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HYDROLOGIC AND HYDRAULIC MODELING Hydrologic Precipitation & Basin Parameters, Flood Frequency Analysis Hydraulic Energy & Momentum Relationships

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HYDROLOGIC AND HYDRAULIC MODELING

Hydrologic Precipitation & Basin Parameters,

Flood Frequency Analysis

Hydraulic Energy & Momentum Relationships

HYDROLOGIC MODELING

Hydrologic Routings Overland Flow (Rational Formula: Q = CIA)

River Channel (Muskingkum, Straddle Stagger, etc.)

Flood Frequencies e.g., 50 & 100 Year Floods(log Pearson Type III distribution)

Water Budget Analysis Droughts

Water Supply

Rule Curve

Reservoir Operations

HYDRAULIC MODELING

Steady State Step Backwater Computations(FEMA FlRM Flood Studies)

Unsteady State Dam Breach Analyses,Detail Flood Studies,Dynamic Riverine Conditions

HYDRAULIC MODELING HISTORY

Pre 1970 Paper Spreadsheets

Physical Models Logan Martin at Univ of ALFarley Nuclear Plant at Auburn Univ

US Army Corps of EngineersWaterways Experiment Station (WES)at Vicksburg, MS

Post 1970 Fortran 66 US Army Corps of EngineersHydrologic Engineering Center (HEC)at Davis, CA

HEC-1 (Basin Overland Flow)

HEC-2 (Steady State River Routings)

HEC-5 (Reservoir Operations)

HEC-6 (Sediment Transport)

HEC HMS

HEC RAS (Also Unsteady State)

RES SIM

NEXGENEXCEL Spreadsheets

HYDRAULIC MODELING HISTORY (Continued)

Post 1977

1976 Teton Dam Idaho 14 Killed

1977 Laurel Run Dam Pennsylvania 40 Killed

1977 Taccoa Falls Dam Georgia 39 Killed

HYDRAULIC MODELING HISTORY (Continued)

Post 1977 DAMBRK Dr. Danny FreadNational Weather Service (NWS)Silver Springs, MD

UNET Dr. Robert Barkauat Colorado State

DWOPER

BRANCH

FLDWAV

HEC RAS

HYDROLOGIC MODELING EXAMPLE – (Water Budget)

R L HARRISImpact of 200 CFS Minimum Flow during Peak Season

775

777

779

781

783

785

787

789

791

793

795

1-Jan 1-Feb 1-Mar 1-Apr 1-May 1-Jun 1-Jul 1-Aug 1-Sep 1-Oct 1-Nov 1-Dec

Ele

v (m

sl)

Rule Curve

Historical Average

+200 CFS Peak Season

Drought Contingency

HYDROLOGIC MODELING EXAMPLE – (Routings)

Black Warrior River

0

20000

40000

60000

80000

100000

120000

140000

1 6 11 16 21 26 31 36 41 46 51 56 61 66 71

Hours Feb 5-7 2004

Flo

w (

cfs

)

Smith Inf low

SmithDischarge

Arkadelphia

Sayre

BankheadInf low

Gaged Inf low

Poly.(BankheadInf low )3 per. Mov.Avg. (SmithInf low )

HYDROLOGIC MODELING EXAMPLE – (Flood Frequency Analysis)

R L HARRIS Reservoir Inflow(1924-2003)

-

25,000

50,000

75,000

100,000

125,000

0.101.0010.00100.00

Exceedance

Pea

k In

flo

w (

cfs)

Computed Expected 5% 95% 80 Records

500

YR

250

YR

100

YR

50 Y

R

25 Y

R

10 Y

R

5 Y

R

2 Y

R

1 Y

R

HYDRAULIC MODELING EXAMPLE - (HEC-RAS Steady State)

HEC-RAS ROUTINGS OF LAY RESERVOIR

395

400

405

410

415

420

425

430

50556065707580859095100

Stream Miles Above Mouth of Coosa River

Ele

va

tio

n (

ms

l)

HEC-RAS 100 YR

1979

32.9K

APC Easement

APC Fee

LOGAN MARTI

LAY DAM

Ke

lly C

ree

k

S.C

.L.

R.R

.

Pa

pe

r M

illT

alla

de

ga

Cre

ek

Ta

llass

ee

ha

tch

ee

Crk

.

So

uth

ern

R.R

.

Ye

llow

lea

f C

ree

kS

EG

CO

Ste

am

Pla

nt

Ce

da

r C

ree

k

Na

rro

ws

Wa

xah

atc

he

e C

ree

k

Hw

y 2

80

Brid

ge

EXAMPLE DATA

HYDRAULIC MODELING EXAMPLE - (DAMBRK)

R L HARRIS DAM BREACHSTAGE AND TIME HYDROGRAPHS

May 2003 Flood

-

2.0

4.0

6.0

8.0

10.0

12.0

14.0

16.0

18.0

20.0

22.0

24.0

26.0

60708090100110120130140

Tallapoosa River Mile

Tim

e to

Pea

k E

leva

tio

n (

hr)

