Low-energy proton accelerators - Istituto Nazionale di ...radprot/index_htm_files/Low-energy...
Transcript of Low-energy proton accelerators - Istituto Nazionale di ...radprot/index_htm_files/Low-energy...
L. Moritz Erice, October 2-9, 2001 1
TRIUMF
Radiation Protection at Low-energy Proton Accelerators
Radiation Protection at Low-energy Proton Accelerators
Lutz Moritz, TRIUMF4004 Wesbrook Mall
Vancouver, B.C. Canada V6T 2A3
E-mail: [email protected]
(Work supported by a grant from the National Research Council of Canada)
L. Moritz Erice, October 2-9, 2001 2
TRIUMF
Overview• Introduction• Generation of prompt radiation
– Interaction of protons with matter– Nuclear interactions– Characteristics of prompt radiation field– Attenuation of the prompt radiation field
• Induced radioactivity production– Magnitude of induced radioactivity– Prediction of residual radiation field
• Environmental Impact– Neutron skyshine– Some aspects of emission of radioactive
effluents• Summary
L. Moritz Erice, October 2-9, 2001 3
TRIUMF
Introduction
LowHigh
1MeV 1GeV 1TeV0.1GeV 0.1TeVIntermediate
10MeV 10GeV 10TeV
Energy scale for proton accelerators:
L. Moritz Erice, October 2-9, 2001 4
TRIUMF
DTL
Many acceleration schemes are available:
Cyclotron
RFQ
Cyclotron
Van de Graaff
Ballista
Cyclotron
Cyclotron
L. Moritz Erice, October 2-9, 2001 5
TRIUMF
Many applications:• Research• Radiotherapy
– protons– neutrons – heavy ions – π-mesons
• Industrial and medical radioisotope production• Waste transmutation• Contraband detection
L. Moritz Erice, October 2-9, 2001 6
TRIUMF
Example: Contraband detector:
‘Contraband’ detector:
13C(p,γ)14N reaction produces gamma rays precisely tuned for absorption by nitrogen
L. Moritz Erice, October 2-9, 2001 7
TRIUMF
Generation of prompt radiation• Interactions of protons with matter
– Low energies: energy loss by ionization– Higher energies: energy loss by nuclear interactions
• Nuclear Interactions– Direct interactions– Pre-equilibrium– Equilibrium → evaporation
• Characteristics of the prompt radiation field
L. Moritz Erice, October 2-9, 2001 8
TRIUMF
Interaction of protons with matter
Range in iron:6.13101.1 pER −×=
For other materials:
Fe
FeFe A
ARRρ
ρ= 0.01
0.1
1
10
100
10 100 1000
Proton energy (MeV)
Prot
on ra
nge
in ir
on (c
m)
Low-energy protons have a definite range, however, at high energies “range” not meaningful
L. Moritz Erice, October 2-9, 2001 9
TRIUMF
Nuclear interaction probability fn(Ep)
0
0.2
0.4
0.6
0.8
1
1.2
0 0.25 0.5 0.75 1
Proton energy (GeV)
Prob
abili
ty o
f int
erac
tion
BeCAlFeCuPb
At high energies every proton undergoes nuclear interaction if target thick enoughAt high energies every proton undergoes nuclear interaction if target thick enough
At high energies attenuation characterized by nuclear interaction length
At high energies attenuation characterized by nuclear interaction length
L. Moritz Erice, October 2-9, 2001 10
TRIUMF
Interaction of protons with matter
Specific ionization is greatest for low-energy protons:
Bragg peakat the end of proton range
Application to Proton therapy
L. Moritz Erice, October 2-9, 2001 11
TRIUMF
Proton therapy facilities
L. Moritz Erice, October 2-9, 2001 12
TRIUMF
Proton therapy facilitiesRange shifter: This wedge shaped piece is adjusted to shift the Bragg peak to match the depth of the tumour within the body.
Range modulator: Used in conjunction with the Range Shifter to target the tumour. This extends the Bragg peak so as to match the overall depth of the tumour.
