ÍÒØ Ö×Ù ÙÒ Ò ÞÙÖ Î Ö ×× ÖÙÒ Ö Ç Ø ÒØ fiÞ ÖÙÒ ÚÓÒ ÅÙÐØ Ö

Transcrição

!
!
#
9
! #
% !
"
(! !" %
# $ $ f = 1 kHz f = 100 kHz% ' &" "#,' $ "
' (! &!! (& "
#
!
% ' 1 8$"
(&"#, / &
) $ $ *" ' *#+"!, % &
$
$ (- ' "
, / %
%
$ (- & ' $ "
"
%
8! "
. # !"+
$"
$ " +
"
% ' f =
1 − 100 kHz ' $
/%
0/ +
1 , % $
r ≈ 2.5 mm :
*#+"!, $%
1 2 10 cm 15 cm ! $ 8 "
0 %' 3445% ' $ $ * 6
' %
/ % * $' . &
/% "
' / %
( 1 ) $
* $ +1 3447
% ( $ &
' / 8" & /%
#
! # IP (t) ∝ eiωt "
% # :/"
! $ !/ "
H P (t)% / "
#!
22. Kolloquium Elektromagnetische Tiefenforschung, Hotel Maxičky, Děčín, Czech Republic, October 1-5, 2007
213
10" 233;4,
a =
H S (t)
#
% & b =
! "
# $ a
b
1 2
μr + 2
a b
3
1 + At (μr − 1)
1/3
1 2
μr + 2
a b
3
1 + Az (μr − 1)
1+4
1/3
9
( μr At & IS (t) Az #
= H ges (t) = H P (t) + H S (t) & 1+>>:4 % # & )
(
*
% !
& & 6 8
8 Φ
8 - 18
233+4,
Signalgenerator
ES,φ = iωμ0 μr,2
Auswertende
Elektronik
Bodenkompensation
Sendespule
Objekt
<
'
124
Filter
@
1?4
(A D
1!
+>:+4,
Alarm
D =
Verstärkung
Empfangsspule
Da3
HP sin θ,
2r 2
Primärfeld
Sekundärfeld
+,
(2μr,1 /μr,2 + 1) α − (2μr,1 /μr,2 + 1 + α2 ) tanh α
.
(μr,1 /μr,2 − 1) α + (1 − μr,1 /μr,2 + α2 ) tanh α
154
μr,1
<
8
μr,2
α < 8
a !
k1 8
# ) B
7
,
α = a k1 = a iωσ1 μ0 μr,1 .
U = E l )
8 -% * ) &
1:4
%
&
& (
" . # / 0" 1233+4 123354 " (
% #
# ) C
# - - ,
6 ( 7
χ2 =
8 9
1233:4 (
2
1
W (d − F (m)) n
2
1D4
8 ( # (
8
a
b
W
! @
,
Wij = δij · 1/Δdi
mit δii = 1, δi=j = 0
214
1;4
d
n m
F (m)
R
,
S
>
, #
Cm 2
R = VTVT
.?
T
F (m) ≈ F (m0 ) + JΔm
m0
!
J
S = UTU
∗
.0
T
∗T
Cm = VΛ TT Λ V
T
.@
"
1 1 %=5 # #
∂Fi =
i = 1, . . . , n , j = 1, . . . , m
∂mj m
Jij
< $
& ' 7 A >
0
9 < .$$. 1 % ! & ' ()
" ,
- .$/0
*+
1 ' ,2
456
W(d − F (m0 ))
>
, #
! 9
G = WJ
e =
8
8 ' C & .$$.
,
..
=& B(, ' 1 " ,
- .$/0 2
+; 1 7& ) !
Δm = VΛ∗ TUT e ,
Λ∗ = (ΛT Λ)−1 ΛT
D E 1 , , G = UΛVT
.*
!
, 7&
% 1 #
λ2
Ti,i =
5 1& ! 1 ,
λ4i
λ4i + β
% % 1 , + ;
+;
.
4
.:
E 8& % & ' ½
! , ,
