The Tools of Power - Rowland
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Transcript of The Tools of Power - Rowland
THE TOOLS OF POWER POWER:
The Bond Work Index, A Tool To Measure Grinding Efficiency
C. A. Rowland, Jr. Senior Process-Project Engineer /-. -
Yining Systems Division , IJ
Allis-Chalmers Corporation - - Milwaukee, Wisconsin
. , - - ... ,
For presentation at the 1976 SME-AIME Fall Meeting & Exhibit Denver, Colorado - September 1-3, 1976
PREPRINT NUMBER
76-B-311 .mi . A1 , ? E m - % 4c
-1-
~ D U ~ ~
With the rapidly rising cost for electrical energy and the long range pre-
dictions for continued rising costs and ewn possible energy shortages, operation
of rod, b d l , autogenous and partial autogauxls grinding circuits to efficiently
u t i l i ze the pwer delivered to the mills w i l l be a d e d . This calls for a wthod
to evaluate grinding circuit: p e r f o m c e that is accurate, reliable and readily
usable as an operating tool by supervisory, technical and operating personnel.
Neither the Rittinger a d Kick theories of camhution, which preceded
the Bond Theory by m r e than 50 years, had a mthematical mans that could be
used to predict and evaluate the perfonrwce of crushers and grinding mills used
to comninute ores and rocks. This severly Limitd the practical use of these two
theories, whichmre confzadictory to each other. They have been superseded by
the Bond Third Theory of ccminution. (1)
DISCUSSION
In addition to the Third Theory of 'kminution, better known as the Bond
Theory, Red Bond mde three significant contributions to ass is t in the efforts
t o change the art of cominut ih into a science.
1) The Bond rod milling and ba l l milling closed circuit grindability tests.
2) The Bond impact crusher tes ts .
3) The Bond equation, the mathematical statemnt for applying Bond Theory
of Comminution. (1)
Where W = Wk hrs. per short ton (907.44 kilograms).
wi = iyrork Index
P = Product size in m i m e t e r s which 80;L passes
F = Feed size in m i c m t e r s which 8VL passes
Power per metric tome (1000 k i l o g r m ) can be obtained by multiplying W by 1.102.
Grinding power calculated, h e n using work indices obtained from Bond
- 2- (2)
grindability tests in the Band Equation, is for the follu~iTlg specific conditions:
1) Rod Ni.lling - wet, open cikcuit grin- in a 2.44 lrrter (8') dianrter
inside liners rod m i l l .
2) Bdll Nilling - wet closed circuit grinding in a 2.44 naeter (8') W t e r
, inside liners bal l m i l l .
3) P a ~ e r calculated is the p w e r required a t the pinion sha£t of the mill ,
which includes m i l l bearings and gear and pinion losses, but does not
include m t o r losses o r losses in any other drive cmpments, such as
reducers and clutches.
There are eight efficiency factors that are applied to the calculated grind-
ing p u m to a l l m for variations fram the specified conditions as related to the
grinding circuit and equipznt used. The background and reasons for these have
been published ( I ) , (2), (3) and are not part of the discussion. The factors are:
EF1 Dry Grinding
EF2 Open Circuit Bdll Milling
EF3 Di-ter Efficiency Factor
EFq Oversized Feed
EFj Fine grinding in bal l mills to product sizes finer than 8U77 passing 200
msh (75 microueters)
EX6 High or IWJ ra t i o or reduction rod milling
EX7 LorJ Ratio or reduction bal l milling
EF8 Rod Hilling
When accurate, Mill Feed Rate, M i l l Parer , Feed and Product Size Analysis
data are available, using the Bond Equation as shown, m r k indices can be calcula-
ted. To distinguish these fnrm ~mrk indices (ITi) obtained from grindability tes ts
~urk indices calculated frm operating &ta are designated as !.Jio.
In using this equation, the feed is the feed to the grinding circuit and the
76-B-311
-3-
product is the product fran the circuit. In a closed circuit operation, do not
use the f e d into and the discharge from the mill as is done with an open circuit
mill. Work index is a ueasure of grindability for the work to be done o r dune in
grinding the circuit feed t o the circuit product.
