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7/23/2019 Co Conies i Are Gist Ros
1/74
1
S
, , ,
, , , .
D
: P E , R G , D , N , S R
.
L S
A
.
C
,
.
F F C
S .
E ,
; ,
,
, .
L ,
.
7/23/2019 Co Conies i Are Gist Ros
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2
L :
A .
A ,
.
L
. L ,
,
;
- . A
,
.
L
. L
. L .
L ,
,
. U
.
E ,
. P ( wtS
) ,
,
( weS ) .
C
( e ) ( , ) ,
( weS
) ,
7/23/2019 Co Conies i Are Gist Ros
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3
. E
.
E F
( weS ) ,
: D (
5 0 ) , C ( 5 0 ) , C
( 5 0 ) , A , S , F , D ( 8 0 ) . E
P , R G , D , L ,
N , S R (
) .
L ,
,
, 0 1 ,
:
t
p
V
V=
I . 1
pV
tV
E
. E e
7/23/2019 Co Conies i Are Gist Ros
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4
E
. E t
t =
S ,
, . E
pot
E ( , )
, .
L .
o
E . T
, , ,
o
S ( )
.
L :
1 .
A ( , , . )
S ,
,
I . 1
S ,
.
2 .
C
E
7/23/2019 Co Conies i Are Gist Ros
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5
3 . A .
4 . G ; .
5. Solucin de minerales por accin del agua.
L
. E A P I
,
. E k.
L
,
.
L 1
1 1 . L ,
, ( ) .
Cbico Ortorrmbico
Romboedral Hexagonal
Tetragonal
Empaquetamiento
de los granos
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6
L ,
, ,
( )
.
L ,
. L
( A , 1 9 9 6 )
L
, - / = - ( m
)
,
, ,
,
. E .
E . E
S
S
Matriz no conductivaAgua de
formacinconductiva
Corrienteelctrica
Corrienteelctrica
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7
A ,
.
E . C
( wS )
1 0 0 % .
A
.
F A
t
wn
wR
FRS = F A I . 7
t
ww
R
FRS =
I . 8
C 1 0 0 % ,
I . 9 , =
wFR
oR
.
t
ow
R
RS =
I . 9
L
, ,
,
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8
. C
S ( wirrS
E , oS . C
( ) :
p
hy
hyV
VS =
I . 1 0
hyS
hyV
pV
S
, 1 0 0 % .
L :
oS= 1 -
wS I . 1 1
E
,
( ) .
S
, .
mR
E
:
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9
. L
,
, .
mcR
,
,
( ) ,
.
mfR
xoR
E ,
.
,
.
tR
wR
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10
( )
Lodo
Rs
Capa adyacente
hmc
dh
Sw
Rw
Rt
Zona virgen
Zona detransicin
Zonainvadida
Rs
Capa adyacente
didj
dh
h
rj
Sxo
Rmc
Enjarre
Rxo
Rmf
Rmm
Resistividad de la zonaResistividad de la zona (solo fluido)
Saturacin de agua en la zona
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11
R
. R
, ,
.
M
R
R
R
P
L , .
L :
E
M
G
G
L
.
C
:
P
L
D
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12
I ,
.
E
.
E ;
.
L
. L
.
( ) ( ) ( ) ( )
L ,
.
L
- ;
.
L
,
.
.
. .
.
E . A
:
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13
N
N
E
U
C
D :
o P
o F
o D
o T
o N .
O
D ( )
E ( , ,
, )
C
E 3 4
, .
; ,
.
( )
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14
E
,
.
L ( ) 1 0 2 0
, ,
.
L 1 .
L
L
E
S .