< .$$. , !1
T
%, B .3
9
# & 1
5 1 <, 1 −1
Δm = GT G + β 2 I
Ge
7
B & '
' 0.01%
Feder
1 1
1 % Schlagbolzen
5 Zündhut
% :* % & + ;
!< 5
1 ½
!17
( 1 5 %
%=5
6
' '
'
#
p
χ2
% *2
!" #$
$ % #& '
# # $
# 22. Kolloquium Elektromagnetische Tiefenforschung, Hotel Maxičky, Děčín, Czech Republic, October 1-5, 2007
215
−13
x 10
addierte Einzelsignale / Gesamtsignal
! "
!!# $ % y = (−0.2, −0.18, . . . , 0.2) m x =
(−0.067, .0, 0.067) m# $ f = (1, 2.4, 5, 10, 19.2, 30, 50, 75, 100) kHz#
%! & ! ! ' ()**+,#
- . ! ! / 0 12%# 3%!
0 4 ! (56 "6 $!6 #,6 ! 7 ! 8 !%9
! ! 4 :%! # ; ! %
! ! < !
4 ! 5#
. !% 5
! - 8 8 !# - ! ' ! ! ! ! 7! = !#
$ -> 5 ? !# @ $>
! - # $ $> ;
% # −12 % ( , 6 #
22 % !! ! ! ! 5 ! &< # &
A -< 5
> ! ! :%! 4
2
0
−2
Real. Hut+Schlb.
Imag. Hut+Schlb.
Real. Hut&Schlb.
Imag. Hut&Schlb.
−4
−6
−8
0
10
2
4
10
10
6
10
Frequenz f [Hz]
=
!
"#$ " $ %&' (
)*)
20
10
ΔΦ [%]
magnetischer Fluss Φ [Wb]
6
0
−10
Differenz der Realteile
Differenz der Imag.teile
−20
0
10
2
4
10
10
6
10
Frequenz f [Hz]
?
+ , ( !, !
* +
%
-
: ! A !
(! =, !# $ & ! ! !
%6 -< ; !
!%#
3 ! % ;
-< 5
! # $ ! ! '! A83 (##,#
. -< !! # ; !6 ; ! 1
216
1.4
Mine
Draht
Blech
1.2
1
RMS−Wert
!"
#
$% #
&'%
0.8
0.6
0.4
0.2
kHz
()*(+(,(&)(-,(+,(.+(,,
)*(+(,(&)(-,(+,(.+(,,
+(,(&)(-,(+,(.+(,,
,(&)(-,(+,(.+(,,
&)(-,(+,(.+(,,
-,(+,(.+(,,
+,(.+(,,
.+(,,
()*(+(,(&)(-,(+,(.+(,,
()*(+(,(&)(-,(+,(.+
()*(+(,(&)(-,(+,
()*(+(,(&)(-,
()*(+(,(&)
()*(+(,
()*(+
()*
/ 0 1 !
)- 1 ! 0 2
( ( 3
4
( /
T ( 2
x y 5
!"
6!( 7 a b( 0"
D ( 1"
I ( "
8
4"
σ 2
4
μr 0
2
4
6
8
10
12
14
16
Konfigurationsnummer
3 '/ !"
#
A
= ;5<
( 5 6! 1
"!B :"
( 6
( :"
9 <
"
1
B #? #+%% 1 3 . <
"
0
0 = " >
0.014
Daten−Importance gemittelt
0.012
Daten−Importance
)
*
+
'
.
$
&
,
)
*
+
'
0.01
0.008
0.006
0.004
0.002
0
6 9
1 :"
;5<
1 3 ' < ;5<
5 ;5<
:"
3= "
0 6>"
?"
6
5 @
A= ;5<
( "4
5 4 :"
0 ( 5 (
1
:"
3
1
2.4
5
10
19.2
30
50
75
100
Frequenz f [kHz]
3 ./ $%" !
!
#
A 1
( "