Operating rark index has the sane definition as ' tmk index1'(') which states
that "wrk in& is the required to break a hnmgenous material from a
theoretically infinite feed size to 8W0 pass- 100 micrmters". Thus, by defi-
nition, wrk indices calculated fran operating data always relate the operating
Qta fram which Wio is calculated, to the s a m feed size and product size as
giwn in the Mini t ion ; n a ~ l y , f rom a theoretically infinite feed s ize to 80??
passing 100 m i c m t e r s .
Thus, operating rmk hdex can be used for in-plant grinding mill reporting
and grinding studies such as :
I) Record m i l l p e r f o m c e on an hourly, daily, weekly or m t h l y basis,
whichever is desired.
2) Ccqare current p e r f o m c e with past p e r f m c e .
3) Cornpare c'kcuits in a d t i - c i r c u i t plant.
4) In plants ~$-ith two or mre grindjng circuits, one or m r e circuits can be
used as a standard, with others as tes t circuits for testing the effect
of such variables as:
a) dl1 spee&
b) size of grinding media
C) feed size
d) product size
e) ~ n x r n t of grinding mdia in m i l l
f ) liner designs
g) liner wear
h) changes in ore .
5) ikasure grinding efficiency.
GRINDING EFFLCIENCJ
As calculated, operating work indices include mto r , drive knd grinding m i l l
efficiencies and inefficiencies, therefore, are not directly comparable t o mrk
indices obtained from grindability tes ts performed on the same m i l l feed, without
the application of correction factors.,
M i l l parer as m u r e d in many p lmts is m t o r input pmer, that i s , electri-
cal energy going into the w t o r . It has to be converted to power a t the m i l l
pinionshaft. This is done by applying the m t o r efficiency factor (electrical and
mchanical losses) to obtain w t o r output pwer. I f the plant does not have the
w t o r efficiency data, it can be obtained £ran the m t o r mmfacturer. When the
mto r i s coupled direct t o the pinionshaft, notor output pmer is m i l l pinionshaft
power. I f a speed reducer or other drive element i s used between the m t o r and the
pinion shaft, then the efficiency of the units used must be applied t o the mtor
output power to obtain pwer a t the m i l l pinion shaft.
The grin- efficiency factors should be 'applied as required t o place the
operating work i n d e ~ a t the same level as the results from grindability tests. The
operating work index so calculated is referfed to as Wioc. This operating work ,
index divided by the mrk index fran the grindability tes t gives a reasme of ,
grinding efficiency as a d t i p l i e r of grindability tes t results.
f ~ ) = Efficiency Factor
The efficiency of the grinding circui t is
100 [L) = -ding efficiency in percent wioc
The multipliers for the efficiency factors can be determined from the f01lm-k~:
EF1 - Dry grinding - for the same range of work as wet grinding, dry grinding
requires 1.3 tines as m h pmer as wet grinding.
EF2 - Open Circuit Grinding - when grinding in open circuit bal l mills, the
amunt of extra power required, compared to closed circuit bal l milling,
76-B-311
-5-
is a function of the degree of control required on the product produced
The inefficiency factors for open circuit grinding are given in Table I.
EF3 - D b ~ ~ t e r Efficiency Factor - using the base m i l l h t e r of 2.44 mters
(8') inside liners, the W t e r efficiency factor can be calculated
fran the following:
(4)
Table I1 gives a tabulation of EF'3 factors for some of the m r e comrpn m i l l
m t e r s in both the imperial and mtric measuring systems. This table S ~ J S
that when the m i l l d i a ~ t e r inside liners is larger than 3.81 ~ t e r s (12.5 ') that
the d.izmxer efficiency factor does not change and remains 0.914.
EFq - Oversized Feed - when the grinding m i l l is fed a coarser than optirrnrm
feed, this factor applies to rod milling and ba l l milling. The wst
frequent use is with single stage ba l l milling. This is the one
efficiency factor that is directly related to work index as is s h m in
the following equation:
Where Rr - Ratio of reduction = F H
(6)
Fo = Optiwrm feed size (7) Rod milling: 16,000
When available, use the mrk index fran a grindability tes t a t the desired
grind for Wi in equation 5. For equation 7 , if available, use either the work .
index from an impact t e s t o r a rod m i l l grindability test , xhich ever is higher
and for equation 8, use the work index from a rod mill grindability tes t , since
these m e represent: the coarse faction of the feed which is the portion of the
f&d coarser than optiuium. Tf not available, then use the grindability tes t re-
76-8-311
-6-
sults , available.
