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Instructions for use Title CMG40T地震計の傾斜応答に関する簡易試験 Author(s) 青山, 裕 Citation 火山, 53(1), 35-46 Issue Date 2008-02-28 Doc URL http://hdl.handle.net/2115/59831 Type article File Information Kazan_53_p35-.pdf Hokkaido University Collection of Scholarly and Academic Papers : HUSCAP

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Title CMG40T地震計の傾斜応答に関する簡易試験

Author(s) 青山, 裕

Citation 火山, 53(1), 35-46

Issue Date 2008-02-28

Doc URL http://hdl.handle.net/2115/59831

Type article

File Information Kazan_53_p35-.pdf

Hokkaido University Collection of Scholarly and Academic Papers : HUSCAP

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OYAMA

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School of Science, Hokkaido University, N W , Kita-

Boroschek and Legrand, ;

Deformation under the ground excites not only translational motion but also tilt changes, although

seismologists usually analyze recorded waveforms under an assumption that seismogram only expresses trans-

lational motion. Since broadband seismometers have high enough sensitivity to tilt changes, the seismograms are

sometimes contaminated by tilting motion at a seismic station. To check the e ect of tilt change on seismogram

recorded by a broadband velocity seismometer, we performed a simple experiment with a CMG T seismometer

and a tilt sensor of surface mount type. Tilt changes yield one-sided oscillation of the pendulums in a horizontal

transducer. Such particular oscillation is clearly identified in the displacement trace calculated from the original

velocity seismogram. Theoretical consideration predicts that slow temporal changes in tilt angle correlate with a

time function of the apparent displacement of seismogram. Since results of our experiment well agree with the

prediction, we estimate the conversion coe cient from the apparent displacement to tilt angle and confirm that the

coe cient obtained experimentally well corresponds with the value from theoretical prediction. As a possible

example in an active volcano, we consider slow isotropic volume change near a seismic station and calculate

synthetic seismogram due to the volume change.

: broadband seismometer, tilt response

Rodgers ( )

Rodgers ( )

Bouchon and Aki

( ) Graizer,

Boroschek and

Legrand ( )

ku, Sapporo, Hokkaido , Japan.

Corresponding author : Hiroshi Aoyama

Institute of Seismology and Volcanology, Graduate e-mail : [email protected]

Hiroshi A

Simplified test on tilt response of CMG T seismometers

CMG T

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( ) ( )

( )

( )

Fig. . Amplitude component of tilt response func-

( ) tion of CMG T.

( )

A . . m s

( )

( ) m rad . mm rad

rad

( ) ( ) ( ) CMG T . mm

CMG T

( )

. mm rad (

CMG T . rad mm)

( ) ( )

( )

( )

( ) Rodgers ( ) Boroschek and Legrand ( )

Rodgers,

( )

( ) rad

Fig.

Table

( )

( )

CMG T

Fig.

CMG T Applied Geomechanics( )

cm

T

T

a

T a

T

T

T a v

T

T v

j k

T

u t H t

h H t

h t

X ( )

Xi i h

X

X Xi

C

E

E E Ei

C

C C

z , p

A i z i z i zC

i p i p i p

Az

p p p

CMG T

,* * *

,* * *

, ,* * *

,

,

,

+ , -* ,

+ , - *

-

+ , -

.*

, +.

+

,

+/,

-. .*

* -+. 3 2

+0

* ,,- * ,,-

+

0 1 .* * ,,-

.*

+1

* ,,-

.* . .2

+1

2

+2

+2 +302 ,**0

0

+302 1,

+2 +

-

,

,

+2 *

+2

.*

.

.* 1*+ ,+3

-* +/

/ .*

w

w

x w x w x

x w x w x d

w

ww w w w w

w

w ww

m

m

w

w w ww w

m

m

w

w ww

p

w

w w ww

w w w w

Y

Y

Y

Y

Y

Y Y

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Y

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velocity outputs of CMG T. Bottom two traces

H

H

40

Fig. . Schematic representation of the simple experiment in this study.

Fig. . Waveform examples of the tilting test.Fig. . Velocity amplitude spectra of two horizontalFirst and second traces are output from the

components of CMG T.biaxial tiltmeter. Three traces in the middle are

are displacements of horizontal components cal-H

culated from the velocity traces.H

cm cm

Fig. CMG T

LS XT

Fig.

. Hz

Hz

Fig. Fig.

( )

H . rad H

. rad ( )

( ) ( )

Fig.

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CMG T 41

Table . Results of the experiments.

H ( ) .

mm, H ( ) . mm

( ) ( ) .

.

. rad mm H

. rad mm

Fig. .

a case of longer rise time.

