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Development and Application of Cayuga Lake Model (CLM2D)
Rakesh K. Gelda
Upstate Freshwater Institute, Syracuse
1
Technical Briefing (CLTAC) Cayuga Lake Modeling Project May 19, 2014 Albany, NY
2
segments la
yers
inflow
outflow
Two-Dimensional Model
CE-QUAL-W2 (W2; US Army Corps of Engineers): dynamic, laterally averaged, two dimensional (longitudinal-vertical) model
applied successfully to 100s of waterbodies worldwide hydrodynamic submodel predicts water surface elevations, velocities,
and temperatures provides transport framework for a water quality model
Datasets used for model development and application
Model Run Year
Calibration 2013
Validation – primary 2012
Validation – secondary 1998–2006
Hindcast (extended application); probabilistic water quality simulations, if needed
1987–1997, 2007–2011
Model Setup
3
Longitudinal Grid
4 0 m 13 27 40 53 67 80 93 107 120 133 m
Depth X UTM
3.73e+5 3.74e+5 3.75e+5 3.76e+5 3.77e+5 3.78e+5
Y U
TM
4.701e+6
4.702e+6
4.703e+6
4.704e+6
4.705e+6
4.706e+6
L62
1
IL
LSC intake
McKinney's Point
pile clusterLSC discharge
CHWWTP
IAWWTP
48 segments
* Selected locations
Distance from downstream boundary (railroad bridge; km)
051015202530354045505560
Ele
vatio
n (m
)
-20
-10
0
10
20
30
40
50
60
70
80
90
100
110
120
LSC
dis
char
ge
LSC intake
Cayuga-AES power plantintake
Longitudinal-Vertical Grid - Cayuga Lake
48 segments 132 layers 3720 cells
5
Cayuga-AES power plant intake
LSC intake
LSC
dis
char
ge
6
Fall Creek
Cayuga Inlet Six Mile Creek
Taughannock Creek Salmon Creek
LSC discharge
IAWWTP discharge CHWWTP discharge
LSC intake
Cayuga-AES power plant intake and discharge
outflow Inflows and Outflows
5 Tributary Inputs 4 Point Source Inputs 2 Withdrawals 1 Outflow distributed inflows for minor tributaries
Meteorological Data
Meteorological Data Source Availability Notes
Piling Cluster (Cornell University) 10/27/2011–12/31/2013
10 min frequency; missing air T and dew T for 1/3/2013– 5/13/2013 were filled-in with the data from Ithaca Airport
Game Farm Road (Cornell University)*
1987–2013 hourly frequency; missing data (0.8% days) were filled-in with the data from Ithaca Airport
Ithaca Airport (NOAA)* 1996–2013 hourly frequency; missing data (0.2% days)
*Wind speed data from Game Farm Road and Ithaca Airport were adjusted to the height of wind measurement (8 m) at the piling cluster location, according to logarithmic boundary layer.
7
• air temperature, dewpoint temperature, wind speed, wind direction, solar radiation
Wind Distribution (Wind Rose Plots) May−October, 2013
8
WRPLOT View - Lakes Environmental Software
WIND ROSE PLOT:
COMMENTS: COMPANY NAME:
MODELER:
DATE:
1/22/2014
PROJECT NO.:
NORTH
SOUTH
WEST EAST6%
12%
18%
24%
30%
WIND SPEED (m/s)
>= 11.1
8.8 - 11.1
5.7 - 8.8
3.6 - 5.7
2.1 - 3.6
0.5 - 2.1
Calms: 0.02%
TOTAL COUNT:
4416 hrs.
CALM WINDS:
0.02%
DATA PERIOD:
Start Date: 5/1/2013 - 00:00End Date: 10/31/2013 - 23:00
AVG. WIND SPEED:
3.74 m/s
DISPLAY:
Wind SpeedDirection (blowing from)
WRPLOT View - Lakes Environmental Software
WIND ROSE PLOT:
COMMENTS: COMPANY NAME:
MODELER:
DATE:
3/31/2014
PROJECT NO.:
NORTH
SOUTH
WEST EAST4%
8%
12%
16%
20%
WIND SPEED (m/s)
>= 11.1
8.8 - 11.1
5.7 - 8.8
3.6 - 5.7
2.1 - 3.6
0.5 - 2.1
Calms: 8.88%
TOTAL COUNT:
4412 hrs.
