ML20055E082
| ML20055E082 | |
| Person / Time | |
|---|---|
| Site: | 07000925 |
| Issue date: | 04/30/1990 |
| From: | JAMES L. GRANT ASSOCIATES, INC. |
| To: | |
| References | |
| 05.1, 5.1, NUDOCS 9007100362 | |
| Download: ML20055E082 (7) | |
Text
__
l0*
- 1. ~
g o-9.a I
JAMES L. GRANT AND ASSOCIATES, INC.
g l
CAtcULAft0N StM%RY StEET rnoJECT NO:
60 FT/I -OY i
CAICULATION NtD4BER:
07.l l
DATE:
3
/0'90 I
DESCRIPTION OF CAlrULATION:
o S m,x a re c 5 4,C c a., 4,,
4 co /L4 A i
em,on I s/. b. /c L,. J n,uu /a //
& L4 0 ~RD b Ut vw-auw he (
4-t, h orM '
D V
N HKFERENCES USED:
lt sN l /v1 f., fr 4 ik S s, $r s. T. e m,rllo. W e bk os,
~
cL,n,
Bone b
n=======,3==========u=================
nnr.======== r:==rs====================nn CAICUI.ATION MADE BY:
MM DATE:
~7-/d-fd
[
CA14ULATION CIECKED BY:
N DATE:
3 " I' 3 d 6;
E CAlrULATION APPROVED BY:
DATE:
$ ~~ 33 T d U
4-- ?O R C/ W
,9007100362 9,00,430
_ c. c
wn7 i-Cimirron e'
900211 S h:::ni 1 of 6 by JLG 3/16/90 Revised for longer slope length 4-30-90 Goil Properties for Erosion Celculatione data are from 9/12/89 -oport Appendix F Particle size distributions show that all soils are very fine grained, d75 15 about
.1 to.2 mm (.004 to.000 inches Soil Max Density K
K Dult ASTM 698 cm/sec 85-90 Density PP1 119.7 3e-7 1.2e-5 1.92 (196. 1%
PP2 120.5 Oe-8 3c-6 1.93 697.4%
PP3 117.9 2.5e-8 1.6e-5 1.99
@(17.1%
Assume Sg := 2.65 Avg buld Density 9 100%
D100 := 1.91 0 90%
B90 := 1.72 e 95%
DOS := 1.62 Void Ratio B100 Vs :=
Vv := 1 - Vs 59 Vs = 0.721 Vv = 0.279 Vv e :=
Vs At 100%
e = 0.387 compaction at 90%
B90 Vs :=
Sg Vs = 0.649 VV := 1 Vs Vv u O.351
y t
Yv Cimarron 908211 e :=
JLG 3-16-90 Vs Page 2 of 6 e = 0.541 at 8S%
DOS Vs :=
Sg Vs = 0.611 Vv :=1 - Vs Vv = 0.089 Vv e : = --
Vs e = 0.636 Calculation of Limiting Slope for the Cimarron Cell From Measurements, the cell is 61 feet wide an excavated Assume that the finished cell is 180 feet wide Then, use 100 feet for half-width.
The cell will be located on the ridge crest, so that drainage from the crest.cf.the ridge (1/2 of the cell width) flows over each side of the cell.
So. we use a slope length of 100 feet.
Using-the NRC Draft Staff Technical Position Paper Design of Erosion Protection Covers for Stabilization of Uranium Mill Tailings Sites August, 1989 And
- Temple, D.M.
et.a1 Stability Design of Grass-linod Open Channels Dept. of Agriculture, 4RS Agriculture Handbook No.
6L7 An t'
- Nelson, J.D.
Methodologies for Evaluating Long-Term Stabilization Designs of Uranium Mill Ta111nge Impoundments, NUREG/CR-4620, June, 1986 Assumptions: Clay Soil, enO.64 (assumes about BB% compaction PI of. Soil is about 10 (from report appendix F Soil is CL Using Temple, t.51e 3.3 I
- = 10 W
~
~
2
-4 T
- =
1.07 1
+ 14.3'1
+ 47.7 10 ab w
w C
- = 1.48 -.57 e e
s,.....
y y,.
