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IMNr 


(^ick      SuuOU 


1 


COST  OF 

UNDERGROUND 

COAL  MINING 

IN   ILLINOIS 


November  1982 

Illinois  Mineral  Notes  84 

Illinois  Department  of  Energy  and  Natural  Resources 

STATE  GEOLOGICAL  SURVEY  DIVISION 


Subhash  Bhagwat 
Philip  Robare 


Cover  design:   Craig  Ronto 


Editor:   Ellen  Stenzel 


Bhagwat,  Subhash 

Cost  of  underground  coal  mining  in  Illinois/  Subhash  Bhagwat 
and  Philip  Robare.  --  Champaign,  IL  :  Illinois  State  Geological 
Survey,  November  1982. 

14  p.  ;  28  cm.  -  (Illinois-Geological  Survey.  Illinois  mineral 
notes   ;  84). 

1.    Coal  mines  and  mining-Costs.     I.     Title.     II.     Robare,  Philip. 
III.  Series. 


ILLINOIS  STATE  GEOLOGICAL  SURVEY 


Printed  by  authority  of  the  State  of  Illinois:    IMN  84/1982/1800. 


3  3051  00005  9927 


COST  OF 

UNDERGROUND 

COAL  MINING 

IN   ILLINOIS 


Subhash  Bhagwat 
Philip  Robare 


CONTENTS 

Introduction 

The  Model 

Limiting  Factors 

Discussion  of  the  Model  Results 

Concluding  Observations 

References 

Appendix  A 

ILLINOIS  KalCAL      Appendix  B 

SURVE-  Y 

m 10  ib*a 


ILLINOIS  STATE  GEOLOGICAL  SURVEY 
Robert  E.  Bergstrom,  Chief 

Natural  Resources  Building 

615  East  Peabody  Drive  ILLINOIS  MINERAL  NOTES  84 

Champaign,  I L  61820  November  1982 


Cost  of  Underground  Coal  Mining  in  Illinois 

Illinois  State  Geological  Survey  Illinois  Mineral  Notes  84 

PaRge dumber  2:   for  Every  100  ton  increase  read  Every  10  ton  increase 


COST  OF 

UNDERGROUND 

COAL  MINING 

IN   ILLINOIS 


INTRODUCTION 

Economic  data  on  the  coal  industry  is  limited  to  annual 
production,  sales,  and  coal  prices.  Not  much  is  published 
about  the  cost  of  existing  mine  operations  and  about  how 
various  factors  correlate  to  cost  per  ton  of  clean  coal. 
The  objective  of  this  report  is  to  use  easily  available  data 
and  parameters  to  develop  information  on  the  cost  of  under- 
ground mining  in  Illinois,  and  to  use  the  information  for 
mine  comparisons  as  well  as  for  regression  analysis  of 
the  factors  that  significantly  explain  the  variability  in  cost 
per  ton. 

The  approach  used  in  this  investigation  is  similar  to 
the  engineering  analysis  approach  used  in  the  Electric 
Power  Research  Insitute's  (EPRI)  cost  model  for  under- 
ground coal  mines  (1).  This  report,  however,  limits  itself 
to  existing  mines  only  and  does  not  use  the  broader  mine- 
planning  and  financial -analysis  approach  emphasized  in 
the  EPRI  model.  Other  models  have  been  developed  for  the 
purpose  of  cost  estimation  in  underground  coal  mines,  most 
notably  by  the  U.S.  Bureau  of  Mines  (2),  using  the  same 
engineering-analysis  approach.  Basically,  our  model  is  not 
new.  The  value  of  our  model  lies  in  its  application  to 
existing  mines.  Illinois  underground  mines  are  suitable 
for  this  kind  of  investigation  because  of  their  large  average 
production  per  year  (more  than  1  million  tons  per  year 
compared  to  the  national  average  of  less  than  200,000 
tons  per  year).  Furthermore,  there  were  only  30  under- 
ground mines  in  1980  and  all  could  be  included  in  the 
investigation,  which  obviated  the  task  of  selecting  represen- 
tative mines.  Thus,  the  conclusions  drawn  from  their  analy- 
sis are  statistically  valid  for  the  purpose  of  assessing  costs 
of  future  underground  mines.  Availability  and  reliability 
of  data  do  not  pose  significant  problems  in  Illinois  as  all 
data  are  taken  from  reports  filed  with  the  Illinois  Depart- 
ment of  Mines  and  Minerals. 


COST  OF    UNDERGROUND  COAL  MINING    IN    ILLINOIS 


Technical  data 
collection/filing 


Engineering  analysis  of  the 

existing  underground 

coal  mines 

I 

Input  of  technical 
data  on  mines 

♦ 

Input  of 
economic  data 

Economic  data 
gathering/filing 


1 


Mine  development 
submodel 


Mine  operation  and 
maintenance  submodel 


Underground  haulage 
system  submodel 


Coal  preparation 
plant  submodel 


* 


Total  cost 
per  ton  clean  coal 


Simple  and  multiple 
regression  analyses 


♦ 


Graphic  outputs 


ISGS   1982 


Interpretation  of 
results  by  user 


Figure  1.   Schematic  of  the  model  for  calculation  of  cost  of  mining  coal  by  underground  methods. 


