models and methods for assessment of interactions in a city-region system

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ELS AND METHODS r assessment of interactions a city-region system Penenko Vladimir Tsvetova Elena

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MODELS AND METHODS for assessment of interactions in a city-region system. Penenko Vladimir Tsvetova Elena. Interdisiplinary project of SD RAS “Ecological problems of Siberian cites”. Modeling aspects. 1. Assessment of mutual risks and unintended pollutants - PowerPoint PPT Presentation

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Page 1: MODELS AND METHODS for assessment of interactions  in a city-region system

MODELS AND METHODS

for assessment of interactions in a city-region system

Penenko VladimirTsvetova Elena

Page 2: MODELS AND METHODS for assessment of interactions  in a city-region system

1. Assessment of mutual risks and unintended pollutants exchange between the cities of the Siberian Federal District.2. Observability studies for monitoring system situatedin the Siberian cites ( SibAeroNet). Connection with risk domains (jointly with Institute of atmospheric optics SD RAS)3. Tracing of long-distance transport of biological aerosols. Combination of Eulerian and Lagrangean approaches, forward and inverse modeling ( jointly with Federal Center «Vector» and IOA SD RAS)4. Revealing of peculiarities of mesoclimates in Siberian cities ( Novosibirsk as an example)5. Atmospheric chemistry ( jointly with the Institute of chemical kinetics and combustion SD RAS)

Interdisiplinary project of SD RAS

“Ecological problems of Siberian cites”

Modeling aspects

Page 3: MODELS AND METHODS for assessment of interactions  in a city-region system

ModelsHydrodynamics and transport of pollutants:• global scale• regional scale• meso and city scale.

Atmospheric chemistry:• methane & sulfur & nitrogen cycle• + acetaldehyde cycle

Data assimilation system

Page 4: MODELS AND METHODS for assessment of interactions  in a city-region system

M a t h e m a t i c a l m o d e l f o r g e n e r a l o u t l o o ka n d c r e a t i o n o f a l g o r i t h m c o n s t r u c t i o n

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Page 5: MODELS AND METHODS for assessment of interactions  in a city-region system

Model of transport and transformation

if i s t h e s o u r c e t e r m

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Page 6: MODELS AND METHODS for assessment of interactions  in a city-region system

Extended functional for variational principles

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solution of forward and inverse problems;

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Page 7: MODELS AND METHODS for assessment of interactions  in a city-region system

Variational form of hydrodynamic modeljoint with transport and transformation models

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Page 8: MODELS AND METHODS for assessment of interactions  in a city-region system

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Basic form for advective-diffusive operators

Page 9: MODELS AND METHODS for assessment of interactions  in a city-region system

General algorith for combinationof forward and inverse modeling

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Page 10: MODELS AND METHODS for assessment of interactions  in a city-region system

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Algorithms of sensitivity theory

Page 11: MODELS AND METHODS for assessment of interactions  in a city-region system

Data assimilation algorithms:Minimizing joint uncertainties ofmodels, measurements and data

• 4D-var global in time ( iterative);

• Direct 4D-var adaptive with adjoint problem, step by step;

• Direct 4D-var adaptive fast data assimilation (direct minimization of cost functional with respect to state function)

11

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k

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t t t

Page 12: MODELS AND METHODS for assessment of interactions  in a city-region system

Risk functions

Fragment of scenario

Page 13: MODELS AND METHODS for assessment of interactions  in a city-region system

Risk functions

Page 14: MODELS AND METHODS for assessment of interactions  in a city-region system

Risk functions

Page 15: MODELS AND METHODS for assessment of interactions  in a city-region system

Risk functions

Page 16: MODELS AND METHODS for assessment of interactions  in a city-region system

Risk functions

Page 17: MODELS AND METHODS for assessment of interactions  in a city-region system

Assessment of informativityof the monitoring system “SibAeroNet” with the help of numerical modeling

TomskToryMondyUssuriiskYakutskEkaterinburgKhanti-MansiiskUlan-UdeKrasnoyarsk

Page 18: MODELS AND METHODS for assessment of interactions  in a city-region system