CALM WINDS:
8.88%
DATA PERIOD:
Start Date: 5/1/2013 - 00:00End Date: 10/31/2013 - 23:00
AVG. WIND SPEED:
2.68 m/s
DISPLAY:
Wind SpeedDirection (blowing from)
WRPLOT View - Lakes Environmental Software
WIND ROSE PLOT:
COMMENTS: COMPANY NAME:
MODELER:
DATE:
1/29/2014
PROJECT NO.:
NORTH
SOUTH
WEST EAST3%
6%
9%
12%
15%
WIND SPEED (m/s)
>= 11.1
8.8 - 11.1
5.7 - 8.8
3.6 - 5.7
2.1 - 3.6
0.5 - 2.1
Calms: 20.77%
TOTAL COUNT:
4333 hrs.
CALM WINDS:
20.77%
DATA PERIOD:
Start Date: 5/1/2013 - 00:00End Date: 10/31/2013 - 23:00
AVG. WIND SPEED:
3.10 m/s
DISPLAY:
Wind SpeedDirection (blowing from)
Piling Cluster Game Farm Road Ithaca Airport
WRPLOT View - Lakes Environmental Software
WIND ROSE PLOT:
COMMENTS: COMPANY NAME:
MODELER:
DATE:
1/22/2014
PROJECT NO.:
NORTH
SOUTH
WEST EAST6%
12%
18%
24%
30%
WIND SPEED (m/s)
>= 11.1
8.8 - 11.1
5.7 - 8.8
3.6 - 5.7
2.1 - 3.6
0.5 - 2.1
Calms: 0.02%
TOTAL COUNT:
4416 hrs.
CALM WINDS:
0.02%
DATA PERIOD:
Start Date: 5/1/2013 - 00:00End Date: 10/31/2013 - 23:00
AVG. WIND SPEED:
3.74 m/s
DISPLAY:
Wind SpeedDirection (blowing from)
Point Source Inflows
9
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Flow
(m3 s
-1)
0
1
2
32000-2013average
LSC discharge
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Flow
(m3 s
-1)
0.0
0.5
1.0
1.51995-2013average
IAWWTP
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Flow
(m3 s
-1)
0.0
0.1
0.2
0.31999-2002average
CHWWTP
2012 2013
Flow
(m3 s
-1)
0
5
10
152000-2013Cayuga-AES
Point Source Inflow Temperatures
10
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Tem
pera
ture
(°C
)
5
10
152005-2013average
LSC
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Tem
pera
ture
(°C
)
5
10
15
20
25
30
1998-2010, 2013average
IAWWTP
2012 2013
Tem
pera
ture
(°C
)
0
5
10
15
20
25
30Cayuga-AESall years:
CHWWTP discharge temperature = IAWWTP discharge temperature Years < 2012: Cayuga-AES discharge temperature = Model-predicted Cayuga-AES withdrawal temperature + 8.67 °C
Tributary Data
11
Tributary Flow Records Temperature Records
Fall Creek 1925-present 9/21/2011−11/18/2011;
5/13/2013−11/1/2013
Cayuga Inlet 1937-9/30/2011;
6/1/2012-present 5/9/2013−11/13/2013
Salmon Creek 2006-present limited during 2013
Six Mile Creek 1995-present limited during 2013
- unmonitored flow: pro-rated according to Fall Creek flow/watershed area - unmonitored temperatures: adopted from USGS monitored temperature at
Allen Creek near Rochester
12
2013
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Flow
(m3 s
-1)
0
25
50
75
100(a) Fall Creekavg Q = 6.02 m3 s-1
2013
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Flow
(m3 s
-1)
0
25
50
75
100(b) Cayuga Inletavg Q = 2.6 m3 s-1
2013
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Flow
(m3 s
-1)
0
25
50
75
100(c) Salmon Creekavg Q = 3.48 m3 s-1
2013
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Flow
(m3 s
-1)
0
25
50
75
100(d) Six Mile Creekavg Q = 2.05 m3 s-1
Tributary Inflow
Model Performance
13
2013 • depth-profiles of temperature at selected sites and days [observations from
Seabird Casts] • color-contours of temperature at the LSC intake location [observations from
thermistor string] • timeseries plots of temperature at different depths at the LSC intake location
[observations from thermistor string] • timeseries plot of temperature at site 2 [observations from a single thermistor