THE   MODEL 

Engineering  analysis  (fig.  1)  involves  categorization  of 
mines  by  the  type  of  mine  opening,  the  mining  technology 
used,  and  the  determination  of  mathematical  cost  functions 
for  each  (Appendix  A).  Three  types  of  mine  openings 
occur  in  Illinois— shaft,  slope,  and  drift.  In  1980,  seven  of  a 
total  30  mines  had  both  a  shaft  and  a  slope.  Five  mines 
employed  longwall  technology,  whereas  25  worked  con- 
ventionally, using  room -and -pillar  technology. 

Technical  data  include  seam  depth  and  thickness, 
numbers  and  types  of  equipment,  number  of  labor  and 
supervisory  personnel,  number  of  workdays  per  year  and 
shifts  per  day,  size  of  1980  annual  production,  types  of 
coal  cleaning  practiced,  and  mine  age.  The  data  are  readily 
available  from  publications  of  the  Illinois  Department  of 
Mines  and  Minerals  (4)  and  the  Keystone  Coal  Industry 
Manual  (5). 


Economic  data  were  collected  from  various  sources 
(1 ,2,3;  and  personal  communications)  and  include  costs  of 
equipment  (1980  dollar  base),  energy,  shaft  sinking,  slope 
and  drift  construction,  drift  portal  construction,  labor, 
overhead,  and  royalties;  investments  in  preparation  plants 
(dollars  per  ton  annual  capacity); and  the  material  consump- 
tion ratio  (percent  of  operating  costs).  No  distinctions 
were  made  between  individual  mines  regarding  the  eco- 
nomic data. 

Mathematical  relationships  established  in  the  engi- 
neering analysis  as  well  as  the  subsequent  data  collection 
were  used  to  calculate  the  total  cost  per  ton  clean  coal 
in  four  submodels  on  mine  development,  operation  and 
maintenance,  haulage,  and  coal  preparation. 

Regression  analyses,  simple  and  multiple,  were  per- 
formed with  cost  per  ton  clean  coal  as  the  dependent 


ISGS/ILLINOIS   MINERAL  NOTES   84 


variable  and  the  following  as  independent  variables:  mine 
development  cost  (dollars  per  ton  annual  capacity),  depth, 
seam  thickness,  mine  age,  annual  production,  labor  pro- 
ductivity (tons  per  worker-year),  total  investment  in  equip- 
ment, and  the  level  of  coal  cleaning.  Simple  regression 
analyses  were  also  performed  to  determine  the  relations 
of  some  independent  variables. 


LIMITING   FACTORS 

The  analysis  is  based  on  results  computed  from  27  of  the 
30  underground  coal  mines  operating  in  Illinois  in  1980. 
Three  mines  were  not  included  because  of  production 
problems.  No  distinction  was  made  between  conventional 
mines  and  those  using  longwall  technology  because  of  the 
small  number  of  longwall  mines,  all  operated  by  the  same 
company  under  similar  conditions  of  seam  depth  and 
thickness.  The  total  number  of  longwalls  in  Illinois  mines 
is  too  small  to  be  investigated  alone. 

The  areal  expansion  of  a  mine  depends  essentially 
upon  its  age,  annual  production,  and  seam  thickness. 
Since  the  three  factors  vary  considerably  in  Illinois,  incor- 
porating the  variations  in  mine  expanse  into  the  model 
would  involve  additional  data  collection  but  not  signifi- 
cantly add  to  the  accuracy  of  the  model.  Therefore,  a 
uniform  pattern  of  main  entries,  cross  cuts,  and  section- 
entry  lengths  was  assumed  for  all  mines.  As  a  result,  the 
cost  calculations  of  the  submodels  on  haulage  and  main- 
tenance must  show  some  inconsistencies.  However,  the 
overall  effects  of  the  inconsistencies  are  estimated  to  be 
minimal  because  mine  expanse  is  inversely  related  to  seam 
thickness,  and  the  annual  production  of  a  mine  is  exponen- 
tially related  to  the  increase  in  the  field  radius. 

For  example:  A  mine  with  500,000  tons  per 
year  production  from  a  5 -foot  seam  expands 
at  a  rate  of  56  acres  per  year,  while  a  mine  pro- 
ducing 3  million  tons'  per  year  from  a  7 -foot 
seam  expands  at  a  rate  of  238  acres  per  year.  In 
the  former  case,  the  radius  equals  300  yards  as 
compared  with  600  yards  for  the  larger  mine. 
Thus,  although  the  production  in  the  latter  case 
is  6  times  larger  than  the  former,  the  mean  trans- 
portation length  is  only  2  times  the  former  length. 

Geologic  factors  (roof  and  floor  conditions,  tectonic 
disturbances)  and  operational  factors  (implementation  of 
health  and  safety  regulations,  differences  in  maintenance 
man-hours  between  mines)  have  not  been  explicitly  built 


into  the  model.  This  simplification  is  not  considered 
significant,  however,  because  productivity  (tons  per  worker- 
year)  indirectly  covers  the  omitted  factors  better  than 
individual  coverage  of  all  the  factors  could. 

It  has  been  assumed  that  mining  equipment  is  replaced 
after  10  years.  This  may  not  be  true  for  some  mines,  thus 
resulting  in  some  errors  in  estimating  costs.  Also,  prices 
used  are  from  the  higher  end  of  the  price  range  for  each 
type  of  equipment,  contributing  somewhat  to  cost 
overestimates.  Moreover,  a  100-percent  debt  financing 
is  assumed  instead  of  the  50-percent  rate  used  by  other 
models.  Based  on  the  volume  of  investments  required, 
we  expect  total  debt  financing  in  the  future. 


