• Title/Summary/Keyword: s-wave velocity

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Hamilton제s Principle for the Free Surface Waves of Finite Depth (유한수심 자유표면파 문제에 적용된 해밀톤원리)

  • 김도영
    • Journal of Ocean Engineering and Technology
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    • v.10 no.3
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    • pp.96-104
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    • 1996
  • Hamilton's principle is used to derive Euler-Lagrange equations for free surface flow problems of incompressible ideal fluid. The velocity field is chosen to satisfy the continuity equation a priori. This approach results in a hierarchial set of governing equations consist of two evolution equations with respect to two canonical variables and corresponding boundary value problems. The free surface elevation and the Lagrange's multiplier are the canonical variables in Hamilton's sense. This Lagrange's multiplier is a velocity potential defined on the free surface. Energy is conserved as a consequence of the Hamiltonian structure. These equations can be applied to waves in water of finite depth including generalization of Hamilton's equations given by Miles and Salmon.

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A Study on the Stress Wave Propagation of Composite Laminate Subjected to Low-Velocity Impact (저속 충격을 받는 적층 복합재의 응력파 전파에 관한 연구)

  • 안국찬;김문생;김규남
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.1
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    • pp.9-19
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    • 1989
  • The impact stress and wave propagation of graphite/epoxy and glass/epoxy laminates subjected to the transverse low-velocity impact of steel balls are investigated theoretically. A plate finite element model based on Whitney and Pagano's theory for the analysis of heterogeneous and anisotropic plates taking into account of the transverse shear deformation is used for the theoretical investigation. This model is in conjuction with static contact laws. The basic element is a four-node quadrilateral with the five degrees-of-freedom per node. The reduced integration technique is used for shear locking associated with low-order function in application to thin plates. These two materials are composed of [0.deg./45.deg./0.deg./-45.deg./0.deg.]$_{2S}$ and [90.deg./45.deg./90.deg./-45.deg./90.deg.]$_{2S}$ stacking sequences and have clamped-clamped boundary conditions. Finally, the present results are compared with an existing solution and wave propagation theory and then impact stress and wave propagation phenomena are investigated.gated.

Geoacoustic Characteristics of P-Wave Velocity in Donghae City - Ulleung Island Line, East Sea: Preliminary Results (동해시-울릉도 해저 측선에서의 P파 속도 지음향 특성: 예비 결과)

  • Ryang, Woo-Hun;Kwon, Yi-Kyun;Jin, Jae-Hwa;Kim, Hyun-Tae;Lee, Chi-Won;Jung, Ja-Hun;Kim, Dae-Choul;Choi, Jin-Hyuk;Kim, Young-Gyu;Kim, Sung-Il
    • The Journal of the Acoustical Society of Korea
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    • v.26 no.2E
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    • pp.44-49
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    • 2007
  • Donghae City - Ulleung Island Line (DC-UI Line) is a representative line for underwater and geoacoustic modeling in the middle western East Sea. In this line, an integrated model of P-wave velocity is proposed for a low-frequency range target (<200 Hz), based on high-resolution seismic profiles (2 - 7 kHz sonar and air-gun), shallow and deep cores (grab, piston, and Portable Remote Operated Drilling), and outcrop geology (Tertiary rocks and the basement on land). The basement comprises 3 geoacoustic layers of P-wave velocity ranging from 3750 to 5550 m/s. The overlying sediments consist of 7 layers of P-wave velocities ranging from 1500 to 1900 m/s. The bottom model shows that the structure is very irregular and the velocity is also variable with both vertical and lateral extension. In this area, seabed and underwater acousticians should consider that low-frequency acoustic modeling is very range-dependent and a detailed geoacoustic model is necessary for better modeling of acoustic propagation such as long-range surveillance of submarines and monitoring of currents.

