• Title/Summary/Keyword: 분산 곡선

Search Result 286, Processing Time 0.023 seconds

Three-dimensional S-wave Velocity Structure and Radial Anisotropy of Crust and Uppermost Mantle Beneath East Asia (동아시아 지각과 최상부맨틀의 3차원 S파 속도구조 및 이방성 연구)

  • Lim, DoYoon;Chang, Sung-Joon
    • Geophysics and Geophysical Exploration
    • /
    • v.21 no.1
    • /
    • pp.33-40
    • /
    • 2018
  • We investigate the crustal and uppermost mantle SV- and SH-wave velocity structure and radial anisotropy beneath East Asia including Korea, China and Japan. Rayleigh waves and Love waves were extracted from the seismic data recorded at broadband seismic stations in East Asia. Using the MFT (Multiple Filter Technique), we obtained group velocity dispersion curves of Rayleigh and Love waves with a period range of 3 to 200 s. We obtained 62466 Rayleigh-waves dispersion-curve measurements in vertical components and 54141 Love-waves dispersion-curve measurements in transverse components, respectively. The inverted models using these data sets provide SV- and SH-wave velocity structure of crust and uppermost mantle down to 100 km depth. In both cases of the S-wave velocity structures, strong high-velocity anomalies are observed down to 30 km depth beneath the East Sea, and deeper than 30 km depth, strong low-velocity anomalies are found beneath the Tibetan plateau. In the case of the SH-wave velocity structure, strong low-velocity anomalies are observed beneath the East Sea deeper than 30 km depth, leading to negative anisotropy. On the other hand, positive anisotropy is usually observed beneath the Tibetan plateau.

A depth-integrated numerical model considering the secondary flows in the channel bend (만곡부 이차류 특성을 고려한 수심 적분된 2차원 수치모형)

  • Kim, Tae-Beom;Choi, Byung-Woong;Choi, Sung-Uk
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 2009.05a
    • /
    • pp.555-559
    • /
    • 2009
  • 난류응력은 순간속도성분을 시간평균성분과 편차성분의 합으로 보고 Navier-Stokes 방정식으로부터 Reynolds 방정식을 유도할 때 나타나게 된다. Reynolds 방정식으로부터 수심 적분된 천수방정식을 유도하는 과정에서 시간 평균된 유속성분을 수심 적분된 유속성분과 편차성분의 합으로 본다면, 분산응력 (dispersion stress)이라고 하는 추가적인 새로운 항이 잔류하게 된다. 점성응력, 난류응력, 그리고 분산응력을 통칭하여 유효응력 (effective stress)이라고 한다. 일반적으로 수심에 비해 수로 폭이 넓은 개수로에서는 유효응력이 흐름특성의 수치 근사해에 큰 영향을 미치지 못한다고 가정하여 2차원 수심적분 모형에서 유효응력을 생략하기도 한다. 또한 유효응력을 적용하더라도, 점성응력이 난류응력에 비해 무시할 만큼 작다고 가정하여 난류응력만을 적용하며, 분산응력은 무시된다. 하지만 만곡부에서는 원심력과 편수위로 인한 횡방향 압력의 불균형이 발생하기 때문에, 만곡부의 이차류가 발생되며, 유속의 연직방향 분포도 일정하지 않게 된다. 따라서 본 연구의 목적은 만곡부의 이차류 특성을 수심적분 2차원 모형에 반영하기 위해 분산응력을 고려한 모형의 개발 및 검증이다. 불규칙한 모의영역을 원활히 나타낼 수 있도록 곡선좌표계를 사용하는 여타 모형들과 달리 유한유소법을 이용하여 수치해를 구하며, 따라서 x, y 좌표축을 사용하는 데카르트 좌표계를 사용하여 지배방정식을 나타낸다. 분산응력의 유 무에 따른 수치결과를 Rozovskii의 $180^{\circ}$ 만곡수로 실내실험 자료와 비교하여 개발 모형을 검증한다.