DISCUSSION  OF  THE  MODEL  RESULTS 

Cost  per  Ton  of  Clean  Coal 

The  cost  of  underground  coal  mines  and  coal  cleaning 
in  Illinois  ranged  from  $14.20  to  $40.70  per  ton  of  clean 
coal  (fig.  2).  The  overall  weighted  average  cost  per  ton 
of  clean  coal  was  $23.70.  The  estimated  1980  average 
value  of  coal  mined  by  underground  methods  in  Illinois 
was  about  $26.00  per  ton. 

The  seven  mines  displaying  costs  less  than  $20.00  per 
ton  of  clean  coal  averaged  2  million  tons  annual  production 
per  mine,  and  a  correspondingly  high  labor  productivity 
of  3,600  tons  per  person  per  year.  In  comparison,  the 
average  of  all  Illinois  underground  coal  mines  for  1980 
was  1.16  million  tons  production  per  mine  and  a  labor 
productivity  of  2,775  tons  per  person  per  year.  Three  out 
of  five  mines  that  did  not  clean  their  coal  displayed  costs 
less  than  $20.00  per  ton,  while  the  remaining  two  mines 
were  close  to  the  overall  average  costs  of  $23.70  per  ton, 
indicating  the  importance  of  having  coal  reserves  with 
low  ash,  low  sulphur,  and  high  Btu. 

Of  the  seven  mines  with  costs  more  than  $30.00  per 
ton  clean  coal,  one  was  shut  down  in  1981.  Three  other 
mines  in  this  group  had  yet  to  reach  their  planned  pro- 
duction in  1980  as  they  were  relatively  new  mines.  In  the 
remaining  three  mines,  a  combination  of  thin  seams,  use  of 
conventional  cutters  instead  of  modern  continuous  miners, 
and  difficult  roof  conditions  (observed  by  ISGS  geologists), 
resulted  in  high  costs  per  ton. 

Cost  per  ton  in  mines  using  longwall  technology  did  not 
differ  significantly  from  the  overall  weighted  average  cost 
of  all  Illinois  underground  mines  indicating  that  the  mines 
may  be  successfully  using  the  longwall  technology  in  spite 
of  encountering  some  difficult  geologic  roof  conditions. 


COST  OF   UNDERGROUND  COAL   MINING    IN    ILLINOIS 


6- 


E     5 


a)      4  - 

.O 

E 

I     3 


Figure  2 


<20  20-25  25-30  30-35 

Cost  category  ($/ton) 


>35 

ISGS    1982 


4H- 

£    40- 

• 

■ 

o 

u 

• 

c 

• 

S    32- 

u 

• 

o 

% 

c 

2    24- 

• 

• 

■ 

•          •   • 

a 

M 

.          • 

(A 

£    16 

• 
• 

• 

8 

0- 

1                             T 

200 


Figure  3. 


Simple  Regression  Analyses 

Simple  regression  analyses  were  performed,  and  an  attempt 
was  made  to  determine  whether  a  statistical  correlation 
exists  between  cost  per  ton  clean  coal  (dependent  variable) 
and  the  following  independent  variables: 

Depth  (feet) 

Level  of  coal  cleaning  (0  through  4) 

Age  of  mine  (years) 

Mine  development  cost 

(dollars  per  ton  annual  production) 
Annual  production  (tons  per  year) 
Labor  productivity  (tons  per  worker  per  year) 
Seam  thickness  (feet) 

Depth  of  mines  (fig.  3)  seemed  to  have  little  effect  on  cost 
of  coal  production  per  ton.  Although  a  trend  line  could 
be  drawn  to  indicate  rising  cost  per  ton  as  depth  increases, 
the  confidence  interval  of  the  slope  of  the  trend  line  at 
90  percent  confidence  level  included  the  zero  value  for 
the  slope,  indicating  that  no  definite  relationship  between 
mine  depth  and  cost  per  ton  exists  in  Illinois. 

As  indicated  in  figures  4  and  5,  level  of  coal  cleaning 
and  mine  age  indicate  a  positive  and  a  negative  correlation 
respectively  with  cost  per  ton,  i.e.,  cost  per  ton  increases 
with  greater  sophistication  in  coal  cleaning  and  decreases 
with  increasing  age  of  mine.  However,  in  both  cases  the 
confidence  level  in  the  slopes  of  the  trend  lines  is  low 


48 


—  40 

| 

1                 1                 1                 1 
400        600         800        1000 

i              i 
1200       1400 

c  32 

a 

S 

Depth  of  mine  (ft) 

ISGS   198? 

S 

o 

224 

5 
a 

§16 

o 

Y  =  19.15069+  1.715401  .  X 
Very  low  confidence  level  in  slope 


1  2 

Coal  cleaning  level 


1 

4 

ISGS   1982 


Figure  4. 


ISGS/ILLINOIS  MINERAL  NOTES    84 


because  the  lower  ends  of  confidence  intervals  for  the 
slope  just  about  include  the  zero  value.  Nevertheless, 
the  effects  of  more  sophisticated  coal-cleaning  methods, 
as  seen  in  figure  4,  are  confirmed  by  common  experience. 