Without grindability tes t results, finding the proper work index figure to use
in equation 5 i s a trial and error calculation which can be p r o g r m d for a am-
puter. Using this approach, the nark index used in equation 5 should equal the
Wioc obtained, after applying EFq and al l other correction .factors t o the mrk
index calculated from operating data.
EF5 - Fineness of Grind Factor - chis applies to fine grinding when the 8VL pas-
size of the product (P) is finer than 75 miaomters (200 msh). The equa-
tion to determine this is:
EF6 - High or Low Ratio of Reduction Rod f i l l ing - the equation t o be used, un-
less :
L = Rod Length
This factor generally applies to low ratios of reduction, but its applica-
tion to high rat ios of reduction does not always apply and should be used
only if the Wioc i W i grinding efficiency factor indicates that it should be
used.
EF7 - Low Ratio of Reduction Ball M i l l - the need t o use this factor does not
occur very often as it only applies t o bal l milling when the Ratio of Re-
duccion is less than 6. This sham up p&ticularly in regrinding concen-
t rates and tailings. The equation for this i s :
EF8 - Rod Milling - a study of rod m i l l operations shows that rod m i l l perf-ce
is affected by the attention given to feeding a uniform feed size t o the
m i l l and the care given t o maintaining the rod charge. This efficiency
factor cannot be definitely determined. In selecting rod mills based upon
pmer calculated from grindability t e s t s , the following procedure has been
recomnmded (2) :
1) Idhen calculating rod m i l l power for a rod-ailling-only application, use
an inefficiency factor of 1.4 when the feed is to be prepared w i t h open
ci rcui t crushing, and use 1.2 h e n the feed .. is to be prepared with
closed c i rcui t crushing. The other milling efficiency factors also
rmst be applied t o the calculated. grin- power.
2) !hen calculating rod m i l l power for a rod mill-ball m i l l c i rcui t , do not
allm for i m p r m w t in the ba l l mill performance. I f the rod m i l l
feed is produced w i t h open ci rcui t crushing, apply a 1 .2 inefficiency
factor t o the pier calculated for the rod milling stage only. If the
rod m i l l feed w i l l consistently be 80"/. passing 1/2" o r finer, such as
produced with closed c i rcui t crushing, do not apply a rod m i l l ineffi-
ciency factor. The other milling efficiency factors also m t be
applied t o the calculated grinding p-.
While this factor i s used in selecting rod mills, the inabili ty to ma-
sure and define i t accurately reduces i t s value and significance in
calculating Wioc and therefore, should probably not be used in deter-
mining the efficiency of rod m i l l performance, However, hcwledge of
its existence can be helpful in analyzing rod m i l l p e r f o m c e .
MAMPLES
The f i r s t ~ W O exanples are given to show haw to calculate W i o and Wioc for
single stage ba l l mills. Figure 1. The f i r s t example is a couparisun of bm
parallel mills frcan a daily operating report. P i i l l s ize 5.03111 x 6. lm (16.5' x
KwHfi4tric tonne
W i l l 1 M i l l 2
10.8 11.3
Feed s ize (8W7 passing) nicraneters 7500 8600
Product Size (80'77 passing) micrometers 220 195
Calculated Work Index Wio (Equation 2) 19.33 18.58
Correct t o Pinionshaft Power Wtor 18.56 17.84 Efficiency 0.96
Convert t o Short Tons Nil t ip ly by 0.9074 16.83 16.18
D i i m e t e r Efficiency Divide by 0.914 (m3)
Ball mi l l grindabili ty t e s t a t 65 resh gave a W i - 14.5. Using this t o
calculate oversized feed factor:
E q = (See Equation 5) =
Divide by EFq
Wioc
Efficiency Factor = & =
W i
Efficiency in % 96 99
This example shows that M i l l 2 is sl ight ly m r e eff ic ient than M i l l 1 even I
though it has a higher pawer consumption per tome. This shows the use of the
mrk index equation taking into account the differences in feed and product sizes.
The calculation is only pa r t of the t o t a l plant performance study and must be I tied into the to ta l plant operation.
The next sample covers an in-plant study on the effect of mi l l speed on
m i l l performance. The two speeds being studied a re 68"/, and 73% of c r i t i c a l speed I in 5.03111 (16.5' d i e t e r inside she l l 16' inside liners) b a l l mills. This study I was over a period of four m t h s . Grindability t e s t s were nm on m t h l y coqxsite
samples of the feed t o each m i l l . The operating data, t e s t data and calculations
are given in Table T I I .
