Капутин Ю.Е. Горные компьютерные технологии и геостатистика

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 ..

   



, , 424 . 2002 .

..................................................................................................................................................5

 1.    .........................................................................6

1    .......................................................................6

1.1   .......................................................................................................................6

1.2      !  

 ........................................................................................................................................8

1.3 "  ...........................................................................................................10

1.4 # ....................................................................................................12

1.5 $%   ...............................................................................................18

1.6     &'  

 ! ...........................................................................................................21

2  ,   (  )  

[1].......................................................................................................................................23

2.1  ..................................................................................................................23

2.2    .........................................................................................24

2.3 &'  '   ...................................................26

2.4  (!   , %    '

  ...............................................................................................................................32

3 * )  ' ....................................................................38

3.1 + ! &'     .......................................38

3.1.1 % &'................................................................................................38

3.1.2 "   %....................................................................39

3.1.3  ! / &' ......................................................................39

3.1.4  &! &' ..................................................................................43

3.1.5 ,   &'............................................................................45

3.1.6 +,   !   &'............46

3.1.7 +! !  ;  .............................54

3.1.8  «%»  ..............................................................................57

3.1.9 $'  .............................................................................................59

3.1.10      %% &   ........60

3.2 -!  ). .............................................................61

3.2.1 +    ....................................................................61

3.2.2 .! ( .....................................................................63

3.2.3 +  .......................................................................................71

3.2.4 + )   ........................................................77

3.3    ) ....................................................................78

3.3.1 % %    '.....................................................78

3.3.1     / .....................................81

3.3.2    ................................................................................85

3.3.3 *%'  ...........................................................................................86

3.4 0!  ) .............................................................................88

3.4.1 %% !  .......................................................................................88

3.4.2 + ! ...........................................................................................90

3.4.3 1  !  ...................................................................................91

3.4.4 #' )  %  ! %..........................100

3.4.5 '   !   % 

&' ................................................................................................................................112

3.5 ' %  .......................................................................................................115

3.5.1 +' $   ' ..................................................................115

3.5.2 # '     $  – % .......117

3.5.3 '  .....................................................................................119

2% ..........................................................................................................................................127

4. '      %........................................128

4.1  '     ............................128

4.2 '  ' .......................................................................130

4.2.1 + Four-D(X).................................................................................................131

4.2.2 + Maxipit .....................................................................................................132

4.3 3  .......................................................................................................141

4.4 +    .......................................................................142

4.4.1  '....................................................................................................142

4.4.2 * ...................................................................................................147

4.4.3      & .........................................149

4.4.4 '  %   .........................................................................150

4.5    % .....................................................150

4.5.1 '  )  '  ! 150

4.5.2 + Orefinder...................................................................................................151

4.5.3 +   ..................................................................154

4.5.4 + !  ..............................................................................159

5. +     .........................................................................162

5.1  '    .............................................162

5.1.1 ......................................................................................................................162

5.1.2 +    ...................163

5.1.3   .......................................................................................166

5.1.4 # ! ...................................................................................................169

5.2 +      NPV Scheduler................................170

5.2.1   .......................................................................................170

5.2.2 '   % ..............................................................174

5.2.3 '  )   %...................176

5.2.4 " ! .................................................................................................178

5.3 +  $ ...................................................................................................178

5.3.1   .......................................................................................179

5.3.2 !  !  ....................................................186

5.4 +  !   ............................................................189

5.4.1     ........................................................................189

5.4.2 !   ...........................................................191

5.4.3 + !  ! .............................193

2% ..........................................................................................................................................195

+) 1.    -      

. .......................................................................................................................................................195

1.1   ...................................................................................................................195

1.2 -  ) $ -% ($):.....................................................197

1.3 "  $ -% ($):...........................................................................201

1.4 "!    $ -% ...................................................................204

1.4.1  .............................................................................................................205

1.4.2 #%! &  ..................................................................................205

1.4.3  &    .........................................................................................206

1.4.4   %  ..............................................................................................206

1.4.5 # &   ................................................................................207

1.4.6   .......................................................................................................207

1.5 .  &'    $ -%   &

208

1.5.1     &'   ......................208

1.5.2    &   ................................................212

1.5.3 -&! ' $  .............................................................................213