The  apparent  contradiction  in  figure  5— the  older  the 
mine,  the  lower  the  cost— is  explained  by  further  regression 
analyses  indicating  that  older  mines  tend  to  work  thicker 
seams  and  also  tend  to  be  larger  in  terms  of  annual  pro- 
duction. Combined  with  the  effects  of  inflation,  they  lead 
to  lower  per  ton  mine  development  cost  as  well  as  lower 
overall  costs  per  ton.  Figure  6  indicates  that  initial  mine 
development  costs  significantly  affect  overall  costs  per  ton 
of  clean  coal.  The  mine  development  costs  per  tons  of 
annual  production  are  presented  in  1980  dollars,  which 
results  in  lower  development  costs  per  ton  for  older  mines 
and  helps  explain  the  lower  overall  costs  of  older  mines. 
On  the  average  it  is  estimated  that  each  additional  dollar 
(per  ton  production  capacity)  spent  on  mine  development 
may  increase  the  per  ton  cost  by  nearly  $.40,  with  actual 
values  ranging  between  $.26  and  $.53  per  ton.  However,  the 
correlation  between  mine  age  and  mine  size  was  found  to 
be  extremely  weak,  and  the  confidence  level  of  the  slope  of 
the  trendline  representing  the  relationship  between  mine 
age  and  seam  thickness  was  found  to  be  low,  as  indicated 
by  the  broken  trend  line  in  figure  7. 

Statistically  reliable  cost -lowering  effects  of  larger  mine 
sizes,  greater  labor  productivity,  and  thicker  coal  seams 


48-1 


■5  40 
o 


32 


24 


16 


8 


Y  =  28.11713-0.2442808  •  X 
Low  confidence  in  slope 


16 


24  32 

Age  of  mine  (yrs) 


40 


48  56 

ISGS    198? 


50 


40- 


30- 


o    20 


10- 


:*> 


Y  =  17.78  +  0.395.  X 
0.257  <  B  <  0.533 


— r~ 
20 


- 1 — 
30 


— i — 
50 


10  20  30  40 

Mine  development  cost  ($/ton  annual  capacity) 

ISGS   198? 


Figure  6. 


12n 


10 


c  8 


v>    4 


2 


Y  =  6.306020  +  0.03231 144 
Low  confidence  in  slope 


16 


24            32           40 

48           56 

Age  of  mine  (yrs) 

ISGS    198? 

Figure  7. 


Figure  5. 


COST  OF   UNDERGROUND  COAL  MINING   IN   ILLINOIS 


48 


■5   40 
o 


o  32 

o 


£    24 

a. 


o 
u 


16 


8- 


Y  =  33.88202 -0.7054618  •  10" !  •  X 
0.469*  10  5  «S  B  <  0.941  .  10" » 


0  500         1000       1500       2000       2500       3000      3500 

Annua!  production  (short  tons)  (in  thousands) 

Figure  8. 


are  indicated  in  figures  8, 9,  and  10,  respectively.  The  results 
of  figures  8,  9,  and  10  can  be  summarized  as  follows: 

1.  Every  100,000  ton  increase  in  the  annual  pro- 
duction of  a  mine  could  lead  to  a  decline  of  $.47  to 
$.94  in  the  cost  per  ton  of  clean  coal,  with  an 
estimated  average  decline  of  $.70. 

2.  Every  100  ton  increase  in  labor  productivity  (tons 
per  worker -year)  could  lead  to  cost  decreases 
of  $.055  to  $.095  per  ton  with  an  average  $.075 
per  ton  cost  decline. 

3.  An  increase  in  seam  thickness  by  1  foot  could  lead 
to  cost  decreases  of  between  $1.10  and  $4.70 
per  ton  with  an  estimated  average  decrease  of 
$2.90  per  ton  clean  coal  produced. 

Simple  regression  analyses  help  study  the  relation 
between  variables.  However,  they  should  not  be  used 
separately  for  cost  predictions  for  the  obvious  reason 
that  no  single  factor  can  satisfactorily  explain  the  variations 
in  overall  costs  per  ton. 


48 


32- 


24- 


Q. 

a  16 

o 

u 


\ 
\ 

- 

.  \ 

V 

\ 

< 

X   X 
X   \ 

\  •:  \  \ 

\ 

"H'X 

V 

\ 

\ 

\   \ 
\ 
\ 

\ 

Y 

=  45.88337  - 

0.7529152.  10 

1   .X 

\ 

0.55416  • 

1 

10" a 

<  B  <  0.951670  • 

10"' 

\ 

800       1600       2400      3200      4000        4800      5600 

Productivity  (tons/worker -year)  ,SGS  ,982 


48 


40 


32 


o  24 

c 
o 


~16 

o 

o 


8- 


Y  =  44.73599  -  2.93802  •  X 
1.1  <  B  <  4.768 


4  6  8  10  12  14 

Seam  thickness  (ft)  isgs  1982 


Figure  9. 


Figure  10. 


ISGS /ILLINOIS  MINERAL  NOTES  84 


Multiple  Regression  Analysis 


The  multiple  regression  analysis  was  performed  with  cost 
per  ton  of  clean  coal  as  the  dependent  variable  and  the 
following  as  independent  variables: 

Mine  development  cost 

Number  of  longwalls 

Depth  of  mines 

Annual  production  (mine  size) 

Mine  age 

Seam  thickness 

Labor  productivity 

Investment  in  equipment  per  ton 

annual  production 
Level  of  coal  cleaning 

At  a  90  percent  significance  level,  the  multiple  regression 
analysis  showed  the  following  five  factors  to  explain  about 
90  percent  of  the  variations  in  cost  per  ton: 