. 4 8
n
!n a x,E. d.5V
' e
.e:
.+
t c_
o o
- 1. +
%g(" !!
2 v
%w
,' H Cimarron" 4
l V
, w m
4
.009211-m-
o,
=,.
JLG 3-16-9'O:2 a_G f/w Te. =s.64
'?
g-<1 7
yj '=(1.118
~
- ~
9 Page 3 Eof'61 E
gw l
C1 T-
=
0;03 s
x e.
ay t
3;
,,}f 2
n 4
N, t-
't=~t-
,'C
.a1
'ab e
1 2
4<
t
' =.O,037
.f, i e, ia O
. ic
-s._.g.
.t;
+
b
- "~
1=.100,
=ft by assumption', sboabove-
"p c
'SL s9 t-e g
7 :p Dd r:
s
+ ;j{
'T
,g. q w.
i
+
g.' i
-k,i *n
,F :=-3 Slope Concentration Factor 1,
conservative.
a 4
y
- 5;.
'n.
= O.02-
,-Manning's n, From Nelson,'Pg60 for~ silt loam.
,o
=I m
.h
. s'
'i Point 6-hour-~PMP,;:from. Design of Small Dams, BUREC, 1973-
~ '
(
e
. ji
d
.PMP-
't a 31 i'1c hes.
N
'l
- l M ; ns
<}
+
.~*
1 h, t
to'obtain' amount of storm.within 2,5 minutes, use DSD 11 v
$,,, D, ;
Figure;1BJZone_C curve,fand: interpolate M
W
~'
About :'32% - of the stor.m' occurs.w.itnii Zo minutes i 22 s
't
., About'"19%.within(15 minutes,.and the; curve Js-l nearly linearfto O.
y'l x,^n 7
L"
', Thus~, thel fraction.of the storm that'occdrs
/within 2.5' minutes is-
_ h
'N '
,r w
i t
1 @ d' )' ' fPMP'
- =
'2.5' j" P l0.19 l
u f '. l.
25-
'15
);h z
w:y w e
g
' r;j-c
- t-
- j -
l
- g
+
t
, lh 5' FP.MPJ
=rO.032 i
- C1"%
i 25L I
w 4
.iand9 4
^
/,,
1
?iQ e
' -PMP a = " FPMP.'
PMP -
1 1
125 2 54 6
li :g%t@7:
1 s.
- t
'PMPJ..
L=LO'.982:-
inches.
m
_. 2 5
<kY o;
T -
1 The'designfintensity in inches per hour,is Er s
n O~
60 q
iPjia PMP
-g'
-}
br 251-2.5 M,
ti.
-. p
?
i,
- P1= 23.56'-
- inches per hour _
l Y'
[;j f
+
-q
[Pjb[ip 4
r-
.. g:
t c.
} r.
hj iy[
g m
,..-w
,.,,a
~w
w.- -..
6,
- e.
,(
. e y,.
1 n..
'r ;
i 4
g
.g j;lSh 4 Cimarron' 008311-
- [ e s, Y E
JLO 3-16 870 u
L-T*
Page 4'of 6..
4 s
w b,
.<c
'i now, to compute the allowable slope using the.eqn'on-J',
Jpr e A-3 of the Staff Position Paper-s bn
._\\
-.. : = :-
w ep
[,
b w 7
s ep = 0.057
+
T.
ca 0.037,,
-a
,7:
I 1.66667 y
r
- > a.
a S-
- ='65-S
- = 0.002
<a h
si-
.P45
'F*n si M
1-
?
.ep.
S
- = S s'
si' L
9 is-
. O'.005'
.s i,
S
'" Summary:t 1This calculation.is based-on no vegetation, and is arvery.
-conservative = estimate.of erosive-potentia 1.
It shows:that 4
Lthe;: cover will"be safe-from. erosion, without vegetation, p%
'during" the: PMP at a 0.5% slope._. ' Other,. less conservative.
n s
assessments follow I
<c
- The calculation'above assumes-a runoff concentration factor of-3.
Becausejthe cover is' assumed;to be farmed,' repairs to theEland;surfaceJ
- f. fi
.would.be.made that would prevent-the formation of gulleysi DThus, 'tho' V
/ factorcofi-3.is conservative.