The data given in Table I1 can be campared in several ways. A cmparison
based upon pawer per ton cons~led is given in Table IIIA. This shows the differ-
ence in p e r per ton of mi l l circuit feed cormm~d without taking into account
the variations in mi l l c i rcu i t feed, mil l c i rcu i t product and grindabili t ies as
shown in data tabulated i n Table 111.
E l k b a t i n g variations in mill c i rcu i t feed and product, Table IIIB shows
the comparison based upon the w r k index calculated fkom the operating data (Wio).
The next comparison eliminates the variations caused by differences in the
grindability of the ore. This i s the unre accurate comparison as it compares
grinding circuit p e r f o m c e as referred t o a comrpn base or reference. Table
I I I C gives the comparison based upon Wioc. - W i
The next two exarples a r e fo r rod m i l l ba l l mi l l circuits. Figure 2 shars a
conventional rod mill-ball m i l l circuit. The data fo r this circuit and \Jio calcu-
lations are:
Rod mil l s ize 3 . h x 4.88m (11.5' x 16' diarneter inside shel l 3 . 3 5 ~ 1 1 '
4.72111 15.5' rods)
Ball m i l l s ize 4.7211 x 4.88m (15.5' x 16' cLim~ter inside she l l 4 . 5 7 ~ 1 5 ' )
Rod m i l l feed produced by closed c i rcu i t crushing mimanzters 14,500
Rod m i 1 1 product micro~z~ters 1300
Ratio of reduction 11. I5
Rod length t o mil l d k w t e r r a t i o 1.409
Optirmnn r a t i o of reduction L5.05
P m per mtiric tonne m t o r input Kw 4.2
m t o r efficiency % 95.6
Calculated operating mrk indeu W i o 21.62
On basis m t o r output x 0.956 20.67
On basis s b r t ton x 0.9074 18.76
Dianaeter factor + 0.939 (EF3)
Low r a t i o of reduction EF6
1 + (11.15 - ~ 5 . 0 5 ) ~ = 1.101 (divide) 18.15 1X)
'ioc
Rod mil l grindability test resul ts W i
Efficiency factor Wioc t W i 1.21
Grinding Efficiency in % 82.6
Ball mil l feed m i c r a t e r s 1300
Bdll mil l product m i c r m t e r s 115
Ball mi l l r a t i o of reduction 11.3
Power ~ e r mtric tonnemtor input Kw 9.2
Calculated operating work index TJio 15.75
On basis m t o r output
On basis s b r t ton x 0.9074
Diameter Factor .t EF3
Rod m i l l low r a t i o of reduction
Wioc
Ball mil l grindability t e s t resul ts W i
Ball mil l grindability test results W i
M i n e d 15.0 x 4.2 + 14.3 x 9.2 TI-4 27T4
Efficiency factor Wioc t W i
Grinding efficiency in %
This shms the rod mil l is inefficient while the b a l l mill is perfomring
efficiently bet ter than indicated from the grindability t e s t resul ts , with the
76-B-311
-u- overall circuit operating in l ine with grindability t e s t resul ts .
Figure 3 shows a rod mill-ball m i l l c i r cu i t with a concentration step be-
tween the rod mill and the ball 11611 with the tailings being ren~ved from the
c i rcui t . There is also a concentration s tep between the ba311 m i l l and the
c lass i f ier . In det- grinding efficiency, each stage is considered as a
single stage. The power per tonne for rod milling is determined fran the rod
mi l l feed r a t e and the pier per tonne for b a l l milling is &tennined £ram the
b a l l mi l l feed r a t e .
Pod mill size 4.27 x 6 .lm (14' x 20' diameter inside she l l 4 . I .h - 13.5'
5.94~1 19.5' rods).