Mine  development  cost 

Labor  productivity 

Mine  size 

Mine  age 

Level  of  coal  cleaning 

Because  the  multiple  regression  selects  factors  with  sig- 
nificant marginal  contributions  in  explaining  the  variability 
of  the  target  function  (cost  per  ton)  over  and  above  that 
explained  by  other  factors,  factors  such  as  seam  thickness 
and  depth  do  not  appear  as  significant,  although  they  have 
strong  correlations  with  productivity  and  mine  size  as 
shown  in  previous  Illinois  State  Geological  Survey  investi- 
gations (6).  Those  correlations  are  confirmed  by  the  results 
of  this  investigation  as  indicated  in  the  final  printout  of  the 
multiple  regression  analysis  (Appendix  B).  Parts  I  and  II 
in  Appendix  B  compare  the  regressions  performed  with 
9  and  5  independent  variables  and  suggest  that  the  simple 
5 -factor  model  (with  R2  =  0.897)  is  as  good  as  the  larger 
9-factor  model  (with  R2  =  0.908). 


The  resulting  equation  for  cost  per  ton  of  clean  coal 
(Y)  is: 


Y  =  44.22 
(6.3166*10"3)X3 


-(1.9085*10-6)X,  -0.19906*X2  - 
+  (6.4903  *10_2)X4   +  0.75955*X5 


where:  X,  =  annual  production  (tons  per  year) 
X2  =  age  of  mine  (years) 

X3  =  labor  productivity  (tons  per  worker  per  year) 
X4  =  mine  development  cost  (dollars  per  ton 

annual  production) 
Xs  =  coal  cleaning  level  (0  through  4) 

In  figure  1 1 ,  about  three  fourths  of  the  cost  predictions 
based  on  the  above  five  variables  fall  within  a  ±10  percent 
range  of  those  calculated  with  the  full  cost  model  based 
on  cost  functions  developed  earlier.  In  four  notable  excep- 
tions, the  predicted  values  differ  by  15  to  30  percent  from 
the  calculated  values.  These  exceptions  cannot  be  explained 
with  the  limited  approach  of  the  present  investigation. 
However,  the  regression  equation  with  5  variables  tends  to 
underestimate  the  costs  of  large  and  highly  productive 
mines  with  lowest  cost  per  ton  of  clean  coal,  indicating 
that  investments  made  toward  improving  productivity 
escape  consideration  in  the  approach  used  by  this  model. 
Generally,  cost  predictions  based  on  the  regression  equation 
tend  to  be  slightly  above  the  costs  calculated  by  the  full 
model,  as  reflected  by  a  larger  number  of  points  above 
the  zero  line  than  below  it. 

Data  on  actual  cost  per  ton  of  clean  coal  for  each 
Illinois  underground  mine  are  not  available  and,  for  com- 
petitive reasons,  are  not  likely  to  be  available  in  the  future. 
The  model  approach  used  here  succeeds  in  comparing 
costs  by  mines  and  analyzing  the  variables  affecting  the 
costs.  Since  the  model  takes  a  snapshot  look  at  the  mining 
and  coal  cleaning  costs  as  of  1980,  some  mines  with  tem- 
porary production  problems  may  appear  as  high- cost 
mines.  In  the  long  run,  they  may  not  be  so.  On  the  other 
hand,  some  mines  may  have  had  an  exceptionally  problem- 
free  year,  although  their  long-term  costs  may  be  slightly 
above  the  costs  calculated  here.  It  is  estimated,  however, 


COST  OF    UNDERGROUND   COAL   MINING    IN    ILLINOIS 


S  +20% 

o   +10%  +■  -  —  -     —  i- 


0 
-10% 
-20% 
-30% 


10  15  20  25  30 

Cost  per  ton  of  clean  coal  ($) 


35 


40 


Figure  11.   Deviation  of  cost  predictions  based  on  regression  equation 
from  cost  calculations  based  on  full  model. 


that  the  number  of  mines  with  production  and/or  mar- 
keting problems  in  1980  was  larger  than  the  number  of 
mines  without  problems.  It  is  not  possible  to  determine 
what  percentage  of  production  was  affected  in  1980 
without  investigating  at  least  5  consecutive  years  con- 
cerning cost  per  ton.  Considering  the  employment  and 
productivity  data  of  the  mines  under  study,  it  is  estimated 
that  10  to  15  percent  of  production  could  have  been 
affected  in  1980  due  to  either  geological,  technical,  or 
market  factors.  The  net  effect  on  cost  per  ton  of  the 
positive  and  negative  influences  cannot  be  quantified. 
However,  they  might  result  in  a  generally  somewhat  lower 
actual  cost  per  ton  of  clean  coal  than  calculated  in  this 
investigation  for  all  Illinois  underground  mines. 

CONCLUDING  OBSERVATIONS 

Cost  estimates  for  existing  underground  coal  mines  could 
be  useful  in  negotiating  long-term  coal  delivery  contracts 
and  property  transactions.  Low -cost  mines  are  likely  to 
offer  more  stable  contract  conditions  than  high-cost  mines. 
With  simplicity  of  data  collection  and  calculation  as  the 
goal,  an  attempt  has  been  made  to  construct  a  model  for 
cost  calculation.  The  results  are  found  to  correlate  well 
with  the  average  value  of  coal  mined  by  underground 
methods  in  Illinois. 

