Methods of Sensitivity Theory and Inverse Modeling for Estimation of Source Term and Risk/Vulnerability Areas

Penenko, Vladimir; Baklanov, Alexander

doi:10.1007/3-540-45718-6_7

Cited by 15 publications

(22 citation statements)

References 7 publications

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“…Besides its increasing complexity if a duration of the source is addressed the method would have two important drawbacks. Firstly, as explained in this paper following the suggestions of Penenko and Baklanov (2001), several positions are often acceptable for the source, the problem is not to define a best one but to determine what is possible. Secondly the best position may fail to be good because a best position is still rashly defined in situations of measurements tied to several independent sources.…”

Section: Discussionmentioning

confidence: 99%

“…Backtracking is generally addressed as a sensitivity analysis. The idea that a concentration measurement is influenced by sources leads to using an adjoint transport (Robertson and Persson, 1993;Penenko and Baklanov, 2001). We shall privilege in this paper the other intuitive point of view that the air sampled for the measurement has arrived from somewhere.…”

Section: Inverse Transportmentioning

confidence: 99%

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Inverse transport for the verification of the Comprehensive Nuclear Test Ban Treaty

Issartel

Baverel

2003

Atmos. Chem. Phys.

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Abstract. An international monitoring system is being built as a verification tool for the Comprehensive Test Ban Treaty. Forty stations will measure on a worldwide daily basis the concentration of radioactive noble gases. The paper introduces, by handling preliminary real data, a new approach of backtracking for the identification of sources of passive tracers after positive measurements. When several measurements are available the ambiguity about possible sources is reduced significantly. The approach is validated against ETEX data. A distinction is made between adjoint and inverse transport shown to be, indeed, different though equivalent ideas. As an interesting side result it is shown that, in the passive tracer dispersion equation, the diffusion stemming from a time symmetric turbulence is necessarily a selfadjoint operator, a result easily verified for the usual gradient closure, but more general.

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Section: Discussionmentioning

confidence: 99%

Section: Inverse Transportmentioning

confidence: 99%

Inverse transport for the verification of the Comprehensive Nuclear Test Ban Treaty

Issartel

Baverel

2003

Atmos. Chem. Phys.

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“…The presented environmental modeling concept is based on variational principles and adjoint sensitivity theory (PENENKO 1975(PENENKO , 1981(PENENKO , 2010PENENKO and BAKLANOV 2001;PENENKO et al 2002;PENENKO and TSVETOVA 2007;BAKLANOV 2000BAKLANOV , 2007. An advantage of this concept is that the variational principles give a possibility to develop an integral technology for the models of various processes (hydrothermodynamic, chemical, biological, economical, etc.)…”

Section: General Remarksmentioning

confidence: 99%

Direct and Inverse Problems in a Variational Concept of Environmental Modeling

Penenko

Baklanov

Tsvetova

et al. 2011

Pure Appl. Geophys.

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A concept of environmental forecasting based on a variational approach is discussed. The basic idea is to augment the existing technology of modeling by a combination of direct and inverse methods. By this means, the scope of environmental studies can be substantially enlarged. In the concept, mathematical models of processes and observation data subject to some uncertainties are considered. The modeling system is derived from a specially formulated weak-constraint variational principle. A set of algorithms for implementing the concept is presented. These are: algorithms for the solution of direct, adjoint, and inverse problems; adjoint sensitivity algorithms; data assimilation procedures; etc. Methods of quantitative estimations of uncertainty are of particular interest since uncertainty functions play a fundamental role for data assimilation, assessment of model quality, and inverse problem solving. A scenario approach is an essential part of the concept. Some methods of orthogonal decomposition of multi-dimensional phase spaces are used to reconstruct the hydrodynamic background fields from available data and to include climatic data into longterm prognostic scenarios. Subspaces with informative bases are constructed to use in deterministic or stochastic-deterministic scenarios for forecasting air quality and risk assessment. The results of implementing example scenarios for the Siberian regions are presented.

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“…This point of view classically introduces the adjoint equations for the sensitivity of the detectors. It was developed with various wordings by Marchuk (1964); Pudykiewicz (1998); Enting (2000); Penenko and Baklanov (2001) with privileged applications to radioactive species (Wotawa et al, 2003). Uliasz and Pielke (1991) introduced furthermore in this adjoint context the idea of inverse transport: the air sampled by the detector has originated from somewhere.…”

Section: Reminder About the Measurement Productmentioning

confidence: 99%

Rebuilding sources of linear tracers after atmospheric concentration measurements

Issartel

2003

Atmos. Chem. Phys.

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Abstract. The identification of widespread sources of passive tracers out of atmospheric concentration measurements has become an important challenge of modern meteorology. The paper proposes some mathematical tracks to address the reconstruction of the complex space-time geometry of the sources of linear tracers. The methods are based upon the use of retroplumes. The inverse problem is addressed in a deterministic non statistical frame. The information obtained by local measurements is spread by introducing the concept of illumination. The constraint that the source is non negative is also addressed. The experimental source ETEX1 is rebuilt in order to evaluate an impulse response of the algorithms.

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Methods of Sensitivity Theory and Inverse Modeling for Estimation of Source Term and Risk/Vulnerability Areas

Cited by 15 publications

References 7 publications

Inverse transport for the verification of the Comprehensive Nuclear Test Ban Treaty

Inverse transport for the verification of the Comprehensive Nuclear Test Ban Treaty

Direct and Inverse Problems in a Variational Concept of Environmental Modeling

Rebuilding sources of linear tracers after atmospheric concentration measurements

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