2004 대한지구물리학회․한국물리탐사학회 공동학술대회
기존자료 추가해석을 위한 지구물리탐사자료의 지구통계학적 해석
*, **
* 한국수자원공사 수자원연구원
** (주) Human & Earth
1.
RMR ,
. , RMR
, .
RMR
. (random function modeling)
,
(Goovaert, 1997). RMR
1 RMR
(Kriging) 2 (Ozturk,
2002; Ryu et al, 2003).
.
, .
1 MT DC
, 1
.
2.
Isaaks and Srivastava(1989) ,
.
1. Overall correlation between RMR values obtained at borehole sites versus resistivity from MT data.
2. Identification of RMR values at borehole position x=4610 (fig.3) using resistivity from MT data by simple regression and nonlinear transform method. The resistivity value depends on right axis.
, . 1
RMR , MT
. , RMR
, . RMR
, RMR .
RMR .
2.1
(Simple Kriging, SK) .
* (u)
1
(u) n SK(u)[ (u ) ]
ZSK m α Z α m
α
λ
=
− =∑ −
* (u)
ZSK u SK , m SK , λαSK
(u )
Z α . SK
m MT .
.
3. The schematics of joint interpretation of resistivity data and borehole RMR information. Nonlinear transform or simple regression is applied to get trend component of RMR at unsampled position, then the simple kriging estimation for the residual values are added to the trend obtained by geostatistical modeling.
* * (u) *
1
(u) (u) n SK(u)[ (u ) (u )]
SKlm SK SK
Z m α Z α m α
α
λ
=
− =∑ − (1)
* (u)
mSK .
2.2 m*SK(u)
K
RMR .
*
(u) |
SK k
m =m with y(u) ( ,∈ y yk k+1].
y(u) u MT ,
|
1 n (u ; ) (u ) mk i k z
n α α α
= ∑ ⋅
4. Difference between combined result using MT resistivity and borehole information (a), and RMR data only kriging result (b).
(u ) ( ,k k 1]
y α ∈ y y + z(u )α i(u ; )α k
.
1 if (u ) ( , 1] (u ; )
0 otherwise
k k
y y y
i α k ⎧ α ∈ +
= ⎨⎩
(1) ,
(u) 1
(u) (u u ) (u u) 1, , (u)
n SK
R R
C C n
β α β α
β
λ α
=
− = − =
∑ K
. CR(h) RMR .
2
.
RMR .
3 RMR MT
.
3.
4 RMR
(a) RMR (b)
, (b) .
Goovaerts, P., 1997, Geostatstics for natural resources evaluation, Oxford.
Isaaks, E. H., and Srivastava, R. M., 1989, An introductions to applied geostatistics, Oxford.
Ozturk, C. A., 2002, Geostatistical assessment of rock zones for tunneling, Tunneling and Underground Space Technology, 17(3), 275-285
Ryu, D.-W., Kim, T.-K., and Heo, J.-S., 2003, A study on geostatistical simulation technique for the uncertainty modeling of RMR, Tunnel & Underground, 13(2), 87-99.