L. Moritz Erice, October 2-9, 2001 13
TRIUMF
Proton therapy (TRIUMF)
L. Moritz Erice, October 2-9, 2001 14
TRIUMF
Proton therapy (PSI)
L. Moritz Erice, October 2-9, 2001 15
TRIUMF
+
+/-
+/-
Neutrons
Protons
Pions
Muons
Secondary ParticlesProduced:
Neutrinos
Gamma rays
Electrons+/-
Characteristics of prompt radiation field
Above pion threshold (~430 MeV):
L. Moritz Erice, October 2-9, 2001 16
TRIUMF
Nuclear interactions
E
dEddΩ
σ2Directreactions
Evaporation
Schematic spectrum of emitted particlesSchematic spectrum of emitted particles
Direct reactions:•ΔA=0
Elastic scatteringInelastic scatteringCharge exchange reaction
•ΔA≠0Transfer reactionsKnockout reactions
Direct reactions:•ΔA=0
Elastic scatteringInelastic scatteringCharge exchange reaction
•ΔA≠0Transfer reactionsKnockout reactions
L. Moritz Erice, October 2-9, 2001 17
TRIUMF
Multi-step description of nuclear interactions
P0
P1 P2 P3 P4
Q1 Q2 Q3 Q4
Greater complexity
Multi-step direct
Multi-step compound
Initial State
Equilibrium
L. Moritz Erice, October 2-9, 2001 18
TRIUMF
Angular distribution of emitted particles
Multi-step direct: “memory” of initial direction is preserved
Anisotropic angular distribution
Multi-step compound: phase relations preserved
Angular distribution not symmetric about 90o
Evaporation: all memory of initial direction destroyed Isotropic angular distribution
L. Moritz Erice, October 2-9, 2001 19
TRIUMF
Energy spectrum of evaporated particles
nnn
n dEEEEd ⎟⎠⎞
⎜⎝⎛
ΘΘ∝ exp)( 2φ
Θ is the “nuclear temperature”
0.0001
0.001
0.01
0.1
1
0 10 20 30 40 50
Energy (MeV)
d/d
E
2 MeV4 MeV6 MeV8 MeV
Θ
1.0E-05
1.0E-04
1.0E-03
1.0E-02
1.0E-01
0 20 40 60
Proton energy (MeV)
Tota
l neu
tron
yiel
d (p
er p
roto
n)
CAlFePb
L. Moritz Erice, October 2-9, 2001 20
TRIUMF
Interaction of prompt radiation with matter
ONLY nuclear reactionsONLY nuclear reactions
Energy loss by ionization,Coulomb scattering andnuclear reactions, decay
Energy loss by ionization,Coulomb scattering andnuclear reactions, decay
+
+/-
+/-
+/-Energy loss by ionizationEnergy loss by ionization
Practically no interactionPractically no interaction
Energy loss by photo-electric, Compton scattering & pair production
Energy loss by photo-electric, Compton scattering & pair production
L. Moritz Erice, October 2-9, 2001 21
TRIUMF
At low and intermediate energies ONLY high-energy neutrons can penetrate great thickness of concrete
At low and intermediate energies ONLY high-energy neutrons can penetrate great thickness of concrete
Charged particles are ‘ranged out’
Neutron
Proton
Pion
Muon
Interaction of prompt radiation with matter
L. Moritz Erice, October 2-9, 2001 22
TRIUMF
Most complete description of interactions available in simulation codes
• MCNP• LAHET• FLUKA• MARS• Etc.