E P E E S S P ( S S P )
P E
S S P = - K
w
mf
R
R E N I I . 1
mfR
wR
TK += 24.065 S T C I I . 2
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15
TK += 133.061 S T F I I . 3
P E P - ,
t
xo
R
R
I I . 4
xoR
tR
( ) ( ) 1001% =SSP
PSPVsh I I . 5
G A
( )
RMF > > Rw
Arenas arcillosasgruesas con agua
Arena gruesalimpia hmeda
SSP = - K % log (/ Rw)
SSP
SP
PSP
SP
PSP
Arena delgada
Arena gruesalimpia con Gas
Arenas arcillosasgruesas con Gas
RMF = Rw
RMF > Rw
RMF < Rw
RMF > > Rw
Linea base
de lutitas
- +
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16
. .
. . . .
. .
L ,
: , . R R
G
.
L G R 1 , S P . L
0 1 0 0 0 1 5 0 A P I ( A P I H
T , U S A ) , 1 / 2 0 0
,
, A P I .
L
: T ( T ) , U ( U ) P ( K ) . E
. P
2 0 3 0 R G ,
. C
.
L S G R ( S G R ) ,
A P I .
L C G R ( C G R ) G R U
A P I (
U ) .
E ,
R G ( I I . 3 ) ,
C C C L ( C C L )
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17
.
L E R G
- .
( , ) ( ) ,
.
E E R G N ,
R G ,
, T U
( ) P ( 1 %
1 0 0 0 0 ) .
E G R ,
,
E R G N C G R G R
U .
E C G R , P
U
. E T .
D ,
G R .
D .
E R G ,
.
I .
E :
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18
( )minmax
minlog%
GRGR
GRGRIsh
=
I I . 6
shI
logGR
maxGR %
minGR
%
( )1233.0 2 = shIshV - ( ) I I . 7
( )12083.0 7.3 = shIshV ( ) I I . 8
( ) ( ) ( ) ( )
E R G ,
I I . 9 , ( I I . 1 0 )
( )minmax
minlog
ThTh
ThThtVsh
= I I . 9
maxTh %
minTh
logTh
( )tVsh
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19
. .
. . . .
. .
R ( F . I I . 4 ) .
G
( ) .
A -
,
efP
( C L . , 1 9 9 7 ) .
0 40 80 120 160 200 0 16 32 0 4 8
U
Th
RAYOS GAMA(radiactividad natural)
API
Lutita
Arenisca
Caliza
F F FF F
M M MM
M M M
Caolinita
Montmorillonita
Iliita
Lutitanegra
Lnea base delutitas
Glauconita
carbn
Minerales dearcilla
Arenisca
Grupos de mineralespesados
Lutita
K
REGISTROS
DE GR ESPECTRAL
Arena fina
Con lutita
Conmateria
orgnica
U (ppm) K (%)
Th (ppm)
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20
E
,
, , .
P
.
E C ( C )
,
N .
N 1 . 9 5 2 . 9 5 / 2 3 .
L 3 0 ,
. A
,
.
.
. .
.
L :
( I I . 1 ) . E
,
C . L
,
.
.
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21
.
. .
.
N , N
,
.
L ,
. U
( ) .
L ( 0 . 5 0 /
1 . 8 0 / ) . E
.
. . . .
C
D
C I .
P
. - .
. . - .
. . - .
. . - .
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S ( )
, .
( ) mamafb V += I I . 1 1
maV+= 1 I I . 1 2
b (
f
ma
D :
fma
bma
=
I I . 1 3
( ) shshmamafb VV ++= roca con arcilla II. 14
sh
shV
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23
( )
( C L . , 1 9 9 7 )
2.
9
Baja
compactacin
2.65g/cm
2.71g/cm
2.54g/cm
2.87 g/cm
2.68 g/cm
(Efecto del gas)
2.32 g/cm
Densidad muyvariable
2-2.8 g/cm
1.2-1.5 g/cm
2.03 g/cm
2.95 g/cm
2.49g/cm
1.7 1.9
2.1
2.3 2.5 2.
7
Lutita
Arenisca
Caliza
Lutita
Lutita
Anhidrita
Sal
Arenisca
Dolomita
Lutita
Cuarcita
compacta
2.9
Esc:g/cm
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24
E
eP ,
, .