2 ......................................................................................................................................218

3 *     ..........................................................................219

"    ...................................................................................................219

3.3 *     ........................................................222

3.4  :   ?..................................................................223

3.5 #  )   ......................................................................................225

4 +     ! &' ..............226

..........................................................................................................................................226

4.3   &'      ........................................................226

4.4    ..............................................................................................227

3.3.2 4 ) .............................................................230

3.3.3 4  (! !)..............................231

3.3.4 4 & ....................................................................231

4.5  %  ................................................................................................231

3.3.5 . ................................................................................................233

4.6   )..........................................................................233

3.3.6 +' (&&.......................................................................................234

4.7 . +  [4 ] .................................................................................235

3.3.7 *  .....................................................235

3.3.8 %!  &%'...................................................................................................236

3.3.9 - '  % (intrinsic) ..................................237

3.3.10  , '   ..........................................................238

3.3.11 5%'  ' ..................................................................238

4.8 *% !   %, . ..............................................239

3.3.12      ' ...........................................................240

3.3.13     %........................................................................241

5 +   ...............................................................................241

..........................................................................................................................................241

5.3  [4] ...................................................................................................................242

3.3.14  ........................................................................................242

3.3.15 "    .................................................................................242

3.3.16 +  ! ............................................................................................243

3.3.17 ................................................................................................................244

3.3.18 +% ....................................................................................................246

3.3.19 ) %% ...............................................................................................246

5.4   &'............................................................................................247

3.3.20 6 )    ............................................................249

3.3.21   ................................................................................................249

5.5 + (  ...................................................................250

3.3.22  ..........................................................................................................250

3.3.23 .'  !% ( ...................................251

3.3.24 # (  ......................................................253

5.6 +   ..............................................................................................256

3.3.25 ......................................................................................................................256

3.3.26    .......................................................................257

3.3.27 +   (  ..........................................259

3.3.28 +   !!% % (%') .......................................261

3.3.29 +  .................................................................261

3.3.30 ")   (  ') .....................263

3.3.31 +    .............................................................264

6 ........................................................................................................................................266

..........................................................................................................................................266

6.3    ........................................................................................266

6.4 6  [4] .......................................................................................................266

3.3.32 ! .......................................................................................................267

3.3.33 6 OK  %   ...........................270

3.3.34  !  .......................................................................................271

3.3.35 +  .........................................................................................................272

3.3.36 + !  ' .................................................................274

3.3.37    .....................................................................................274

6.5 +! '    ..............................................275

3.3.38 '   [4] .............................................................................275

3.3.39      %  .................275

3.3.40 3&& (...............................................................................................278

3.3.41 +  ..............................................................................................279

3.3.42   %   ...........................................................................280

6.6 + ' )   ...................................................281

3.3.43  ..........................................................................................................282

3.3.44 +  ...........................................................................283

6.7 '   [4] ...........................................................................................289

3.3.45  ..........................................................................................................289

3.3.46 $  ......................................................................................289

3.3.47 1 ' ..................................................................................................291

3.3.48   .................................................................................298

7 '  .....................................................................................................299

 ..............................................................................................................................299

7.3  !  ! &'    –

3&& . .........................................................................................................................301

7.4 $ !!  % /.......................................................................303

7.5 $  v %  V ..................................................................................304

7.6 # : %'................................................................................306

7.7 #&' (&& '  . ................................................308

7.8 + /   '  . ...................310

7.9 -! %  ....................................................................311

3.3.49 6 ........................................................................................................312

3.3.50 6  (6*).................................................................................313

3.3.51 3 ' ! %  %

&%. 314

1278"#8 ..................................................................................................................................315

2% ..........................................................................................................................................316

+) 1. -%   !  ........................317

+) 2.   &%'   ##, 

 - (Geovariances) ..........................................................................................319



     

 .  !"#$" %&'( & $) * &+ $

%&&+ ),&$, &-+,& $ $% -'&$,&$ &+) ,

$./ %&0&" 1'(. – )+ %1$&,, -  &, -$+'(&" +

-$*,, , ',$2) !%" %&% &1$$ $ &2./"2 %&(.&% + +&%.