near surface] • spectral analysis of thermistor string measurements
2012 • color-contours of temperature at the LSC intake location [observations from
thermistor string]
1998−2006 • timeseries plot of temperature at site near piling cluster [observations from a
single thermistor at ~ 1 m deep]
Model Performance – Profiles 2013
14
07May13 18Jun13 25Jul13 20Aug13 17Sep13 15Oct13
(1) s 5 (2) s 5 (3) s 5 (4) s 5 (5) s 5 (6) s 5
RMSE=0.82 RMSE=0.32 RMSE=0.43 RMSE=0.81 RMSE=0.51 RMSE=0.76MAE=0.45 MAE=0.24 MAE=0.32 MAE=0.54 MAE=0.28 MAE=0.44
10:36A 10:39A 11:11A 10:33A 12:10P 10:10A
0 10 20
Elev
atio
n (m
)
-150
153045607590
105120
0 10 20 0 10 20 0 10 20
Temperature (°C)
0 10 20 0 10 20 30
07May13 18Jun13 25Jul13 20Aug13 17Sep13 15Oct13
(1) s 1 (2) s 1 (3) s 1 (4) s 1 (5) s 1 (6) s 1
RMSE=1.39 RMSE=0.32 RMSE=1.24 RMSE=0.44 RMSE=2.57 RMSE=1.15MAE=1.10 MAE=0.32 MAE=1.08 MAE=0.36 MAE=2.57 MAE=1.14
4:48P 3:06P 2:00P 4:22P 10:39A 4:49P
0 10 20
Elev
atio
n (m
)
105
110
115
1200 10 20 0 10 20 0 10 20
Temperature (°C)
0 10 20 0 10 20 30
site 5
site 1
Observations 2013 Observed temperatures at LSC intake location
2013
May Jun Jul Aug Sep Oct
Elev
atio
n (m
)
40
60
80
100
120
3 °C 7 11 16 20 24
15
measurements were made every 30 sec at 5 m depth interval data shown are at every 6 hours at 0.5 m depth interval
thermistor string temperature data at the LSC intake site
Predicted temperatures at LSC intake location
2013
May Jun Jul Aug Sep Oct
Elev
atio
n (m
)
40
60
80
100
120
3 °C 7 11 16 20 24
16
Model Performance – Predictions 2013
predictions shown are at every 6 hours at 1 m depth interval
temperature predictions at the LSC intake site
17
Model Performance – Timeseries
Jun Jul Aug Sep
Tem
pera
ture
(°C
)
0
5
10
15
20
25
30observedpredicted
(b) 100 m el. (depth 17 m)RMSE = 1.8
Jun Jul Aug Sep
Tem
pera
ture
(°C
)
4
6
8
10
12
14
16
18
20
observedpredicted
(c) 90 m el. (depth 27 m)RMSE = 1.0
thermistor string at LSC intake location measurements are shown as 15-min averages and predictions are shown 1/hour
Model Performance – Timeseries
2013
May Jun Jul Aug Sep Oct
Tem
pera
ture
(°C
)
0
5
10
15
20
25
30
observedpredicted
site 2, 2 mRMSE (5/1-10/31) = 1.78 °CRMSE (6/1-10/31) = 1.26 °C
18
single thermistor at site 2, 2 m deep measurements are shown at every 15-min interval and predictions are shown once every hour
19
Model Performance – Spectral Analysis
• comparison of internal wave spectrum generated from thermistor string data and model predictions
• June 1−July 13, 2013; data from 100 m elevation (17 m deep) thermistor
Frequency (d-1)
0.01 0.1 1 10 100
Spe
ctra
l Den
sity
1e-5
1e-4
1e-3
1e-2
1e-1
1e+0
1e+1
Period (d)
0.010.1110100
Spe
ctra
l Den
sity
0.01
0.1
1
10
Period (d)110100
Frequency (d-1)0.01 0.1 1
Spe
ctra
l Den
sity
0.01
0.1
1
(a) observed
(b) predicted
5.3 d 3.3 d
5.1 d3.3 d
Observed temperatures at LSC intake location
2012
Jun Jul Aug Sep Oct Nov Dec
Elev
atio
n (m
)
40
60
80
100
120
3 °C 7 11 16 20 24
20
Observations 2012
measurements were made every 30 sec at 5 m depth interval data shown are at every 6 hours at 0.5 m depth interval
thermistor string temperature data at the LSC intake site
Predicted temperatures at LSC intake location
2012
Jun Jul Aug Sep Oct Nov Dec
Elev
atio
n (m
)
40
60
80
100
120
3 °C 7 11 16 20 24
21
Model Performance – Predictions 2012
data shown are at every 6 hours at 1 m depth interval