E
.
E
. L eP 2 6 7 /
eP
6 / .
L U ,
,
.
mamamf UvUU += log I I . 1 5
logU
mfU
(
mf
U
mav 10 mav
maU
(
8.138.4 mav
C ,
:
mav+= 1 I I . 1 6
E
e
,
.
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25
E P E F 5 0 - 6 0 ,
.
L ,
22410 cm
L 3
4 . L 0 - 2 0 0 - 1 5 .
A .
L
, . eP
, U
.
L , eP
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. ( . , )
L . S
. E
. L
8
3.0 - 5.0
Ndulos de Siderita
Con barita,extremadamente alta
1.80
1.70
4.9
3.5
5.08
=1.70
3.143.05
=1.68
+.18
4.65
Lutita
0 2 4 6 10 12
Variable, depende en composicinno en textura
6-8
Lutita
Cuarcita
Caliza
Arenisca
Dolomita
Lutita
Lutita +Siderita
Sal
Carbn
pobrementeCompacta
Compacta
Lutita
Arenisca
Esc:Barns/Electrn
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27
,
.
L ,
,
,
,
,
( ) .
L
:
N 1 0 0
N 1 0 0 1 0 0
N 0 . 0 2 5 1 0 0
N 0 . 0 2 5 .
L
( ) ,
- ( M =
610 ) .
G 2 3 4 5
1 5 ( ) .
L ,
. L
,
, :
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28
1 . :
. N ,
.
2 . , ,
.
L
. S ,
.
L
. L
, . D
:
L
.
L , ,
.
D .
L , .
C .
C N L . R N ( )
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.
( . , )
GR
API
60
600 100
Porosidad de areniscas enDENSIDAD0
Porosidad de arenisca delCNL 0
Arena limpia
Formacin
limpia
Arena
limpia
Arena
arcillosa
Lutita
CNLd
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. ( . ,
)
E ( t ) ,
,
,
.
E
. L P
,
.
L 1 0 - 4 0 H (
H ) 1 0 , 0 0 0 - 4 0 , 0 0 0 .
45 30 15 0 -15
45 30 15 0 -15
Porosidad de caliza de
DENSIDAD
Porosidad de caliza delCNL
GRAPI
Sal
Arenisc
a
Caliza
Dolomita
Anhidrita
Lutita
CNL
d
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31
L ( )fts / ,
( t ) 4 0 fts / 1 4 0 fts / ,
. L ( 1 / )
/ .
L
2 3 ,
3 . E ( T T I )
,
,
, 1 0
.
E
, 2 . 5 2 5 .
,
L
2 ( 6 1 . )
L ,
, .
A ,
. E
, , , .
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32
E
.
I
( ) , ,
.
U ,
,
,
,
.
.
E
, . E
.
E ,
.
P
. E
.
maL VVV
+=
11 I I . 1 8
R 1 / ( I I . 1 9 )
t ; t
, .
( ) maL
ttt += 1 I I . 1 9
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, .
LV
maV
t
Lt
mat
P ,
0 . 7 - 0 . 8 , .
S ,
.
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34
t
E . L
,
.
+ + + + + + +
+ + + + + + +
40
+ +
Valores considerablementevariables de
60 a 170 s/ft
57s/ft
52s/ft
140 120 100 80 60
Lutita
Areniscacompacta
Calizacompacta
DolomitaCompacta
Lutita
Arenenisca
Lutita
Carbn
Anhidrita
Sal
Anhidrita
Lutita
Lutita
44s/ft
80s/ft
66.7s/ft
50s/ft
100-140s/ft
Esc: s/ft
Gas
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L ,
. C
,
.
E
,
, .
.
L (
) ,
, .
E
. S ,
/ .