The  simple  regressions  generally  confirm  the  expecta- 
tions based  upon  experience.  A  multiple  regression  analysis 
established  mine  development  cost,  labor  productivity, 
mine  size,  mine  age,  and  the  level  of  coal  cleaning  practiced 


as  the  most  significant  factors  in  explaining  variations  in 
cost  per  ton.  Obtaining  input  data  pertaining  to  these 
factors  is  not  difficult  and  the  cost -predicting  capability 
of  the  multivariate  equation,  with  about  75  percent  of 
cost  predictions  within  ±10  percent  of  the  calculated  full 
model  costs,  could  be  considered  as  an  acceptable  first 
approximation.  The  model  should  be  useful  for  com- 
parisons between  mines. 

Improvements  in  the  cost -estimating  capability  of  the 
model  are  tied  to  expansion  in  the  amount  and  accuracy 
of  input  data.  To  produce  any  improvement  in  cost  esti- 
mation would  probably  require  an  exponential  increase 
in  the  collection  of  data. 

The  model  could  be  expanded  in  more  than  one  way. 
Similar  models  have  been  developed  for  financial  analysis. 
With  minor  changes,  the  model  could  be  used  to  test  the 
sensitivity  of  costs  per  ton  to  changes  in  individual  cost 
factors  such  as  labor,  overhead,  and  energy.  Applying  the 
model  to  assess  resource  utilization  is  also  conceivable, 
with  appropriate  modifications. 


REFERENCES 

1.  Electric  Power  Research  Institute,  1981,  Underground  coal 
mining  cost  model,  v.  1;  Users'  guide  for  the  underground  coal 
mining  cost  model,  v.  2:  EPRI  EA-1273  Coal  Mining  Cost  Model. 

2.  U.S.  Department  of  the  Interior,  Basic  estimated  capital  invest- 
ment and  operating  costs  for  underground  bituminous  coal 
mines:  Bureau  of  Mines  Information  Circulars,  IC  8632  (1974), 
IC  8682  (1975),  IC  8682A  (1976). 

U.S.  Department  of  the  Interior,  Basic  estimated  capital  invest- 
ment and  operating  costs  for  underground  bituminous  coal 
mines  developed  for  longwall  mining:  Bureau  of  Mines  Infor- 
mation Circulars,  IC  8715  (1976),  IC  8720  (1976). 

3.  Thompson,  Burdock  C,  and  Mark  Wesley  Edwards,  1978, 
Estimated  impact  of  the  1978  UMWA  contracts  on  the  cost  of 
mining  coal:  U.S.  Department  of  Energy,  Energy  Information 
Administration,  Washington,  D.C.,  DOE/EIA-0102/2. 

4.  Illinois  Department  of  Mines  and  Minerals,  1980  Annual  coal, 
oil,  and  gas  report. 

5.  1981  Keystone  Coal  Industry  Manual:  McGraw  Hill,  New  York. 

6.  Malhotra,  R.,  1975,  Factors  responsible  for  variation  in  pro- 
ductivity of  Illinois  coal  mines:  Illinois  State  Geological  Survey 
Mineral  Notes  60. 


ISGS/ILLINOIS   MINERAL  NOTES  84 


APPENDIX  A.     Cost  Functions  for  Underground  Coal  Mines  in  Illinois 


Part  I:    Development  Costs 


D(J) 


Development  costs  for  mine  J 

Td^J)  +  D2(J)  +  D3(J)  +  D4(J)  +  DS(J) I     .  Y(J)  •   UL  +   25|($/yr) 

Shaft  construction  =  [a(J)  *  B(J)  *  5,500  J    +  650,000  ($) 

G(J) 


where    D^J) 

D2(J)    =    Slope  construction   =   F(J)  *  2,600  * 


in  17° 


+   500 


($) 


D3(JJ 

D4(J) 
DS(J) 


Cost  per  portal  for  drift  mines  =    150,000     ($) 

Main  entries  and  longwall  development,  if  any  =    Th(J)  *  2  •  3  •  2000j    +    [2  •  5  •  3000   •  200J  <$) 

Other  surface  facilities  excluding  preparation  plant  related  facilities 


T(J) 

0<T(J)  <  1,000,000 

1,000,001  <  T(J)  <  2,000,000 

2,000,001  <  T(J)  <  3,000,000 

DS(J) 

2,500,000  ($) 

3,000,000  ($) 

4,000,000  ($) 

A(J)  =  Number  of  shafts 

B(J)  =  Average  depth  of  each  shaft  (ft) 

F(J)  =  Number  of  slopes 

G(J)  =  Vertical  distance  covered  by  the  slope  (ft) 

H(J)  =  Number  of  longwall  faces 

Y(J)  =  Deflation  index  corresponding  to  the  year  V(J)  in  which  the  mine  started  (see  Part  X) 

T(J)  =  Annual  production  of  the  mine  (t/yr) 

Cost  of  shaft  sinking  5,500  ($/ft) 

Shaft  hoist,  lining,  etc.  650,000  ($) 

Slope  construction  cost  2,600   ($/ft) 

Underground  development  entries  cost  200   ($/ft) 

(net  after  adjusting  for  coal  value  produced) 

Depreciation  period  assumed  to  be  20  years. 

Average  interest  rate  assumed  to  be  10%  p.a.  on  50%  of  initial  investment  (1980  U.S.  dollars  assumed). 


COST  OF   UNDERGROUND  COAL  MINING    IN    ILLINOIS 


Part  II:    Mine  Operation  and  Maintenance  Cost 


L(J)    =     Labor  cost  of  mine  J  =   K(J)  •  81.0  •  N(J)  •  1.93     ($/yr) 
S,(J)    =     Salary  costs  =   0(J)  •  20,000*  1.5    ($/yr) 


C(  (J)    =     Machine  depreciation  and  interest 


11 


Y     Q(I,J)'S(I) 


L    I  =  1 


Y,(J) 


_]_        1 

To    20 


($/yr) 


C2(J)    =     Longwall  depreciation  and  interest  =   H (J)  •  7,000,000  • 


\8     20 } 


where  K(J)  =  Number  of  labor  on  payroll 

N(J)  =  Days  worked/year 

81  =  Dollars/day  wages 

1.93  =  Labor  overhead  including  payments  agreed  to  in  the  UMWA  contracts 

O(J)  =  Number  of  salaried  persons  on  payroll 

20,000  -  Dollars/year  average  annual  salary 

1.5  =  Salary  overhead 

Q(I,J)  =  Number  of  machines  of  type  I  in  mine  J 

S(l)  =  1980  price  ($)  of  machine  of  type  I  (See  Part  VIII) 

Y[  (J)  =  Deflation  index;  10  year  machine  life  expected;  interest  paid  on  50%  of  investment 
over  the  expected  life  period 

7,000,000  =  Investment  in  a  500-ft  longwall  face;  8-year  life  expectancy  assumed 

E(J)  =  Energy  cost  ($/yr) 


11 


+  (300  •  3  •  Z(J)/2)  +  [(F(J)  +1)  •  300]  + 


}        Q(I,J)  •  R 
I  =  1 

(A(J)  *  1,000)  +  (H(J)  *  780)   >  *  X(J)  •  5  ■  N(J)  •  0.08 


where  R(l)    =     Installed  kilowatt/machine  of  type  I 

Z(J)    =     Number  of  production  units  excluding  longwalls;  two  production  units  served  by  a  system 
of  3  conveyors  each  with  a  300  kw  drive 

Conveyors  in  slopes  assumed  to  need  an  additional  drive 
Shaft  hoist  and  ventilation  fan  installed  power  =  1000  kw 
Longwall  installed  power  =  780  kw 

X(J)  =  Number  of  shifts  worked/day 

Total  hours/shift  for  which  machines  actually  run  =  5 
Price  of  electricity  =  0.08  ($/kwhr) 


10 


ISGS/ILLINOIS  MINERAL   NOTES  84 


Part  III:   Underground  Haulage 


C3(J)    = 


ft       $/ft      $/terminal 

,      /  /  /    I  r 7  Z(J)\ 

(3,000  •  37)  +61,500      +         (  3,000  •  25  • )         +50,000 

[(500*  25«Z(J))     +50,000J      +       (l,000  •  30  •  H(J)) 


Investment  ($)  in  the  haulage  system  in  main  entries,  crosscuts,  sections,  and  longwall  sections  respectively 
(slope  conveyors  not  included) 


C4(J) 


G(J) 
sin  17° 


+  500       *  37 


+  75,000  =   Investment  ($)  in  belt  construction  in  slopes  and  belt  terminal 


C5(J)    =      f    C3(J)+C4<J)  J    *   I —  +  — )=  Annual  underground  haulage  cost;  5-year  depreciation  period  assumed  ($/year) 

(-**-  ) 

\5        20  J 


C6(J)    =     Auxiliary  equipment  investment  =  Z(J)  *  125,000 


($/yr) 


Part  IV:   Mining  Related  Cost  ($/yr) 

Sum  of  Parts  I,  II,  and  III  plus  materials,  supplies,  and  royalties 

M(J)    =        I  D(J)  + L(J)+Sj(J) +Ci(J)+C2(J)+Cs(J)  +  C6(J)  +  E(J)|       *    1.22 
(10%  materials  and  supplies  and  12%  royalties  based  on  cost) 


Part  V:    Coal  Preparation  Cost  ($/yr) 

T(J) 


P(J)    = 

P(J)    = 
PI  (J)    - 


PKJ)  • 


N(J)  *  14 


.[-1+1+  1 

,20     20     200 


6,000  *  N(J)  *  14  •  0.08 


Annual  coal  preparation  costs  ($/yr) 

Preparation  plant  investment  ($/t/hr)  (see  Part  VIII) 


3.5%  of  investment  for  maintenance  and  supplies 

20  year  depreciation 

10%  interest  on  V2  of  investment 

6000  kw  installed  power 

14  hrs/day  working  time 

0.08  $/kwhr  electricity  price 

Part  VI:    Total  Cost  Per  Ton  Clean  Coal 
M(J)   +  P(J) 


Cost  (J) 


T(J)  *  0.9 


Preparation  plant  recovery  factor  0.9 


&UN0IS  GEOLOGIC/ 
SURVEY 

MAY  10  1y83 


COST  OF   UNDERGROUND  COAL  MINING    IN   ILLINOIS 


11 


Part  VII:     Coal  Preparation  Investment  ($/t/hr) 


^~~~--~^Level  of  Coal  Cleaning 
Tonnage  Category  T(J)         ^^---^^ 

2 

3 

4 

0  <  T(J)    <    1,000,000 

8,200 

23,500 

48,600 

1,000,000  <  T(J)    <   2,000,000 

6,800 

22,000 

47,300 

2,000,000  <  T(J)   <   3,000,000 

5,800 

20,000 

45,400 

U(J)  =  2 
U(J)  =  3 
U(J)   =   4 


Heavy  media  separators 

Heavy  media  separators  and  centrifuges  and/or  cyclones 

Heavy  media  separators  and  centrifuges  and/or  cyclones  and  flotation 


Part  VIM:    Mining  Machine  Prices  (1980  dollars)  SO) 


Continuous  Miner 

450,000 

Cutter 

250.000 

Loader 

180,000 

Pump/Compressor 

10,000 

Rock  Duster 

50,000 

Locomotive 

75,000 

Mine  Car 

40,000 

Shuttle  Car 

250,000 

Airdox  Machine 

150,000 

Drill 

150,000 

Roofbolter 

120,000 

Data  adapted  from  Electric  Power  Research  Institute  (1)  and  USBM  (2). 