temperature predictions at the LSC intake site; model validation
22
Model Performance – 1998-2006
• Temperature observations were made with a single thermistor at a frequency of 1 per hour deployed near piling cluster ~ 1 m deep
• extended validation
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Tem
pera
ture
(°C
)
0
10
20
30
observedpredicted
(a) 1998RMSE = 0.87 °C
• RMSE is for April−October period
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Tem
pera
ture
(°C
)
0
10
20
30
observedpredicted
(b) 1999RMSE = 1.84 °C
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Tem
pera
ture
(°C
)
0
10
20
30
observedpredicted
(c) 2000RMSE = 1.28 °C
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Tem
pera
ture
(°C
)
0
10
20
30
observedpredicted
(d) 2001RMSE = 1.62 °C
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Tem
pera
ture
(°C
)
0
10
20
30
observedpredicted
(a) 2002RMSE = 2.17 °C
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Tem
pera
ture
(°C
)
0
10
20
30
observedpredicted
(b) 2003RMSE = 2.10 °C
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Tem
pera
ture
(°C
)
0
10
20
30
observedpredicted
(c) 2004RMSE = 2.54 °C
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Tem
pera
ture
(°C
)
0
10
20
30
observedpredicted
(d) 2005RMSE = 2.14 °C
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Tem
pera
ture
(°C
)
0
10
20
30
observedpredicted
(e) 2006RMSE = 1.72 °C
23
9/11 9/12 9/13 9/14 9/15 9/16
Win
d Sp
eed
(m s
-1)
-10
-5
0
5
10
N36W
S36E
Visualization of Hydrodynamic Features
First horizontal mode linear internal wave T1 = 80 hours T1/4 = 20 hours upwelling
southern end
24
Visualization of Hydrodynamic Features
• a 58-seconds movie (10 hours of simulation per second of animation); captures internal wave field
• simulation of hydrodynamics in Cayuga Lake - September, 2013 • depiction of mixing mechanisms*
• standing linear internal waves • progressive internal waves • internal wave breaking near shelf; localized intense turbulent
mixing • internal surges and hydraulic jumps (interaction of waves with
topographic features) • formation and propagation of nonlinear internal wave packets
• watch from the point of view of mixing, transport and redistribution of
plankton and nutrients; transport and resuspension of sediments
* details can be found in Fischer et al. (1979); Imberger (1985); Imboden and Wüest (1995); Boegman (2009)
25
southern end
southern end
Cayuga Lake: 8/31/2013−9/26/2013
Model Application
2D Graph 1
X Data
0 10000 20000 30000 40000 50000 60000
Y D
ata
-20
0
20
40
60
80
100
120
140
Col 1 vs Col 2
SRP
Mussels Excretion
Outflow Uptake
At steady-state:
• using the transport framework as an analytical tool • goal: evaluate implications of hypolimnetic mussel excretion for internal SRP
cycling and the consistency of measured SRP profiles • adopt an over simplified, epilimnion-only SRP model
26
conservative behavior for SRP in hypolimnion assumed
Example of a Complex
Water Quality Model
27
Zhang, Culver, Boegman (2008); Lake Erie
Estimation of Excretion Rate
28
• in-situ measurement difficult • measure biomass density and apply a literature value of mass-specific excretion rate
range: 0.084 − 0.66 µmolP/gDW/hr (n=10) (Nalepa and Schloesser 2014)
SRP Simulation Runs
29
Run ID Excretion Rate (mg/m2/d) Specification
Uptake Rate (1/m)
Run 11 estimated depth-specific 0.0
Run 0 estimated depth-specific 0.1