Table

CMG T

( ). rad mm

. rad mm

( )Fig.

( )

( )

(Table )

Appendix ( ) CMG

T ( )

H

H

H H

H H

H H H H

T

T

T

T T

Y

Y

Y Y

d

d d

d

Wi i h

W ati

C at

C i W at

w t

y t

+

,

+ ,

+ ,

+ + + +

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*

+

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1

-

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. .2

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,+1 *1*1+-+,,.

1*,,

,-

-

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m

m

wmw w w w w

m

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w w w

w w w w w

Y Y

Y

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. rad mm ( )

( )

m

. rad, . mm

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. rad mm CMG T

. mm

Wielandt and Forbriger,

CMG T

. Hz

(Fig. )

Fig. a C D

CMG T ( )

. Hz Fig. a E

(Fig. ) Fig. a G

r

r

r

dw ty t

dt

d t

w t d t y d

r

D

N

f f

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Nr

u VD r

p p pN

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CMG T 43

Fig. (a). Calculated waveforms at each step of simulating procedure. This is the case for signal duration of

seconds. A and B are schematics of isotropic volume change and associated deformation. C and D are

expected tilt change and translational displacement, respectively. E is apparent displacement trace due to tilt

change. Tilt response of CMG T is convolved. F is velocity trace derived from translational displacement.

G is apparent velocity trace due to tilt change. H is translational velocity filtered by CMG T response. I is

combined velocity seismogram that will be output from CMG T, and J is displacement seismogram.

Fig. a Fig. b

F CMG T .

( ) Fig. c .

Fig. a H

Fig. a I Fig. a J

Fig. a G H

.

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44

Fig. (b). Same to Fig a. Signal duration is seconds.

CMG T

CMG T

CMG T

2 2 -*

+

.*

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1

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CMG T 45

Fig. (c). Same to Fig. a. Signal duration is seconds.

e ects on the double-time integration of linear acceler-

ometers : an experimental approach.

, .

Bouchon, M. and Aki, K. ( ) Strain, tilt, and rotation

associated with strong ground motion in the vicinity of

earthquakes faults. , .

Chouet, B., Dawson, P., Ohminato, T., Martini, M.,

Saccorotti, G., Giudicepietro, F., De Luca, G., Milana,

G. and Scarpa R. ( ) Source mechanisms of explo-

sions at Stromboli Volcano, Italy, determined fromAki, K. and Richards, P.G. ( )

moment-tensor inversions of very-long-period data., Second Eds., University Science Books, p.

, , doi : . / JB .Aster, R., Mah, S., Kyle, P., McIntosh, W., Dunbar, W.,

Graizer, V.M. ( ) Determination of the true groundJohnson, J., Ruiz, M. and McNamara, S. ( ) Very

displacement by using strong motion records.long period oscillations of Mount Erebus Volcano,

, ., , doi : . / JB .

Havskov, J. and Alguacil, G. ( ) Instrumentation inBoroschek, R.L. and Legrand, D. ( ) Tilt motion

earthquake seismology. Modern approaches in geophys-

Bull. Seism. Soc.

Am.,

Bull. Seism. Soc. Am.,

J.

Geophys. Res.,

Izv. USSRJ.

Acad. Sci., Physics Solid Earth,Geophys. Res.,

Quantitative seismolo-

gy

.*

2 2 +*

#

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White, R.A. ( ) Tilt recorded by a portable broad-

46

ics, , Springer, p.

Graizer, V.M. ( ) On inertial seismometry.

, .

Graizer, V.M. ( ) Inertial seismometry methods.

, .

Graizer, V. ( ) Tilts in strong ground motion.

, .

Rodgers, P.W. ( ) The response of the horizontal pen-

dulum seismometer to Rayleigh and Love waves, tilt, and

free oscillations of the earth. ,

.

Usher, M.J., Burch, R.F. and Guralp, C. ( ) Wide-

band feedback seismometers. ,

.

Wielandt, E. and Forbriger, T. ( ) Near-field seismic (A )displacement and tilt associated with the explosive activ-

ity of Stromboli. , .

Wiens, D.A., Pozgay, S.H., Shore, P. J., Sauter, A.W. and( ) ( )

band seismograph : the eruption of Anatahan Vol-

cano, Mariana Islands. , L ,

doi : . / GL . (A )( ) S

S .

Applied Geomechanics. Hz

T

z t

Izv. USSR

Acad. Sci., Physics Solid Earth,

Izv.

USSR Acad. Sci., Physics Solid Earth,

Bull.

Seism. Soc. Am.,

fBull. Seism. Soc. Am.,

h

Phys. Earth Planet. Int.,

z hz z H t

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Wi i h

f

f

f

f

Appendix :

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