  • PDF

Dispersion of Silicon Nitride Particles and Sintering Additives of AlN and Nd$_2$O$_3$ in Nonaqueous Suspending Media (비수계분산매체에서 질화규소와 소결첨가제 AlN 및 Nd$_2$O$_3$의 분산)

  • 김재원;백운규;윤경진
    • Journal of the Korean Ceramic Society
    • /
    • v.36 no.2
    • /
    • pp.210-219
    • /
    • 1999
  • The fundamental dispersion property of Si2N4 and a combination of AlN and Nd2O3 as sintering additives in a variety of organic solvents such as alcohols, hydrocarbons, ketones, and ethers was investigated. The stabilization mechanism and interaction between organic functional groups of the various organic additives were studied to clarify the dispersibility of the ceramic particles in the nonaqueous suspending medium. characterization of the suspensions was based mainly on electrokinetic sonic amplitude(ESA) measurements and the flow curves obtained from the rheological studies as well as estimated Hamaker constants. It was found that the contribution of electrostatic repulsive forces to the Si3N4, AlN and Nd2O3 stabilization in organic media is appreciably greater than anticipated and is dependent on the physicochemical properties of organic solvents.

  • PDF

Variation of the Group Velocity of Lamb Wave $S_o$ Mode with the Propagating Direction in the Laminated Unidirectional CFRP Plates (단일방향 탄소섬유복합재료 적층 판에서 전파 방향에 따른 램파 $S_o$ 모드의 군속도의 변화)

  • Kim Young H.;Lee Seung Seok;Kim Ho Chul;Lee Jeong Ki
    • Composites Research
    • /
    • v.18 no.1
    • /
    • pp.38-44
    • /
    • 2005
  • In this paper, the group velocity dispersion curves of the $S_o$ symmetric mode in unidirectional CFRP plate was calculated as varying the propagating direction. The group velocity curve was obtained with the group velocities of the $S_o$ symmetric mode corresponding to 0.2 MHz-mm under the first cut-off frequency in the dispersion curves, and corrected by introducing the slowness curve. The velocities of the $S_o$ symmetric mode in the unidirectional CFRP plate were measured as varying the propagating direction and compared with the col?rotted group velocity curve. The measured velocities were good agreement with the corrected group velocity curve except near the fiber direction which was called the cusp region. It implies that the direction of the group velocities incline toward the fiber direction of the unidirectional CFRP plates when the propagation direction is not accorded with the principal axis. It is supposed that this phenomenon rerults from the preferential propagating the energy toward the direction with the faster propagation velocity.

Analytical Studies for SASW Measurements Underwater

  • Lee, Byung-Sik
    • Geotechnical Engineering
    • /
    • v.13 no.3
    • /
    • pp.53-62
    • /
    • 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.

  • PDF

A Study of Comparison with Free Wave Number Between a New Cylinderical Wave Equation and the Wave Equation by Junger and Feit (자유파수를 이용한 새로운 실린더 운동방정식과 Junger and Feit의 실린더 운동방정식의 비교연구)

  • Jo, Heung-Kuk
    • The Journal of the Acoustical Society of Korea
    • /
    • v.15 no.6
    • /
    • pp.47-51
    • /
    • 1996
  • The Cylindrical Shell Equation is one of the fundamental tools in the study of the noise analysis in the cylindrical shell. Therefore, lot of the acousticians induced many cylindrical shell motion equations.[1] In the Reference[6], we introduced the newly induced cylindrical Shell Equation and Junger and Feit's shell equation[5], and computed the free wave number with the linear Equation with the supposed solution, in the case of the free motion of the shell. In this paper, we compared above cylindrical shell equations by using dispersion curve of free wave number and we describe the physical mean for the dispersion curve with ring-frequency and ring-extention-frequency. With this result, we proves the useful of a newly induced cylindrical shell equation and we can analyse the Structure-Borne Sound of the shell with this equation in the application.