Crossplot Interpretation of Electrical Resistivity and Seismic Velocity Values for Mapping Weak Zones in Levees (제방의 취약구간 파악을 위한 전기비저항과 탄성파속도의 교차출력 해석)

  • Cho, Kyoung-Seo;Kim, Jeong-In;Kim, Jong-Woo;Kim, Ji-Soo
    • The Journal of Engineering Geology
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    • v.31 no.4
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    • pp.507-522
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    • 2021
  • Specific survey objectives often cannot be met using only one geophysical method, as each method's results are influenced by the specific physical properties of subsurface materials. In particular, areas susceptible to geological hazards require investigation using more than one method in order to reduce risks to life and property. Instead of analyzing the results from each method separately, this work develops a four-quadrant criterion for classifying areas of levees as safe or weak. The assessment is based on statistically determined thresholds of seismic velocity (P-wave velocity from seismic refraction and S-wave velocity from multichannel analysis of surface waves) and electrical resistivity. Thresholds are determined by subtracting the standard deviation from the mean during performance testing of this correlation technique applied to model data of four horizontal and inclined fracture zones. Compared with results from the crossplot of resistivity and P-wave velocity, crossplot analysis using resistivity and S-wave velocity data provides more reliable information on the soil type, ground stiffness, and lithological characteristics of the levee system. A loose and sandy zone (represented by low S-wave velocity and high resistivity) falling within the second quadrant is interpreted to be a weak zone. This interpretation is well supported by the N values from standard penetrating test for the central core.

The Mechanical Properties of the Geochang Granite (거창화강암의 역학적 특성에 관한 연구)

  • Kim, Myeong Kyun
    • Tunnel and Underground Space
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    • v.25 no.1
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    • pp.24-36
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    • 2015
  • The Geochang granite widely used in construction works is one of the most popular dimension stones in Korea. In order to evaluate the physical properties of rock, a lot of laboratory tests for the Geochang granite were conducted to find unit weight, absorption ratio, P wave velocity, S wave velocity, uniaxial compressive strength, Young's modulus, Poisson's ratio, tensile strength, cohesion, friction angle and point load strength index. The uniaxial compressive strength of the Geochang granite was 19.5 times tensile strength and also 8.6 times cohesion, besides P wave velocity was 1.5 times S wave velocity. Correlation analyses were also conducted to find the correlation among 11 different physical properties, where the uniaxial compressive strength showed Pearson correlation coefficient of more than 0.8 with Poisson's ratio, point load strength index and Young's modulus, respectively. Regression analyses were finally conducted by means of both linear and multiple analysis and the brief results including coefficient of determination of more than 0.7 were presented.

Two Dimensional Shear Wave Velocity Using the Inversion of Surface Waves (표면파 역산을 이용한 2차원 S파 속도구조에 관한 연구)

  • Jung, Hee-Ok
    • Journal of the Korean earth science society
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    • v.21 no.6
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    • pp.675-682
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    • 2000
  • 25 seismic shot gathers were obtained to study the two dimensional subsurface shear wave velocities in a landfilled area near the Keum river estuary. Borehole(BH#1 and BH#2) tests at two sites were made in the same area. Standard Penetration Tests were also performed at the same time. The 2-D shear wave velocity structure resulted from the inversion of the seismic data shows that the subsurface of the studied area consists of the upper 1${\sim}$3 meter thick layer(200 m/sec${\sim}$700 m/sec), the middle 5${\sim}$8 m thick low velocity layer(100 m/sec${\sim}$400 m/sec), and the lower layer of 1000m/sec or higher shear wave velocities. The thickness of the low velocity layer decreases from the BH #1 site to the BH #2 site. The depth to the basement also decreases toward the BH #2 site. The examination of the S wave velocity structure, the description of the geologic contents, and the Standard Penetration Test values indicate that the middle layer of low shear wave velocity may be related to the clay content of the layer. On the other hand, the Standard Penetration test values increase with depth, showing no significant relationship with the geologic contents of the subsurface. This study shows that the inversion of surface waves can be effective in the study of the shear wave velocity, especially in the area where low velocity layers can be found. The method of inversion of surface waves also can be used as a viable technique to overcome the limit of the seismic refraction method.

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Analysis of Pulse Waveform and Pulse Wave Velocity of Carotid Artery and Radial Artery by Using Clip-type Pulsimeter Equipped with Permanent and Hall Device (영구자석과 홀소자가 구비된 맥진기를 이용한 경동맥과 요골동맥의 맥진파형과 맥파전달속도 분석)

  • Kim, Dong-Young;Lee, Sang-Suk;Hyeon, Seog-San;Rhee, Jin-Kyu
    • Journal of the Korean Magnetics Society
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    • v.24 no.5
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    • pp.146-151
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    • 2014
  • The pulse waveforms of a carotid artery in the neck and a radial artery in the hand wrist were individually measured by using clip-type pulsimeter equipped with a permanent and Hall device. The pulse transit time and the pulse wave velocity obtained through comparison of two pulse waveforms were analyzed each other. A value of the pulse wave velocity was about 8.5 m/s similar to one measured by a conservative method. This result suggests that the clip-type pulsimeter as the reproducible and reliable one oriental diagnostic medical device can be predicted to any atherosclerosis state in the cardiac circulatory system.

