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Line 106: Line 106:
by limiting the release rate to:
by limiting the release rate to:
I, Q4  e    1500 = rem /vr
I, Q4  e    1500 = rem /vr
                  -,        ; ',.
_t . t where:
_t . t where:
It=    The total body dose factor due to ga==a emissions for each identifi,ed noble gas radionuclide, in =re=/yr per uCi/s from Table 3.1.
It=    The total body dose factor due to ga==a emissions for each identifi,ed noble gas radionuclide, in =re=/yr per uCi/s from Table 3.1.
Line 158: Line 157:
                                                                                                                                                   =      aa    ==        =
                                                                                                                                                   =      aa    ==        =
1 n        .
1 n        .
                         -w
                         -w e
                                                            .                                                      . -                          - - -                    ;,
e
                                                                                                                             - -a g
                                                                                                                             - -a g
:::    ".)  .- >,-. - -                      -
:::    ".)  .- >,-. - -                      -
Line 184: Line 181:
                                                             .=*      c=                                                                                      *    .**
                                                             .=*      c=                                                                                      *    .**
:s.,
:s.,
s.J
s.J 4                  m.
                                                  ;
4                  m.
m,      m e m N N
m,      m e m N N
                                                                                       ,      ,. .          .      .m.
                                                                                       ,      ,. .          .      .m.
Line 240: Line 235:
                                                                                                                                                                         ; :o o.
                                                                                                                                                                         ; :o o.
G
G
                                                                                                                                                                                        ;
                                         -. :c c = = :: = m                                                          - - - ,                            - e                                :
                                         -. :c c = = :: = m                                                          - - - ,                            - e                                :
                                         "t            a      i      .                e    i        e      i      e      i        e              t      e            == %        ':..
                                         "t            a      i      .                e    i        e      i      e      i        e              t      e            == %        ':..
Line 380: Line 374:
               ... s.. v.  ;=. 3 ; . ,.
               ... s.. v.  ;=. 3 ; . ,.
                               .. .          .A. . g            .
                               .. .          .A. . g            .
                                                                    ...;.
                                                                                 ..g    ,;  ;:g?w., ,;
                                                                                 ..g    ,;  ;:g?w., ,;
                                                                                           . ... ..              ?.-.,g;..?...  .
                                                                                           . ... ..              ?.-.,g;..?...  .
Line 392: Line 385:
       .s                                .
       .s                                .
                                                                                                             .      .e.    ..
                                                                                                             .      .e.    ..
                                                                    ...; ..
                                                                                                             . 1: ..                    .. .:. .-    .
                                                                                                             . 1: ..                    .. .:. .-    .
                                            . .:. ..                  ..: ..                              : :: .;                        ..: ..
             .                                    . ..              ......        .                        .... ..                    ...e.        .;
             .                                    . ..              ......        .                        .... ..                    ...e.        .;
                                                                                                                                             ...: .. g. ,.
                                                                                                                                             ...: .. g. ,.
        .                                . .. .                          ... ..                                ..;. . . ,..                        ..
                                                                                                                                       ..2. . ....
                                                                                                                                       ..2. . ....
                                               .e.    ..                  .. ..                                  .. ..                        .        , s.
                                               .e.    ..                  .. ..                                  .. ..                        .        , s.
                                        ; .; .,
                                         . . . .        6
                                         . . . .        6
                                                                     *. y
                                                                     *. y
Line 444: Line 433:
                                                       .4
                                                       .4
                                                                           ...    ...4                      *. .. ...a
                                                                           ...    ...4                      *. .. ...a
                                                                                                                                        . ;; . .
                                                                                                                                         .... .i 3
                                                                                                                                         .... .i 3
         -                                    . .-e.
         -                                    . .-e.
Line 514: Line 502:
                                           .. .r                  ., =. ... ..N O. ......                        . 3:..        .        .
                                           .. .r                  ., =. ... ..N O. ......                        . 3:..        .        .
                                                                                                                                               ....          . . t , .2. .. $
                                                                                                                                               ....          . . t , .2. .. $
    ' *. ;
                     ..)=i-03 4.
                     ..)=i-03 4.
t'e
t'e
Line 593: Line 580:
3          .  .! a f a
3          .  .! a f a
                                                                                                                                                     . ...      ,.!!i-i!
                                                                                                                                                     . ...      ,.!!i-i!
                                                                                                                                                              ..,.;.. .
     . t*7        t .0 3 2-.                                3.0. i-! 5                  '.0 02Ti              *i0        afa          'tr 0171        2.325-25
     . t*7        t .0 3 2-.                                3.0. i-! 5                  '.0 02Ti              *i0        afa          'tr 0171        2.325-25
     ....-        - ==--            '...?  ..2..'. .......................
     ....-        - ==--            '...?  ..2..'. .......................
Line 643: Line 629:
I                                                    7 Rt=R [X/Q] + RG (D/Q] + RC[D/Q,X/Q]+R{3(D/Q,X/Q]+Rg g                                [D/Q,I/Q]
I                                                    7 Rt=R [X/Q] + RG (D/Q] + RC[D/Q,X/Q]+R{3(D/Q,X/Q]+Rg g                                [D/Q,I/Q]
where:
where:
I InhalationPathwayFactor,R[[X/Q]
I InhalationPathwayFactor,R((X/Q]
r R'i [X/Q] = K' (3R)3 (DFAJ) a  (3re3/yr per uCi/3 )
r R'i [X/Q] = K' (3R)3 (DFAJ) a  (3re3/yr per uCi/3 )
where:
where:
Line 1,055: Line 1,041:
r o                                                                                                                                                        W t
r o                                                                                                                                                        W t
c              1 E
c              1 E
                                                                                  ;
1
1
: C                                t              V                      W                J W
: C                                t              V                      W                J W
Line 1,077: Line 1,062:
M.              .      N.        ci.          O.      O.        =. =. C.                      T.        N.      A.            .
M.              .      N.        ci.          O.      O.        =. =. C.                      T.        N.      A.            .
M        - - - - - = =
M        - - - - - = =
b
b I                    O
                ;
I                    O
                                                       .O.
                                                       .O.
O
O
Line 1,111: Line 1,094:
b          ''i        T          e"7                    == N                  MM                    T          N N                  =        N .=                N          N C            f            C                                            C                                  ,0          O                                                          O e                  WI
b          ''i        T          e"7                    == N                  MM                    T          N N                  =        N .=                N          N C            f            C                                            C                                  ,0          O                                                          O e                  WI
                                                       .C.      _C        _O          -            _O        _O          _ -                _O        _O        _O        _C        .C.      -          _O c            k 1          .          I          1          1          I          i            i        !        &          1          1        I        I        I          I I                =          0                                  O O = 0                                      = = 0 = O c 0 A            l    Ml                      .        .c          .O                      -                                                                                                        .O.
                                                       .C.      _C        _O          -            _O        _O          _ -                _O        _O        _O        _C        .C.      -          _O c            k 1          .          I          1          1          I          i            i        !        &          1          1        I        I        I          I I                =          0                                  O O = 0                                      = = 0 = O c 0 A            l    Ml                      .        .c          .O                      -                                                                                                        .O.
di            X          X          X            X          X          X          X            X        X        X        X          X          X        X        X          X
di            X          X          X            X          X          X          X            X        X        X        X          X          X        X        X          X l
                .,, ;
l
                                     ~
                                     ~
                                     **1 N
                                     **1 N

Latest revision as of 11:56, 16 March 2020

Offsite Dose Calculation Manual.
ML19274F273
Person / Time
Site: North Anna  Dominion icon.png
Issue date: 06/28/1979
From: Hopper D, Kelland J
VIRGINIA POWER (VIRGINIA ELECTRIC & POWER CO.)
To:
Shared Package
ML19274F272 List:
References
NUDOCS 7907090310
Download: ML19274F273 (74)


Text

. .

.- ~.

5.? . - CDCi

? age 1 of 3 06-28-79 7IRGINIA ELEC*RIC AND ?CLTR COMPANT NCR"~d ANNA PC*a'ER STATION OFFSITE DCSE CALCUIATION MANUAL U'JITS I AND 2 Fages: 1-3 and OECM 1-9 i

g%Q - b

.s FOR Reil!EW -

e .

REC 2'OfE';D

. A??ROVAL: ['. ehe; /dCI A??RC Fr.3 3T. w" CHAIi?4a$ STATION NUCLEAR SAFITY AND OPERATING CC1011TTEE DATE: 06-28-79 SAFETY fiELATED 7907090gg,

E.P . - CDCi Page 2 of 3 06-28-79 NOR"".4 A'?NA PCh*ER STATION OFFSITE DOSE C.U C"I.ATION MANUAL

REFERENCES:

NORT*4 ARIA ICENICAL SPECI?!C. CIONS 10 C n PART 20.106 10 C n ?A2T 30.3'.a 10 C n ? ART 50.36a 10 C H PART 50 Appendix I NRC REGULATORY GUIDE 1.21 (REV. 1)

NRC RFGULCORY GUIDE 1.109 (RE7. 1)

NEC REGULA! CRY CUIDE 1.111 (RI7.1)

NCREG 0133 OCTOBER 1973 IMPLEMENTATICN:

The provisions in the North Anna Cffsite Dose Calculation Manual vill be i=ple=ented on approval by the NRC of Raquest for Technical Specification Change No.17, dated March 6,1979 (S.N.402/071178) .

