지구물리와물리탐사 (Geophysics and Geophysical Exploration)

  • 제15권4호
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  • Pages.155-162
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  • 2012
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  • 1229-1064(pISSN)
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  • 2384-051X(eISSN)
한국지구물리·물리탐사학회 (Korean Society of Earth and Exploration Geophysicists)
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천부 속도이상층이 레일리파 위상속도 및 수직변위 스펙트럼 진폭에 미치는 영향

Rayleigh-wave Phase Velocities and Spectral Amplitudes Affected by Insertion of an Anomalous Velocity Layer in the Overburden

  • 김기영 (강원대학교 지구물리학과) ;
  • 정진훈 (강원대학교 지구물리학과)
  • Kim, Ki Young (Department of Geophysics, Kangwon National University) ;
  • Jung, Jinhoon (Department of Geophysics, Kangwon National University)
  • 투고 : 2012.10.08
  • 심사 : 2012.11.15
  • 발행 : 2012.11.30
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초록

기반암의 상부 토양층에 협재하는 속도이상층이 레일리파 위상속도와 수직변위의 스펙트럼 진폭에 미치는 영향을 분석하기 위하여 Thomsen-Haskell 방법을 사용하였다. 기본모델은 횡파속도(${\nu}_s$) 300 m/s의 토양층이 9 m 두께로 ${\nu}_s$가 1000 m/s인 반무한 기반암 위에 쌓여 있다. 토양층 내에 두께 1, 2, 3 m, S파속도 150, 225, 375, 450 m/s인 삽입층은 지표부터 깊이 1 m 간격으로 놓여있다. 레일리파 위상속도($C_R$)는 4 ~ 30 Hz 주파수 구간에서 계산하였다. 삽입층 모델은 두께가 1 m일 때, 기본모델과 삽입모델의 위상속도 차이인 ${\Delta}C_R$에 민감하게 반응하는 주파수 대역은 8 ~ 20 Hz이며, 이 주파수 대역은 삽입층의 두께가 증가할수록 넓어진다. 1차 고차모드의 저주파 차단주파수 바로 위의 주파수 구간을 제외하면, 모든 모델에서 기본모드의 스펙트럼 진폭이 1차 고f차모드보다 크다.

The Thomsen-Haskell method was used to determine sensitivities of the Rayleigh-wave phase velocities and spectral amplitude of vertical ground motion to insertion of a single velocity-anomaly layer into overburden underlain by a basement. The reference model comprised a 9-m thick overburden with shear-wave velocity (${\nu}_s$ of 300 m/s above a half-space with ${\nu}_s$ = 1000 m/s. The inserted layer, with a velocity of 150, 225, 375, or 450 m/s and a thickness of 1, 2, or 3 m, was placed at depths increasing from the surface in increments of 1 m. Phase velocities were computed for frequencies of 4 to 30 Hz. For inserted layer models, we placed an anomalous layer with thickness of 1 ~ 3 m, shear-wave velocity of 150 ~ 450 m/s, and at depths of 0 ~ 8 m in the overburden. The frequency range of 8 ~ 20 Hz were the most sensitive to the difference of $C_R$ between the inserted and reference models (${\Delta}C_R$) for h = 1 m and the frequency range got wide as h increased. For all of the models, the spectral amplitudes of the fundamental mode exceeded those of the $1^{st}$-higher mode except at frequencies just above the low-frequency cutoff of the $1^{st}$-higher mode.

키워드

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