&2 !$*&(    &+) --$2$" %0% & $," ,&(

)&'$$. 3 -! , *&0 -) % $&41$&&+ )&'$2,

-*,2./$ -' 0$( %$'(& ,*!&+" 44%  $-'(*,&$2

$&'(& +(2.

5 !'&$., ,2 $./22 '$  - $&41$&&+ )&'$2 ,

& ' &-$& & &  % 2*+%.   *) ---!& -%$0%$ &

,2 -1$'$, , " '$.

3 %&$ &-$& '2 , 0+ *%+( *,# .2 «#(» $ -0(

-1$'$, ,$,./$ '!&+ %-(.&+ $+, & *&./$

&'$"% 2*+%, + -"$ &0'(&+" -  &- - $. ,

-'2 *$( , &" ," ' 0 15-'&$" -+ $-'(*,&$2 ,&&+)

&+) $&41$&&+) )&'$" & &$) '(&+) !&$2) .

 %&$$, 2 ,&,   0&( %%2 !$*&(, -%'(% & &-$& «&

% .  % » $ 0& !% -$,2*& % %&%&" ,$$ $+ "&-

 $, %2 '(% 0 ,+- /& & +&%.  %2./$"2 )&$0%$"

- 0&( + ' $,+ , %&$ )&'$$ ,#$$.

5 !'&$., , *& $+ "& $ NPV Scheduler '(#  $)

$.  $&& &$ ,+&+ , %0, *,+) - -$ $*'!&$$

$'. 3 , &%" -&$ -,'$,, .%. $&& "& -,"

-2,$'( ,  (% '*, 5 %#%$" 5, $-&$%'( $ ..) $ &2 &

2,'22 " -&&&" $" , $$ $ , &$'(#" -&$ ,&

&#$$ -1$'$$.  & &, , ', 1 -$,22 &,&+ ,&$2 

'(#$&,  $) &+) -) $ .2  $) ",. 5 ,

&*,$$  $-'(* " %-(.&" $+, + %$ $&41$$

.2 , &, ," $&%,+$.  /, . &&+ $&4"+

$-/%- $&41$$ $* &" $+ ,   .. 

, &,& ,&$&$ '$' &$. -&2$" $ &,,

$-'(* +) , ',&+) &+,./$) &) $, & &,'$,2( &'

& $1$&&+) $"%$) -,'&$2) $ $1$2).  &# ,*'2, 

-,&, .%.  /, ./$ & , & &+ $ *%&'(&+ %+ 

0& '(#" %(. -$,22 % $,+,  $,( -&

%%$- -! 0&+ $$ $) *,$$2 – &'& '.

5&$ $ $* 2-0". ,2 0(, 2/2 $* 6 ',, !$

-& -$&$ -1, %-(.&" 1&%$ *-, $&'(& +(2,

-%$,&$2 $ -'&$,&$2 &+) . 2 0( -,2/& &,

'$&"&" $$%$, %2 ,& -,& $-'(* 2 , , $.

 %&$ & % & 4 '. &$ &)22 '(% ,  * &$) #&+"

0$'( & -", «0 -$)$?». ',&+" - '2 & -$&$

-%$0%$) #, - $-'(*,&$. %-(., , #&$$ '(&+) *0 &

-$*,,.

5&$, -! ,, ,& -1$'$ &+) --$2$",

'$0%$) $ -%&+) &$*1$" , %+ ,$,. &,+

$&41$&&+ )&'$$. , &2 %!, 0 %&$" *$& .2 $

--,'$  *,.

 1.    

1   



1.1  

(*&+ $*&&$2, -$)2/$ , %&$% $$ $ & , ,&2

& &, ,  '$0%$) $ &+,./$) --$2$". *&2.2

4+ ,&&$, $& %/.2 6+ -$*,, $ ' , -,+#.2

,&$2 % $) %0, , ,'$0$,.2 -$*,,&&+ $*!%$ , .0. -

*&2 -' -&', && %,'$4$1$,&&+) -1$'$, $ .-. $

,+) &+) --$2$" & ,&#&$" +&% %*+,2, 0 %0, $) - %1$$

(- $,+ &) ,( &$*%, $ -' 0+ * & )+ *&0$'(&

&(# ), %+ -' 0. &'$0&+ *-&+ %-&$$.