Will be discussed in a separate lecture
L. Moritz Erice, October 2-9, 2001 23
TRIUMF
One example: 30 MeV radioisotope production cyclotron target caves
L. Moritz Erice, October 2-9, 2001 24
TRIUMF
Example: neutron dose rate in TR30 target maze
• Simulation code correctly accounts for all paths of radiation leakage
• Simple model underestimates dose rate
1.E-08
1.E-06
1.E-04
1.E-02
1.E+00
1.E+02
0 10 20 30
Distance along maze (m)
Neut
ron
dose
rate
(Sv
h-1)
Tesch recipe FLUKA
)(4)(1
21
2
∏=
=n
iii rf
raaHH
3.1
3.1
022.0135.2
exp022.045.0
exp)(
A
rAr
rf
ii
ii +
⎟⎠⎞
⎜⎝⎛+⎟
⎠⎞
⎜⎝⎛
=
L. Moritz Erice, October 2-9, 2001 25
TRIUMF
Need for simple point source, line-of-sight shielding calculations
• Even simple MC calculation still has ‘turn-around’ time of ~1 day
• Quick check to get order of magnitude estimate
• Independent confirmation QA
L. Moritz Erice, October 2-9, 2001 26
TRIUMF
target
proton beamθ
dΩ
r
d(θ)
H fieldfield
sourcesource
shieldshield
Geometry for generalized shielding problem
20 /])(/exp[),()/,,( rdEHdEH pp θλθλθ −=Would like:
L. Moritz Erice, October 2-9, 2001 27
TRIUMF
Restricted, lateral shielding problem
target
proton beam
r
HmaxHπ/2 H
θmθ
d(θ)
fieldfield
sourcesource
shieldshield
2/)/exp()2/( rdHH casc λπ −=Tesch:
L. Moritz Erice, October 2-9, 2001 28
TRIUMF
Values of parameters Hcasc , ρλh (concrete)
1.0E-18
1.0E-17
1.0E-16
1.0E-15
1.0E-14
1.0E-13
10 100 1000Proton energy (MeV)
Hca
sc(9
0o , @1m
)/p (S
v)
0
250
500
750
1000
1250
1500
0 200 400 600
Proton energy (MeV)
Dos
e at
tenu
atio
n le
ngth
(kg
m2 )
O'BrienCarterBraidBanAlsmiller
Based on neutron yield with En>8 MeVBased on neutron yield with En>8 MeV
L. Moritz Erice, October 2-9, 2001 29
TRIUMF
Neutron tenth-value layer, ρλ10 , in concrete (NCRP Report No. 51)
0
50
100
150
0 20 40 60
Incident particle energy (MeV)
Tent
h va
lue
laye
r (g
cm-2
)
(p,n)(He-3,n)(d,n)
L. Moritz Erice, October 2-9, 2001 30
TRIUMF
Equivalent formulations of dose attenuation
102 ///
0
102 λλλ dddeHH −−− ===
λ = attenuation lengthλ2 = half-value layerλ10 = tenth-value layer
30.210ln693.02ln101022 λλλλλ ====
L. Moritz Erice, October 2-9, 2001 31
TRIUMF
Dose attenuation length ρλh (concrete)
0
250
500
750
1000
1250
1500
1 10 100 1000
Proton energy (MeV)
Dos
e at
tenu
atio
n le
ngth
(kg
m-2
)
NCRP No. 51O'BrienCarterBraidBanAlsmiller
L. Moritz Erice, October 2-9, 2001 32
TRIUMF
Neutron attenuation length, ρλn (concrete)
0
500
1000
1500
1 10 100 1000
Neutron energy (MeV)
Atte
nuat
ion
leng
th (k
g m
-2)
High energy limit
Concrete ρ = 2400 kg m-3
L. Moritz Erice, October 2-9, 2001 33
TRIUMF
Thick target neutron yield per incidentproton (En>100 MeV) (FLUKA)
0.1
1
10
100
0.1 1 10
Proton Energy (GeV)
Neu
tron
yie
ld p
er p
roto
n
BeCAlFeCuNbPb
L. Moritz Erice, October 2-9, 2001 34
TRIUMF
Nuclear interaction probability fn(Ep)
0
0.2
0.4
0.6
0.8
1
1.2
0 0.2 0.4 0.6 0.8 1 1.2
Proton energy (GeV)
Prob
abili
ty o
f int
erac
tion
BeCAlFeCuPb
At high energies every proton undergoes nuclear interaction if target thick enoughAt high energies every proton undergoes nuclear interaction if target thick enough
L. Moritz Erice, October 2-9, 2001 35
