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표면파에 대한 웨이블렛 변환을 이용한 모형 암반의 위상속도 예측

Evaluation of phase velocity in model rock mass using wavelet transform of surface wave

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참고문헌

키워드

주제분류토목공학

초록

Prediction of ground condition ahead of tunnel face might be the most important factor to prevent collapse during tunnel excavation. In this study, a non-destructive method to evaluate the phase velocity in model rock mass using wavelet transform of surface wave was proposed aiming at ground condition assessment ahead of tunnel face. Model tests using gypsum as a rocklike material composed of two layers were performed. A piezoelectric actuator with frequencies ranging from 150 Hz to 5 kHz was selected as a harmonic source. The acceleration history was measured with two accelerometers. Wavelet transform analysis was used to obtain the dispersion curves from the measured data. The experimental results showed that the near-field effects can be neglected if the distance between two receivers is chosen to be three times the wavelength. A simple inversion method using weighted factor based on the normal distribution was proposed. The inversion results showed that the predicted phase velocity agreed reasonably well with the measured one when the wavelength influence factor was 0.2. The depth of propagation of surface wave was from 0.42 to 0.63 times the wavelength. The range of wavelength varying with phase velocity in dispersion curve matched well with that estimated by inversion technique.

Abstract

Prediction of ground condition ahead of tunnel face might be the most important factor to prevent collapse during tunnel excavation. In this study, a non-destructive method to evaluate the phase velocity in model rock mass using wavelet transform of surface wave was proposed aiming at ground condition assessment ahead of tunnel face. Model tests using gypsum as a rocklike material composed of two layers were performed. A piezoelectric actuator with frequencies ranging from 150 Hz to 5 kHz was selected as a harmonic source. The acceleration history was measured with two accelerometers. Wavelet transform analysis was used to obtain the dispersion curves from the measured data. The experimental results showed that the near-field effects can be neglected if the distance between two receivers is chosen to be three times the wavelength. A simple inversion method using weighted factor based on the normal distribution was proposed. The inversion results showed that the predicted phase velocity agreed reasonably well with the measured one when the wavelength influence factor was 0.2. The depth of propagation of surface wave was from 0.42 to 0.63 times the wavelength. The range of wavelength varying with phase velocity in dispersion curve matched well with that estimated by inversion technique.

참고문헌 (10)

  1. 박형춘, "HWAW(Harmonic Wavelet analysis of Wave) 방법을 이용한 새로운 탄성파 지반조사기법의 개발 (Ⅰ)-분산곡선의 결정-", 대한토목학회 논문집C, 24(2c), pp.105~115 (2004), 대한토목학회
  2. 이성원, "웨이블릿 변환을 이용한 터널 암반의 발파 손상영역 평가 연구", 박사, pp.2006
  3. 이승훈, "웨이브렛 변환 이론 및 적용" (2004), 보성각
  4. Achenbach,J.D, "Wave propagation in elastic solids" (1975), North-Holland Publishing Company
  5. Inoue, H, "Experimental wavelet analysis of flexural waves in beams", Experimental Mechanics, 36(3), pp.212~217 (1996)
  6. Park, H. C., "Evaluation of the dispersive phase and group velocities using harmonic wavelet transform", NDT&E International, 34, pp.457~467 (2001)
  7. Rix, G. J, "In situ measurement of damping ratio using surface waves", Journal of Geotechnical and Geoenvironmental Engineering, 126(5), pp.472~480 (2000)
  8. Rix, G. J., "Simultaneous measurements of surface wave dispersion and attenuation curves", Geotechnical Testing Journal, 24(4), pp.350~358 (2001)
  9. Santamarina, J. C., "Soils and waves" (2001), John Wiley & Sons
  10. Stokoe, K. H, "Seismic-wave- based testing in geotechnical engineering", International Conference on Geotechnical and Geological Engineering, pp.1490~1536 (2000)

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