Part  IX:    Deflation  Index 


1980 

1.000 

1970 

0.559 

1960 

0.440 

1979 

0.940 

1969 

0.524 

1959 

0.434 

1978 

0.880 

1968 

0.490 

1958 

0.429 

1977 

0.823 

1967 

0.484 

1957 

0.423 

1976 

0.765 

1966 

0.477 

1956 

0.417 

1975 

0.731 

1965 

0.471 

1955 

0.411 

1974 

0.696 

1964 

0.465 

1954 

0.406 

1973 

0.662 

1963 

0.459 

1953 

0.400 

1972 

0.628 

1962 

0.453 

1952 

0.394 

1971 

0.593 

1961 

0.446 

1951 

0.388 

Data  adapted  from  U.S.  Department  of  Commerce  Quarterly  Business  Review. 


12 


ISGS/ILLINOIS   MINERAL   NOTES  84 


APPENDIX  B: 


Part  I:   Regression  analysis  of  cost  with  9  independent  variables 


Correlations 


Longwalls 


Cost 


Depth         Mine  size        Minage 


Level 

of 

Develop- 

Seam 

Produc- 

Invest- 

coal 

ment 

thickness 

tivity 

ment 

cleaning 

cost 

Longwalls 

Cost 

Depth 

Mine  size 

Minage 

Seam 

thickness 
Productivity 
Investment 
Level  of  coal 

cleaning 
Development 


1.000 

.170 

.499 

-.020 

-.167 

.517 

-.185 
.692 
.244 

-.087 


1.000 

-.133  1.000 

-.714  .449 

-.319  .191 

-  .481  .705 


.791 
.550 
.310 

.535 


.184 
.252 
.051 

.396 


1.000 
.258 
.549 

.457 
-.385 
-.128 

-.658 


1.000 
.258 

-.072 

-.189 

.013 

-.291 


1.000 

.234 
.144 
.056 

-.468 


1.000 

-.446  1.000 

-.180  .397 


-.164 


.343 


1.000 
.156 


1.000 


Coefficients 


Variable 

B  (Std.  V) 

B 

Std.  Error  (B) 

T 

Longwalls 

.0316 

4.0141E-01 

1.7618E+00 

.228 

Depth 

-.0246 

-7.9420E-04 

4.3689E-03 

-.182 

Mine  size 

-.1184 

-1.1703E-06 

1.3221E-06 

-.885 

Minage 

-.2239 

-1.7129E-01 

6.7187E-02 

-2.549 

Seam 

-.1522 

-9.3005E-01 

8.9985E-01 

-1.034 

thickness 

Productivity 

-.6304 

-5.9982E-03 

1.1168E-03 

-5.371 

Investment 

.0808 

1.0913E-01 

1.9090E-01 

.572 

Level  of  coal 

.1286 

7.1165E-01 

4.4947E-01 

1.583 

cleaning 

Development 

.1622 

5.2223E-02 

3.6310E-02 

1.438 

cost 

Constant 

0 

4.8030E+01 

4.7132E+00 

10.191 

Summary 


Multiple  R 

R -Square 

Unadjusted                  .9528 
Adjusted                      .9269 

.9079 
.8591 

Std.  Dev.  of  Residuals  =  2.8368E+00 
N  =  27 

COST  OF   UNDERGROUND  COAL  MINING   IN    ILLINOIS 


13 


Part  II:   Optimal  regression  model  for  cost  with  5  independent  variables 


Correlations 


Level 

of 

Mine 

Produc-               coal 

Development 

Cost 

size 

Minage 

tivity             cleaning 

cost 

Cost 

1.000 

Mine  size 

-.714 

1.000 

Minage 

-.319 

.258 

1.000 

Productivity 

-.791 

.457 

-.072 

1.000 

Level  of  coal 

.310 

-.128 

.013 

-.180              1.000 

cleaning 

Development 

.535 

-.658 

-.291 

-.164                .156 

1.000 

cost 

Coefficients 

Variable 

B  (Std.  V) 

B 

Std.  Error  (B) 

T 

Mine  size 

-.1932 

-1.9085E-06 

1.0599E-06 

-  1.801 

Minage 

- .2602 

-1.9906E-01 

5.7449E-02 

-  3.465 

Productivity 

- .6639 

-6.3166E-03 

7.9042E-04 

-  7.991 

Level  of  coal 

.1373 

7.5955E-01 

3.9859E-01 

1.906 

cleaning 

Development 

.2016 

6.4903E-02 

3.1171E-02 

2.082 

cost 

Constant 

0 

4.4220E+01 

2.6854E+00 

16.466 

Summary 


Multiple  R 

R -Square 

Unadjusted                   .9469 

.8967 

Adjusted                       .9339 

.8721 

Std.  Dev.  of  Residuals  =  2.7028E+00 

N  =  27 

14 


ISGS/ILLINOIS  MINERAL  NOTES  84