R ( / ) =
dadconductivi
x10001( / ) I I . 2 0
E 2 2
3 . L 0 . 2 0 - 2 0 / 0 . 2 - 2 0 0 0 /
2 3 .
L ,
,
. C
.
E
, .
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E
, ; , ,
, , .
C
wS
, 1 0 0 % .
1 - wS = hcS I I . 2 2
hcS
wo RFR =
o
t
R
RI= I I . 2 3
E A .
t
wn
wR
RFS
=
I I . 2 4
wS
ow RRF =
t
ow
R
RS =2 I I . 2 5
L :
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t
ow
R
RS =
t
w
R
RF I I . 2 6
E A
t
ww
R
RS
=
15.2
62.0
E I I . 2 7
10 1000 10 0000
profunda
somera
1 100
Lutita
Areniscaporosa
Lutita
Arenisca
Arenisca
Lutita
AreniscaComp.
Lutita
Lutita
Lutita
Arenisca
Agua salada
Agua dulce
Agua salada
Profunda
Somera
Esc: Ohm/ m
Gas
Aceite
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38
,
.
E
, ,
.
.
E ,
,
.
.
:
1 .
A
.
2 .
.
A
:
;
( )
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39
,
.
;
.
; ( C )
.
:
1 .
2 .
G ,
.
E III. 1 ( wR )
( oR
) . E ( )
( F * ) ,
wR,
wRF
1.
,
( . 1 ) , ( ) ,
.
. 1 . ( wR )
( oR ) 3 1 . 6 %
( , 1 8 ) .
10
1.0
0.10.01 0.1 1.0 3.3 10
Rw
Ro
Arena limpia F=10
Arena arcillosa
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40
N . E . 1
( wR ) .
:
1 .
; ,
, .
2 . E
.
. E ;
,
, .
( 2 . 6 5 / ) ,
.
E
,
.
(
wtS > 0 % ) ,
,
( weS
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41
, . 1 .
/
( )av /
%
0 . 8 - 1 . 5 0 . 2 4 2 . 4 5 , , 0 . 1 6 2 - 5 1 4 - 2 4
0 . 1 - 0 . 4 0 . 2 4 2 . 6 5 , , , 4 . 5 1 . 5 2
0 - 0 . 1 0 . 5 1 2 . 8 , - - - - - - - - - - - - - - - - - - - -
0 . 0 3 - 0 . 0 6 0 . 3 6 2 . 6 5 - - - - - - - 0 . 4 2 1 . 5 - 3 6 - 1
. 1 . ( , 1 8 )
)(av
( C E C )
,
.
( N
+) (
OH2 )
,
N
+
. N
+ ( . . 2 )
C E C ( 1 = -
20106 ) .
, (
)
.
( C E C )
.
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42
. 2 ( ,
1 8 )
.
.
,
. O ( F )
( C ) .
. 1 ,
.
:
Esquema dela molcula
de agua
Planoexterior deHelmholtz
AGUA
Agua dehidratacin
Xh
Cristal dearcilla
Agua absorbida
Ion desodio
H
HO
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43
( . ) ,
,
.
E
( )shV .
P 0 %
0 % 6 0 % ;
5 0 % . E 0 % 0 %
.
E ,
( . C ) .
. A
.
.
( . D ) . E
.
E 1 5 - 2 0 % ,
( )
. D
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44
, ( . ) ,
( . C ) . E
,
.
. 3 . ( , 1 8 )
.
.
. E
( . ) .
.
E (
)
.
.
E - ( )
.
Arena limpiaLutita laminar
(arcilla detrtica)
Arcilla estructural(arcilla detrtica)
Arcilla dispersa(arcilla autgena)
a. b.
c. d.
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45
. 4 . .
( , 1 8 ) .
P .
E
.
E ( clV ) ,
.
1 .
G ( G ) : .
2 . P E ( P ) :
P .
Pore-linningPoro revestido (clorita)
Partculas sin conexin(caolinita)
Pore-bridgingPoro en forma de puente (ilita)
Granos
de arena
a.
b.
c.
Granosde arena
Granosde arena
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46
. N - D ;
,
.
D
. C .
minmax
minlog
GRGR
GRGRI
GR
=
G . 1
[ ]0.1233.0
2=
GRI
clV V . 2
( )0.12083.0
7.3=
GRI
clV V .
GRI
logGR ( )
minGR ( )
maxGR ( )
SSP
PSPVcl = 0.1 V .
clV
( )
( )
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47
( )
( )dshnsh
dn
clV
=
V . 5
clV
n
d
nsh
dsh
E
.
, ( clV )
- ,
.
( C E C )
.
G
,
.
D ( clV )
.
, N - D :
=
maf
mashcl
shmaf
ma
ett
ttV
ttt
tt 100log . 6
e ( )
logt ( )
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48
mat
ft ( 1 1 5 )
sht
clV
=
fma
shmacl
fma
bmae V
D .
clV
e ( )
ma
b
f ( 1 . 0 1 . 1 )
sh
C N - D ( D , 1 9 8 )
( )nshclnnc V = . 8
( )dshclddc V = . 9
( )
2
dcnce
+= P . 1 0
( ) 21
22
2
= dcnce
P . 1 1
e ( )
n
d
clV
nc
dc
nsh
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49
dsh
.
( wtS ) ( weS )
,
( , ) .
E . 2
,
.
1 0
1 0
1 0
1 0
-
1 0
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50
-
A
,
( ) :
( )( )
m
xo
xomf
tS
RRa1
2
/
=
. 1 2
t ( )
mfR
xoR
xoS
a 0 . 1 , 2 . 0
a 0 . 6 2 , 2 . 1 5
xoS
- - - - - 0 - 0
0 - 0 0 -
2 0 - 0 0 - 0
1 0 - 2 0 0 - 0
P .
( )clte V= 1 . 1
e
t
clV
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51
D ( t ) ( e ) ,
( weS )
.
P
2tshb RR = . 1
bR
shR
t ( )
1 0 0 % ( 0.1=
wS ) ,
bR ( )
wR .
( )
( )[ ] }{ 21 tclbclwwb
oVRVR
RRR
+
= . 1 5
a 1 2 . 0
oR ( tR )
bR
wR
clV
t
21
=
t
owe
R
RS . 1 6
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52
weS
( )
oR
tR ( )
E
( tR ) ( t )
,
. ( weS
) :
21
=
t
w
m
t
weR
RaS
. 1
a 0 . 1 ,
m 2 . 0
a 0 . 6 2 ,
m 2 . 1 5
wR
tR ( )
weS
t
,
A 1 9 5 0
.
,
( tR )
( s ) :
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53
21
2
81.0
=
t
w
s
weR
RS
. 1 8
shmaf
ma
sttt
tt
=
100log . 1 9
=
maf
mash
cl
shmaf
ma
ett
ttV
ttt
tt 100log
. 2 0
s ( )
wR
tR ( )
e
weS
logt ( )
ft
mat
sh
t
clV
sht
100 ,
.
1 9 6 . E
( t ) . E D
.
.
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54
q = ( )
s
ds
. 2 1
s ( )
d
:
q
R
R
St
w
s
we
+
=
1
22
8.02
2 . 2 2
weS
s ( )
wR
tR ( )
( shR ) ( clV )
( ) .
P :
=
fma
shmacl
fma
bmae V
. 2
e
ma
b
f
sh
clV
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E ,
D
( s > d ) .
(
D ) , :
( )
t
etq
=
. 2
s
claVq
= . 2 5
( )cld
cl
aV
aVq
+=
. 2 6
clV
t
e
d
s
a 0 . 3 5
a 0 . 2 5
E 1 9 0
N - D . D
. 2 . 2 8
3 . 3 . 5
3 . 3 . 5 3 . 3 . 5
3 . 3 . 5
( 1 3 )
( 1 3 ) ( 1 3 )
( 1 3 )
+
=
sh
cl
sh
cl
tw
e
e
wwe
R
V
R
V
RR
RCS
22
2
5
. 2
weS
e
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shR
wR
tR ( )
clV
0 . 4 0
0 . 4 5
N D . 8 ,
. 9 , . 1 0 . 1 1
3 . 3 .
3 . 3 . 3 . 3 .
3 . 3 .
+=
22
12
clcl
t
w
d
we
VaVa
R
RS
. 2 8
weS
d
wR
tR ( )
clV
a 0 . 2 5
a 0 . 3 5
0 . 1
t
w
R
R
(
e)
.
F :
1 .
E
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57
2 . ,
. C
.
C ( C E C ) V ( clV ) ,
,
.
3 . 3 .
3 . 3 . 3 . 3 .
3 . 3 .
.
. .
.
P :
1 .
1 .1 .
1 .
(
( (
( clV )) ))
2 .2 .2 .2 .
( ) .
( ) . ( ) . ( ) .
C . 8 . 9
Granosde arena
Granos
de arena
Granos
de arena
Partculasde arcilla
Swt = Sw + Sd
Sw (Rw)
Sb (Rb)
Sh
e
t
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58
bS wS
3 .3 .3 .3 .
.
. . .
C D - N ,
. 1 0 . 1 1
4 .
4 .4 .
4 . . . .
.
( ) nshdshtsh += 1 . 2 9
0 . 5 1 . 0
dsh
nsh
5 .
5 .5 .
5 .
.
. .
.
tshclet V += . 0
t
tshclb
VS
=
. 1
bS
t
e
clV
tsh
. . . .
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59
2
tshshb RR = donde:
bR
shR
tsh
. . . .
.
. . .
2
ttwa RR = .
waR
tR
t
.
. .
.
.
. .
.
++=
wa
wwt
R
RbbS 2 .
wtS
wR
waR
2
1
= b
wb
R
RS
b . 5
.
. .
.
.
. .
.
( )
( )b
bwtwe
S
SSS
=
1 . 6
weS
wtS
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60
bS
4 . 1
4 . 14 . 1
4 . 1
P
C
-
--
-
V
- , (
) , 0 0 0 1 0 0 ,
: G , , , N , D
C .
GR (API)
CALI (in)
ILD (ohm-m)
DT (us/ft)Nphi (V/V)Rhob (gm/c) 140 401.95 2.95
0.45 -0.150.2 200
0.2 200ILM (ohm-
m)
0.0 120
4 14
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C 0 5 5 G -
, E
-
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minmax
minlog
GRGR
GRGRIGR
=
259.0125.47
21.12
14.55265.102
14.5535.67==
=GRI
( )0.12083.0
7.3= GR
I
clV ( )[ ]0.12083.0 259.07.3 = clV
( )
( )dshnsh
dnclV
=
=
=
099.0318.0
2503.0246.0clV
E
mfR =
C ) ,
a= 1
= 1 9
mat = 5 5 5 /
ftstfl /200=
shmaf
ma
sttt
tt
=
100log
==
=
885.105
100
5.144
023.47
885.105
100
5.55200
5.55523.102xs
( )clte V= 1 ( ) == 078311.013073.0e
2
tshb RR = 13466.0)3073.0(426.12 == xRb
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a = 1 = 1 9
= 5 C
S = 0 0 0
wR = 0 0 9
) V S
= - ) / * +
( )
( )[ ] }{ 21 tclbclwwb
o VRVR
RRR
+
=
( )
( )[ ]{ =
+
=
2)3073.0(078311.0113466.0078311.009.0
09.013466.0oR 0 9 5 2 6
21
=
t
owe
R
RS
21
322.5
6209.3
=weS =
a= 1 = 1 9 E
wR = 0 0 9
21
=
t
w
m
t
weR
RaS
21
9.1 322.5
09.0
)3074.0(
1
=weS =
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64
ftstf
/200=
mat 5 5 5
21
2
81.0
=
t
w
s
weR
RS
21
2 322.5
09.0
)3073.0(
81.0
=weS =
ma = 2 6 9 /
b
= 2 2 6 /
f = 1 /
fma
bma
=
, 1
169.2
267.269.2
= =
D 2 0 /
fma
bma
sh
=
1407.2
267.2407.2
=
sh
= 0 0 9 9
q ( )
s
ds
q
( )
3073.0
2503.3073.0
( )
t
etq
=
( )
3073.0
2635.03073.0 =q
= 0 1 2 5
s
claVq
=
3073.0
0783.01=q
= 0 2 5
S
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65
q
R
R
St
w
s
we
+=
1
22
8.02
2
=
+
=18548.01
2
18548.0
2
18548.0
322.5
09.0
)3073.0(
8.02
2
weS 0 . 3 6 4 5 8 0 . 3 6 4 5 8 0 . 3 6 4 5 8 0 . 3 6 4 5 8
5 .