H.P .- ODCi Page 3 of 3 06-28-79 NORT.4 ANNA ?C'4ER STA!!ON OF? SITE DOSE CALCL'LCION M.u'UAL INDEX Section No. Date

1. Introduction.......................... ..... 06-29-79
2. Liquid Effluent Release Rata................ 06-23-79
3. Gaseous Effluent Release Race................ 06-28-79
a. Liquid Effluent Dese Calculation............. 06-29-79 3.

Gaseous Effluent Dose Calculation............ 06-28-79

6. Liquid Ef fluent Des e Proj ection. . . . . . . . . . . . . . 06-29-79
7. Gaseous Effluent Dose Projection............. 06-29-79
3. Quarterly Dose Assessment.................... 06-29-79
9. Radiation Monitor Se points.................. 06-28-74 S

. e

~

ii.? - CDCM-1

?1ge 1 of 3 06-2S-79 NOR"3 A'TNA ?C!iER STACON OF7 SITE DOSE CALCUI.ATICN 'd.ANUAL SECTICM 1 II RCDCC !ON Par: Sub j ect ?22e 1 Purpose 2 2 Scope 2 ,

e 5

A H.?. - ODCM-1 Page 2 of 3 06-23-79

1. ?URPOSE The Offsite Calculation Manual provides the =ethodology and parameters to be used in the calculation of off-site doses due to radioactive liquid and gaseous effluents to assure compliance with the dose limitations of the Technical Specifications. These dose limitations assure :ha::
1) the concentration of radioactive liquid effluents from the site to the unrestricted area will be limited to :ne concentration levels of 10CFR20, Appendix 3, Table II;
2) :he exposures :o any individual from radioactive liquid affluents will not result in doses greater than the design objec:1ves of 10CIR50, Appendix I;
3) :he dose rate at any ci=e at the si:e boundary from radioac:ive gaseous effluents will be lisited to the annual dose limits of 10C7R20 for unrestricted areas; and
1) the exposure to any individtal from radioactive gaseous effluents will not result in doses 3reater than the design objectives of 10C7R50, Aprendix I.
2. SCOPE The ethodology used :o assure compliance with :he dose limitations described above shall be used to prepare the radioactive liquid and gaseous affluent procedures and reports required by :he Technical Specifications.

The Manual also provides the =echodology and parameters :o be used in the calculation of radioactive liquid and gaseous affluen: =onitoring inst:"=entation alar =/ trip setpoints :o assure co=pliance v.rh the E

4 H.P. - ODCM-1 Page 3 of 3 06-23-79 concen: ration and dose rate li=1:stions of the Technical Specifica: ions.

This =anual does not include the procedur-- - ' for=s required :o docu=en: co=pliance with the surveillance require =ents in the Technical Specifications.

Changes to this =anual shall be reviewed and approved by the Station Nuclear Safety and Operating Co=sittee prior to i=plementation ,

Changes :o this =anual shall be sub=1::ed to the Nuclear Regulatory Cc==ission by inclusion in the Semi-Annual Radioactive Effluent Release Report for the period during which :he change was =ade effective.

g S

H . P . - 0001-2 Page 1 of 3 06-23-79 NOR1"3 A.NNA ?O'4ER STATICN O USITE OOSE CALCULATION MANUAL SECTION 2 LICUID EE.UE'T" RE'. EASE RATE Par- Subject Page i Ma:ci=us Allevable Release Ra:a 2 2 Liquid Effluen Limi: 2 -

9

H.P. - CDCM-2

? age 2 of 3 06-23-79

1. MAXOT'd ALLO *4ASLE RELEASE RATE 1.1 The release rate based on =axi=u= allavable Curies per ninute of liquid effluents can be expressed as aximum allowable gallons per =inute (C?M) from turbine bldg. su=os or from the clarifier based on inputs to the clarifier.

1.2 The max 1=us allowable G7M from a release point can be calculated by the follwing:

Dilution tiater. GPM GPM - uCi/mi t

((5 MFC t ) - 1)

'4here :

MFC; is the maxi =u= permissible concentration, of fsite, of nuclide 1, expressed as uC1/=1 from 10CFR20, Append'1x 3, Table II, Colu=n 2, for radionuclide other than noble gases and 4 x 10~5 uC1/ml for noble gases.

uCi/nl; is the concentrarion of nuclide i in the liquid effluent discharge.

2. LICUID EFFLUENT L31IT 2.1 The =ax1=us allowable G7M into the clarifier from an individual source is to be calculated assuming a decontamination factor (DF) of 1 for the clarifier package and a -veimus discharge rate of 300 GPM.

A 1

H.P.-0DCM-2 Page 3 of 3 06-23-79

2. Lt0UID FJM."Dr" LDtI~' (cont) 2.2 The daily concentrations of radioactive materials in licuid vaste to unrestricted area cust meet the following:

Volu=e of Waste Discharted + Volume of Dilution Water >

, i Volume of Waste Discharged x E UC1/ml,.

M?Ca-where uCi/=l tand MFC gare as previcusly described.

9 m+,

9 e

4 1

H.P. - CDCM-3 Page 1 of 4 06-23-79 NCR*H AN'IA POLT:.R STATION OF751TE DOSE CALC"I_CION MA' CAL SEC* ION 3 CASECUS EFE.UE';T RELF_ASE ?.CE Part Subiect Page 1 Noble Gases Release Rate 2 2 Radiciodines and Particulates 2 .

Release Rate 3 Release Rate Considerations 4 S

H . P . - OD C:!- 3 Fage 2 of 4 06-23-79

1. NO3LE GASES RELEASE R.CE The dose este limit for noble gases shall be deter =ined to be within the Technical Specification li=i: by li=i:ing :he release race to the lessor of .

IQtt= 500 =re=/yr EKt t (X/Q) or 24 04

= 3000 mre=/vr E4- {L

  • 1

. EM.<} { X/Q}

where the ter:s are defined below.

2. RADIGICDINES AND PART!CL*L.CES RELEASE 2 ATE The dose rate 11:10 for radiciodines and radioactive sacerials in particulate form wi:h half-lives greater than eight days and ::1:ius shall be determined :o be within the Tec'.nical Specification limi:

by limiting the release rate to:

I, Q4 e 1500 = rem /vr

_t . t where:

It= The total body dose factor due to ga==a emissions for each identifi,ed noble gas radionuclide, in =re=/yr per uCi/s from Table 3.1.

Lt= The skin dose factor due :o beta amissions for each identified 3

noble gas radionuclide, in cres/yr per uC1/m from Table 3.1.

t

H.P. - ODCF.-3 Page 3 of i 06-23-79

2. RADIO!0 DINES AND ?ARTIC'UTES REI. EASE RATI (cone)

M.i = The air dose factor due to ga=na e=issions for each identified noble gas radionuclide, in srad/yr per 'Ci/m3 from Table 3.1 (unit conversion constant of 1.1 nre=/ rad converts air dose to skin dose).

Pt= The dose parameter for radienuclides other than noble gases for the inhala: ion pathway, in are=/yr per aci/=' and for the food and ground plane pathways in s- ( res/yr) per LC1/sec from Table 3-2. The dose fae: ors are based on the cri:ical individual orgar. and most restrictive age group (child or indan:) .

Qi= The release rate of radionuclide,1, in gaseous effluent from all release points at the site. in uCi/sec. .

(X/Q)= The highest calcula:ed annual average relative concentration

. for any area at or beyond :he unrestricted area boundary.

(X/Q) = 3.4 x 10-7 sec/m3 for process vent releases and 1.2x10-3 sec/m3 for ventilacion vent releases. The location is 0.33 21. ESE.

W= The highest calculated annual average dispersion parameter for esti=ating the dose to an individual at :he controlling location:

W = 1.1x10-6 seef33, for the inhalacion pathway.

W = 3.0x10-9 meter -2, for the food and ground plane pa:hways.

The location is2.02 siles N of the station.

S

2.2. - CDC1-3 Page 4 of 4 06-23-79

3. RELEASE R.CE CONSIOE'..TIONS The scst conseriative release rate calculated in parts 1 and 2 shall centrol the release rate for a single release point.

6 e

'4 4

9

, e .

a A

  • m t E$

N

-f Ut

.1 N *** m. === == e. em a.= N m .= "a m m ,. r.=.'.t -

m, - C 1

w w - C -

, .i - . - . - . . . .

=,

b L4 :a a w 6 J a  ; w ;a 6. .a d

= .O* M O  % C "'". r"* Q M O A O C N O O

<. y '; 7 7 C @ D e e 3 M === N om N C.

b, . .

<= . .

'I k *= h N .== == == N -  % , ===. N c=. e M M CN oo *=t G to *J 6 C bg C Ee *

  • --t m

.e.d smd C me e.r e.1

-  :=

.N. ==

'di g U a  :.a U 6

- 0 6. 64

< .; e.; : .= N N N .=. e.=.=.-

aa ==

1 n .

-w e

- -a g

".) .- >,-. - - -

.  %  % -% - e= .:3  %

?. - -

.=

1 # N. 7 S.  % - A 4 a N 4 -'! 4 N 9 O':

e C O -'; . O. .

Wi O Se . - . .- -- - -i M '=1 -- - 3 O O

..* w.

=== ! E!

~a, .:

u Ci e,*

-  ! u

< .$4 C e== .a m . y C

=

b 3

5l "

<, .e N. .

. aJ

. U Y! .2

<=m 'A *n  :.L

.=* c= * .**

s.,

s.J 4 m.

m, m e m N N

, ,. . . .m.