TRIUMF
0.1
1
10
100
0.1 1 10
Proton Energy (GeV)
Neu
tron
yie
ld p
er p
roto
n BeCAlFeCuNbPb
Thick target neutron yield per interactingproton (En>100 MeV)
L. Moritz Erice, October 2-9, 2001 36
TRIUMF
High-energy neutron yield per interactingproton (En>100 MeV)
0.82 ± 0.030.46 ± 0.03Pb
0.80 ± 0.020.46 ± 0.02Nb
0.76 ± 0.020.44 ± 0.02Cu
0.76 ± 0.020.46 ± 0.02Fe
0.76 ± 0.010.58 ± 0.01Al
0.73 ± 0.020.59 ± 0.02C
0.71 ± 0.010.66 ± 0.02Be
mn0Material
mp
p EE
nEn ⎟⎟⎠
⎞⎜⎜⎝
⎛=
00)(
(E0=1 GeV)
L. Moritz Erice, October 2-9, 2001 37
TRIUMF
Angular distribution of neutrons with En>100 MeV (FLUKA)
Aluminium
1.0E-06
1.0E-05
1.0E-04
1.0E-03
1.0E-02
1.0E-01
1.0E+00
60 80 100 120
Angle (θ )
Neu
tron
yie
ld (n
ste
rad-1
) 0.2 GeV0.3 GeV0.4 GeV0.5 GeV0.6 GeV0.7 GeV0.8 GeV0.9 GeV1.0 GeV
Copper
1.0E-06
1.0E-05
1.0E-04
1.0E-03
1.0E-02
1.0E-01
1.0E+00
60 80 100 120
Angle (θ )
Neu
tron
yie
ld (n
ste
rad-1
) 0.2 GeV0.3 GeV0.4 GeV0.5 GeV0.6 GeV0.7 GeV0.8 GeV0.9 GeV1.0 GeV
Lead
1.0E-06
1.0E-05
1.0E-04
1.0E-03
1.0E-02
1.0E-01
1.0E+00
60 80 100 120
Angle (θ )
Neu
tron
yie
ld (n
ste
rad-1
) 0.2 GeV0.3 GeV0.4 GeV0.5 GeV0.6 GeV0.7 GeV0.8 GeV0.9 GeV1.0 GeV
L. Moritz Erice, October 2-9, 2001 38
TRIUMF
High-energy (En>100 MeV) neutron angular distributionφ (En>0.1) = φ0 exp(-βθ )
0
1
2
3
4
5
6
0 200 400 600 800 1000
Proton energy (MeV)
Angu
lar r
elax
atio
n pa
ram
eter
β
AlCuPb‘Moyer’ value
L. Moritz Erice, October 2-9, 2001 39
TRIUMF
Obtain h0 and λ from FLUKA simulation
1.0E-11
1.0E-09
1.0E-07
1.0E-05
1.0E-03
0 1 2 3 4 5Depth in concrete shield (m)
Dos
e eq
uiva
lent
rate
(pSv
per
pr
oton
)
FLUKABest fit
λ
h0=hint×25
5 m
500 MeV
L. Moritz Erice, October 2-9, 2001 40
TRIUMF
Source term & attenuation length
0.00
0.50
1.00
1.50
2.00
0 500 1000
Incident proton energy (MeV)
h 0 (p
Sv m
2 )
800
900
1000
1100
1200
0 500 1000
Incident proton energy (MeV)A
ttenu
atio
n le
ngth
(kg
m-2
)
‘Moyer’ value
L. Moritz Erice, October 2-9, 2001 41
TRIUMF
Point source, line-of-sight attenuation of prompt radiation field
2
00 /)/exp()exp()()/,,( rd
EE
hEfdEHm
ppnp λβθλθ −−⎟⎟
⎠
⎞⎜⎜⎝
⎛=
Nuclear interaction probability
Nuclear interaction probability
High-energy neutron yield
High-energy neutron yield
Angular dependenceAngular dependence
Exponential AttenuationExponential Attenuation
Geometry factorGeometry factor
L. Moritz Erice, October 2-9, 2001 42
TRIUMF
Comparison (dose equivalent at θ = π/2)500 MeV
1.0E-11
1.0E-09
1.0E-07
1.0E-05
1.0E-03
0 1 2 3 4 5
Depth in concrete shield (m)D
ose
equi
vale
nt ra
te (p
Sv p
er p
roto
n)
FLUKAThis paperTesch
200 MeV
1.0E-12
1.0E-10
1.0E-08
1.0E-06
1.0E-04
0 1 2 3 4 5Depth in concrete shield (m)
Dos
e eq
uiva
lent
(pS
v pe
r pro
ton)
FLUKAThis paperTesch
L. Moritz Erice, October 2-9, 2001 43
TRIUMF
Example: 500 MeV proton beam stop
Beam line 2A test (graphite target)
1.0E-08
1.0E-07
1.0E-06
1.0E-05
-10 -5 0 5 10
Horizontal distance (m)
Dos
e eq
uiva
lent
(pSv
per
pro
ton)
This paperSnoopyFLUKA
1.8 m2.9 m
x
L. Moritz Erice, October 2-9, 2001 44
TRIUMF
Attenuation of neutrons in iron
0.0010.01
0.11
10100
1000
0.01 0.1Neutron energy (MeV)
Cro
ss s
ectio
n (b
arns
)
7.1069.015615611
22
==⋅⎥⎥⎦