  • PDF

Analysis of Buried Pipelines Using Ground Strain Input from Seismic Waves (지반변형률에 의한 매설관의 지진차 거동 해석)

  • Kim, Moon-Kyum;Cho, Woo-Yeon;Eo. Jun;Lee, Kang-Won
    • Journal of the Earthquake Engineering Society of Korea
    • /
    • v.4 no.4
    • /
    • pp.15-26
    • /
    • 2000
  • 지진파 전파로 인한 매설관에 작용하는 지진하중은 지진특성 및 지반조건에 따른 지반변형률로부터 산정되어야 한다. 그러나. 기존에 사용되고 있는 경험적인 방법에 의해 계산된 지반변형률 모형은 지진 및 지반의 지역적 특수성을 고려할 수 없는 문제점을 내포하고 있다. 따라서, 본 연구에서는 이러한 문제점을 개선하기 위하여 지진특성 및 지반조선을 반영할 수 있는 수정된 지반변형률 모형을 제안하고 개발된 모형을 매설관로의 지진해석에 지진하중으로 적용하였다. 여기서, 지반변형률을 예측하기 위한 지진판 전파속도는 지반조건을 고려할 수 있도록 파 에너지분포에 근거한 분산곡선을 제안하여 산정하였다. 이러한 과정을 통해 얻어진 지반변형률 산정방법에 타당성을 파악하기 위해 예측한 지반변형률과 과거 지진으로 실측된 지반변형률을 비교하였다. 타당성이 입증된 지반변형률 모형을 매설관의 하중으로 적용하여 지진해석을 실시하였으며, 계산결과는 범용 유한요소해석을 통한 동해석 및 응답변위법에 의한 결과와 비교하였다. 이를 통해 지반 변형률 모형을 적용한 매설관 지진해석의 타당성을 검증하였다. 또한, 지진 및 지반환경이 다른 다양한 관의 특성을 반영하기 위해, 지진 지반 및 관의 영향 인자에 대해 매개변수 해석에 실시되었으며, 이로써 본 연구의 활용성을 검토하였다.

  • PDF

Evaluation of Dynamic Properties of Natural Soils and Pavement Systems Using Surface Wave Technique - Theoretical Dispersion Curves - (표면파기법을 이용한 자연지반 및 포장구조의 동적물성 추정에 관한 연구 - 이론적 분산곡선 -)

  • Kim, Soo Il;Woo, Je Yoon
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.7 no.2
    • /
    • pp.121-130
    • /
    • 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.

  • PDF

Identification of Uncertainty in Fitting Rating Curve with Bayesian Regression (베이지안 회귀분석을 이용한 수위-유량 관계곡선의 불확실성 분석)

  • Kim, Sang-Ug;Lee, Kil-Seong
    • Journal of Korea Water Resources Association
    • /
    • v.41 no.9
    • /
    • pp.943-958
    • /
    • 2008
  • This study employs Bayesian regression analysis for fitting discharge rating curves. The parameter estimates using the Bayesian regression analysis were compared to ordinary least square method using the t-distribution. In these comparisons, the mean values from the t-distribution and the Bayesian regression are not significantly different. However, the difference between upper and lower limits are remarkably reduced with the Bayesian regression. Therefore, from the point of view of uncertainty analysis, the Bayesian regression is more attractive than the conventional method based on a t-distribution because the data size at the site of interest is typically insufficient to estimate the parameters in rating curve. The merits and demerits of the two types of estimation methods are analyzed through the statistical simulation considering heteroscedasticity. The validation of the Bayesian regression is also performed using real stage-discharge data which were observed at 5 gauges on the Anyangcheon basin. Because the true parameters at 5 gauges are unknown, the quantitative accuracy of the Bayesian regression can not be assessed. However, it can be suggested that the uncertainty in rating curves at 5 gauges be reduced by Bayesian regression.