N. N e.a w . .- ,  :>

.. . <, C a.=c j == - . - - - .. . = = =

3

= '3' W 2 s . k.J 64 a 6 fa w W W W J 4,. O 3 *g I O e '"*, .%

M 3 4 9:" C a- 4 N " @ .d

.s. t *J" P'** @ C ==* s.3 '" ^

a h

e M. . . ==C.N. O. N. . .=

= - m. O N == N *== @ f=*. N s e= e N .*

-==

E .

E eM 4$ to l>

.1 *.. *J

. J

% El 3  :=

C '--i == w B, .'s.

e b6 6 gl '

6 -

w N.

- u 4

m v; o .:

C' s.  % -

Cl i %C e h

7w b g C O C 4 M - M e e e - N N M M M M M b 6 CQ 4

=

C. O C- -C= =C C C.

C C C C C C C C C 4 O

  • d La. t = = = = = = = = = .

- M b. W bs iJ LJ W LJ L.J 6J W J W 6& E.a WW tA . *3 4 C h 4  % == N N O Q d = c N -= N m *='" 6 .N HO O c

.a  %

E!

at N -- == 4 .- .=

4 m

e. e. o. -3 NeN cM -- -=:lll=-C = =.

., c y- 3 Et " M a

  • =='t -

U@ *.

vi u, he C .  %

U l*: 4

. "* U

  • IQ .g

==. l., *  :

-. l 61 C .'.

U *==t 3 3 2 E a- 64 3

= P

=

3 y e' . A  %  ::= & O

==

m ea e"*==O= A** ==-  % "O e==

o o.

G

-. :c c = = :: = m - - - , - e  :

"t a i . e i e i e i e t e == % ':..

  • 3  % b  % a  %  %  % v U U U U U U u 4 4

=l . u w u : u u w n n n n n n n < t <

4

TABLE 3.2 3

g V...,, , . .

w, .,a

..sJ, w. ..u.

. ... w,,.- ...-:

NCRTH ANNA ?!. ANT o , 2 Iso:cpe Inhalation] C.cund Flade Cow Mitk Cca* Milk I

i I

.-> ' 2.,

a -. : s- ,. >- ,; ..,

.aa, ,s ,

- aa. r ,

3 ;- .J . 3..* f. .: . .e

. - l .9. s, .- ( 3 ) . .t . :v s . .t ei

?.in ,5i I

'."Cis' '.*9(9) 3.39(7)

.63(6;

-e s , a 4-,s-t:)

.2,-,3,,  ;. ;(3,, ....,s.,
i. u ,. . ,.

v- ,c .4 .--,,,/,,

, , . a,\..)

3. O(,/

s.- ,c.0/

l .

a.< - . . .

-1. g . . .e . : ,) ,,, .e

. .-J(7) 8 4 . s '. 4, ,g -e.e .

g "

" . %' t

4. . ;*t ( s,',, ,
4. . 7 0, ( ,

I I . O,

. f. t.'

  • C

-. . . ., s.., 0, )

l-I - -

a,-an o, ...es , qi-  :.Sof, gi

..:.tri

, ..r.<-> n ..-u -- .,

I *-r..,

c.a*w, qq 0 $.a-f,1

- JJ\7/ .g . i.Di*f t ,. g i

6. / \lV) e.CO\A.,-,,e-g s

^

Cr- Q, As I *

. . .Q, ( *i ) - .i . S- .i ( .i .e ) S . s4,4 ( 6f .' 1, Y=s. 1s 4 .*,.<r,,

J\3)

I l

L.s e- t,0),1 , -<r# ,

2.43\3) 3.)n-ss. rtr

- -2, .< .

.. ,,(:.)  : ..

. tCli 3 . -3 ( .c, ,, . . o. .n , ,

N':-95 a.79(5) 1.95(S) 2.06(3) 2.23(7) .

Ru-103 5.52(5) 1.55(3) 1.05(5) 1.27(2) -

Ru-106 1.16(7) 2.99/3) 1. a(6) 1.73(3)

Ag- 11C.- 3.67(6) 3.14(9) 1.26(10) 1.75(9)

Cc-115m - - -

~

Sn-123 - - - -

Sn-12G - - - -

S'c-124 - - - -

Sb-123 - - - -

Te-127-.l 1.31(6 ) 1.13(5) 1.00(9) 1.22(3)

Te-129mt L.63(6) 2.36(7) 1.40(9) 1.63(3) us- o-e.-;(s) ., ,,fo3 3 . . , ( vs s -, . s- , ( .,,..;

Cs-136 1.35(5) 2.13(3) 5.76(9) 1.73(10)

C4-137 6.!2(5)  !.15(?) 6.02(10) 1.31(11)

Sa-l30 1.60(6) 2.94(7) 2.4L(3) 2.39(7)

C4-141 5.17(5) 1.93(7) 1.37(7) 1.65(6)

Ce-144 9.32(6) 5.34(7) 1.33(3) 1.60(7) 1-131 1.43(7) 2.46(7) 1.06('2) 1.27(12)

I-133 3.56(6) 3.54(6) 9.30(9) 1.13(10)

  • 6.47(2) = 6.47 x 10

=res/yr per uCi/s "s"(crem/yr per uC1/see Calculaced acccrding :c huREG 0133.Ccceber 1978

H.P. - CDCM-4 Page 1 of 3 06-28-79 NCRTH ANNA PCWER STATION OF7 SITE OOSE CALC"T ATION l'M"JAL SEC* ION 4 LIOCID EF713'T" OOSE CALC"T CIONS Par: Subiect ?2:e 1 Liquid Effluena Dose Calculation 2 2 Quartarly Composit Analyses 3 4

E.?.- CDCM-e

? age 2 of 3 06-23-79

-..CL, .. .::- , .-: r.' ,.,C c:. ....

-1 . u_ .v

. m.1 1

Ocsa con:ri.ution shall be :21:212:ed" for all ::di:nuclides iden:ified in liquid effluen:s released : unrestric:ed areas based en the f a11 wing e:cpressi:ns :

-tA..

D. = .. .

_:3. C4 4 _:4 t 1=1 .

where:

T = :he :unula:i're dose :: dese ::==i::en: :: :he :::al body or an

- . . . ....u...

..,2., .. .. .: . .s u.....__s,.,<a. __ e.- ue. 3  :

.. .. .,.1-a -. ra . e a -.-

., a n

4,

. .s .. .. . _.

L= 1

. , . . .s.. e ., e., g..u. c .: .u.e 1:h .a

. ., e ,. a. .,5 cy e... m. ->.

. < - u. -- <. 1 .. .~ 1. e

. . , .. .. .a =*

averaged f:: all liquid releases, in neurs.

C e. ., = the aterage cencen::a:ian of radianuclide i in undilu:ed liquid .

..44..,e.. a.. %u.'.g __ a *

,e..a.d'

.'.c- 3.. an7 .' .' u.d

, .". . =. .' 2. 2s e . -

uC1/nl.

4

,ue :s ,

.e,1. ..e..a 2 . e . , e. . . . a..t ., . . a ., .21. . ..

_ c .. . 4.,. ,. i,~,,,.

, . a..<.,-. g./-

liquid efflues: ralaasa. Defined as :he ratica of de - - - - -

undilu:ed liquid vasca ficw during release :: :he rie: age ficw frem the si:e discht. ge 3::ue:ure :o unrestrie:ed receiring vaters.

.L.. = de si:e rela:2d ingestien dose cr~._ i:nen: fac::: On de :c:al body or any organ for each identified principal gan=a and be:a emi::e is nre:-n1 per hr-uci.

.'13 .4.) '.# $

.s t- . ... e (1.of' ,, .

1 041:ula:ed in 2c:criance vi:h legulat:r- au:.d e '. . '.09 ( 7.e r . '.)

4

E.P.-0DCM-4 Page 3 of 3 06-23-79

1. LICUID EFFi_UE';"' DOSE CALCL*LCICNS(cont) where:

D., = Dilution factor from the near field area to the potable wa:er intake for adu*.: water consu=ption.

3Fi = 31oaccu=ulation factor for radionuclide, i, in fish, pCi/kg, per pCi/1, from Table 4.1.

DF,= Dose conversion factor for radionuclide, i, for adul:s in prs-selec:ec organ, , in are=/pC1, from Table 4.2.

730= Adult, water consunption. in kg/yr.

21 = Adult, fish consumption, in kg/yr.

2. OUARTERLY "CMPOSITE ANALYSES For radionuclides not de:er=ined in each batch or weekly co= psi:e, the dose contribution to the curren calendar quarter cu=ulative sation clay be approxi=ated by assuming an average conthly concentration based on the previous son:hly or quarterly composite analyses. However, for reporting purposes, the calculated dose contribution shall be based on the actual composite analyses.

e e .

k

. ABL.e 4.1 f

=. ..

... s.. v.  ;=. 3 ; . ,.

.. . .A. . g .

..g ,;  ;:g?w., ,;

. ... ..  ?.-.,g;..?... .

=;

k-.g.g., .. g r. ...t,..e .. ,. . . .

. . . . . :.% u...a.:?

n..ve. -

.  : . w.**: fm. ne.t. ..33-- r-.a c e.s-r. n -e.

t

.4 9.CE-01 9.CE.01 9.0E.01 9.3E-01 0 1.fE ~3 9.1E 03 1.3E C3 1.4E 03

.s .

. .e. ..

. 1: .. .. .:. .- .

. . .. ...... . .... .. ...e. .;

...: .. g. ,.

..2. . ....

.e. .. .. .. .. .. . , s.

. . . . 6

  • . y

.6  ;. . .. ... .

...J .. YQ 4..: ..