⎤
⎢⎢⎣
⎡⎟⎠⎞
⎜⎝⎛
+−
−=⋅⎥⎥⎦
⎤
⎢⎢⎣
⎡⎟⎠⎞
⎜⎝⎛
+−
−=Δ nnnn EEEmMmME
Max. energy loss in elastic collision:
keV
ΔEn insufficient to cross “gap” Build-up of low-energy neutrons
0.001
0.01
0.1
1
10
100
1000
1.0E-06 1.0E-04 1.0E-02 1.0E+00 1.0E+02
Neutron energy (MeV)
Cro
ss s
ectio
n (b
arns
)
L. Moritz Erice, October 2-9, 2001 45
TRIUMF
Interaction of neutrons with hydrogen
0.01
0.1
1
10
100
1.E-111.E-091.E-071.E-051.E-031.E-011.E+011.E+03
Neutron energy (MeV)
Cro
ss s
ectio
n (b
arns
)
TotalElastic
L. Moritz Erice, October 2-9, 2001 46
TRIUMF
Example: ISAC Target/ion Source Shielding (Plan)
Steel
Concrete(low Na) Ion beam
SlitsCu Beam dumpTarget
Proton beam
Concrete
Steel shielding always followed by concrete
Steel shielding always followed by concrete
L. Moritz Erice, October 2-9, 2001 47
TRIUMF
Radioactivity induced in targets and structures
L. Moritz Erice, October 2-9, 2001 48
TRIUMF
Induced total radioactivity production in perspective
Asat ~ 6 TBq/kWAsat ~ 6 TBq/kW
2000 MW
Rule of thumb:
Asat ~ 50 TBq/kWAsat ~ 50 TBq/kW
Accelerator
Fission reactorRule of thumb:
0.1 – 1.0 MW 103-104 TBq103-104 TBq
108 TBq108 TBq
L. Moritz Erice, October 2-9, 2001 49
TRIUMF
Residual fields of components (targets)Total radioactivity produced in thin targets of medium A per unit proton beam current Ip (μA):
AS ≈ 1.5 × 109 Ip Bq per g cm-2
≈ 3×10-4 Ip Sv h-1 @ 1m per g cm-2
= 3×10-2 Ip Sv h-1 @ 1m per 100 g cm-2
AS ≈ 1.5 × 109 Ip Bq per g cm-2
≈ 3×10-4 Ip Sv h-1 @ 1m per g cm-2
= 3×10-2 Ip Sv h-1 @ 1m per 100 g cm-2
For Ip > 1-10 μA~ Remote handling
L. Moritz Erice, October 2-9, 2001 50
TRIUMF
Determining induced radiation fields (I)
Activity from Silberberg and Tsao
Cross Sections
Activity from Silberberg and Tsao
Cross Sections
Input target elementor compound
Input target elementor compound
Select possible productSelect possible product
Look up gamma-raylibrary
Look up gamma-raylibrary
Flux to dose conversion algorithm
Flux to dose conversion algorithm
Add dose contributionAdd dose contribution
Last product?No
Yes
Total dose rate &‘Danger Parameter’Total dose rate &
‘Danger Parameter’
Method due to Barbier, using semi-empirical cross sections
L. Moritz Erice, October 2-9, 2001 51
TRIUMF
Mass distribution of products (Silberberg & Tsao)
(bombardment by 500 MeV protons)
0.01
0.1
1
10
100
1000
0 50 100 150 200 250
Atomic mass of product (summed over Z)
Cro
ss s
ectio
n (m
b)
CuFeAl
0.01
0.1
1
10
100
1000
0 50 100 150 200 250
Atomic mass of product (summer over Z)
Cro
ss s
ectio
n (m
b)
PbU-238
L. Moritz Erice, October 2-9, 2001 52
TRIUMF
Bombardment of U-238 with 500 MeV protons
0.01
0.1
1
10
100
1000
0 50 100 150 200 250
Atomic mass of product (summed over Z)
Cro
ss se
ctio
n (m
b)
LAHET Code SystemSilberberg & Tsao
fragmentation fission
spallation
peripheral
Can also calculate cross sections using MC codes
L. Moritz Erice, October 2-9, 2001 53
TRIUMF
Can explore variation of production cross sections with proton energy
Bombardment of Pb
0.01
0.1
1
10
100
1000
0 50 100 150 200 250
Atomic mass of product (summed over Z)
Cros
s se
ctio
n (m
b)
0.1 GeV0.5 GeV1.0 GeV10 GeV