Ball m i l l size 5.03m x 7.62111 (16.5' x 25' diameter, inside shel l 4.88111 16.0')
Rod m i l l feed produced by closed c i r cu i t crushing micr~~l~ters 19,000
Rod m i l l product m i c r m t e r s 1300
Ratio of reduction 14.62
Rod length to mill a t e r r a t i o 1.44
O p t k r a t i o of reduction L5.22
Power per short ton m t o r input Kw
l%tor efficiency %
Calculated operating work index Wio 25.59
On basis m t o r output x 0.952
Diameter factor + 0.914 (EF3)
Rod mil l grindabil i ty t e s t results Wi 16.5
Oversized feed factor EFq -P-
Divide 24.65 by 1.22
'ioc
Efficiency factor Wioc + W i
Grinding Efficiency in %
Note the efficiency factor of 1.22 lines up with the 1.2 factor recomtx=nded for
selecting rod mills for rod milling circuit when feed is produced with closed cir-
cuit crushing.
B a l l mill feed micrmters 1450
B a l l mill product A-2nd concentration stage tailings size micrmters 90
Bdll m i l l product B-classifier fines size micrmters
Combined ba l l mill products microwters
Power per short ton mto r input Kw 13.8
bbtor efficiency %
Calculated Operating Work Index W i o
On basis nutor output x 0.952
D i a w t e r factor + 0.914 (EF3)
Fineness of grind factor E3'5
Divide 11.86 by 1.07 11.08
Ball mill grindability tes t results W i 11.43
Efficiency factor Wioc 5 Wi
Grinding effiency in %
The four matqles were given to show how the Bond mrk index equation can
be used to evaluate grinding m i l l p e r f o m c e , report m i l l operating data and
evaluate in-plant grinding studies.
It has been determined that kvrk indices obtained from standard Bond
Grindability Tests cannot be used to determine the p m e r required for grinding in
primary autogenous and partial autogenous grinding circuits. (4) However, cal-
culating ~mrk indices £rm operating data i s satisfactory for dusting the
performnce of such circuits. When compared with the work indices obtained from
corresponding grindability and %act tes t s , the perfomace of autogenous
and part ial autogenous circxits can be rated.
Table IV is a copy of a -one m t h conrputer runoff sheet on which daily
operating data and the mrk indices cdculated from the operating data for an
autogenuus m i l l are tabulated. This is a typical sheet showing what can be done.
The feed size is generally not used in this calculation for primvy autogenous
and part ial autogenous mills, in that the feed (10 +*) factor bec-s insigni-
ficant because of the large size of the feed.
(5) Bassarear and Horst, in t h e e paper on evaluating plant performme,
i l lus t ra te how work index data can be used t o evaluate process p e r f o m c e and
mdifications. They particularly discussed the semi-autogenous-ball mill grind-
ing circuits a t Cyprus Pima and the use of computer based controls. The simpli-
fied grindability t e s t procedure employed for the Pina ore types vm developed to
give work index as defined by Band and includes periodic chedcingwith standard
Bond Grindability tests. Tests such as this can be used for specific ores whcxe
there is not a wide variation in suecific gravity and in breakage patterns.
For secondary autogenous grinding (pebble milling) Bond Grindability Tests
can be used to determine grinding power to this add the power required to wear the
ore ~ d i a from media size t o mill feed size. PEll performance can be measured
using the s a procedure for evaluating ba l l m i l l performance in a rod mill-ball
mill circuit .
EWUEMZD CkWXATIONS AND ANDmL CSRCUrrS
Relative to its use in computer programs for controlling a grinding circuit
or reporting grinding circuit performme, a correct understanding of the Bond
Equation and the term ' k r k indextt is required. The Band Equation measures mrk
done or to be done. Wark index as defied is power. Since there is no factor in
the equation that takes into account the classification function, the Bond Equa-
tion is not a math mdel for a closed grinding circuit. Being a masure of
- 14-
grindability, work index can be used in m t h rrodels when a grindability £unction
is called for.
To use the Bond Work Index equation in c-uterized programs for mea&5ng
m i l l performance and controlling grinding circuits in addition to power and feed
ra te data either on-line size masming equi-t or k t h mdels that w i l l
ma tha t i ca l l y determine the 80% passing size in micrmeters of the feed and pro-
duce size are required. Unless it is a widely fluctuating variable it i s possible
to use a constant value for the feed size which should be checked periodically.
However, with computer control and ~ ~ ~ a s u r e t r m t , the product s ize has to be con-
stantly k t o r e d .