. : . ,..= .v..: .4  :. .  : s.

C2T""

.. ..e .... ....

3...:. ..

. bE gM

...: .. .: a

s. a ., .i....- ...i g.

A . .. s

.. .. ., .... .. .. ,. .. g .

.f ,

g.

1 g

. ...., =..;.

...c. .a M. . .

..s 3.3 - .. .. . . .: .. *] ...: ..  : ** **

...: .. e4'

...-e. ..: 7 ..:.. .,2 3. e 4

. .: .. .. .. 'WM "O.

1.... r. . . ,.. .; . , ...1 .

- . ... e. .1

.. l.== .. w,l , ., .w

.. ., 1. e.. .1  :. .: . 1

. e ,.

1 .. .7 .. 3..-; . .g <.a.e. .3 $, , -

.u s.

....e. n.,. ,

....E . 2 7 . .. n..

7.Eia.83

..  : . -'. '.2

.  :..'.?. '. . ' '..**.".' '.** **.s

.. r.1

.

  • ryi... a.1 =..?..

.n

~ j . .=.. . . t. ..c.,

. .i N

se

.4

... ...4 *. .. ...a

.... .i 3

- . .-e.

. ,. 3 ..

, .. e .,.. .,.7. ..,

., . er .1 c... .

.. ... 3 ...r...

1. : . 0 ...

.: .3 .. . .1 3.

R 2. .c:. 01 L.. E. ,3 e.

. .ar. 01 ... .e. w 3 i

10 2.!! *1 1..*E a3 2.!! 01 1.CE 03

. .. ., , -e .. , . e. a.,. ..e..,

'"ABI.E .' 2*

240 ! i U 3

!NOIS T ! *4 CSE

  • AC. TO R S 8 0,.1 1CULf5 s y =. . s e.g 3 e. . .. e. .- .ar . . .

A * . I ;. : 3CNE e. 4 :1 i.ACY Tay*Ct: <* NEW L

  • i -t. '. !

._'.; N : .-._

a 3 NC OATA L.05E-C7 t . *3 E-3 7 1.*5--0? L.*54-07 1.05E-07 L.055-07 0 14 2.S'E-C6 5.o8E-07 5,485-07 5.etE-07 5.saE-07 5.o8F-07 5.64E-C7 Na 26 L.7 E-06 1.7*E-C6 .7 E-0 6 1.TCE-06 1.7CE-06 1.7 E-C6 1.7*!-C6

. . - . . _ _ . ~ . _ _ . . . _ . . - . _ - .

. 3 1.135-06 L. *:-05  ? . -, E -C o NO gaf. NC Oa? NO CATA 2.;?!-05

~4 5; ~;0 0A71 40 217a 2. =o i-C 1 L.515-01 f.5:t-L' 3.53!-01 3.aii-;*

-s 5- 70 . ara .5??-to 1. ?::-: ? '!* *afa

. .Joi-Ce -0 0a7 ..eCI-05

__ _ a... ..... .. _..-.-__ _

. . * ., o .as -...-.... ...s..-.-

. .-.. 2 4

.u ....... ...o-

.. .u. .

-.. a.a..:- . h

  • i 55 2.?55-C6 '.30.-:o . . . ;, .; ? iC 0171 '.0 04fa . . s i-C S 1.'*E-03
! 57 .3-i-:s ..  !-?S 3. i!-;m NC :sia NO Oaia 2.355-Oc 3.- !-?!
5s *0 Oafa

.  ?..t--07 L.s?I-16 .0 ;aTA NC Caia NC ;ATA L. 5:-C5

3 NO OaTa O.. ? e . . ?2 -; $ .C : ara 10 0471 q ars . .3.;5 et $3 1 305-C6 4. i!-So . J t i-.j s NC a?a NC : Ta 1. 4 3 E-4

.-- - - . . _ _ . - . _ = - _ _ _ _ _ " 0171 Mi 32 5.22:-07 3.soi-Oh 3.13!-C 3 40 Oaia NC 047s NC afa 1.?4 5-06

. ... .w .ar- .

..33:.. n.. 3....:.. s .s ya. . .. ..

...c... .., y e. . .. . .

s .L . e- r. s N 35 .3-i-Ce i.3-E-23 3.1o5-06 7C OATA . 03E-CS NC Oaia 4.705-Ce

.. =3 ..

-se. ..

. . . ; , c. . . g . . 2 . e.. . , 9 ........ .... .. ..

.  :. n.. y.. ...... . 2s ..g .

?J 93 4C 0a?: 'C Ot*1 .005 1S 'tc ;afa NO Oeia NO .*a 5.71E-03 as 36 NC 0 74 NO Ca? 5.2!:-C? *:C Oa f a 1C Oafa ' "

  • 02?a 6.00E-13 .

19 95 N' 0171 10 0;TA 2.165-01 NO Ca!- NC Oa72 NO Cafa  :. ? f- e 49 to NC Oafa 2.ili-05 4.335-06 NC Oara NC Oaia NC 017a *..bE-Cs 25 16 NC 0174 s.;Si-C5 1. 2.' :-3 8 NC 04 7a 10 Oa fa NC 047A 3.365-11 43 31 NC OATA 6. '!-03 2.321-C3 NC Oafa NC aia NO Cafa 2.335-21 1R 11 3.085-C6 NC ara 3. 36 E-0 6 NC *afa NC ".afa NC Ca!* 6.965-05 la 10 7.53E-03 10 OATA L . 3 oi-C ) NC 0471 NC 0a71 NC *afa 2.195-06

s 11 5.o??-Cs '0 017a 2. 2 * !-0 7 .C Oaia NC Oafa 10 *Afa 2.708-05

!* 12 2.15E-06 10 Aia 4.305 09 N- Oafi NC OA7a NC Oa? .265-25 v 10 1.a;I-C1 10 Oafa 2.5ei-i; 7C Oafa SC OATA NC OATA 1. *E-C-

< 11 1.015-11 NC :afa 3.527-12 'C Oafa NC 017a NO Oafa 2.a??-LC Y 11 L . - L 2-C.* NC lafa a . ?'5-0 9 NC afa 10 Oara NC Ca*a 7.73:-05 42 S..!E-LO NC Oara 2. 6 ?:-l i NC 0171 NC Oa f a NC Ca?A '.-4E-25 700R ORlWNR S

'.'ABLE .'4. 2 Ja*i 0 0F s

. ..w.

6 I . .. ... .. .. e.C ...,., ,... ..J.,

. s .e . .. .. .

("dia 2N4 J0: ta*ii'I3 NU L105 SONE L;vit 7.sCV THv*CI: <!:N!Y LJNO GI-LLI Y 93 2.685-C1 NC OATA 7.44E-t t NO OATA NC Oafa NC Oafa S.508-C5 la 93 3.c.g.cg 1.753.cg e . o;g.01 NC cara t.53E-os NC Oafa 3.09E-05

!? 17 1.335-01 1.345-t:  ; . 5 5 E-10 NC 3a7: 5.125 : 90 017A 1.055-04

..-- = _= - _=..= =___ - = .. .........

':

  • 75  :.22i-C1 3.-of-09 t . f ai-0 9 :0 :Ta 3.-23-0* # 047a 2.t !-05
  • c 11 '. afa . 2".3-03 5.2:1- ? 10 Caia 1.7t--0$ Oa*a 1.49E-Co 11- 2. ?I-1 3.112-L: 1.J15-09 NO :afa .. mi-C3 3..i'. .;35-0?
    • .:  :.3-i-i;  :.aai-t 3.542-01  : Ta a, . 5 0 i-01. ..i??.t:

,. . ; 0 5- 2 *

. , .. 42.. .

.. .r ., =. ... ..N O. ...... . 3:.. . .

.... . . t , .2. .. $

..)=i-03 4.

t'e

3. !!-C NO 0a?

m.

i.4Qi-0*

. _ _ =

  • 0171

. '.e25-Oc

. ...: . . 5:.-~s

. .. .2..,..: . . ,, .1,. :.-.s . .o .... ......s=- . =

?

a ;.;* t . a 0 '.s :-0 7 ..-

0.:a'a. 2....1..--.

.. . .= .

..a.:-.c 3 . 6. .: ..- ?t . 715.-C. .S

. - . 3.5%. t..a. t i. -C. Ng 5 NC

. .. O.a.f t.066.-05 a

.....:-.5

._ _- =.. - - = - _ = = = . . . . . . . . . . --

...= =- _..

PI;2'- 3.??!-Ce . 20-On 5.050-27 i.731-06 2.?56-05 NO Caia 2. ?!-C5 "I;;* ..;;:-O' 3.75E-03 2. 3 c i-0 3 1.;5:-?! . !i-

  • N: : Ta 5.o35-:s
  • ..'18-0= L . 3 : f-0 3 3.15f-06 .301-05 NC Oaia 5.712-05

!!t:9- . . '_ 5 5- C 5

  • II:1 3.16!-05  !.:15-23 . a s i-01 2.*;f ^! 1.325-C7 NO Oa's 2.3?!-09 .

