библиотека нефтяника / Аппаратно-програмные средства / Глава 2
.pdf
-
! " #
# $ #
$
% &
'
&
( & "
$&
# % " )
– * & " %
# " ! %
#
& $
+ $ %
$ $* &
# #
%
% &
,-
#
&
$&
" $ -#
$. # & %-
% - #
** &
*
44
* # #
%
/$"
# #-
– & "
$%$
* & % &
0 $
*
" # %$%
& # # &
"
&
$*
1 #
# "
$%
!$% "
234 1
# 0,( 5'
" .
#6 7
#6 7
* & 7
& & * & #6 7
& % & #
)$# 0,( 5' (3'2
234 3 , ' %
# # % #
*
* &
#
%
3 & #
(3'2 #
45
– 5
& # #
" * & " 8$9
: ;
(3'2 '
#
& " (3'2 .
& 7
# % #6 # # 7
"
& # 7
"
#6 7
$ $
$& #$7
* &
" 7
$ $ # %
& $
' & & (3'2
%
" $
/-#6
#6
#6 # "
#$%$
& '
"
$ $/ #
-%
) #
# $ # "
% & #
#
% & " $
& (3'2
# : ;
46
-
1 – * & # # 72 – # & 73 – $
1 & & #6
* " "
$
: < =; " # " #6
$" " % * & " : & "
# * & ; $
3 (3'2
" : ;
: % ; .
X1N ,X 2N ,X 3N –
% * (3'2N – % * 7
X 4,X 5 –
7
X 6M ,X 7M ,X 8M ,X 9M ,X10M –
# # * & #
# # M – # # :
; (3'27
X11M ,X12M ,X13M –
7
47
X14,X15,X16,X17 –
(3'2;
X18,X19,X 20,X 21,X 22 –
& & # #
1 "
(U $ X"
& $ -
# &
,$#
**
& " & * &
' & " *
$
:
; > & #
5 #
bU |
U |
|
aU |
, (i |
|
|
i |
1,r) |
|||||
i |
|
i |
|
|
|
|
biU U i aiU –
- Z $ X "
& "
" '
#
# & * &
$& ?@AB
' "
8% " " 8
*
?@@B
' & (3'2
#
1Y" * &
X# * & "
& (3'2
48
" * & /$# " " .
YjI Y YjII, (j |
1,n |
) |
(2.1) |
YjI Y YjII – .
- $&Y
& "
% $
1 &Y $
&
"
' Y
" "
&
1
X U
Z $ Y $ # * &
$" $ !
" & #
# # $?=@B
= ( $
(3'2.
Fi [{U },{Z},{Y},t] 0, |
(2.2) |
t – &
< (-**
ek ei[{U },{Z},{Y},t] |
(2.3) |
A (
49
i i[{U }] |
(2.4) |
|
|
ui ui[{Z},{Y},t] |
(2.5) |
" # "
:< A; :< <;
:< =; Cui# #
0,( 5' * & DZ}, {YE # " i.
' # # * (3'2
4 #6 234
# *$"
& /
$ # #
"
& : &
& & # # ; ?@FB
1 &
" #6 234
"-:
; ?=@ AF–38, 45]. G #
#
"
* G
" & #6 234 "
$
"
& "$
$ C #
-
& #
" 1
# *-
** &
#
# # #
/
50
# % # ** &
# )
# ** & $
G
# & "
% ?=@B
|
|
1 |
n |
yi |
yi |
(x ) min. |
(2.6) |
|
|||||||
|
n |
i 1 |
|
|
|
|
|
Hyi(x ) – %$
#6
f(y,z,u,x) 0 |
|
|
|
(2.7) |
||||
|
|
|
|
|
|
|
|
|
ui ui zi zi |
|
|
|
(2.8) |
||||
|
|
|
|
|
|
|
|
|
|
|
1 |
t1 |
|
|
|
|
|
|
|
|
2 |
|
|
|
||
|
|
|
|
y (t) y(x t) |
|
dt |
|
min, |
t |
|
|||||||
|
|
|
||||||
|
|
1 |
0 |
|
|
|
|
|
(2.9) |
|
|
|
|
|
|
|
|
y = (x , t) – %$
#6
|
dy |
f(y,z,u,x) |
(2.10) |
|
|
||
|
dt |
|
|
u u . |
|
||
|
1 * :< ;– :< = ; " |
# . |
|
y, z, u – "-
" 7x – 7f – * & 7y , z , u
– " "
-#6 7i –
i = 1, 2, …; n – 7t, t1 –
51
4
" #
:* &f; #
* & :x).
1 "
" # #& & %
# ?=@ @FB " &
(3'2 ! " #
#
! "' i- Gi:i-
$ i-
;$" *
&
G |
|
iy |
( y |
i |
y |
)F |
ix |
(x |
x |
)F , |
(2.11) |
i |
|
|
ip |
|
ip |
i |
|
|
iy, ix – ** & "
" * $"
& $* &
$ & 7yi xi – $
i $* 7 xipã yipã –
& & & * 7F – $*
) i- Gi
" .
dGi |
aK |
|
(x |
x )V aK |
|
( y |
y |
|
)V a |
|
(x |
x )V |
|
0 x |
0 y |
ip |
0 x |
||||||||
dt |
ip |
i |
|
i |
|
ip |
i |
|||||
|
|
|
|
|
|
|
|
|
|
|
||
|
|
|
|
|
|
|
|
|
|
|
|
(2.12) |
a 0 y ( yi yip )V , |
|
|
|
|
|
|
|
|
||||
a – * & #6 7K0x, K0y – ** &
"
* " =2
=$ & 7yip xip – $
i $*
7V – #6 7a 0x a 0y – #6 ** &
" i-
* & #6 7t –
# #&
1dGi/dt
# #
52
i-C
K#$ $ &
# *
3$# % % (3'2
# # * & "
#$*
# # ' *
$" # # 3i
# #6 # #dH
" .
dGi |
K |
0 y |
aF ( y |
i |
y |
ip |
) K |
aF |
(x |
ip |
x |
) , |
(2.13) |
|
|||||||||||||
dH |
0 |
|
|
0 x 0 |
|
i |
|
|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
||
F0 – # #
dGi/dH
i-
#$%$ $%3 #
" # #
$
G L Gk Lk , |
(2.14) |
G, L – # # 7
8 9 8 9 # " #
#
( # # #& & %
n |
n |
|
G ( yi yi ) L (xi xi ) ; |
(2.15) |
|
i 1 |
i 1 |
|
n |
n |
|
G ( yi |
yi ) L (xi xi ) , |
(2.16) |
i 1 |
i 1 |
|
yi xi – $ $*
# # 7 y x y , x –
$ i- $*
) yi xi "
.
53