CONCLUSION
Work indices calculated from operating data, either m u a l l y or by computer, with
or without comparison t o work indices obtained fran grindability tes ts , can be
used t o indicate grinding circuits that are operating inefficiently. Work indices
however, do not indicate the cause for the inefficient use of grinding power, nor
do they indicate the acceptability of the product produced by the grinding c i rcu i t
~upenrisory, technical and operating personnel studying the operating data
and chec !g the operation of the plant can determine the cause for any ineffi-
cient use of p m and the acceptability of the product produced.
The Bond equation util izing knxk index as the measure of grindability i s an
accurate, reliable &~d readily usable rnethod to obtain a consistent measuremnt
of grinding circui t performance. It takes into account variations in feed size
and product size with the work index calculated fran the operating data reflecting
either changes in the grihdability or changes in efficiency. Work indices cal-
culated fr& operating data, hen compared to work indices obtained from Bond
Grindability tests for the same m i l l feed, give a direct measure of grinding
efficiency. The Bond Equation and the equations for the associated efficiency
factors can be used by plant supervisory and technical personnel and can also be
used in corcputer prograns for reporting and/or process control. The Band Equa-
tion and work index are useful tools in evaluating grinding circuit performance to
help m x k k e the use of the pmer delivked to g r i n d k g circuits in minerals Dro-
cessing plants.
PmERENCES *
(1) Bond, F. C. "Crushing & Grinding Calculations", British Chemical Engine-,
June 1960, pp. 378-385 and 543-548. (Revised January 1961, Allis-Chalmers
publicaticm OX-9235B).
(2) Rowland, C. A., Jr. "Grinding Calculations Related to the Application of
. Large Rod and Ball Mills", Canadian Journal, Vol. 93, No. 6, June 1972 I
(3) Rowland, C. A. Jr. , "Comparison of Work W c e s Calculated Ram Operating
I Data with Those From Laboratory Test Data", Proceedings Tenth Internationdl
Minerals Processing Congress 1973, pp. 47-61.
(4) Rowland, C.A. , Jr. and Kjos , D. M. , "htogmous and Semi-Autogenous Mill
Selection and Design", presented to SME Meeting, Acapdco, Mexico, Sept.
TABU I
OPEN C n z c u r r TNEFFlcmCY MUL-
Product Size Control Reference % Pass-
Inefficiency Multiplier
M i l l IxaEter M i l l I>iameter Eamter Efficiency Inside Shell Inside Liners M t i p l i e r
Feet Meters Feet Meters
3.0 0.914 2.6 0.79 1.25 3.281 1 .0 2.88 0.88 1.23 4.0 1.22 3.6 1.10 1.17 5.0 1.52 4.6 1.40 1.12 6.0 1.83 5.6 1.71 1.075 6.562 2.0 5.96 1.82 1.06 7.0 2.13 6.5 1.98 1.042 8.0 2.44 7.5 2.29 1.014 3.5 2.59 8.0 2.44 1.000 Base 9.0 2.74 0.992 9.5 2.90 2 :::: . 0.977 9.843 3.0 9.34 2.85 0.970
0 3.05 9 .5 2.90 0.966 10.5 3.20 10.0 3.05 0.956 11.0 3.35 10.5 3.20 0.948 11.5 3.51 11.0 3.35 0.939 12.0 3.66 11.5 3.51 0.931 12.5 3.81 12.0 3.66 0.923 13.0 3.96 12.5 3.81 0.914 13.124 4.00 12.62 3.85 0.914
TABL
E I1
1
(CO
NTI
NU
ED)
IN-P
LAN
T GRINDING S
TUDY
DES
CRIP
TIO
N
Feed
Siz
e 80
% P
assi
ng
Pro
duct
Siz
e 80
% P
assi
ng
Feed
Rat
e TPH
Ave
rage
Pay
er K
w
Red
ucti
on R
atio
KwH/T
&to
r In
put
(Eff
icie
ncy
: 93
%)
KwH/T
at
Mil
l P
inio
nsh
aft
Wio
(O
pera
tigg
Wor
k In
dex)
M
i11
Dia
met
er E
ffic
ien
cy E
D
Ove
rsiz
ed F
eed
Fac
tor
EF4
Wio
c:
Gri
nd
abil
ity
Tes
t E
quiv
alen
t G
rin
dab
ilit
y T
est
Res
ult
s Wi
Rod
Mil
lin
g @
118
0 um
(14
Mes
h)
Bal
l M
illi
ng
@ 2
12 u
m
(65
Mes
h)
Bal
l M
illi
ng
@ u
rn
(100
Mes
h)
Eff
icie
ncy
Fac
tor
Wio
c t. Wi
(Wi
used
was
at
212
urn)
G
rind
ing
Eff
icie
ncy
in %
Ap
ril,
191
5 I
68%
14
i.11
A
1697
6 25
8 23
8 22
83
65
.8
9.59
8.9
2
16.3
4 0.