480.00

500.00

520.00

540.00

560.00

580.00

600.00

620.00

640.00

660.00

680.00

700.00

720.00

740.00

Time to Peak

w/ Failure

w/o Failure

R L HARRIS DAM MARTIN DAM

FIGURE 12

Page 13

HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State)

100 200 300 400 500 600 700 800610

611

612

613

614

615

616

617

618

619

620

621

622

623

624

625

626

627

628

629

630

RS = 1.98 IS

Station (ft)

Ele

vatio

n (ft

)

Legend

Ground

Bank Sta

.05 .035 .05

0 100 200 300 400 500 600 700630

631

632

633

634

635

636

637

638

639

640

641

642

643

644

645

646

647

648

649

650

RS = 5.01 IS

Station (ft)

Ele

vatio

n (ft

)

Legend

Ground

Bank Sta

.05 .035

HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State)

PROFILE OF THE TALLPOOSA RIVERFrom R L Harris Dowstream to the Wadley Gauge

595

600

605

610

615

620

625

630

635

640

645

650

655

660

665

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14

Miles Above Wadley Gauge

Ele

vati

on

(m

sl)

HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State)

FRIDAY 753 CFS

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12

SATURDAY 170 CFS

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12

SUNDAY 201 CFS

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12

MONDAY 323 CFS

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12

TUESDAY 140 CFS

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12

WEDNESDAY 182 CFS

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12

THURSDAY 253 CFS

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12

FRIDAY 491 CFS

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12

R L HARRIS GENERATION SCHEDULE

8/25/2000

8/30/2000

8/31/2000

9/1/2000

8/26/2000

8/27/2000

8/28/2000

8/29/2000

SATURDAY 428 CFS

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12

SUNDAY 209 CFS

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12

MONDAY 2,322 CFS

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12

TUESDAY 1,196 CFS

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12

WEDNESDAY 1,653 CFS

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12

THURSDAY 1,123 CFS

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12

FRIDAY 1,014 CFS

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12

SATURDAY 2,461 CFS

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12

R L HARRIS GENERATION SCHEDULE

9/6/2003

9/11/2003

9/12/2003

9/13/2003

9/7/2003

9/8/2003

9/9/2003

9/10/2003

HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State)

25 26 27 28 29 30 31 01 02Aug2000 01Sep2000

601

602

603

604

605

606

607River: Tallapoosa River Reach: Harris to W adley RS: 0.00

Tim e

Sta

ge (

ft)

Legend

3 GEOTUBES

5 GEOTUBES

EXIST RIVER

HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State)

2 MACHINE HOURS

601.00

601.50

602.00

602.50

603.00

603.50

604.00

604.50

605.00

0:00 3:00 6:00 9:00 12:00 15:00 18:00 21:00 0:00

WS

E (

ft)

w/o Pulse Exist

w/ Pulse Exist

w/o Pulse 3 GEO

w/ Pulse 3 GEO

HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State)

2 MACHINE HOURS

-

500

1,000

1,500

2,000

2,500

3,000

0:00 3:00 6:00 9:00 12:00 15:00 18:00 21:00 0:00

FL

OW

(c

fs)

w/o Pulse Exist

w/ Pulse Exist

w/o Pulse 3 GEO

w/ Pulse 3 GEO

HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State)

2 MACHINE HOURS

-

0.50

1.00

1.50

2.00

2.50

3.00

0:00 3:00 6:00 9:00 12:00 15:00 18:00 21:00 0:00

VE

LO

CIT

Y (

fps)

w/o Pulse Exist

w/ Pulse Exist

w/o Pulse 3 GEO

w/ Pulse 3 GEO

HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State)

GeoTube at RM 1.98

614

615

616

617

618

0 200 400 600 800Flow at Notch (cfs)

Ele

vati

on

(m

sl)

2.00

3.00

4.00

5.00

6.00

Vel

oci

ty (

fps)

Elevation

Velocity

HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State)

0 2 4 6 8 10 12 14

0.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

R L Harris Dam downstream to Wadley Plan: 1) USS AUG00 3G 3/4/2004 2) USS AUG00 EX 3/4/2004

Main Channel Distance (mi)

Pow

er T

otal

(lb

/ft

s)

Legend

Power Total 01SEP2000 1045 - USS AUG00 3G

Power Total 01SEP2000 1045 - USS AUG00 EX

Harris to Wadley

HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State)

5.87207*5.83471*

5.79735*5.76 5.722* 5.684* 5.646* 5.608* 5.57* 5.532* 5.494* 5.456* 5.418* 5.38

5.342* 5.304*

5.266* 5.228*

5.19* 5.152*

5.114* 5.076*

5.038* 5.00

4.945* 4.89

4.85* 4.81 4.77230*4.73461*4.69692*4.65923*4.62153*4.58384*4.54615*4.50846*4.47076*4.43307*4.39538*4.35769*4.32

4.28153*4.24307*

4.20461*4.16615*

4.12769*4.08923*

4.05076*4.01230*

3.97384*

R L Harris Dam downstream to Wadley Plan: 1) USS AUG00 3G 3/4/2004 2) Legend

WS 31AUG2000 2045 - USS AUG00 3G

WS -

Ground

Bank Sta

Ground