 $) ',$2) $&,&&+ ,+) -%$0%$ '2 %!" &$*1$$

&-'$0% -4$'2 2,'22 ,'$0&$ 44%$,&$ -$*,,, ..

,& &$!&$ $*!% -$*,, -$ &,&& -,+#&$$ %0,

,+- %" - %1$$.

&$ $* /&+) $& &, '2  2,'22 %-(.$*1$2,

-*,'2./2 *&0$'(& ,'$0$( -$,&( $ -'& $-'(*,&$2 ,"

$./"2 ('$0%", %&$0%", %'$0%" $ ..) & --$2$$

$&41$$,  %! -0$( %0,&& &,+" ,&( -$&2$2 -$'(&+) $

$%$) -,'&0%$), -%&+) $ -'&,+) #&$".

 %! --$2$$ $2 #$%$" %  *0, ,2*&&+)  %"

& %'$0, $&41$$, &%&+ -,&$ &*&+)

0,,  ./$) ,+, '(# 0$' 4$0%$) $',. $! -$,&

-$&+" -0&( %$) *0, %+ !& 44%$,& ,+-'&2( &

%-(.).

'(#$&, --$2$" 2'(& , %-' 1$&& . *,%

,$) !&$",  $& $ *,% , , -1 %+) !& -'&(.

,$*$,( ' ./$ 0+:

• % &&+) '. -,&$2 $ ,'&$ '$0%$)

% $ **,;

• *&$ )&+) (%%&+) $'$ '0&+)) '"  &+) ',

-4$$, -,)&" %&$0%$) & #&$" $ ..;

• $',&$ %,$1$&&" $$0%" -&,&&"

 % + &$*-&+) $,,;

• -0 $ -#&$ *-,  '.+$ *&&+$ %&$1$2$ $

&$0&$2$ ;

• ++" -0 & -' 0&&+) * '(, -$ -2,'&$$ &,"

$&41$$  !&$$;

• ,$*$,&&+" 6 &&+) %!  0$%, , -', -&

$) , * &&+) - !&$. $ 0 - &$ &)$+)

-,;

• 0 %'$0, $ %0,  + , '%) $ & 0%)

!&$2, &0&&+) % % , -1 -'&$,&$2;

• -$$*1$2  -%, --$2$2 - %'$0, $ %0,

(,%'.02 - *0&+ $ &$'(&+ %'+) '2 -0&$2

*&& %0,  +, - -./" & -% .

$ &+) *0, &$' -)2/$$ '2 ,$*1$$ 2,'2.2:

• -$$*1$2 %&0&+) %& , $ %'&& -'& *,$$2 %(

- ,+&& %$$.;

• '(& 3-) & -%$,&$ *,$$2 ++) $ -*&+)

&+)   -' ,$0%$ -&$ %(&+)  $

1&%" *-, !&$2, --./$) , %&  %$;

• &,$&& 3-) & -'&$,&$ *,$$2 &+)  &

'." -$ ,&$;

• -%$,&$  ,*+,&+)  & %() $ #));

• ,'&$ %'&&+) 4$%, +0$  + & -$  &+

 , % %$ *'!$;

• )&$0%$ , ,&$'21$&&+, $&!&&-$'(&+ $ .

- , ./$ 0+;

• $*,'&$ ,) ,$, 0!", -,!./$) %*&&+ ,+#

0+.

%$0%$ ,  '2& -,$+ %#"%$ +   +(

&2 ,+-'&&+ & %-(.&" )&$%, &0$&2  $-'(*,&$2 -$0%$)

-$,  ,$*$,&&+ 6 $&41$$ $ %&02 ,+0" ,+)

%#"%$) 0!" $ -'&#,.

 -$,&&+" -0&( !& %! ,%'.0$( %&$0%$, $&!&&-

)&$0%$, $'$0%$ $  $ *0$, '2 #&$2 %+) $2

,, ./ -& -0&$ $ 0&+" $," -+.