5 .5 .
5 . ( 1 9 6 3 ) ( 1 9 6 3 ) ( 1 9 6 3 )
( 1 9 6 3 )
( )dshclddc V = ( )099.0078311.02503.0 =dc = 0 2 2 5
( )nshclnnc
V = ( )318.0078311.0246.0 =nc
= 0 2 2 1 1
( ) 21
22
2
+= ncdce
( )=
+=
21
22
2
)2211.0()2425.0(e 0 . 2 3 2 0 7 0 . 2 3 2 0 7 0 . 2 3 2 0 7 0 . 2 3 2 0 7
+
=
sh
cl
sh
cl
tw
e
e
wwe
R
V
R
V
RR
RCS
22
2
5
+
=
426.1
078311.0
322.5
078311.0
322.509.0
)23207.0(5
)23207.0(
09.04.022
2weS = 0 . 4 6 4 5 8
0 . 4 6 4 5 8 0 . 4 6 4 5 8
0 . 4 6 4 5 8
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66
6 .
6 .6 .
6 . ( 1 9 7 5 ) . ( 1 9 7 5 ) . ( 1 9 7 5 ) . ( 1 9 7 5 ) .
+=
22
12
clcl
t
w
d
we
VaVa
R
RS
+=
2
078311.01
2
078311.01
322.5
09.0
2503.0
12
weS 0 . 7 8 9 5 6 4 0 . 7 8 9 5 6 4 0 . 7 8 9 5 6 4 0 . 7 8 9 5 6 4
7 .
7 .7 .
7 .
.
. .
.
(
( (
( clV ) 0 . 0 7 8 3 1 1 ) 0 . 0 7 8 3 1 1 ) 0 . 0 7 8 3 1 1 ) 0 . 0 7 8 3 1 1
( ) . ( ) . ( ) .
( ) .
( )dshclddc V = ( )099.0078311.02503.0 =dc = 0 2 2 5
( )nshclnnc V = ( )318.0078311.0246.0 =nc
.
. .
.
( ) 21
22
2
+= dcnce
E
( )=
+=
21
22
2
)2211.0()2425.0(e 0 . 2 3 2 0 7 0 . 2 3 2 0 7 0 . 2 3 2 0 7 0 . 2 3 2 0 7
. . .
.
( ) nshdshtsh += 1 ( ) 318.06.01099.06.0 +=tsh = 0 1 6 6
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67
.
. .
.
tshclet V += 1866.0078311.023207.0 +=t = 0 2 6 6
t
tshclb
VS
=
24668.0
1866.0078311.0 =bS = 0 0 5 9 2
.
. . .
2
tshshb RR = 2)1866.0(426.1 =bR = 0 0 9 6 5
.
. .
.
2
ttwa RR = 2)24668.0(322.5 =waR = 0 2
.
. .
.
2
1
= b
wb