At low energies production dominated by peripheral reactions
At low energies production dominated by peripheral reactions
At high energies production more or less equal for all product masses (10-20 mb)
At high energies production more or less equal for all product masses (10-20 mb)
L. Moritz Erice, October 2-9, 2001 54
TRIUMF
Determining induced radiation fields (II)
FLUKAFLUKA
‘Star’ density‘Star’ density
‘ω factors’‘ω factors’
Induced radiation field at 1 mfrom selected materials
Induced radiation field at 1 mfrom selected materials
CERN ‘ω factors’(not validated at low-intermediate energies)
Density of high-energy nuclear reactions
L. Moritz Erice, October 2-9, 2001 55
TRIUMF
Determining induced radiation fields (III)Ion chamber
HPGe
Total dose rateTotal dose rate
Gamma-ray spectrumGamma-ray spectrum
Determine partial dose ratesfor each isotope
Determine partial dose ratesfor each isotope
Determine saturation valuesper unit beam current for
each isotope
Determine saturation valuesper unit beam current for
each isotope
Allows calculation of induced radiation fields for arbitrary
irradiation history
Allows calculation of induced radiation fields for arbitrary
irradiation history
Irradiation history
Collimator
Normalize
L. Moritz Erice, October 2-9, 2001 56
TRIUMF
Determining induced radiation fields (III)
Useful for:
Shutdown and maintenance planning
Decommissioning planning
L. Moritz Erice, October 2-9, 2001 57
TRIUMF
Example: build-up and decay of induced radiation field in a 500 MeV cyclotron
0
0.5
1
1.5
0 100 200 300 400 500 600 700 800
Time in days since Jan. 1, 1999
H (m
Gy
h-1)
0
20
40
60
80
100
120
0 100 200 300 400 500 600 700 800
Time in days since Jan. 1, 1999
Beam
cur
rent
( A
)
L. Moritz Erice, October 2-9, 2001 58
TRIUMF
Environmental Impact
Skyshine
Release of effluents
Air
Water
L. Moritz Erice, October 2-9, 2001 59
TRIUMF
Skyshine
r
Source
Receptor
L. Moritz Erice, October 2-9, 2001 60
TRIUMF
Neutron interactions with air
0.001
0.01
0.1
1
10
100
0.01 0.1 1 10 100
Neutron energy (MeV)
Cro
ss s
ectio
n (b
arns
)
N-14(n, elastic)O-16(n, elastic)N-14(n, inelastic)O-16(n, inelastic)
mfp ≈ 80 m
L. Moritz Erice, October 2-9, 2001 61
TRIUMF
Maximum energy loss of neutron by elastic scattering
⎥⎥⎦
⎤
⎢⎢⎣
⎡⎟⎠⎞
⎜⎝⎛
+−
−=Δ 2
1mMmM
EE
n
n
24.01141141
2
=⎥⎥⎦
⎤
⎢⎢⎣
⎡⎟⎠⎞
⎜⎝⎛
+−
−=
22.01161161
2
=⎥⎥⎦
⎤
⎢⎢⎣
⎡⎟⎠⎞
⎜⎝⎛
+−
−=
Many collisions
Nitrogen:
Oxygen:
L. Moritz Erice, October 2-9, 2001 62
TRIUMF
Skyshine
24 rQH
π=
High-energy neutrons
Low-energy neutrons r
First approximation (geometric effect only):
L. Moritz Erice, October 2-9, 2001 63
TRIUMF
Some attenuation for large distances
)/exp(4
)( 2 λπ
rr
QrH −=
With λ of order a few hundred m
L. Moritz Erice, October 2-9, 2001 64
TRIUMF
Effect of attenuation in air
1.0E-06
1.0E-05
1.0E-04
1.0E-03
1.0E-02
1.0E-01
1.0E+00
10 100 1000
Distance from source (m)
Rel
ativ
e do
se ra
te
No attenuation200 m400 m600 m
Attenuation length
L. Moritz Erice, October 2-9, 2001 65
TRIUMF
Spectrum hardens with distance
Dominated by low-energy neutrons
Dominated by high-energy neutrons
L. Moritz Erice, October 2-9, 2001 66
TRIUMF
Importance functions(Alsmiller et al.)
