• 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.5 no.2
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• pp.99-107
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• 2002

An analytical forward modeling algorithm was developed for the efficient application to the geotechnical engineering in SASW (Spectral Analysis of Surface Waves) method. for the theoretical dispersion curve, the finite difference method using motion stress vector, which was proposed by Aki and Richards, was employed and verified with two earth models. For the stable and fast calculation, it was found that the model size depending on the frequency range is suitable $1.5\~2$ times bigger than the wavelength.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.7 no.2
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• pp.121-130
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• 1987

A new analytical method to determine the theoretical dispersion curves of Rayleigh wave in multilayered elastic media is developed. The method developed in this study gives the solutions for unlimited frequency, and is essential part of surface wave techniques to evaluate the layer profiles and dynamic properties of soils and pavement systems. Delta-Matrix technique is utilized to overcome the overflow and loss of precision problem inherent in the original Thomson-Haskell formulation at high frequencies. Conventional inversion methods based on the original Thomson-Haskell formulation lead to erroneous results due to the limitations on the layer profiles and the magnitude of frequency. The method developed in this study establishes the base of the research on more accurate and efficient inversion method, especially for the pavement systems as well as the natural soils.

• Journal of the Korean Geophysical Society
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• v.5 no.3
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• pp.233-245
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• 2002

The spectral-analysis-of-surface-waves (SASW) method is a nondestructive testing method based upon generation and detection of elastic stress waves. SASW is widely used as one of the techniques to determine stiffness profile in engineering geophysics. The essential steps involved are construction of an experimental dispersion curve from data collected in situ, and inversion of the dispersion curve to determine the stiffness profile. The main object of this study is to derive an analytical Jacobian for the inversion. If we set the subsurface to N homogeneous layer, it could save 2N times Jacobian calculation compared to numerical jacobian calculation during inversion. To reconstruct a stiffness profile, constrained damped least square method was applied for the inversion. The algorithm was tested for the numerical data and for the real asphalt and tunnel data, which were able to verify the stiffness profile. The stiffness profile reconstructed by the algorithm showed the possibility to appraise the soundness of tunnel with applications SASW.

• Journal of the Korean Geophysical Society
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• v.3 no.4
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• pp.251-260
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• 2000

Applicabilities of two numerical methods, the 2-dimensional and the 3-dimensional method, are evaluated to inverse test results obtained from the underwater SASW(Spectral -Analysis-of-Surface-Waves) method. As a result of this study, it has been found that the 2-dimensional method can supposed to be applicable for the cases where stiffness of soil layer increases gradually with depth, and the stiffness is relatively low. For the other cases, however, it has been concluded that the 3-dimensional method needs to be applied to determine realistic theoretical dispersion curves. An example is also shown that in situ soil profile underwater is estimated from experimental dispersion curves using the 3-dimensional method. As a results, it can be concluded that the underwater SASW method can be effectively applied to explore the underwater soil condition.

• Journal of the Korean Geotechnical Society
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• v.23 no.2
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• pp.5-17
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• 2007

Various field setup and filtering criteria have been suggested to avoid the near field effects in surface wave methods. Unlike other surface wave methods HWAW method uses the near field component positively. It is possible by using maximum energy point based on time-frequency map and inversion method to consider receiver locations from the source point and body wave component. To verify the HWAW method in the near field numerical study was performed and the wave propagation in the stratified soil media was simulated due to a surface point load. All of five representative soil models were used. The experimental dispersion curves, determined by HWAW method at the various receiver distances in the region of near field, all coincided well with the theoretical dispersion curves determined by 3D forward modeling (Kausel's method). Consequently, it was considered that the HWAW method can provide reliable $V_s$ profiles effectively in the near field.

• 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.

• Geotechnical Engineering
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• v.13 no.3
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• pp.53-62
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• 1997

Analytical studies were conducted to develop the Spectral-Analysis-of-Surface-Waves (SASW) method for underwater use. For the precise estimation of the in-situ soil stiffness profile from SASW measurements, it is essential to determine economical and reasonable theoretical dispersion curves reflecting various experimental conditions. In this paper, therefore, analytical methods are mainly discussed, which were developed to determine theoretical dispersion curves of surface waves propagated along the soil-water interface. Application of the analytical methods is then illustrated by an example involving estimation of a stiffness profile through a forward modeling process of SASW measurements. Applicabilities of the SASW method as well as the developed analytical methods are evaluated, respectively, from the example.

• The Korean Journal of Financial Management
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• v.19 no.2
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• pp.27-48
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• 2002

본 논문은 이자율의 기간 구조가 차익 거래의 기회가 없도록 움직일 때 새로운 평균만기 측 정치인 AR 평균만기(arbitrage-free duration)을 도출하고 선물가격과 선도가격과의 관계를 분석한다. 지금까지 평균만기에 관한 많은 연구들은 수익률 곡선이 특정한 형태로 이동한다는 가정 하에서 평균만기를 유도하고 이에 근거하여 채권가격의 변동치를 측정하고 있다. 본 논문에서는 기존의 평균만기의 가정을 완화한 AR 평균만기를 도출하였다. 여기서 제시하는 AR 평균만기는 기존의 Macaulay 평균만기를 포함하는 일반화한 측정치라고 할 수 있다. 아울러 본 논문에서는 선물가격과 선도가격사이에 존재하는 이론적 관계를 규명하고자 하였다. 선물가격은 선도가격에 비해 할인된 가격이라는 것을 보이고 이자율 변동위험이 선물가격의 할인정도에 미치는 영향을 모형화 하였다. 최근 들어 선물을 이용한 채권 면역화에 대한 실증연구에 관심이 지속적으로 증가하고 있다. 전통적 실증연구 방법론에서는 먼저, 선물가격과 기초채권 가격사이에 존재하는 분산-공분산 행렬을 추정한다. 그런 후 추정된 분산-공분산 행렬을 바탕으로 이자율 위험 헤징 전략을 수립한 후 이 전략에 대한 실증 분석을 수행하였다. 그러나, 전통적 접근법의 가장 큰 문제는 비안정적(non-stationary)인 분산-공분산 행렬을 적절히 고려할 수 없었다는 점이다. 따라서, 본 연구의 결과를 기반으로 하면 최적의 헷징 전략을 수립하기 위한 이론적 기틀을 수립할 수 있을 것이다.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.8 no.4
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• pp.49-57
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• 1988

A new analytical inversion technique is developed to determine the shear wave velocity profiles of natural soils and pavement systems from the dispersion curves of Rayleigh waves. Haskell's theory on the dispersion of the surface waves in multi-layered elastic solids is utilized. A frequency-unlimited dispersion equation is developed by use of the delta matrix technique. Rigid halfspace is assumed at the depth of the one wavelength of Rayleigh waves. Computer program is coded and validity of the technique is verified through the numerical model tests.