MODELS OF NUCLEI BLASTS TRACES RECONSTRUCTION Raputa V.F. - PowerPoint PPT Presentation

MODELS OF NUCLEI BLASTS TRACES RECONSTRUCTION Raputa V.F. Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk

1. Problem setting + n 1 a n ( ) − = ≥ − = n aw N w w e , n 1 , a ( 1 ) + Г n ( 1) w m ∞ ∞ = ∫ ∫ σ ( 2 ) ( , ) x y w q x y ( , ,0, , ) w t N w dwdt ( ) 0 0 ∂ ∂ ∂ ∂ ∂ 2 2 q q q q q ( 3 ) + − = + u z ( ) w K K ∂ ∂ ∂ ∂ ∂ x y 2 2 t x z x y

= = δ δ δ − q Q ( ) ( ) ( x y z H ) ( 4 ) t 0 = → → ∞ → ∞ q 0 ; q 0 , x , y , t > z H − − H z H z = α = β 2 2 K U , K U , x z y z w w H 1 − ∫ = ξ ξ ( 5 ) U z ( ) u ( ) d H z z

HU ⋅ ⋅ ⋅ 0 Q H U N ( ) ( 6 ) 0 x σ = ( ,0) x πβ ⋅ 3 2 x H θ θ 2     u r h h ∫ 2 θ = − θ 1 ( 7 )     P x ( , ) Q h ( ) exp dh 2     3 x x x H 1 ( ) + n 1 aU θ = θ = + θ = 0 ( 8 ) , n 1 , aU πβ ⋅ + 1 2 3 0 Г n 2 ( 1) 2 M u r u r ∑   − θ = σ − θ → 2 J ( ) r P x ( , ) min ( 9 )   u r j j j θ ∈ Ω = m 1

2. Surface nuclear explosions Fig. 1. Positions of basic dosemaking tracks

Fig. 2. Dispensation of powers of gamma radiation doses (a nominal unit, at 3 o'clock) along the explosion track axis 29.08.1949

Fig. 4. Reconstruction of the Fig. 3. Reconstruction of the explosion track axis 29.08.1949 explosion track axis The relative dispensation of 29.08.1949 activity: The relative dispensation of Q(z)=1, with z (0, 0.9), activity: Q(z)=10, z (0.9, 4) Q(z)=1, with z (0, 0.4), Q(z)=15, z (4, 8) Q(z)=4, z (0.4, 1.5) Q(z)=10 z (1.5, 8)

Fig. 5. The density field of contamination of Altai territory given at the moment of explosion Cs 137 (a): 1 – 150 mCi/km 2 ; 2 – 50 mCi/km 2 ; 3 – 15 mCi/km 2 ; 4 – 5 mCi/km 2 ; 5 – 1 mCi/km 2 / Reconstruction of a long-range axial track part (b).

3. Subsurface explosion Fig. 6. The plan of radioactive contaminations track (mR/hr) of territories after subsurface explosion 1004 (CHEGAN)

Fig. 7. Reconstruction of an track axis of the explosion 1004 (15.01.1965) The relative allocation of activity: Q (z) =1/z a)Northern branch; b) the Southern branch

Fig. 8. Density of tritium fallout ( мКи / км 2 ) along the track after subsurface nuclear explosion. а ) taking into account effect of deposition б ) only for light impurity

Conclusive On the basis of solutions of transport and diffusion equations of an impurity in atmosphere it is developed few-parametric model of reconstruction of an axial part of a polydisperse impurity track that enables a numerical analysis of the observations data on all axis of a track. Approbation of model has shown quite satisfactory consent with observations data of surface and subsurface nuclear detonations tracks. It is shown, that influence of vertical allocation of activity in a cloud of explosion rather essentially and for its registration is necessary engaging the additional aprioristic information on character and power of explosion.

Спасибо за внимание