∫= θθθ dEdrEIESrH ),cos,()cos,()( rr
θ
15 mS(E,cosθ)
rDetector
Source
L. Moritz Erice, October 2-9, 2001 67
TRIUMF
Composite neutron leakage energy spectrum(Stapleton et al.)
1.0E-08
1.0E-04
1.0E+00
1.0E+04
1.0E+08
1.E-08 1.E-05 1.E-02 1.E+01 1.E+04
Neutron energy (MeV)
d φ/d
E (M
eV-1
)
72 10,exp −≤⎟
⎠⎞
⎜⎝⎛ −
= ETE
TAE
dEdφ
20010, 7 ≤<= − EEB
dEdφ
1000200,2 ≤<= EEC
dEdφ
max3 1000, EEED
dEd
≤<=φ
L. Moritz Erice, October 2-9, 2001 68
TRIUMF
Equivalent dose as a function of distance(using importance functions & composite spectrum)
1E-18
1E-17
1E-16
1E-15
1E-14
0 200 400 600 800 1000 1200
Distance from source (m)
Dos
e ra
te [(
r+b)
2 H] (
Sv m
2 per
ne
utro
n)
1.1 MeV4.5 MeV12.2 MeV45 MeV125 MeV400 MeV1 GeV
L. Moritz Erice, October 2-9, 2001 69
TRIUMF
Stapleton et al.
2)()](/exp[
)(rb
ErarH c
+−
=λ
rbVirtual source
L. Moritz Erice, October 2-9, 2001 70
TRIUMF
Skyshine parameters
13.2467 ± 3347.1 ± 4.52.24 ± 0.27400
49.1 ± 3.72.41 ± 0.29Mean402Stapleton et al.
14.7617 ± 5746.4 ± 4.42.22 ± 0.2630 000
14.7604 ± 4946.8 ± 4.02.23 ± 0.2410 00014.6597 ± 3646.8 ± 3.12.23 ± 0.18500014.1532 ± 2847.3 ± 3.02.24 ± 0.181000
11.3355 ± 749.2 ± 1.82.44 ± 0.111259.6267 ± 453.1 ± 2.12.81 ± 0.14457.4213 ± 354.2 ± 2.22.94 ± 0.1512.25.7183 ± 253.1 ± 2.52.78 ± 0.164.54.0142 ± 447.1 ± 5.41.96 ± 0.281.1
g (fSv m2) λ (m)b (m)a (fSv m2)EC(MeV)
L. Moritz Erice, October 2-9, 2001 71
TRIUMF
Effective attenuation length in air
0
200
400
600
800
1 10 100 1000 10000 100000
Maximum neutron energy (MeV)
Atte
nuat
ion
leng
th (m
)
L. Moritz Erice, October 2-9, 2001 72
TRIUMF
Effect of “virtual source”
1.0E-10
1.0E-09
1.0E-08
1.0E-07
1.0E-06
1.0E-05
1.0E-04
1.0E-03
10 100 1000
Distance from source (m)
H(r)
/Q (m
-2)
2)()](/exp[
)(rb
ErarH c
+−
=λ
)/exp(4
)( 2 λπ
rr
QrH −=
1.1 MeV
1 GeV
L. Moritz Erice, October 2-9, 2001 73
TRIUMF
Emission of radioactive effluents
Air: difficult to hold up except for vacuum system exhaust, but higher release limits
Water: easier to control (re-circulation, hold-up)
L. Moritz Erice, October 2-9, 2001 74
TRIUMF
Typical active cooling water systems
VacuumPumps Etc.