7*13;* . 735-C4 3..: - ' *

.05E- ? i.3-5-::  ?.!??-06 HC Ot*e 3.-02-05

  • Illi 1.9?!-03 1.235-C: e. f-c 3 1.=23-C3 1.635-C3 NO Oafs 2.715-C9

.- . . . . - . - . . _ .. _ . . ~ .

t*t3 2.523-0$ t.mli-Ca 1.542-0s  :.S !-03 1.572-05 :0 Oa f a .7 5-05

. ;30 '.5a'-C7 2.212 0a 5.4 5-07 . 211-C= 3.=43-C6 NC 047% t.121-06 1 '3t .135-03 3.151-16 3. 6 L i-O n 1.45E-C3 1.021-o$ NO 0471 1.571-Oo

-. - .= -

l '. 3 0 2.03E-C7 5.-37-07 .7 E-0 7 t.9CE-C5 1.45--07 NC OATA t.025-07

. 133 1.-23-0s 2..??-04 ' . 5 3 E-0 7 3.a31-04 .312- s NC 017a 2.2 1-C6

! 136 L.Osi-C' 2.!!!-07 1. 0 3 E-0 7 =.1*?-04 6.525-37 NG 0171 2.515-t0

.- =_.-- _. ... . . .

. t!5 .-3E-C7 L.ioi-30 .2 3 E-0 7  ?.o$E-C5 1.9ei-C6 NC 0a71 1.3t!-C

i3e 3.225-05 1. 41-C6 1. *. 3 -C e *
0 0a 71 .715-05 1.53
-0! 2. ! *1-(
5134 3.;ti-Ce 2.571-05 1. 3 5 E -0 5 NC OA?1 1.-3E-C5 t.164-C6 2 . 9 f -C
37 '.171-05 1.015-06 7.;.E-05 NC OAfa 3.?
  • 5-05 L.23E-C5 2.I;i-06
  • 138 5.50E-Os  ;,79g.C? 5.-05-38 NC 0171  !.015-09 .115-C8 e.455-t3 SA;34 9.70!-CS $.1ti-t; 2.365-09 10 Oafa s..oi-tt 1.4:!-ti 1.725 07 o, tim. k0%

n

=A te w. 4.9 2.u 1 3c 1 . .

_......4 ..,; e .. . 2,4 ,3 .. . -L

.. .5

.2 - ~ . . . .

. .. ) .1 2.....

.s ,n .: 1. ..

..)

iU O 3CNE L via

. .i t: 0Y **f40:0 <!"Ni' .;NC

.. '. i . !

- ~ . . . . 3 3 -'_. '_.

3at*O 2.03C-C5 2 55E-03 t . 3 3 g.c e 4c cara 8.a7s.c t.66E-08 6.13E-05 PtI61 4.715.C3 1.36{.!! 1 $19 0 9 NC 3174 . 2.025-11 2.221=t7 dat*2 2.t3E-03 2. L15- L t t . 3 6--19 ic Cafa 3.

1.35' 313'.t t 1.26E-tt 1.305-26

..:. .. .. ... , . . .s . . .. . .

2.

3...

... . 2:- ..

3.-t 3.1---01 3 3?:-:a r . . (-L : *002*'

.  : . 2.C -:1 .0 :ert . 25- 5

.s ..;.--t.

. .. . . .. .. ... .... .. 3...:- . . ..

.. .. . ..):

i... . 435-0* ...i-:* 4.s;i 1 0 !a". ....i-' .0 247. ..si:-:.

34 ... .

. .- :. . . . : +.. .. 3 .. ,;. .

... ...s...-..: - .;;

. ...,.:...4 3.

' i-l:

. . : i '. . . . ,.i s...

i.. - t . N. O. .. .' 1

  • a.

.... .. .5

,i .!!

3 . .! a f a

. ... ,.!!i-i!

. t*7 t .0 3 2-. 3.0. i-! 5 '.0 02Ti *i0 afa 'tr 0171 2.325-25

....- - ==-- '...? ..2..'. .......................

5-0 3 ........ ........ .....

.e:3' t..is-c' t.t :-t: ...si-t. ic :: 2 3.25i-to :c car: 2.. s-:5

  • Table taken frem Regulatory Guide 1 109 (Rev 1) . .

a, Y 9

H.?.-0DCM-5 Page 1 of 9 06-28-79 NORTH ANNA PC'4ER STATION OFFSITE DOSE CALCULCICN MANUAL SEC"'!ON 5 GASECUS E FLUENT DOSE CALCULCIONS

? art Sub i act  ? age

~

1 Gaseous Effluent Air Dose 2 -

2 Gaseous Effluent Mavd- 3 I: dividual Dose e

1

H.P.-0DCM-5 Page 2 of 9 C6-28-79

1. CASECUS EF71/JL*T AIR 20SE The air dose in unrestricted creas due to noble gases released in gaseous effluents fras the site shall be deter =ined by the following:

For g'--' radiation:

Dg = 3.17 x 10-3 : M,(X/Q) Qt Fer beta radiation:

Db = 3.17 x 10~3 I,N, (X/Q)

-- Q,-

where:

D; = Zhe air dose for gs--a radiation in crad.

Ob = The air dose for beta radiation in = rad.

3.17x10-3 = The inverse of the cu=ber of seconds in a year.

Mt= The air dose factor due to ga==a emissions for each identified noble gas radionuclide, in = rad /yr per uC1/=3 from Table 5.1 _

Ni= The air dose factor due to beta e:issions for each identified noble gas radionuclide, in srad/yr per uCi/s from Table 5.1.

(X/Q)= The highest calculated annual average relative concentration for any area at or beyond the unrestricted area boundary.

(X7Q) = 3.4x10-7 sec/m3 for process rent releases and 1.2x10-5 3

sec/m for ventilation 7ent releases.

Qt= The release of noble gas radionuclide, i, in gaseous affluents "a uC1. Releases shall be cu=ulative over the calendar quarter or year as appropriate.

4 1

H.P.-0DCM-5 Page 3 of 9 06-2S-79

2. GASEGUS EFFLUE;T M_CIMUM INDIVIDUAL 00SE The dose to an individual from radiciodines, radioactive :sterials in earticulate form and critiu= gaseous effluents released to unrestric:ed araas shall be deter =ined as follows:

D=ax = 3.17 x 10~3 L R, W Q

-- i vhere:

D=ax= Maxi =um dose to an individual in cre=.

3.17x10-3 = Ihe inverse of the nu=ber of seconds in a year.

Q=

i The releases of radioicdines, radioac:ive =&terials in particulate form and radionuclides other than noble gases in gaseous effluents, 1, in uC1. Releases shall be cu=ulative over the calendar cuarter or year as appropriate.

W= The annual average dispersion parameter for esti=ating the dose to an individual a: the con: rolling location.

W = (X/Q) for the inhalation pathway, in sec/= from Table 5.2 and 5.3

~'

W = (D/Q) for the food and ground plane pathways, in seters free Table 5.4 and 5.5.

R=

t The dose factor for each iden:ified radionuclide, 1, in s'

(=res/yr) per uCi/sec or nres/yr per uCi/m .

I 7 Rt=R [X/Q] + RG (D/Q] + RC[D/Q,X/Q]+R{3(D/Q,X/Q]+Rg g [D/Q,I/Q]

where:

I InhalationPathwayFactor,R((X/Q]

r R'i [X/Q] = K' (3R)3 (DFAJ) a (3re3/yr per uCi/3 )

where:

6 s' = a ccnstant of unit conversion, 10 pCi/' C1.

1 (3R)a = che breathing rate of the receptor of age group (a), in s'/yr 4

5

, R.?.-ODCM-5 Page 4 of 9 06-28-7C

2. GASEQUS EFFI.UE'C MAXDD! INDIVIDUAL DOSE (cont)

The breathing rates (3R) for :he various age groups are tabulated a

below, as given in Regulatory Guide 1.109. Rev. 1.

Are Grouc (a) 3reathinz Rate (= /vr)

Infant 1400 Child 3700 Teen 3000 Adult 8000 (DFAs.)a = the =aximu= organ inhalacion dose f actor for the receptor of tre age group (a) for the i th radionuclide, in =res/pC1.

The total body is considered as an organ in the selection of 4

(D FA.) a.

Inhalation dose f acects (DFA,) for the various age groups are given in Tables 5.6, 5.7, 5.3, and 5.9 (taken f rom Regulatory Guide 1.109, Rev.1). .

G Ground Plane Pathway Factor, R, (D/Q]

R,G [D/Q] = K'K"(SF) DFG,[(1-e~ i )/l] (s' = rem /yr per LCi/sec)

'Jhere :

K'= a constant of uni: conversion, 10 pC1/uC1.

K" = a consrint of uni: conversion, 8760 hr/ year i=t the decay constant for the ith radionuclide, sec'l.

= the exposure ti=e, 4.73 x 10 3 sec (15 years).

DFGg =the ground plane dose conversion factor for the ith radionuclide

(=res/hr per pCi/s,).

SF = the shielding factor (di=ensionless), 0.7 (Regulatory Guide 1.109, Rev. 1).

3round plane dose conversion factors, DFG, are found in Table 5.10.

8

H.F.-0DCM-5 Page 5 of 9 06-28-79

2. GASECUS EF"'.*,E!!T !!XCMUM DDIV!OUAL OCSE(con:)

Grass-Cow-Milk?athwayFactor,Rf[D/Q]

Q-(Uao)

F , , (3,g ', ) -r,. -s,,

^ ^ '

RC [D/Q] =K'E Ai +A q 8 ^

  • g F3 (r)(DFLt)a  ? 8 Y, Y

.- s

(= srem/yr per itCi/sec)

Where:

.s ' = a constant of unit conversion, 10 pCi/.C1.

Qy = the cow's consu=ption race, in k7 'aay (we: weight), 30 (Regulatory Guide 1.109 (Rev.1)) .

U,7 = the receptor's silk consu=ption rate for age (a), in liters /yr.