Run 1 50% of estimated depth-specific
0.1
Run 14 estimated depth-specific
0.5
effects of environmental variables on excretion not considered
SRP Simulation Results
• site 3 • selected depth-profiles of SRP; May-September 2013
30
0 25 50
Elev
atio
n (m
)
-150
153045607590
105
SRP (µg/L)
0 25 50 0 25 50 0 25 50 75
21 May, 2013 18 June, 2013 15 July, 2013 17 September, 2013
Run ID Excretion Rate (mg/m2/d) Specification
Uptake Rate (1/m)
Run 11 estimated depth-specific 0.0
SRP Simulation Results • site 3 • selected depth-profiles of SRP; May-September 2013
31
0 7 14
Elev
atio
n (m
)
-150
153045607590
105
Run 0
SRP (µg/L)
0 7 14 0 7 14 21
21 May, 2013 18 June, 2013 15 July, 2013 17 September, 2013
0 7 14
Run ID Excretion Rate (mg/m2/d) Specification
Uptake Rate (1/m)
Run 0 estimated depth-specific 0.1
SRP Simulation Results • site 3 • selected depth-profiles of SRP; May-September 2013
32
0 7 14
Elev
atio
n (m
)
-150
153045607590
105
Run 0Run 1
SRP (µg/L)
0 7 14 0 7 14 0 7 14 21
21 May, 2013 18 June, 2013 15 July, 2013 17 September, 2013
Run ID Excretion Rate (mg/m2/d) Specification
Uptake Rate (1/m)
Run 0 estimated depth-specific 0.1
Run 1 50% of estimated depth-specific 0.1
SRP Simulation Results • site 3 • selected depth-profiles of SRP; May-September 2013
33
0 7 14
Elev
atio
n (m
)
-150
153045607590
105
Run 0Run 1Run 14
SRP (µg/L)
0 7 14 0 7 14 0 7 14 21
21 May, 2013 18 June, 2013 15 July, 2013 17 September, 2013
Run ID Excretion Rate (mg/m2/d) Specification
Uptake Rate (1/m)
Run 0 estimated depth-specific 0.1
Run 1 50% of estimated depth-specific 0.1
Run 14 estimated depth-specific 0.5
SRP Simulation Results
• phytoplankton uptake of SRP in the epilimnion is important
• SRP concentration gradient across the thermocline allows diffusion and causes the characteristic shape of the SRP depth-profile as observed in the lake
• in the deep hypolimnion, SRP appears to be in quasi-steady state
• low levels of SRP in the metalimnion (z > 1% light level) suggest action of a sink process
34
Mussels: Some Thoughts, Issues
• uncertainty in biomass specific excretion rate (0.33 µmolP/gDW/hr)
• effects of environmental variables (temperature, turbidity, phytoplankton, pH, salinity, Ca), substrate, and currents on excretion rate – largely unknown
• longitudinal variations in excretion rate
• full P cycle will be necessary to explain SRP in the lake
• processes to consider: adsorption/desorption; zooplankton excretion; phytoplankton respiration; losses from settling of detritus; bio-deposits (pseudo feces)
35
algal P non algal P SRP/SUP
excretion of SRP
bio-deposits
Δ tissue • other features of metabolism will need to be considered
Summary
• A 2-D hydrodynamic/transport model, CE-QUAL-W2, has been setup and successfully tested for Cayuga Lake
• The model has been calibrated to data collected in 2013 and validated for 2012, 1998-2006; additional testing in future
• This model will be ready to serve as the transport submodel for a forthcoming (Phase 2) water quality model for the lake
• A preliminary application of the model demonstrates the effects, and importance of mussels excretion of soluble reactive phosphorus
36
Further Model Applications
• additional tracer analysis – mussel fluxes
– fate of interflows
– travel times for events
– south tributary transport • base flow
• runoff events
• material budgets
• kinetic insights
37