Target/collimator
ALCW
HALCW
IonExchange
CoolingTower
RawWater
BeamlineMagnets
Heat Exchanger
48V56Co
54Mn65Zn
7Be3H
Evaporation
ALCW: Active, Low-Conductivity WaterHALCW: High-Active, Low-Conductivity Water
RF Cavities
Containment
Closed Sump
L. Moritz Erice, October 2-9, 2001 75
TRIUMF
Design of typical drainage system
Central active sump
Localsump
Ground watersump
To storm sewer (continuously)
To sanitary sewer(as required)
Sub-surfacedrains
Always sampledbefore release
Monitored continuouslySampled periodically
Level alarms
L. Moritz Erice, October 2-9, 2001 76
TRIUMF
Hold-up of vacuum exhaust (RIB facilities, e.g. ISOLDE, ISAC)
primary vacuum
secondary vacuum
operating storage (high, short-lived gamma fields)
long term storage, low level, high radio-toxicity
to filtered exhaust
Charcoal filter
L. Moritz Erice, October 2-9, 2001 77
TRIUMF
Design of typical ventilation system
Roughing Filter
HEPA Filter
Operating Fan
Stand-by Fan
Radioactive Air
7Be
11C 41Ar3H
RadioactivityMonitor
Low pressureLeakage
Dampers
Leakage
L. Moritz Erice, October 2-9, 2001 78
TRIUMF
0
0.2
0.4
0.6
0.8
1
0 5 10 15 20 25
Ventilation rate
Act
ivity
in ro
om
0
0.2
0.4
0.6
0.8
1
0 5 10 15 20 25
Ventilation rate
Activ
ity e
xhau
sted
Effect of ventilation rate
Number of air changes per half-life
Saturation Activity
Higher ventilation rates reduce the radioactivity level in the irradiation room but increase the amount of radioactivity exhausted
Higher ventilation rates reduce the radioactivity level in the irradiation room but increase the amount of radioactivity exhausted
L. Moritz Erice, October 2-9, 2001 79
TRIUMF
Dose From Effluents ReleasedImmersion P(e)19Inhalation P(i)19
SourceSource
AtmosphereAtmosphere
Surfacewater
Surfacewater
Vegetatedsoil
Vegetatedsoil
CropsCrops
Aquaticanimals
Aquaticanimals
Aquaticplants
Aquaticplants
Criticalgroup
Criticalgroup
P01
External P79
External P39
P27
P26
P14
P13
P12
P69
P49
P034
Immersion P(e)29
P02
Ingestion P(i)29
0
2
1
3
4
6
7
9Sv/Bq
L. Moritz Erice, October 2-9, 2001 80
TRIUMF
Screening Models(NCRP Report No. 123)
Source Concentration in medium
Screening factor
Dose
Transport models
Pre-calculated committed effective dose per unit concentration
× =
L. Moritz Erice, October 2-9, 2001 81
TRIUMF
Three levels of screening:
Level I: assume radionuclide concentration at point of emission
Level I: assume radionuclide concentration at point of emission
Level II: dispersion in atmosphere or surface water
Level II: dispersion in atmosphere or surface water
Level III: more definitive pathway analysis (air only)
Level III: more definitive pathway analysis (air only)
if Dose < Dose Limit then no further calculation
if Dose < Dose Limit then no further calculation
Increasing sophistication
L. Moritz Erice, October 2-9, 2001 82
TRIUMF
Atmospheric dispersion
⎟⎟⎠
⎞⎜⎜⎝
⎛ −= 2
2
01 2exp
zzy
hU
fPσσπσ
hσz
U
x
xx
y 0001.0108.0
+=σ
xx
z 0025.0106.0
+=σ
Diffusion parameters
L. Moritz Erice, October 2-9, 2001 83
TRIUMF
Effect of downdraft near exhaust point
Plume:
Downdraft:
U
W0(1-ET)X0(1-ET)X0
ETX0ETX0
5.10.1;58.158.2 00 ≤≤⎟⎠⎞
⎜⎝⎛−=
UWfor
UWET
0.55.1;06.030.0 00 ≤≤⎟⎠⎞
⎜⎝⎛−=
UWfor
UWET
ET
L. Moritz Erice, October 2-9, 2001 84
TRIUMF
Effect of “entrainment”
1.0E-07
1.0E-06
1.0E-05
1.0E-04
1.0E-03
1.0E-02
1.0E-01
10 100 1000 10000 100000Downwind distance (m)
Dilu
tion
fact
or P
01/f
(s m
-3)
W0/U=1.0W0/U=1.5W0/U=5.0
U = 2 m s-1
h = 15 m
L. Moritz Erice, October 2-9, 2001 85
TRIUMF
Summary
• Some specific application: – proton therapy
• Generation of prompt radiation– direct interactions, evaporation
• Need for point-source, line-of-sight models– models at intermediate energies
• Generation of induced radioactivity– semi-empirical recipes, measurements
• Environmental impact– skyshine, emission of radioactive effluents
Have described: