• Journal of the Korean Geotechnical Society
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• v.22 no.12
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• pp.15-24
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• 2006

The evaluation of shear modulus is very important in various fields of civil engineering. Non-destructive seismic methods can be used to determine shear wave velocity ($V_s$) profile. Non-destructive seismic methods geneally consist of three steps: field testing, evaluation of dispersion curve, and determination of Vs profile by inversion process. Non-destructive seismic methods can be divided into two categories according to the number of receivers used for data reduction: two-channel tests and multi-channel tests. Two channel tests use apparent velocity dispersion curve and multi-channel tests use mode dispersion curves. Multi-channel tests using mode dispersion curve can reduce calculation time to determine soil profile and uncertainties in inversion process. So far, only multi-channel tests can determine mode dispersion curves but multi-channel test needs many receivers to determine reasonable mode dispersion curves. In this paper, HWAW (Harmonic Wavelet Analysis of Wave) method is applied to determine mode dispersion curves. HWAW method uses short test setup which consists of two receivers with a spacing of 1 to 3 m. Through numerical simulations and field application, it is shown that HWAW can determine resonable mode disperson curves.

• The Journal of Engineering Geology
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• v.17 no.3
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• pp.329-337
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• 2007

For seven NX sized borehole models constructed from physical property data for representative geology in Korea, dispersion curves were derived and compared between models having different physical parameters. By comparing and analyzing the dispersion curves obtained from different sources (monopole and dipole) and different borehole sizes (76 mm and 150 mm), dispersion characteristics in sonic log could be understood better, particularly in the case of slim hole sonic log.

• Journal of the Korean Geotechnical Society
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• v.17 no.1
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• pp.77-84
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• 2001

SASW 기법은 실험에서 얻은 실험분산곡선이 현장 지반 강성의 주상을 합리적으로 반영하므로 실험결과로부터 전단파 속도 주상도를 신속하게 결정할 수 있는 장점을 가지고 있다. 그러나, 실험결과를 해석하는 과정에서 현재까지는 지반의 층상구조를 수평으로 가정하는 근본적인 한계점을 지니고 있었다. 이는 지반이 수평층상구조가 아닐 경우 해석적인 해를 구하기 힘들기 때문이다. 본 논문에서는 유한요소 수치해석을 통하여 경사진 지반에서 SASW 기법을 수행했을 경우 지반경사를 고려한 지반 조건이 실험분산곡선에 미치는 영향을 규명하였다. 이를 위하여 지반의 기울기와 표면파 전파 방향이 실험분산곡선에 미치는 영향과 파의 전파형상에 미치는 영향을 규명하기 위한 해석을 수행하였다. 해석결과 경사지반에서 지반 조건이 변함에 따라 실험 분산곡선에 많은 변화가 나타났고, 경사진 지반에서 파의 전파현상은 수평 층에서의 파의 전파형상과는 전혀 다른 특성으로 나타남을 알 수 있었다.

• Journal of the Korean Geotechnical Society
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• v.24 no.4
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• pp.115-123
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• 2008

The dispersive phase velocity of a wave propagating through multilayered systems such as a soil site is an important parameter and carries valuable information in non-destructive site characterization tests. The dispersive phase velocity of a wave can be determined using the phase spectrum, which is easily evaluated through the cross power spectrum. However, the phase spectrum determined using the cross power spectrum is easily distorted by background noise which always exists in the field. This causes distortion of measured signal and difficulties in the determination of the dispersive phase velocities. In this paper, a new method to evaluate the phase spectrum using the harmonic wavelet transform is proposed and the phase spectrum by the proposed method is applied to the determination of dispersion curve. The proposed method can successfully remove background noise effects. To evaluate the validity of the proposed method, numerical simulations of multi-layered systems were performed. Phase spectrums and dispersion curves determined by the proposed method were found to be in good agreement with the actual phase spectrums and dispersion curves biased by heavy background noise. The comparison manifests the proposed method to be a very useful tool to overcome noise effects.

• Proceedings of the Korea Water Resources Association Conference
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• 2008.05a
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• pp.1770-1773
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• 2008

수위-유량 관계 곡선식에 포함되어져 있는 매개변수를 추정하기 위해 많이 사용되는 로그선형 회귀분석은 잔차의 비등분산성(heterocesdascity)을 고려하지 못하므로 본 연구에서는 의사우도추정법(Pseudo-likelihood Estimation, P-LE)에 의해 분산함수를 추정하고 이와 함께 회귀계수를 추정할 수 있는 방법을 제시하였다. 이 과정에서 제시된 회귀잔차를 최소화하기 위하여 SA(simulated annealing)이라는 전역 최적화 알고리즘을 적용하였다. 또한 수위-유량 관계 곡선식은 단면 등의 영향으로 인해 구간에 따라 각각 다르게 구축되어져야 하므로 이를 보다 객관적으로 판단하고 분리 위치를 정확히 추정하기 위하여 Heaviside 함수를 의사우도함수에 포함시켜 결과를 추정하도록 하였으며, 2개의 구간을 가지는 유량자료를 이용하여 제시된 방법의 합리성을 통계적으로 실험하였다. 이와 같이 통계적 실험을 통해 제시된 방법들이 기존 방법과 비교하여 가질 수 있는 장점을 파악하였으며, 제시된 방법들을 금강유역 5개 지점에서 대해 수행하여 효율성을 검증하였다.