Uap(11:ers/yr)-Infan 330 Child 330 Taen 400 Adult 310 (Regulatory Guide 1.109(Rev.1)) ,

Y =

p the agricultural productivity by uni: area of pasture feed grass, in kg/= , 0. 7.

Y= s the agricul: ural produe:1vi:7 by uni area of stored feed, in kg/m , 2.0.

F =

3 the stable ele =ent transfer coefficients, in days /litar, Table 3.15 r= fraction of deposited activity retained on cow's feed grass, r = 1 for radiciodine and : = 0.2 for particula:es (Reg 3 Guide 1.109, Rav.1) .

(DFL 1 ), = the organ ingestion dose factor for the ich radionuclide for the receptor in age group (a), in =res/pCi.

See Tables 3.11, 5.12, 5.13,and 5.14.

.s ;

= the decav constant for the 1:h radionuclide, in sec-1 A, = the decav constant for re= oval of activity on leaf and clan:

surfaces by weathering, 5.73 x 10-7 see -1 (corresponding to

. a la dav half-life).

e O

H.P.-0DCM-5 Page 6 of 9 06-23-79

2. GASECUS EFFLUE'* MAXD C1 INDIVI:UAL DOSE (con:)

O g= the ::ansport ti=e fres pasture := cow, :o milk, to receptoe, 11 sec, 1.73 x 10 (2 days) tg= the transport ti=e from pasture, :o harvest, to cow, to :llk, 6

to receptor, in sec, 7.78 x 10 (90 days) f = fraction of the year that the cew is on pasture (di=ensionless),1.0.

p f=s frac: ion of :he cow feed that is pasture grass while the cow ?_s en pasture (dimensienless), 1.0.

E,=

an adj ust=ent fractica vnich accounts for the fraction of radionuclides in elemental form which con:ribute dose for this pathwav. E = 0.5 for radiciodine. E = 1.0 for all others.

The concentration of tri:1us in silk is based on the airborne concentration C

rather than the deposition. Therefore. :he R is based on [X/Q] : .

t ,

C 3 R, fX/Q]= K'K"y

. s-Q;"ap (DFL,)a[0.75(0.5/H)] (srem/yr per uCi/s )

where:

3 K'"c a constant of uni: c:nversion, 10 g=/k g .

H= absolute hu=1dity of theat=osphere, in gm/s , 3 (Reg. Guide 1.109,Rev.1) 0.75= the fraction of :otal feed that is water.

0.5 = :he ratio of :he specific ac:ivi:7 of the feed grass water :o the at=ospheric water.

M Grass-Caw-Meat ?athway yactor, R't [D/Q]

The integrated concentration in = eat folicws in a similar nanner to

he development for the = ilk pathway, threfore: ,

H.P.-0DCM-5 Page 7 of 9 06-23-79

2. GASICUS EFFL"ETT AXDTM INDIVIDUAL DOSE ( ent)

E 2' Rf(3/Q]=K' A,-

F, (r) (DF'_;)a 3 8 ~ '

.S }

.s , -

y f p a (n, nres/yr per uC1/sec) where:

F=f the stable ele =ent transfer coefficients, in days /kg, Table 3.15 Ua

  • the receptor's = eat consumption rate for age (a), in kg/yr.

U 37 (kg/yr) Infat: O Child 41 Teer 65 Ad'.1: 110 Taken from Regula:ory Guide 1.109(Rev.1) g= the ::arsport :ise frem pastura :o receptor,1.73x106 see (20 days)

- = -he transport ti=e from crop field to recep or, 7.7Sx106 sec(90 days) a The concent stion of tricius in seat is based on its airborne concentration rather than :he decosi: ion. Therefore the R',g is based on (X/0):

3 R (X/0] = K'K'"F fQy"ap(DEL 1 )a(0.75(0.5/H)] (=re=/yr per uC1/s )

where all cer=s are defined above.

V Vegetation ** thway Factor, R,(D/Q]

Thc integrated concentration in vegetation consumed by =an follows the expression developed in the derivation of the silk factor. Man is considered to consu=e two types of vegetation (fresh and stored) that differs only in the time period between harvest and consu=ption, therefore:

e

H.P.-CDCM-5 Page 3 of 9 06-23-79

2. GASECUS EF"UE'tT MAXI'"1 CDIVIOUAL OCSE (co_nt) r.

!+ -i'i-L 3 -A<* g' i

Rl[D/Q] = K' ,f. ( A ,' )- A ) (DFL4)2 lU~

- 2 -fr e -U 3 f ', e l,

. 3

- w l i

./ . -

(n' nres/yr per uCi/sec) where:

6 K'= a constant of unit conversion,10 pCi/'aci.

Ch = :he consu=ption ra:e of fresh leafy 7egeta:1on by the receptor in age group (a), in kg/yr.

Uk=(kg/yr) Infant 0 Child 26 Teen 42 Adult 64 S

U=3 the consunption rate of stored vegetation by the receptor in age group (a), in kg/yr.

S -

U a= (kg/yr) Infant 0 Child 5 20 _.

Teen 620 Adul: 520 ft= the fraction of the annual intake of fresh leafy vegeta: ion grown locally.

f=g the fraction of the annual in:ake of stored vegetation grown locally.

L= the average :i=e between harvest of leafy vegetation and its consu=ption, in seconds, 3.6 x 10 (1 day)
3= the average ti=e between harvest of stored vegetation and 1:s

~

consu=ption, in seconds, 5.13 x 10 (60 days) i.y = the vegetation areal densi:y, in kg/= , 2.0 and all other factors are previously defined.

The concen: ration of ::1:iu: in vege:ation is based on the lirborne concentration rather than the deposition. Therefore, :heRfisbased on [X/Q].

H.P.-0DCM-5 Page 9 of 9 06-28-79

2. CASECUS EFFLUE'."r MAX'MO! INDIVIDUAL CCSE(cont)

V r - 1 R (X/Q] = K'K'" U~ft -Ujfg (DFL t), [0.75(0.5 /H)] (mre=/yr per uCi/s") .

1d1 :er=s defined previously.

  • a a

A

  • am . . - . . . ... .

sl me N.

UI a. .= .m -. == m .y <=, m .m N

C O O

_ u. - O - O. O_ O_ O_ O. O_ O. O_ O. O_

J w O_

'= 3 Tj b. -.d -. w w . i

    • ** O. =  % d ."" 4 * .- 4 4 D J a'. 4 O

@ O O 0 M N ef. U @ e= *:=

  • 3 6, l

'O. . . O. O. . . e. N. . N.

1k *h N a. .- e- N  % ,=  % N = c M

  • d ON*'

O U C2 e es t O 6 C

EI .

en ed e s C

u E! 3

  • ==
n. m N

Qa 6 G G 6 :

== 6. A

. - .a * =* == Y

< ,  ;. =

- == c e N N O

ao O O O O O O J e u"3.

2

- O - O. O. O. O. O_ O. - - - - O. -  :;,,

6. ..

=; r "." - - -. .- L b - -- .

.  % 3. .:  % - .: . - - = .e i e N O N  % ==  % 4 A N 4 9 2 4 N M D e .g ; .

. A.

v'8 O Si .-. -- - 4 .- - .-. - m - -'t == - @ O

= .

==

6l 3

.-. .-.! s

=; , w u

O, y Q

, n

a
M6 y

be O O O O O O O O O O O O O O 3 .-*

e

c

-s,r t = = = = = = = = = = = = = = a

=

.g;

<l G

  • -. Os O

a w '

e c ..-

J i

w w - a -

% == c <- O

'.J a.

w w

a. 4 N m m J w

.4 o

p i O 6. e  % f*! o. O == = == i :s

_; w e

m. . . O. N. " ' ' . m. . . N. . c.  ;. v

=s = N - - o N - N e e M N -- - e N Si m.

.4 SI di W O

e d  % U 5

= 5.I o .

M "** e

.O j

. =

, u O; = .o 2 2 .5, m

Ol o ~-

G E 'O

< "* I 9  %

6 al =

w f N 3 W4 -. L **

u,e yl O Cl 6 :J t.c.

C4 %o e "J ed b Q -

C U G2 13 U

C. 'C M = M e e C C

  • P == N N M M M C

f"9 M 6 t4

?

d w r C. C. - O. C. C. C. C,. C. C. C. C.  % .

a'= M L y w  ; w w w 6J LJ w w

  • W w 64 w ta .

4 h W N == Y a

@ M3 4 == e N - N f" w.* ,I

.D ~ -. .-. .: "m "e .:

. - e - = c. = =

6

= ,.N e on 3] . . o. . . m. . . O 6 p O =; t  % == - 4 ,= - == m N N P9 == == = = v-4

's.g 34 h M E M d U W3 m4 *J O .,o

~~ N 2

v l=< - .

'3l

==6

,.I.U. N . .O - '

s='

t.J l==to O 0

  • r 3 3 2 3  !** W #

c

=, at ..q o % = v O - A m c s  % = , 4 .

, m - - - m .- - iu:

-e CO O O 23 03 = 0 .- -. -. .- .= .-. e .

  • j e i i i i e e i e i e e e i a d- %

.s b y u y u 9 U U b is e C.j M M Mb :.- M 6 6 .ma :

6 6 6 MM M M c; ' e M M M w

4

  • f

4 6%**-

TAltl.E 5.2 IJosth Amia ISouiss Vent IllSPlJtSIO!! PAltAMETERS (X'/Q) l'OR I.OllG Tl:ItM-i.llXI:I) 1.101)l Iti:1.tEl:3 > 500 IIR/(R OR > 150 IIR/OTit lilstanco to tlic control location inc intiet.

Ii2El 9f E.d5 0,5dg D_ 1,0-1,5 1, 5 --2, 0 2 , 0 _2 , 5_ 2,5-3,0 3 , 0_--;l , 5 3.5-4,0 4.0-4,5 4,5-5,0,

~#

11 1.tx10~ S.tx10~ 6.2x10~ 5.3x10~ 4.1x10~ 3.2x10~ 2.5x10 2.0x10 1.7x10~ 1.4x10~

11111: 1.tx10 0.3x10" 6.0x10~ 4.7x10~ 3.2x10~ 2.4x10~ 2.0x10~ 1.Gx10~ 1.3x10~ 1.tx10~

~

-0 til; il.0x10~ 5.7x10~ 4.6x10~ 3.5x10~ 2.6x10~ 2.0x10' l.5x10~ 1.2x10~ 9.9x10 " U.3x10 1:111; 4.9xlO~ 2.4x10~ 2.7x10~ 2.4x10 1.9x10~ 1.5xt0~ 1.2x10~ 1.0x10~ 0.9xl0~ 7.7x10 1: 6.0x10~ 3.5x10~ 3.7x10~ 3.3x10~ 2. lix 10 2.3x10~ 1.9x10~ 1.Gx10~ I.3xt0~ 1.2x10~

1:31: 5. lix 10~ 3.5x10~ 2.9x10~ 2.4x10~ 2.0x10~ 1.7x10~ 1.5x10~ 1.3x10 1.2x10~ 1.ox10'

~

El: 9.2xlO~ 4.6x10~ 3.1x10~ 2.2x10~ 1.6x10~ 1.3x10~ 1.0x10~ 0.5x10~ 7.2x10 " 6.3x10~

~ ~ ~ ~

SSI: 9.lix10" 4.6x10 2.5x10~ 1.6x10~ 1.tx10~ 0.7x10 7.4x10 " 6.2x10 " 5.2xt0 " 4.4x10 "

~ ~

S 1.6xto it . ! x 10~ 4.6x10~ 2.9x10~ 2.txt0~ 1.6x10 1.2x10' 9.9x'.0 " 11.5x10 " 7.3x10

~" ~

USW 9 lix10~ 5.6x10~ 3.1x10~ 1.9x10~ 1.3x10~ 9.LxlO~ 7.Sx10 6.3x10~ 5.4x10 4.6xt0 "

-0 -0 7 g x , ,,- 0 6.4x10 " 5.5x10 "

~ ~

~

SW ti.0x10~ 6.2x10 3.2x10' l.9x10~ {.37.10~ 9.Gx10 4.6x10

-0 ~ ~ ~

WSW 7.3x10' 4.9x10" 3.0x10~ 1.9x10~ 1.3x10' 9.3x10~ 7.tx10 5.7x10 " 4.7x10 " 3.9x10 "

~ ~ ~

W 9.4x10~ 4.9210 J.0x10~ 2.6x10~ 1.0x10~ 1.3x10~ 1.tx10' 9.)x10 " 8.0x10 " 6.9x10 "

~ ~ ~ ~

1.2x10' 9.6w10 " 0.6x19 " 0.0x10 " 7.1x10 "

~

WilW G.tx10~ 4.9x10~ 3.3x10~ 2.2x10~ 1.5x10~

~

llW 6.7xlu- 5.9x10" 5.2x10~ 3.7x10~ 2.Sx10~ 1.9x10~ 1. h x l al 1.2x10~ 1.0x10~ lt.7x10 "

~# -7 lilli , 6.6x10~ 3.5x10~ 4.5x10~ 3.9x10~ 3.0x10~ 2.3x10~ 1. tix 10 1.5x10~ 1.3x10 1.2xt0~

catues ut th.ume t,/1// --4/.so//ti e

1' 07 l " 0 1

- ~ ' ~ ~ ~ ~ - ~ - - ~ ~

5 0 0 0 0 0 0 0 o 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 t 1 1 1 1 1 1 1 1 S

x x x x x x x x x x x x x x x x 1 S 2 3 0 t 3 U 7 3 3 U 3 6

. . . . . . . U. S.

4 2 l 1 l 3 4 2 9 1 6 S 4 0 9 1 l t

i l

Q 5, 7 l

" 0

/ - ~ ~

H I

4 0 1

0 0 1 1

'01 0 0 0 1

~

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~

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~

1 1 1 0 0 0 1

~

1 1 I

x x x x x x x x x x x x x x x x O 0, 6 6 6 0 il. 0 lI 9 7 2 7 9 t t S 4

. S. S. . .

I 2 l 1 1 3 4 2 l 2 7 6 S l 1 1 2

> 7 7 " 0 l

t 0, -

0 'O

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0 O

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0 0 0

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0 0

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i 5

- x x x x x x x x x x x x x x x x Y 3 3 9 0 1 4 6 0 2 4 4 4 3

/ 3 S. . S. . S.

t l

3 2 1 2 4 G 3 1 2 9 0 7 1 1 2 2 i

l O

U 5, /0 -

7

~ ~ ~ - ~ ~ ~ -

1 1

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S 3 t 0 0 0 1

0 o 0 0 0 0 0 0 0 0 0 '0 1 1 1 t 1 1 1 1 1 1 1 1 1 1 x x x x x x x x x x x x x x x

> 0, 3 0 6 9 9 4 9 3 3 t 7 li lx I 9 3 3 S. . . . . . . . . .

3 4 3 2 2 S 7 4 1 3 1 1 9 1 l 7 3 i

M A s

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l 0, 7 7 7

~

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l

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T i

t I

e n 3 0

1

'0 1

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'0 1 0 0 1 1 n

l t

F. 1 I S, x x x x x x x x a x x x x 4x x x V I 9 2 4 6 t t 0 7 6 3 1 6

V

, 2 . . . . . U. S. . . S. .

i r 1 n. S 4 's 3 I I 1 6 2 4 1 l 1 2 2 4 4 O 1 la '

I D 7 l 7 7 T l lI 9 - - ' ~ - - - ~ ~ ' - ~ ~ '

3 A. i. 0 0 0 n g o 0

. l l

l i o g

60 1 x x x x 1 10 1 1 x x I , i 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 '

5 T o l - x ix x x x x x x x i

l.

H l t l i

0, 0 3 1 4

2 6 g 0 f 7 3 0 6

. lI. 0 9

F < ,.

i l

l V G t r 2 i 6 S 5 t

1 1 , 4 6 2 2 2 3 3 6 6 A

A M n T U l o l

c f 7 6 7 7 N  :

I 0 - ~ - ~ ~ ~ - ~ - ~ - ~ ~

A T m 0 0 0 0 0 (

1 0 0 0 0 0 0 0 0 0 2 1 01 1 1 1 1 l t 1 1 1 1 1 1 1 1 l

i T

G li -

x x x x x x x x x x lx x x x x x R

l l o 5, S.

1 7 1 0 6 S.

6 t

6 f.

4 1 3 0 2 O O.

t 1 1  ! 0 9 2 2 6 J

t I e 1 1 4 3 3 6 6 1 l 5

i c 1 l

n /

O u '

G " ' 0 l' lg 5, 6 - - ~ ~ ~ ~ ~ ~

7 1

'u

~ ~ /

p l 1 . 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4

) L) -

1 x x x x 1 1 1 1 x x x 1 1 1 1 1 x x x x x x x x x 1 1 1 1 1 t Q 0, 1 2 9 1 3 0 4 3 7 2 3

/ U.

t 3 1 4

(

Y 1 3

2 l 1 4 S 3 1 2 9 0 7 1

1 2 2

. 4 7

/

t 1 I

'I /

T 0 5 " 6 S E - ~

,~0 ~ ~ ' ~ ~ ~ - ~ ~ ~

0 0 . 0 0 0 010 0 0 0 0 0 0 0 l M l 1 1 t 1 1 1 1 1 1 1 1 1 1 1 1 a

r A 5 x x x x x x x x x x x7 x x x x x o t

l 3 0 4 2 2 3 7 7 S 7 3 4 2 2 0 0 c A 0 . . . . . e l' 1 7 6 6 1 1 9 4 7 3 2 2 4 4 7 1 1

H 1 'l 1

5 S 5 u 01 5 - - - - ~ ~ - " ~  !

3 , 0 O 0 0 0 0 0 o 0 0 0 10 0 0 0 0 i 1

0 1 l 1 1 1 1 1 t 1 1 1 1 1 1 1 o 1

ix x x x x x x la ix x x x x x x l r

l 1' 0 l 2 4 S 7 t l l 9 6 4 6 lx e

. . . . . . . f. . it. U. .

3l

) S 4 3 3 7 1 6 2 4 1 l l 2 2 4 4 l'

r o W t

c 1 E

1

C t V W J W

e 1  ! r 1 1 1 S E s n S WSW W '.W W l l

S J

[

1 1 S r S S l l

i l

P

C C C C C C C C C C C

.C.

. .C .C. .C. .C.

OI I t i i i i e i e 1 e i i i f I

.c. c. = = O O = 0 = =

4 . .O. .. .c .o. .o .C .O -

3 X X X X X X X X X X X X X X X X d N == =

Tl N

. :D. O.

N N - - - - -

M. . N. ci. O. O. =. =. C. T. N. A. .

M - - - - - = =

b I O

.O.

O

.O. .O.

O

.O.

O O O O O O O

= - .O. .O.

V, O! I I ( l I f I l t I I i i l I

\ O O O O i

c

I".

= .O .c - .c .O .O. .c .O. .C .O. .O .c

.=. X X X X X X X X X X X X X X X X

,. O! T 4 4 P. ='.

W Ti N. T. . T. T. M. =. N. O. N. J. V. . .

- M c.? N m N N  ; N == N A O C O O

.C. .C. .C .O. .O. .C - .C. .C. .C. .C. .O. .O.

E Ej i i i i  ! I I i 1 1 I 8 1 1 8 i O C C C C C C C U

y I

.C .e .C .C .C - - .C - .C .C - - .C -

X X X X X X X X X X X X X X X X

( d, c).

M. C.

03 O. C.

. C.

c1 P.

. N.

4 C. e. N. T.

=

b i T e"7 == N MM T N N = N .= N N C f C C ,0 O O e WI

.C. _C _O - _O _O _ - _O _O _O _C .C. - _O c k 1 . I 1 1 I i i  ! & 1 1 I I I I I = 0 O O = 0 = = 0 = O c 0 A l Ml . .c .O - .O.

di X X X X X X X X X X X X X X X X l

~

    • 1 N

. O. T. e. =

. N.

=

. c. =.

=

0 N. N. . .

0 4 M N N N T T C '"7 N N N N t?

y-24 ce d [

m ,I

= 0

.O.

O

.= 0 0 .O O

.O O

.O O O O O

-t i f i I f i

,=, = 1 e O

I I I I I l l I

~* w - O O C O g Oj f'* l . .C .O .O. .O. .O - .C. .C. .".'3 C

i

". #,j x x x x x x x x x C"; N .x == w x X x x x x

- - .. . O. "". ?. C. N. C. . T. . . . . O. O. N.

g 4 2

~*

NI N NW '"7 M c"1 C d O O T N  :"3 N c) T y n

~

< o O C -

c

  • 2

. x,,,,

@x c,.

4, O O g

.C.

i

.= 0 C = 0 g

g g g Q

.,. .C .c. c C 3 , g g g g g

~~

3 2 ci

." I -O -O ~O~ C~ C~ ~O ~C ~O~ C- O~ ~C ~C ~C~ C C O b

- d4 =e O+ d{ -

X X T

X X X X

= M X X X n.

X X X X X X e

X

. . N. e N. e. e e O. o. . T. M. m. V. - O. .

O k Y

E'I ==* ~3 1/3 4 4 c) C N t.3 T W T m t.3

< 5C.

2 rm Cl C C

C C C
  • C x =,

ci es I es I L O -i -I esi O c3 O O O -I - I - OI OI 1 1 4 6 I Z O o - - i-

.O. N1 I

.C. .C. - .C. .e. .C. .C.

. .e .C. .C. .e .e. .C c, X X X X X X X X X X X X X X X

= y .#,,l O NW t.C W O- Q 4 4 .X7 4* ' 4 N - C C -

-t c,-

., - N - = O - - N - e. e - -

d'

^a. 8 7 O C -l ,A I 6 Ci I

O O O I O Ot O ! O OI O O Ci i a 1 a i i O O O a I i N " = C C = = =

e c

- .O x

.O - - - _= _C O =

C O =

_c

- X x x 03x x x - x x x x x x x x x -

03 C ""

O. N. C. C. . T. M. 4 - O. C"2 N. . N. N. M.

C.2 M T M e N N M M W N N - N e N N t.i 4

c, = 0 C I I I

.c,I c, O = = = O i i

, c, c, O O es I i 1 6 8 4 4 4 4 4

.a:: ,,,,9

.C .C O C C C C O O

. - .C .O .O. - .C. .O .C .C 3 s

O M N N N N N N 6 f*3 f"3 W q

= q N.

O.

c,

. . C. C. N. N. N.

e.

M. C. O.

4 3 u e e - .. - O o e o e e 7 C

~

O =I =I = = = cs i= = = c:

I 8 1 I 4 I i t e = ic i= =t =

I 2

el e O c O c = 0 = O

s y

- - .O - .O - - 0 = .= .O ~

'W N N N N N N N N N 4 i! S 4 =

g M. d. A. O. C. 3 ct 'A. . O. O. C. """. . *:". N. ci. g M M N .i. N N WN - - == =

l.. Y*

ct u .s > s> 3 .=

a u . > 3, >>

oi -

-- . .. .J . .- ..

e va u

wJ

w. ,,A g

.=.

d

'.# 8.= M M U @ Z Z , ,,e q

b 4

1

e 4

=

C C C C C C C C C O C C'c = c O C,; - -I - i - i - -i - - l - - - -I -I - i - i-1 1 l l 1 I i m O O O O O C O g .O .= .O. .O = = .C .C . O. . .O. .= -. == .O .C =

m X X X X M X X X X X X X X X X X

= "C C

yy N.

T N.

Y M. M. M. N. C. O. 4 *:". . *:". O. C. G. C.

~~

("') N r7 m **) N e N -. .= N -. N N q l g C

_C.

O = 0

.e. -a _O.

= = ~ ., C = C e C

= 4

. I t i f I f I I I  !  ! L a l i I C O O ,O. O O O O C O O O g - -. -. .O. .O. m. .O .C. .= -. ~

W X X X X X X X X X X X X X X C. v X ' ~ 'X

v. N e O. M. N . ~ -=

y ":". C. W t"3 m

. . e . . e e O.

A W W T N v v v M M M N - N N M M C C O C O O O O C C O O O O=

  • w .C.

- -. .O. - - .= - - -

- e,, I l 8 I i i i I  ! I i  !  !

I I I C

-X -O -OX- O-X O-XC-X C- C-X C - C C -C -O -C -C C

&r y

\ g X

- X-X X X X X X X X

& m. N.

m. C. >. - -

N

. N. . N. C. . . e. n. C. m. C.

C N en en m C C v N v t*> N n t'i e in C

A l O O O O O O O O C O O O

^ .= -. .O = = .O -. -. - p == .O m.

WI I l I l i I I i i

.= -. ==

= 3 1 1 e i I

= = 0 =- 0 O = = =-. 0 0

.= = =

M-- M} .O = .O -

'i x =x x x x x., --x .- x x x ,: x x x x

< l

e. . c. m. O. . . e.

- N

m. m. e. N. O. :n.

M e"t l 1, :5 m N o N = =3 c - e -=

n .:- e e .:

%  :); C O C C O

_I m e m .O = c e c I -= t c .C= .C = - - .= c Q

"'" = 1 8 I ( 4 t I i l i

> .I f!I' C C O = O , .- 'O 1 1 1

- .O -. .C .O. .O .C .G .C. .C 2 M Cj 80 X X X

= -. -= . . .O = .O.

  • - W= X X X X X X X X X X X X 01 .X

> n -.

V;

. e.

==

. N.

=

fa

. N.

4 4 a'*

C"!. O. O. N. C. O.

=

0

=

==

5m N! - - -

N - - - e - = c - e e e -

'C m  ; 31 C

7

  • X C o = C [

, el i

  • 3i 2 m i O O i

'a c; c i m ci -. mi == :n c4 i i i i i i

. T U "

O O O O O e i I .

,tg 3 [ }g == .O. .= .O = == .- -. .O C C O

== - == .O. .= -

O C C C s > -

C l X X X X X X X X X X X X X X X

==

X

3 $ 0 .} n. m. cs. N. C. C. -

  • NI C. e. o. m. C. ci. . ci. e. c.

at: -

= N N - - - N N - N - - N - m - -

H < ~

b O.

r n.

V y Cl C O @ T C'l O 3 @ C 3@ D '~')

3 D D g 4 I t

.3w 1 I 2

6 1 1 I t t i 1 1 I m

O N O C O O O O O C O C C C C 5

- g .C. .C. -. - - - - - .O.

M X X X X X X X X

- - - == - - -

- C X X X X X X X

c. w = =

X

=

3 , m. N. n. m. e. N. . =. o. e. . v. C. . e. = .

v O.

v v cal N c=3 c9 m N v N - -= N

.. N m

&l e-,,

0 OI d OC ciC ciO :n y 1 i i O

I m O

a ci Cc4OcO= Oc O Om Oo ciO :nO 04O O

a a e a t c"i I s 6 l I i q m

- -X - - - - - - - - - - - - - -

X X X X X X X X X x X x x O "., =2  :*. N "3 4 X X g . c. N. . O. v. C. M. M. C. N. ci. O.

= :n W m. N o N = :: o - o e n v v o e i=.

.M.-

4 C. CI CI Cl C I 23 CI CI C C I 23 23 e e a i C 23 e I a C C C e a

% v5 g

-X -X -X -X - X - X= X= -X -X - -X - X - - - C O C C C C C C C C C C C C C C

<. Q X X X X L w ll") == = T .X =

W .a.

gg . G. C. O. C. C. N. N.

, M  !"3 N - N

!"3 M

N M N == == ==

. i.t".l N.

a. N N e

8"% ~

4

=  !%. N N N N N N b b b C C C O N N T

M , i 1 1 3 4 I l 3 I I I I f

% f O C O O i e I 4 y .C.= .C. - .= .O. .C. - O. .O -. -

OO O O

Cl -. -. .O .O .= .D X X X X X X X X M X X
,0 F == -. N 'Y

.X= X X X =1

.3 N

c. =

- -l .=* a':

. . . . O. N. N. O. d.'

C k N N s - - - - N - 3 N

Q = = -

3 o

.C. >= 3 c - ..= a = = > e, -

o -

= -M:.:= = a 3 y >; 3 - 3

f. . , - a au ea a e  :,s 3 a -3 - e.= = <=
'=