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

( 1 ) ( 2 ) ( 3 )

( )

1

, 1 , ( 1)

n n aw m

a n N w w e n a Г n w

+ −

= ≥ − = +

( , ) ( , ,0, , ) ( ) x y w q x y w t N w dwdt σ

∞ ∞

= ∫ ∫

2 2 2 2

( )

x y

q q q q q u z w K K t x z x y ∂ ∂ ∂ ∂ ∂ + − = + ∂ ∂ ∂ ∂ ∂

( 4 ) ( 5 )

( ) ( ) ( )

t

q Q x y z H δ δ δ

= =

−

; 0 , , ,

z H

q q x y t

>

= → → ∞ → ∞

2 2

, , 1 ( ) ( )

x z y z H z

H z H z K U K U w w U z u d H z α β ξ ξ − − = = = − ∫

( 6 ) ( 7 )

3

( ) ( ,0) 2 HU Q H U N x x x σ πβ ⋅ ⋅ ⋅ = ⋅

2 2 1 2 3 1

( , ) ( ) exp H h h P x Q h dh x x x H θ θ θ θ     = −        

∫

u r

( )

1 1 2 3

, 1 , 2 ( 1)

n

aU n aU Г n θ θ θ πβ

+

= = + = ⋅ +

2 2 1

( ) ( , ) min

M j j j m

J r P x

θ

θ σ θ

− ∈ Ω =

  = − →  

∑

u r

u r u r

( 8 ) ( 9 )

• 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. 3. Reconstruction of the

explosion track axis 29.08.1949 The relative dispensation of activity: Q(z)=1, with z (0, 0.4), Q(z)=4, z (0.4, 1.5) Q(z)=10 z (1.5, 8)

• Fig. 4. Reconstruction of the

explosion track axis 29.08.1949 The relative dispensation of activity: Q(z)=1, with z (0, 0.9), Q(z)=10, z (0.9, 4) Q(z)=15, z (4, 8)

• Fig. 5. The density field of contamination of Altai territory given

at the moment of explosion Cs137 (a): 1 – 150 mCi/km2 ; 2 – 50 mCi/km2; 3 – 15 mCi/km2; 4 – 5 mCi/km2; 5 – 1 mCi/km2 / 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/км2) 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

• f 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

• bservations 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.

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