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Formation of environment protection strategy for risk and uncertainty diminution ( EnviroRisk project) V.V. Penenko and E.A. Tsvetova ICM&MG SB RAS Novosibirsk 1.Optimal design Satisfying the criteria and limitations of ecological


  1. Formation of environment protection strategy for risk and uncertainty diminution ( EnviroRisk project) V.V. Penenko and E.A. Tsvetova ICM&MG SB RAS Novosibirsk

  2. 1.Optimal design • Satisfying the criteria and limitations of ecological safety and sustainability, social and economic suitability and effectiveness. • Goal is to define the admissible values of parameters for the entire period of functioning the object. • Risk assessment of “beyond-the-project” situations

  3. 2. Optimal management • The main goal is to find the mechanisms of source parameters regulation via the feedback in accordance with the given criteria and restrictions in tracking the situation development . • Parameters of sources might be changed with time.

  4. 3. Ecological audit • The goal is to answer the question if the safety norms are fulfilled or not • if not – revealing unknown ( unrecorded) sources – parameters correction • Risk assessment of “beyond-the-project” situations

  5. Universal technology for environmental modeling (1) • Functionals – goal and quality – restrictions: equality-type, inequality-type – observational – augmented (listed above+ the model in variational form)

  6. General form of functionals ∫ r r r Φ ϕ = ϕ χ = ( ) ( ) ( , ) , 1 ,..., F x t dDdt k K k k k D t F are the functions of the given form, k χ ∈ ℑ χ * ( ) dDdt D , D are Radon’s measures on . k t k t Quality functionals ∫ r r r r r r Φ ϕ = ϕ − ϕ ϕ − ϕ χ T ( ) ( ) M ( ) ( x , t ) dDdt , k m m k D t “Measurement” functionals K ∑ ∫ r r r r r r Φ ϕ = ϕ δ − ∈ m ( ) ( x , t ) ( x x ) dDdt , x D mk mk t = k 1 D t Restriction functionals r r r r ϕ ≤ ϑ ϕ ≤ ( x , t ) N , ( ( x , t ) 0 distributive constraints k ∫ r r r Φ ϕ = ϑ ϕ + ϑ ϕ χ r ( ) ( ( ) ( ) ) ( x , t ) dDdt k k k k D t

  7. Universal technology for environmental modeling (2) • Optimal numerical schemes constructed with the help of variational principle for bistationary conditions of augmented functional • A set of algorithms of forward and inverse modeling for each augmented functional • Sensitivity and uncertainty functions and sensitivity relations for each set of functionals !! Data compression to exclude the inner degrees of freedom

  8. Universal technology for environmental modeling (3) • Algorithms for development of optimal strategies in space of external degrees of freedom with respect to goal functionals by means of sensitivity relations analysis

  9. Priorities ( as formulated in 2007) • Uncertainty assessment • Atmospheric chemistry ( gases + aerosols) – algorithms for stiff systems – problem of non-consistency: monotonizators, self- limiting diffusion for divers components – chemical data assimilation ( adjoint problems and sensitivity algorithms) – adaptive algorithms • Targeting for data assimilation, risk assessment • Revealing unknown sources • Optimal problems for design of sustainable development strategy

  10. Siberian Federal District. Tomsk industrial region as aggregated source of pollution Animation

  11. Acknowledgements The work is supported by •RFBR Grant 07-05-00673 • Presidium of the Russian Academy of Sciences Program 16 •Department of Mathematical Science of RAS Program 1.3. •European Commission contract No 013427

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