!& $(, 0 &$ %*&&+ ,+# + & ,+-'&2'$( ($ ,

2 ' 0, ,+-'&2.2  $) -) -1$'$*$,&&+$ -%&+$,

'$0%$$ $ & 0&-$','(%$$ &$*1$2$. -( ,  &

&)$$, $ --$2$, ,$, %-(.& . )&'$., ! ,+-'&2(

'(#$&, 0, 2'(&, -$,'%2 -&&$) -1$'$, -

%-, (+0& $* &'(#$) %& '(1$&&+) %-&$") '(% '2 #&$2

+) '!&+) -',  ./$) ,+% ,&2 *%-1$'(&+) *&&$".

,2  &+) %-(.&+) )&'$2), !& ,+'$( 4 ',&+) $)

-$ /,:

     

 ,     

 ;

      

   ,  

 ;

   

    ;

    .

$  & 2*'(& $( , ,$ , 0 -,&0'(&+" ,,

$&41$$, *&$ 0&+) '" !&$" $ $  /, ./$)

,+%  . $& '(#$) *   $ ,&$, -,$ 

+0&+$  0&+$ 0$. &%, $ *+ $1" % -.2 &

-' ./$) -) +.

&2 '2 #&$2 -1$4$0%$) &+) *0 & +&% -'2 '

1000 *&*&+) %-(.&+) -, -%, $ $. ,&&, 0 ,

$) ',$2) ,+( , 0 &$' -)$ --$2$., 0&(  &. 

-'*& -! , ,&$'(& *(2  ,$$ -&2$ ,  %! 

-'!&$2$ *'$0&+) -,1,.

5! --$2$ &$%'(& $ $ 1'+" 2 -1$4$0%$) *0, 0(

%+ & ! &$ & ! 2 &$,'(&2 $. %$ *,

&2(2, 0 %%2- - -'&(. #$ , -,'&&+ *0$ -

&'(&.

  ! ,2 -%$0%$ , --$2$2 ,+-'&2. 1'+" 2 &&+)

0,, %+ )# ,$*$,&+ , %0%$) -&+) - %)

$   +( 44%$,& $-'(*,&+ & '(#$&, %(, $ #).

1.2  ! "#" "$"%" ""

"%$$"%" "& ' %"() !

,&( &+) - * -'&$ $1( ' (*& -,+$'2. 3

-$,' % $*&&$.  )% 2'(&$ &+) %-&$",  %! %

*%&&  $) -$*,$'(&$. ,2 ,'& &,+) )&'$" +'

,2*&  *&$ -+) '" !&$" '2 1&%$ &&! $

!&$". ,$*1$2  0&+) -1$" -*,'$' %-&$2 +

1&$,(  + $&,$1$$. 3$ )&'$$ -2,$'$( , &0' 1960-) , $

-$,'$ % -' ./ %0% -$*,$'(&$ [1]. ' - " ,'&+

-2,$'( ,2.

 &0' 1970-) , &2 -+#'&&( -' 0$' 3-) & 1$4,

'0& '$,&$ $ $$0%$" &'$*  ,. '$ & 0$'$(

$-'(*,( $ -$ /, '2 -&*$,&$2 *-, !&$".

* '( ' ' 0#&$ %0, $ ,&$ 1&%$  ,. 3 ,'&

+' ,'(& -'!$'(&", &  ",$ *%&0$'( , %&1 1980-).

(2 ,'& )%$*,'( -2,'&$ 3-) & $0%

'$,&$2 $ ,$* '$*1$$. 3$ $& &+ '$ ' ,*!&(

$,( '$0%$  % + %% 3-) &+ -&,&&+ 6%+ $

-0$,( ' 0#$" %&'( & *&$ 1$4,+) '0&+) '". 5% $ ,

," ,'&,  )&'$2 ,$' &, $*&$ , '$.

%& $,&$2 $ &'$* '". 2 & , 0  ,'& &0' -(,

',&&+" 44%  -2,'&$2 ,$* '$*1$$ & ! +( -1&&.

