Long Term Water Temperature Modelling for Fish Habitat

Paper 9213rd International Conference on Current & Future State of Water

Resources and Environment Chennai, India

January 6, 2010

Syed M. A. MoinInternational Joint Commission

Study Purpose To examine long-term data series of

water temperature, from which fish habitat and season variability can be characterized

Also required: synthesis for discharge in tributary streams

and air temperatures

Study Area

Study Area

Figure 3

Key Locations in Study Area

Calibration data availableLocations where water temperature needed

Governing Equations

0

q

xQ

tA

0)()(

fo SSgAxygA

xQV

tQ

𝜕𝑇𝜕𝑡 +𝑢𝑥 𝜕𝑇𝜕𝑥 = 𝑞𝑛𝑒𝑡𝜌𝑤𝐶𝑠𝐴𝑉 (3)

𝑞𝑛𝑒𝑡 = 𝐾(𝑇𝑒 −𝑇) (4)

Solution Procedure Hydrodynamics engine based temperature

model St. Venant’s equations solved by linear finite

elements – FERNS Routines added to FERNS for the solution of

Temperature conservation equation

Key ElementsVelocity, depth, flow fieldsTemperature computations for:

Main stem, tributaries &Embayment

Four-day average air temperature as inflow water temperature

Daily air temperature

Model Features226 nodes, tree based network Cross-sections defined as x-y coords (up to 600

points)3-hour & 24-hr time stepPredictor-corrector hydraulic solutionRunge-Kutta explicit temperature solution at

60 & 150 sec. time steps

Analytical StepsData collection

Hydraulic & channel geometry Water levels at the outletWater temperatures – air and waterWater supplies into the Bay of Quinte

Data synthesisFive running average air temperature to surrogate

water temperaturesRegional and Net Basin Supplies analysis to map and

extend tributary flows

0

5

10

15

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25

30A

pr 1

8

Apr

25

May

02

May

09

May

16

May

23

May

30

Jun

06

Jun

13

Jun

20

Jun

27

Jul 0

4

Jul 1

1

Jul 1

8

Jul 2

5

Aug

01

Aug

08

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15

Aug

22

Aug

29

Sep

05

Sep

12

Sep

19

Sep

26

Oct

03

Oct

10

Oct

17

Oct

24

Oct

31

Nov

07

Nov

14

Tem

pera

ture

Time

Napanee Offshore Calibration 2002

SimulatedObserved

0

5

10

15

20

25

30

Apr

/18

Apr

/25

May

/02

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/09

May

/16

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/23

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/30

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06

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13

Jun/

20

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27

Jul/0

4

Jul/1

1

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Jul/2

5

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/01

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/08

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/15

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/22

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/29

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/05

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/12

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/19

Sep

/26

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/03

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/10

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/17

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/24

Oct

/31

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/07

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/14

Tem

pera

ture

Time

Hay Bay Offshore

Simulated

Observed

0

5

10

15

20

25

30A

pr/1

8

Apr

/25

May

/02

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/09

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/16

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/23

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/30

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06

Jun/

13

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20

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27

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4

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1

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5

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/01

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/08

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/15

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/22

Aug

/29

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/05

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/12

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/19

Sep

/26

Oct

/03

Oct

/10

Oct

/17

Oct

/24

Oct

/31

Nov

/07

Nov

/14

Tem

pera

ture

Time

Spatial Temperature Variation

Node #6

Node #163

0

5

10

15

20

25Ap

r 15

Apr 3

0

May 1

5

May 3

0

Jun

14

Jun

29

Jul 1

4

Jul 2

9

Aug 1

3

Aug 2

8

Sep 1

2

Sep 2

7

Oct 1

2

Oct 2

7

Tem

pera

ture

Time

Outlet Temperature - 2001

ChuKingstonMoinObserved Conway