Chair of Logistics and Economical Informatics, D. Mendeleev University of Chemical Technology of Russia, Moscow, Russia:

V. M. Aristov, Pro-Rector

Moscow State University of Mechanical Engineering, Moscow, Russia:
O. B. Butusov, Professor, e-mail: butusov-1@mail.ru

Moscow State University of Fine Chemical Technologies named after M. V. Lomonosov, Moscow, Russia:

K. Yu. Kolybanov, Professor

JSC “Gazekrnomika”, Moscow, Russia:

A. S. Kazak, Deputy Chief Executive Officer

Two dimensional centrosymmetrical mathematical models and solving algorithm for interval differential equations of radioactive pollution transport in geological layers and biosphere with uncertainty consideration were developed for the purpose of radioactive waste depository (RWD) depressurization. There was developed the program system “DERAP” (Design of Radioactive Pollution), used for analysis of radioactive pollution (RP) transport in environment with uncertainty consideration. The program system was used for analysis of RP transport after RWD depressurization. Numerical assessments of forecast levels of radioactive biomass pollution have shown that the value of radiation dose significantly depends on the following factors: periods of half-decay of radioactive pollutions; ratio of diffusion of radioactive pollutions from the store; advection of pollutions along the Earth surface, depending on hydrodynamic characteristics of underground waters. Computing experiments were made to establish functional relations between model prediction and model parameter values.

1. Dlouh Z. Disposal of radioactive wastes. Amsterdam : Elsevier, 1982. 266 p.
2. Kafarov V. V., Meshalkin V. P., Gureva L. V. Optimizatsiya teploobmennykh protsessov i sistem (Optimization of heat transfer processes and systems). Moscow : Energoatomizdat, 1988.
3. Kafarov V. V., Meshalkin V. P. Proektirovanie i raschet optimalnykh sistem tekhnologicheskikh truboprovodov (Designing and calculation of optimal systems of industrial pipe-lines). Moscow : Khimiya, 1991. 368 p.
4. Advanced nuclear fuel cycles and radioactive waste management. London : OECD NEA, 2006. 246 p.
5. Kresic N. Hydrology and ground water modeling. New York : Taylor & Francis Group, 2007. 807 p.
6. Gavich I. K. Gidrogeodinamika (Hydrodynamics) Moscow : Nedra, 1988. 349 p.
7. Butusov O. B., Meshalkin V. P., Popov D. V., Tyukaev D. A. Kompyuternoe modelirovanie radioaktivnogo zagryazneniya okruzhayushchey sredy pri razrusheniyakh geologicheskikh khranilishch radioaktivnykh otkhodov s uchetom neopredelennosti (Computer simulation of radioactive pollution of environment during destructions of geological radioactive waste storages taking into account uncertainty). Teoreticheskie osnovy khimicheskoy tekhnologii = Theoretical Foundations of Chemical Engineering. 2013. Vol. 47, No. 6. pp. 639–645.
8. Uncertainty in industrial practice: a guide to quantitative uncertainty management. Edited by E. de Rocquigny, N. Devictor, S. Tarantola. New York : John Wiley & Sons, 2008. 340 p.
9. Bratus A. S., Novozhilov A. S., Platonov A. P. Dinamicheskie sistemy i modeli biologii (Dynamic systems and biology models). Moscow : Fizmatlit, 2010. 400 p.
10. Rouch P. Vychislitelnaya gidrodinamika (Calculating hydrodynamics). Moscow : Mir, 1980. 616 p.