 %&1 80-) -2,$'$( -'&(. %-(.$*,&&+ -1+: &

-%$,&$, -$$*1$2, %'&& -'&$,&$. 3$ -$ /, &,

,'$0$'$ -$*,$'(&(, & %% $ , -+ /" ,'&  ,'& -#' ,"

-$% $ &0' -( , $& 90-). & -0&$ '2 &

'$,&$2 $ -%$,&$2 &2 -,$'( , $+, %+

'$0.2 $&%$,&" 4$%", ,+% %0, ,$* '$*1$" -,)&" $

'" 6%,,  %!  !,&&+$ $&4"$ -'(*,'2. $

«-&'%$» -(   -0$( '!& 4$0% $ $&%$,&

,$*$,&& -%$,&$. + ,&&+ %-(.+ $ -&+

, -. $&!& $ ' ,+-'&2( & -%$,&$ + $

44%$,&.

&%, &2 %0%$ -$*,$'(&$ , &" -+#'&&$

 /,&& *'$'$(, .%. &+ --$2$2 -$&2. $&41$&&+

)&'$$ () '2 ' 0#&$2 '(&+) -1,,  & , 1' -$*,,. &$

2 & $'$" '2 ,$*1$$ +) , , , 0+ $*&$(

$). ' ./2 ,'& )&'$$, %2 "0 4$ 2, '!& -0$(

$&$0% ' 0#&$ -$*,$'(&$.

  &$%) +0& $-'(* .2 -%+ - '2 '$$, &

-'&$,&$2, %#"$$ $ *'$0&+) -$*,,&&+) & !. 3$ -+

+0& $'$ -% -.2 -1$'$*$,&&+) %-&$", $'$ *+,.2 &

 --$2$$.  '. ' 0 $ -+ ,$*$ . #&$

'(&+) *0 $ 1&$,.2 , ,,$$  , &%'(% &$ -)2 '2

& ! %&%& -$*,,.   ,2, , $ - %+   +(

%'$4$1$,&+ ' ./$ *:

    . 3$ $+ && ,%'.0. , 2

%$ *'+, %%: '$0% '$,&$, 1&% *-,, -%$,&$ $

-'&$,&$ &+) , %'&& -'&$,&$ $ %#"$2. 2 5

'$$ ./$) , $ %-&$" (Gemcom, Maptek, Mintec, Surpac and Datamine), %+

-'. & +&% %$ $+.

!  . . &22

-1$'$*$,&&+ -+ '2 '" )&'$$, %+ -% (-'&(.

$'$ 0$0&) & -0$,.2 &$,'(&+$ &+$ $$. +0&2

$% %$) -%,: -$$*1$2 %(,, %'&& -'&$,&$,

 ,*+,&+ +, ,&$'21$2, )&$%, %'$2 $ ..  /,  '(#

%'$0, %$) -%,, %+ *.2 -1$'$*$,&&+$ %-&$2$,

$$ &+$ --$2$2$ $'$ $','(%$$ 0!&$2$.

 " . 3 %$2 6$&2 -+ $

 ,&$, $-'(*  '2 -,'&$2 -$*,, , '(& ,&$.

+0&+ &-,'&$2 $-'(*,&$2: -,'&$ &+ &-,

%%,$,  ,+$ &%$, $ .-. 3$ $+ -'.2 &'(#$

%'$0, %-&$", $ %+) (, '$ %++) ) $2 4 '$:

Modular Mining Systems, Wenco, Tritronics $ Aquila.  '(# *&0&$ -$

,2*( $) %-&$"  -$*,$'2$ &  ,&$2, %$$ %% Komatsu $

Caterpillar.

 ! .  /,  '(# *&*$ %$)

$, %+ ,  -$*,,&&+" 0 , '(& ,&$ $ 4$ .

*&*&+ 0+. 7 %$ $%'.0&$ &+ %-&$$ $ *+,.

( $ $& -.) %$ $+.  &$) 0&( ' /, $ 0 &$

-,'2. " ( '%&&+) '$1 $ * &&+), *&&+)

&+$ -$$ '2 & ! --$2$2.

&2 & $, +&% %0%$) %-(.&+) - '2 &+)

--$2$" . 2%$ 4$, -'./$) ' 1000 -&+)

- %, *'$0& %', -&*&0&&+) '2 ,$*1$$ +) *'$0&+)

4 &%1$" -,'&$2 &+ -$*,,.