! "
9 "
(
4
(
217
% +" "¾
)
567
3% ' +
! $ %& " !
( %&
* 3 8 !
"
'(!
) %& +"
* )
+ , "
-'($ < 10−2 %. *
,
%"
* $ σ κ ) )9 ) ) :
*
(
+ / )% % # 0
)9 "
"
(
% '
* ,
%"
" ;
1"
/ + $ ) !
"
" %& "
*
" 5 )
%& +" f = (1, 19.2, 100) kHz (
+
f = 1 kHz f = 19.2 kHz " %& 21"
f = 100 kHz ) + 5 *% !
"
#
# !
"
%& (
& +" # % %
)
$
"
*
%& f = (2.4, 19.2) kHz f = (1, 19.2, 100) kHz 1 * % 21"
3 4 %
$
# '(!
0 # $
"5
# < )
21"
# +
+ 7
/
;
1"
$ '(!
( "
+ + )% 5
<& :"
'(!
= "
/ *% + - = >. <
- . %& ¾
218
f = (2.4, 19.2) kHz
(4.38 ± 0.07) M S/m
9.31 ± 0.14
(1.94 ± 0.04) mm
(3.64 ± 0.04) mm
(−0.09 ± 1.40) mm
(−0.06 ± 0.52) mm
(80.73 ± 0.66) mm
f = (1, 19.2, 100) kHz
(5.26 ± 0.04) M S/m
18.87 ± 0.29
(2.03 ± 0.03) mm
(3.30 ± 0.02) mm
(−0.08 ± 0.87) mm
(−0.19 ± 0.38) mm
(82.60 ± 0.59) mm
5.5/30 M S/m
30/1
0.0 mm
0.0 mm
(82 − 107) mm
! σ
! κ
! a
! b
! x
! y
! T
"
! σ # κ
$%&
f = (2.4, 19.2) kHz
0.440
0.275
0.693
0.920
1.000
1.000
0.901
−0.201
0.487
f = (1, 19.2, 100) kHz
0.362
0.529
0.847
0.900
1.000
1.000
0.914
−0.272
0.982
' "( ! #
) *# ) + # ,*# ) #
,- . ) * # % # /
0
-
; * * )
# 3- # 5 . # +0
# 5
4 # # ,
12- *#
,
# " # 12-. # *
,
# =- 4 #
# -* !*# 12- >- & ( #
*
f = (2.4, 19.2 kHz) # -!
#. # 3 # +0 - # # - # # <*#
3 # +0 4 *# 5 * *
? # $ ! # 1) # #(- # # 3
# %#
# -
%
4 5 *# # %
# # 6# ! 5 4 # # %#
# 1
## !
,. / 5. 88@ *# 4
% - #(- 74. 889:
5. % & 1
#- # + . /#
0 # *#. *
; # 3
-. # !
3*. 3 ;. 88A #- - *#. # # +0 # # #
# ; 5. % * - 3 # <46 - . /#
219
!" # !$$%
& ! '
(
) * + & )
+ ,
$ -. "
/ $ $ %
& 0 1"2 3 456, - %
/ / ! " ! ! 5,6756
3$ # 4 * %
/ + ! ! 8 & 6 #! $ %
& ' ' ( %)*
+ ) %
* , %
$7'
9%
: ;/: " 38 38
< 4554 ' !
$* < + ;/:
9
/ =$+ 455, %
/ $ +
& 4>>474>>,
1+ ! ? + ) -*
.*/0) ' )
1 $- %
< @ *;%0
+
A & 45,4 + $
/ + $+ B ! 76
A 4554 !
< %
@ %
;/: 0
+
220

ÍÒØ Ö×Ù ÙÒ Ò ÞÙÖ Î Ö ×× ÖÙÒ Ö Ç Ø ÒØ fiÞ ÖÙÒ ÚÓÒ ÅÙÐØ Ö

Transcrição

Documentos relacionados

PDF / 12,8 MB - Stadt Bad Segeberg