Application of linear array microtremor survey for rock mass classification in urban tunnel design (도심지 터널 암반분류를 위한 선형배열 상시진동 탄성파탐사 적용)

  • Cha Young Ho;Kang Jong Suk;Jo Churl Hyun;Lee Kun
    • 한국지구물리탐사학회:학술대회논문집
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    • 2005.05a
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    • pp.157-164
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    • 2005
  • Urban conditions such as underground facilities and ambient noises due to cultural activity restrict the application of conventional geophysical techniques in general. We used the refraction microtremor (REMI) technique as an alternative way to get the geotechnical information, in particular shear-wave (S-wave) velocity information, at a site along an existing rail road. The REMI method uses ambient noises recorded using standard refraction equipment to derived shear-wave velocity information at a site. It does a wavefield transformation on the recorded wavefield to produce Rayleigh wave dispersion curve, which are then picked and modeled to get the shear-wave velocity structure. At this site the vibrations from the running trains provided strong noise sources that allowed REMI to be very effective. REMI was performed along the planned new underground rail tunnel. In addition, Suspension PS logging (SPS) were carried out at selected boreholes along the profile in order to draw out the quantitative relation between the shear wave velocity from the PS logging and the rock mass rating (RMR) determined from the inspection of the cores recovered from the same boreholes, These correlations were then used to relate the shear-wave velocity derived from REMI to RMR along the entire profile. The correlation between shear wave velocity and RMR was very good and so it was possible to estimate the RMR of the total zone of interest for the design of underground tunnel,

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Investigation into Weathering Degree and Shear Wave Velocity for Decomposed Granite in Hongsung (홍성 지역 화강 풍화 지층에 대한 풍화도 및 전단파 속도 고찰)

  • Sun, Chang-Guk;Kim, Bo-Hyun;Chung, Choong-Ki
    • Proceedings of the Korean Geotechical Society Conference
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    • 2005.10a
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    • pp.360-372
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    • 2005
  • The weathering degree and shear wave velocity, $V_S$, were evaluated for decomposed granite layers in Hongsung, where earthquake damages have occurred. The subsurface geological layers and their $V_S$ profiles were determined, respectively, from boring investigations and seismic tests such as crosshole, downhole and SASW tests. The subsurface layers were composed of 10 to 40 m thickness of weathered residual soil and weathered rock in most sites. In the laboratory, the weathering indexes with depth were estimated based on the results of X-ray fluorescence analysis using samples obtained from field, together with the dynamic soil properties determined from resonant column tests using reconstituted specimens. According to the results, it was examined that most weathering degrees represented such as VR, Li, CIA, MWPI and WIP were decreased with increasing depth with exception of RR and CWI. For weathered residual soils in Hongsung, the $V_S's$ determined from borehole seismic tests were slightly increased with increasing depth, and were similar to those from resonant column tests. Furthermore, the $V_S$ values were independent on the weathering degrees, which were decreased with depth.

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COMPUTATION OF THE DYNAMIC FORCE COMPONENT ON A VERTICAL CYLINDER DUE TO SECOND ORDER WAVE DIFFRACTION

  • Bhatta, Dambaru
    • Journal of applied mathematics & informatics
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    • v.26 no.1_2
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    • pp.45-60
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    • 2008
  • Here we consider the evaluation of the the dynamic component of the second order force due to wave diffraction by a circular cylinder analytically and numerically. The cylinder is fixed, vertical, surface piercing in water of finite uniform depth. The formulation of the wave-structure interaction is based on the assumption of a homogeneous, ideal, incompressible, and inviscid fluid. The nonlinearity in the wave-structure interaction problem arises from the free surface boundary conditions, namely, dynamic and kinematic free surface boundary conditions. We expand the velocity potential and free surface elevation functions in terms of a small parameter and then consider the second order diffraction problem. After deriving the pressure using Bernoulli's equation, we obtain the analytical expression for the dynamic component of the second order force on the cylinder by integrating the pressure over the wetted surface. The computation of the dynamic force component requires only the first order velocity potential. Numerical results for the dynamic force component are presented.

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