&,&+ %-&$$ -,'&+ , ' ./ -$% (- '4,$ ):

BRGM

CARLSON SOFTWARE, INC

CMC LIMITED

DATAMINE - MINERAL INDUSTRIES COMPUTING LTD

ECS MINING SOFTWARE

EXPLORATION COMPUTER SERVICES, INC

FORSMAN CONSULTING ENGINEERS

FRACTAL GRAPHICS FOR MINING

GALENA

GEMCOM SERVICES, INC

GEOMEM

GEOSOFT

GEOSOLUTION RESOURCES, INC.

GEOSTAT SYSTEMS INTERNATIONAL, INC

GEOVARIANCES

KRJA SYSTEMS/MAPTEK

LTC PTY

LYNX GEOSYSTEMS, INC.

MASTER MINE

MICROMINE PTY. LTD.

MINCOM PTY LTD

MINECAD Systems

MINEMAP PTY LTD.

MINEMAX

MINESOFT LTD.

MINTEC INC

RAMCO INDUSTRIES LIMITED;

ROCKWARE

RUNGE MINING, INC.

SNOWDEN ASS.

SURPAC SOFTWARE INTERNATIONAL;

SURQUIK SOFTWARE

UNIVERSITY OF IDAHO;

VENTSIM

WHITTLE PROGRAMMING PTY. LTD ("0 -$&'!$ %-&$$ GEMCOM)

'*,% $ &2 -+#'&&( $-'(*  $&41$&&+

)&'$$, 0+ 6$&2( $ 44%$,& $-'(*,( &&+, -' 0+ $*

'(# %'$0, $0&$%,. $-*& -$&&$2 %-(., , $) '2)

+ #$22, -%'(% "0 " $1$&&+ " '$ -$&&$2

%-(., -%+,. '$#( '&(% . 0( '(&+) -&" -$*,,.

/ ,2, -,1+ %-'%&+) $ -& -0&$2 '2

+,./$) '" -+#'&&$ &2 -'. $& &+ '(% '2

1&%$ *-,, '(&+) -1$" -%$,&$2 $ -'&$,&$2 &+) . 

 ! ,2 %$ '$, %% )&$% $'$ 0 $ ,&$'21$$, %-'&$2:

'%&!&$2 $ ,'$, '2 -*&  &$% -% % -0$,.2

44%$,&+$ %-(.&+$ -$.  $ 1$2 0&( + $*&22.

8$' -'+) &,+) &+) %-(.&+) $& &,  0&( +.

$! ',&+ *    $,(2 %0%$ -&+

- %+ *-& -$*,,, $&$,&&+ & #&$ -1$4$0%$)

&+), '$0%$) $ %#"%$) *0. 5 !'&$. &$ 0,&&+

-+  &-,'&$2 -%  & &*,( %0%$$, )2 $ *( !

( -$2&+ $%'.0&$2. '(# ,) ,  &-,'&$$ -,$& '$( 9$

«», &$ + «$», $- , &+" $&$  5:  $ &%+

 $ %''%$,+, - %1$. %+), 2 &.(, + ! % ,$( &

+&%.

 %-(.&+ -+ !& %! ',& *'$( & 3 '(#$)

%' - $$ $  -&$:

""( "%$$( (SHAREWARE), %+ !& -' 0$(

-'&, &-$ - 2 &&.

""%  ! "$" "$$&  "%$$(, -'+

&'(#$$ -1$'$*$,&&+$ %-&$2$, &-$ RockWare, Golden Software

$ .-., $, &%&1,

%"( $(, %+ -*,'2., & ,+)2 * -'+

&& -& - %, ,+-'&$( 1'+" -% -1$", &0$&2 

%$ -,$0&" '$0%" $&41$$ $ %&02 ,+0" ,+) 0!"

-%$,&& %( $'$ #)+.

1.3 ""% "%$$(

$' % -&+ -,/$% &$) %-(.&+) - , '$

& %  7' 2,'22 %-&$2 RockWare ( http://www.rockware.com/ ), %2

 '2& ,+- % $''.$,&&+" .''&(  -0& $ %%"

)%$$%" -'+) - %,, %'$0, %+) ' 500. &$

-+ -'.2 -'&,  $ $. 1&  2%,  &%'(%$)

+20 '',. + ! %0( & " %-&$$ -,$$ -'+)

- %, $ ! 0$ ,$$, %+     ( , 0&$

-'&& ,&$.