914
1.3
6
13.1
5
13
.8
14
.0
13
.4
0.9
4
103.
6
CS M
ill
B
1648
9 24
3 24
5 23
30
67.9
9.
51
8.84
15
.68
0.91
4 1
.33
12
.90
16
.3
13
.2
15
.3
0.9
8
10
2.3
Mil
C 15
779
236
278
2548
6
6.9
9.
17
8.52
1
4.9
3
0.91
4 1
.30
12
.57
15
.8
13
.0
13
.1
0.9
7
10
3.4
Mil
l D
1
1524
2 25
1 25
8 24
45
60.7
9
.48
8.8
1
16
.01
0.
914
1.3
9
12
.60
16
.1
14
.3
13
.3
0.88
1
13
.5
TABLE I11 A C'LEQAFCLSON BY PER TON (KwH/T)
6877 CS 7% CS 14mth - Nil1 A M i l l B Average Mill C Mill D Average
Januar~ 10.68 10.15' 10.4l-5 10.13 ---- 10.U
February 10.42 9.68 10.14 9.43 ---- 9.43
March 10.42 10.10 10.26 9.79 10.52 10.155
4 r i l 9.59 9.51 9.55 9.17 9.48 9.325
' TABLE I11 B ahCIPARIS(3N BY OPEXTJX TXIE INI?EX Wio)
68% CS 7% CS b t h - fill A W l B Average Mill C Mill D Average
Januar~ 16.51 16.21 16.36 16.48 ---- 16.48
February 16.53 15.72 16.12 15.54 ---- 15.54
Elarch 16.94 15.69 16.31 14.97 16.51 15.74
April 16.34 15.68 16.01 14.93 16.01 15.47
TABI;E I11 C 'io, COMPARISON BY EFFICIENCY FACrOR - 68% CS 73% CS
bpm Mill A Mill B Average Mill C Mill D Average
Jrnuar~ 1.04 1.22 1.13 1.01 --- 1.01
February 0.97 0.91 0.94 0.91 --- 0.91
April 0.94 0.98 0.96 0.97 0.88 0.925
TABLE IV
Gross HP-HR
Crude Gross Feed HPWTX LTPH
4738. 14.9 254.7 5432. 13.8 249.2 5487. 14.3 252.9 6076. 15.4 259.7 5451. 15.5 234.0 4713. 17.6 266.3 5711. 17.5 275.9 5308. 16.9 252.8 5601. 15.6 245.7 4705. 14.6 217.8 5975. 15.8 250.0 5350. 13.5 223.9
4534. 14.3 188.9
M i l l HR HP
%-500 P80 Mesh
752. 35.5 701. 33.5
1116. 23.0 664. 31.5
15L5. 10.5 818. 35.5 136. 59.5
1086. 33.4 1142. 29.5 961. 16.0
1121. 30.0 818. 26.0
775. 21.5
Date s/lm-
8/2/75 8/3/75
Weighted Average
FEEDER $7
BALL MILL 1
SUMP .1
PUMP
CIRCUIT PRODUCT CL4SSIFIER OVERSIZE
SINGLE STAGE BALL MILL CIRCUIT
FIGURE 1
FEEDER 4-
ROD I'lILL -1
SUMP I <-q, -&
PUMP &
CIRCUIT PRODUCT CLASSIFIER
0.~~9 BALL MILL
ROD l l ILL - BALL MILL CIRCUIT
FIGURE 2
FEEDER I
ROD MILL I 4 ROD MILL PRODUCT
TO MASTE-; ST CONCENTRATIOt4 STAGE
CONCENTRATES BALL MILL FEED
TO WASTE~-----------~ND CONCENTRATIOPI STAGE BALL MILL t
PRODUCT A I CONCENTRATES
\L PUMP
FINES BALL MILL PRODUCT CLASS I F I ER
ROD NILL - COMCEfiTRATION - BALL T.IILL C I R C U I T
FIGURE 3