Labyrinth Weirs, MSc thesis, Utah State Univ.

D.S.Miller Discharge Characteristics, Balkena PublishersN.Hay,G.Taylor Performance and Design of Labyrinth Weirs, Jour. of HY,ASCE

T/2

T/2

T VP

500 m 500 m

104

HgCA Q

A mQ m sCg m sH m

Q Q C

C QQ

H

FWL

H

107

mm

mm

x x

x

a

b

D

x

mm

D

a

b

m s m smm

VA Q

A m Q m s V m s

108

0.15 0.20 m 0.60 m

H m

B m B

m

109

S USS US

mm

110

mmQp

Qp

111

Q e

AIRneQ

Q e m sn nR mIA m

rad

h D

R A h

cosDh

sinD

A

sinDR

h D A R

mm

h D m

A m

R m

R

112

m

H m

H m

m

m m

m

H

H

m m

H

H

113

aD

a

a D

D

m

114

F.W.L.

D

V P

mm mm

VP

D mm a m a m D mm a m a m

) mm

115

m

mm

IP

S

116

1m

m b

h

m

m

m

cm

117

h mh m

m

h

m

mm

m

mm

mm m

mm

m

118

mm

H

mm

JSWAS A JDPA GWSP

119

m

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124

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GT s

iH i m

siV i m/s

siV 100 iN 1/3 1 iN 25 ················································· (3.8.17)

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149

a b

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cm

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153

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154

JIS A

JIS A

JGScm

m

Dk cm s

JIS A

JIS Acm

m

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D JIS A A B

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157

mhahahaha

p

IN RN N N bT'a

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162

Arf

163

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165

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166

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167

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168

t h mO t t

m s

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169

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m m

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170

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hm

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171

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X mY

172

L H

H

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n

mm

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173

FWL

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HWL

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174

FWL

R L

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Mx

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175

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176

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178

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179

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kN m

180

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Ph Ph

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Y m

Mx

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)

181

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Ph

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Ph Pv w

kN m

182

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X m

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Mx

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kN m

183

My

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184

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185

Ph

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186

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187

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188

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kN m

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qq

189

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kN

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kN m

My

kN m

Fs P kNPh kN

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OK

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MM yx

m

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m

kN mkN m

qq

190

|e| B m OK

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H kN

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kN m

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Fs HBcPV htan

OK

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MM yx

m

e B d

m

kN mkN m

191

|e| B 0 m OK

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kN/m OK

.

P Fs H V fP Ph

P Fs

H V

F tan

Ph

kN mkN m

qq

192

mm

FWL mn

Q m sFWL H m

D mm

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mm

mm

m

Q

m s

/HgCA

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FWL

H m

193

A mQ m s Q m sC g m sH m Hd H hHd mH max D or mD mh m

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m m

/n/

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Hm H m

H H m

A

m

m

194

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m mh

mH

m H m

H H m

A

mD mm

mD mm

Qmax

m s

HgCAmaxQ

D mm

mm

mm

mm

195

Qmax

m s

Q n R I AQ m sn R mI A m

h D

Q max mm

mm

mm Qmax

h D A RA mR mI I

Qm s Qmax m s OK

mm

h

m

A

m

R

m

Q

m s

D h

196

3.272

1.600

0.836

2.436

197

H m Wv w H

H m Wv Cd w BWv Cc w Dc

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Re

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2

W w Hv

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2

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198

W C w Bv d

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(=25 )

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c

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221

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P HD

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12

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2

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199

c

c ( 0.836 ) 1.0 sd -0.1

22

v 77.87 kN/m2

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HWL

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HWL

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PVC

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CSM

210

mm mm

H t

H m

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t mm

H m

t mm

t mm

EPDM IIR

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m

211

JIS A

N cm

N cm

N cm

mm mm

PVC PVC

N cm JIS A JIS A N cm JIS A . JIS K JIS K

212

kg m

213

cm

cm

cm

cm

cm

214

Ls Lc

Ls Lc

Lc Ls

h s

H hs m m m m m m

m

215

H m m m

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F F G G

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F

m

216

R

mm

217

VP

mm

cm

cm

218

m mm

mm m

m

mm

220

mm mmU

mm

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mm

221

mm

mm

222

ba

b

cm

223

mm

224

m

pHm

226

JIS A CBR JISA

qu qc

cu qq

227

qc kN m

kN m

t

t

kg m

q ukN

m

g cm

ig loss

mm m

m

m

m

228

cm

cm

229

CBR

JIS A JIS A

m

m

CBR

JIS A JIS A

m

JIS A

m

JIS A

m

m mg

230

pH

m

231

qc kN m

qc kN m

qc kN m

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qc kN m

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233

l

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W P L W A W T P R T A B

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P W P L W A W T P R T W L A T R

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236

C R m

ALAW

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Bdd

d

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Q d m s Hd m Cd m s A B m W W

W B D cos m L W

L B D m

237

W P L W A W T PR T

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ALAW

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AL sin m

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B

dd

d

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W W W B D cos m L W L B D mCd m s C m s

C Cw g

PW

PW

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238

A/W

CW

L/W

H/P

L m A mW m

H m P m

H P

H PH P

239

p Frederick Lux Design and Application of Labyrinth Weirs, International Symposium on Design of Hydraulic Structures nd p

No

240

ts

241

mm

N mm

243

kN m

m

2

245

10m

m

m

Af Ar Ac

b

Ar

A

246

, m

,

Windows

253

Md

Mlog d M

M

M

d km

dkm

M

km

254

Map DK

km

km

km

K-NET gal gal

255

km

km

m

256

N

Vol.9 No.3 443-455 URL https://www.jstage.jst.go.jp/article/jgs/9/3/9_443/_pdf

URL http://www.naro.affrc.go.jp/nkk/introduction/files/d_sendan.pdf

SBIFT 2009

URL http://www.web-gis.jp/e-Forum/2009/132.pdf

257

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