1

11

1

2

3

4

5

9 18 0.57 0.16 0.055 0.014 0.0053 0.0012 0.00051 0.0001

Ekaterinburg

1

1

1

2

2

3457

9 18 0.57 0.16 0.055 0.014 0.0053 0.0012 0.00051 0.0001

Yakutsk

1

1

1

2

2

3

3

45

7

9 18 0.57 0.16 0.055 0.014 0.0053 0.0012 0.00051 0.0001

Khanti-Mansiisk

1

11

2

2

3

3

4

66

9 18 0.57 0.16 0.055 0.014 0.0053 0.0012 0.00051 0.0001

Krasnoyarsk

1

1

2

23

3

4

5

67

9 18 0.57 0.16 0.055 0.014 0.0053 0.0012 0.00051 0.0001

Mondy

1

1

1

3

23

3

3

4

5

6

7

9 18 0.57 0.16 0.055 0.014 0.0053 0.0012 0.00051 0.0001

Tomsk

1

1

1

2 23

4 6

9 18 0.57 0.16 0.055 0.014 0.0053 0.0012 0.00051 0.0001

Tori

1

1

2

2

3

4

76

9 18 0.57 0.16 0.055 0.014 0.0053 0.0012 0.00051 0.0001

Ulan-Ude1

1

1

2

2

3

3

4

45

9 18 0.57 0.16 0.055 0.014 0.0053 0.0012 0.00051 0.0001

Ussuriisk

Page 19: MODELS AND METHODS for assessment of interactions  in a city-region system

1

1

1

1

2 23

34

5

6

7 16 0.55 0.14 0.053 0.012 0.0051 0.001

Joint estimation of observability domains and informativity measures for monotoring system

AeroSibNet

Period of 1-14 June 2002

Page 20: MODELS AND METHODS for assessment of interactions  in a city-region system

1 1

21

1

2

3

2

2

2

3

2

3

3 3

4

3

4

4

5

5

6

6

6

7

7

8

89

10 109 98 87 76 65 54 43 32 21 1

1

1

1

1

2

2

2

3

2

4

4

5

5

6

6

7

78

10 109 98 87 76 65 54 43 32 21 1

Assessment of AeroSibNet informativity for revealingpotentially dangerous sources of pollutants

Significance level > 0.001

Significance level > 0.0001

Conclusion: AeroSibNet system in the combination with inverse modeling setcan be used for revealing the sources of specific pollutants

Page 21: MODELS AND METHODS for assessment of interactions  in a city-region system

1

1

11

1

1

1

3

3

3

3

5

5

7

7

9

11E-05

30.0001

50.001

70.01

90.1

111

Analysis of receptor-source interaction

Risk function for Novosibirsk regiondemonstrates the domainof potentially dangerouspollutant sources

Receptor near Novosibirsk

Page 22: MODELS AND METHODS for assessment of interactions  in a city-region system

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10009008007006005004003002001000

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10009008007006005004003002001000

pressure, mb

Backward trajectories, 31.05-1.05.2002

Receptor coordinates 54.23 N, 82.09 E, 850 mb , 31.05.2002, 08.00 GMT

NovosibirskAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA

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10009008007006005004003002001000

F

10009008007006005004003002001000

pressure, mb

Backward trajectories, 31.05-1.05.2002

Receptor coordinates 54.23 N, 82.09 E, 700 mb , 31.05.2002, 08.00 GMT

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FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF 10009008007006005004003002001000

F

10009008007006005004003002001000

pressure, mb

Backward trajectories, 31.05-1.05.2002

Receptor coordinates 54.23 N, 82.09 E, 400 mb , 31.05.2002, 08.00 GMT

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10009008007006005004003002001000

F10009008007006005004003002001000

pressure, mb

Backward trajectories, 31.05-1.05.2002

Receptor coordinates 54.23 N, 82.09 E, 500 mb , 31.05.2002, 08.00 GMT

Tracingof long-distance transport

of biological aerosols

Page 23: MODELS AND METHODS for assessment of interactions  in a city-region system

Mathematical modeling of atmospheric circulation and transport of pollutantsin the Novosibirsk region

Page 24: MODELS AND METHODS for assessment of interactions  in a city-region system

x

y

0 50 1000

10

20

30

40

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60

70

80

90

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57

The Novosibirsk industrial region

Temperatureand circulation

Page 25: MODELS AND METHODS for assessment of interactions  in a city-region system

x

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The Novosibirsk industrial region

Page 26: MODELS AND METHODS for assessment of interactions  in a city-region system

Conclusion

The theoretical background and some elements of computational technology are developedfor studies of interaction in the region-city systemin direct and feedback regimes.

The construction of modeling tools are based on the variational principles in the combination with splitting technique and sensitivity theory

Page 27: MODELS AND METHODS for assessment of interactions  in a city-region system