• Korean Journal of Optics and Photonics
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• v.12 no.6
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• pp.479-484
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• 2001

The analysis of photonic band gaps and anomalous dispersion phenomena in photonic crystals requires understanding of band structures and dispersion surfaces. We show the results of the calculation of band structures and dispersion surfaces for a few two- dimensional lattices, using the finite-difference time-domain method with periodic boundary conditions. In addition, localized defect modes the exist within the band gap are computed by the same method.

• Geophysics and Geophysical Exploration
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• v.11 no.3
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• pp.230-241
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• 2008

Characteristics of transfer responses for arrays like triangle, hexagon and semicircle were investigated. To characterize the site near Izmit city with ambient noise measurement, dispersion curves of surface waves were derived with using array technique like F-K, High resolution F-K, MSPAC and H/V ratio was calculated. Also, MASW was surveyed to get the high frequency part of dispersion curves. The transition from fundamental mode to first high mode of surface waves for dispersion curve was observed. Dispersion curve of fundamental mode of ambient noise and first higher mode of MASW was used in inversion to get S-wave velocity structure of subsurface. None-unique problem of results of surface wave inversion was solved with comparison of result of refraction tomography performed with first arrivals of MASW data.

• Journal of the Korean Geotechnical Society
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• v.17 no.1
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• pp.67-76
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• 2001

현장지반의 최대전단탄성계수를 신속하고 합리적으로 구할 수 있는 표면파기법에 대해 유한요소법을 이용하여 시뮬레이션 할 경우 적용할 수 있는 효율적인 해석조건에 대한 연구를 수행하였다. 본 연구결과 파의 전파형상을 효율적으로 묘사하기 위하여는 관심 있는 최소 파장에 대한 유한요소 크기의 비가 매우 중요한 요소임을 확인하였고, 데이터의 측정시간간격도 중요한 요소임을 확인하였다. 또한, 유한요소해석을 이용하여 얻은 반무한체 시스템과 2층 시스템의 분산곡선과 이론적 분산곡선이 비교적 잘 일치함을 볼 수 있었다. 따라서, 유한요소해석을 적절히 적용하는 경우에 표면파기법을 효과적으로 시뮬레이션 할 수 없음을 확인하였다. 현장지반의 최대전단탄성계수를 신속하고 합리적으로 구할 수 있는 표면파기법에 대해 유한요소법을 이용하여 시뮬레이션 할 경우 적용할 수 있는 효율적인 해석조건에 대한 연구를 수행하였다. 본 연구결과 파의 전파형상을 효율적으로 묘사하기 위하여는 관심 있는 최소 파장에 대한 유한요소 크기의 비가 매우 중요한 요소임을 확인하였고, 데이터의 측정시간간격도 중요한 요소임을 확인하였다. 또한, 유한요소해석을 이용하여 얻은 반무한체 시스템과 2층 시스템의 분산곡선과 이론적 분산곡선이 비교적 잘 일치함을 볼 수 있었다. 따라서, 유한요소해석을 적절히 적용하는 경우에 표면파기법을 효과적으로 시뮬레이션 할 수 없음을 확인하였다.

• Geophysics and Geophysical Exploration
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• v.12 no.1
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• pp.154-162
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• 2009

Sonic wave dispersion characteristics are one of the most important targets of study, particularly in estimating shear wave velocity from borehole sonic logging. We have tested dispersion characteristics using monopole and dipole sources. Theoretical dispersion curves were computed for tool-absent and tool-included models having the same physical properties but different diameters (including ${\Phi}520mm$, ${\Phi}150mm$, and ${\Phi}76mm$). Comparisons were made between boreholes of different sizes and between tool-absent and tool-included models. Between the tool-included and the tool-absent boreholes, a close similarity in dispersion curve shape was revealed for the monopole source, and a significant difference was shown for the dipole source. However, for the cut-off frequency, particularly in the engineering boreholes (${\Phi}76mm$ and ${\Phi}50mm$), a significant difference was observed for signals from the monopole source, but approximately the same cut-off frequencies were found with the dipole source. This indicates the need of careful choice of source frequency in monopole-source sonic logging, particularly in an engineering borehole. The results of numerical experiments show that cut-off frequency is exponentially proportional to the inverse of borehole radius, irrespective of the mode type and the presence of a tool, and that the cut-off frequencies for each borehole environment could be expressed as an exponential function, rather than the inversely proportional relationship between the cut-off frequency and the borehole radius that was previously generally recognised. From the direct comparison of dispersion curves, the effects on the dispersion characteristics of borehole size and the presence of the tool can be revealed more clearly than in previous studies, which presented the dispersion curve and/or characteristics for each borehole environment separately.

• Journal of the Korean Geotechnical Society
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• v.25 no.4
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• pp.5-17
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• 2009

In HWAW method, experimental dispersion curve is obtained through time-frequency analysis, and inversion procedure is based on the forward modeling which considers full wavefield. Therefore, it enables us to use relatively short testing setup and has advantage for two dimensional subsurface imaging compared with another surface wave methods. Numerical study was performed to verify that the HWAW method can be applied to non-horizontally layerd soil structure. The experimental dispersion curves obtained from HWAW method agreed with the theoretical dispersion curves based on full wavefield. Experimental dispersion curves are mainly more affected by the region between two receivers than by the region from source to the first receiver. Fluctuation phenomena of dispersion curve can be reduced by adequate receiver spacing setup. From numerical study, it was thought that reliable Vs distribution map can be constructed by HWAW method and finally subsurface imaging was tried in the real field.