A more reasonab'le-value-for this
+
4 k
fsituation is'i.'
ForLa concentration factor of 1, the 1ollowing rosults' are obtained.
+
~
-F
- =.1-t
= 0.037
- n
. 1.66667 j'
t a
S'
- =:65-S
= 0.006 ep Lsi'>
P2S
- F n si S
- = S.
1-s si n.
c a
4 k
Ic T:-,.,.
^
.', 0.
Q OJ pLqy
+
s
g= >;. J +,_ y s g
,s
../g, m s
3-..
s o
v 7ves n p.c a.;@ x,.
f$(p c(:; j
<Cimarrone _
q W 74
- /
8092111 k
7 g;JLG:3-16-90i
~
~
4 Page 5 of-6'-
q g
..y c
,S.
L= 0.012'
- f.,
/
'y i:
I V'
i" ' ;Chowr:pg 165, givesEa value of/ tau allowableLfor ordinary-.
i
..3
' firm; loam. of'Q.075 lbs/ft2,-.using that value, j
3 i
3 r
s
?.1.'
.t a
p 'j t
s j
.)
y yn, M
,3 7,.7 :. o,o73-
~. -
m a _..
7,
,e, is.
- nor=.0.025-F
- =L3' p:, pj 'R._
y
's -
2 o
- J j
N.7
.- Ja$':
e -
a,_-
y e"
, 9 E
-1.66667'-
g. --
1 :r, g; u.
~
7, el (lC r
U'
)
g
' g-r
(!
Si
.- : =. 65-s ;i f'
9 m.4 s11
,P S
- F n '
'i s
t 7
<v
-1 lr w.:, -
-.i~;gi p' '
y,-
's ff,= 0.005-(y
[ yss, q o_-
- sic a
W'
- t
+i y
\\. m Q-x S-2:=-S
- f T
ep 1
% c, -
3 w, "s,
st?
,f g.
" 7f t'
,s
,1 1.1 -
m
. s ;.-
= o,. 0 1 l r-I m
ea rg '
j 0, t 4
mti
[.p t ';
t.
.,Aif n
- $ K.
iThumi-usingjthe; values in Chow, the, slope:is erosion-resistant 1
'W 4
w
_for. slopes upito 1*/.-
~
1
[y s
'I
' N[.
,Forcthe runoff-concentration' factor-='1,.
1 c;!
1 a
<T q%
a L
n F := W
- 1.66667; I
w.
e+
n-
).
t;i?,,
x
.T
~@>
+
a
'F 4
}
4
- s us
,65-Si
'=-0.
15,
_s1>
si PS
'Fn si M
P.
v-3 i,y, q
mcq9..
,4 f* W ep.
o y~
- f" y
.-_ s 3._,s s
@g '
J s
.sii M
1
- ;g J
+,..
w._
?~
S:
=co.027 1
.L n
's~
[: _
-l-t" (Thus,tusing_a7 concentration factor of 1 indicates that the-cover'15-4[
t
- t. (,
7.
safe:for slopes-less thantabout-2.5%
A k
^
P y+,
j 4
m
".. <c; s
l,..
- l'
['
>m 1
- , 'm!'mcW 1
a
-s o u -
Hj l
}yi.i.Wb;;; Ad@t t x.
f e
y a
..o=,=
f., *
- Cimarron 800211 1
- JLG 3-26-90 Page 6 of 6 I'
For poor grass, using an MPV of 3.5 fps, Chow, table 7-6 and using table 7-3, clear water column, to convert to a
. tau max ofs about 0.25, we get r
- = 0.25 a
F t* 3 1.6667-t a
S
- = 65 -
S
= 0.006 si PS Fn n1 1
ep S
t=
S s-si S
='O.059 or about a 6% slope s
for F = 1, F := 1 1.666667
.T a
S
- = 65-S
= 0.109 al P'S Fn c1 1
ep S
- = S S
= 0.15-a si s
Conclusions, The slope is safe from erosion even under the PMP for slopes
.between about 1% to 3% without any vegetative cover (0.5 to 1% for the more conservative F=3.
A Poor Grass stand will protect evan
-c steeper slopes (6% for F=3, 15% for F=1).
i