• Title/Summary/Keyword: Biot theory

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Estimation of Void Ratio by Elastic Wave Velocities (탄성파 속도를 이용한 간극비 산정 기법 연구)

  • Yoon, Hyung-Koo;Jung, Soon-Hyuck;Jeong, Hun-Jun;Lee, Jong-Sub
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.03a
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    • pp.198-207
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    • 2010
  • Many methods and techniques have been developed to obtain the accurate design parameters in soft soils. In particular, several researchers suggest the techniques to get the void ratio for understanding the soil behavior. The objective of this paper verifies the accuracy of the proposed analytical solution for determining the void ratio based on the elastic wave velocities. The paper covers the theories of Wood, Biot, Gassmann and Foti proposed chronological order. The total theory represents the wave propagation in fully saturated medium. To verify the proposed analytical solution, the laboratory and field tests are carried out. After measuring the elastic wave, the void ratios are assessed using proposed equation. The volume based void ratios are also obtained for comparing with the estimated value by several equations. The values estimated by volume, Gassmann and Biot are show good similarity. However, the void ratios based on Wood and Foti methods have a slightly different trend. This study suggests that the theories of Biot and Gassmann may be a useful equation for assessing the void ratio using elastic wave velocities in the field.

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Numerical analysis of Self-Boring Pressuremeter test results using FEM - Consolidation characteristics of clay (유한요소해석을 이용한 SBP 시험의 결과해석 - 점성토 지반의 압밀특성)

  • 장인성;정충기
    • Proceedings of the Korean Geotechical Society Conference
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    • 1999.10a
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    • pp.67-74
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    • 1999
  • Self-Boring Pressuremeter Test(SBPT) is known to be the most effective in-situ test method which can reliably determine consolidation characteristics as well as deformation modules and untrained shear strength. In order to derive the coefficient of consolidation using SBPT results it is necessary to obtain the dissipation behavior from the pore pressure change with time during constant radial strain(generally 10%) and to derive the reliable time factor(Τ) from the analytical method which considers the real in-situ conditions. As previous studies on time factor are based on the assumptions of plane strain condition that the membrane of SBP is infinite, of untrained condition during the expansion of the probe and of elastic soil behavior during consolidation, these analyses can't consider the real boundary conditions and the real soil behaviour. In this study, consolidation analysis similar to real in-situ conditions including test procedure is conducted using finite element program which employs MCC model and Biot theory. Time factor considering the effects of finite membrane length, the total pressure change during consolidation and partial drainage is proposed and compared with previous results.

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One-dimensional Topology Optimization for Transmission Loss Maximization of Multi-layered Acoustic Foams (전달손실 최대화를 위한 공기-흡음재 배열 최적설계)

  • Lee, Joong-Seok;Kim, Yoon-Young;Kim, Jung-Soo;Kang, Yeon-June;Kim, Eun-Il
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.11a
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    • pp.938-941
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    • 2006
  • We present a new design method of one-dimensional multi-layered acoustic foams for transmission loss maximization by topology optimization. Multi-layered acoustic foam sequences consisting of acoustic air layers and poroelastic material layers are designed for target frequency values. For successful topology optimization design of multi-layered acoustic foams, the material interpolation concept of topology optimization is adopted. In doing so, an acoustic air layer is modeled as a limiting poroelastic material layer; acoustic air and poroelastic material are handled by a single set of governing equations based on Biot's theory. For efficient analysis of a specific multi-layered foam appearing during optimization, we do not solve the differential equations directly, but we use an efficient transfer matrix approach which can be derived from Biot's theory. Through some numerical case studies, the proposed design method for finding optimal multi-layer sequencing is validated.

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Numerical analysis of embankment primary consolidation with porosity-dependent and strain-dependent coefficient of permeability

  • Balic, Anis;Hadzalic, Emina;Dolarevic, Samir
    • Coupled systems mechanics
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    • v.11 no.2
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    • pp.93-106
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    • 2022
  • The total embankment settlement consists of three stages: the initial settlement, the primary consolidation settlement, and the secondary consolidation settlement. The total embankment settlement is largely controlled by the primary consolidation settlement, which is usually computed with numerical models that implement Biot's theory of consolidation. The key parameter that affects the primary consolidation time is the coefficient of permeability. Due to the complex stress and strain states in the foundation soil under the embankment, to be able to predict the consolidation time more precisely, aside from porosity-dependency, the strain-dependency of the coefficient of permeability should be also taken into account in numerical analyses. In this paper, we propose a two-dimensional plane strain numerical model of embankment primary consolidation, which implements Biot's theory of consolidation with both porosity-dependent and strain-dependent coefficient of permeability. We perform several numerical simulations. First, we demonstrate the influence of the strain-dependent coefficient of permeability on the computed results. Next, we validate our numerical model by comparing computed results against in-situ measurements for two road embankments: one near the city of Saga, and the other near the city of Boston. Finally, we give our concluding remarks.

A poroelastic model for ultrasonic wave attenuation in partially frozen brines (부분 동결된 소금물에서의 초음파감쇠에 대한 다공성탄성 모델)

  • Matsushima, Jun;Nibe, Takao;Suzuki, Makoto;Kato, Yoshibumi;Rokugawa, Shuichi
    • Geophysics and Geophysical Exploration
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    • v.14 no.1
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    • pp.105-115
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    • 2011
  • Although there are many possible mechanisms for the intrinsic seismic attenuation in composite materials that include fluids, relative motion between solids and fluids during seismic wave propagation is one of the most important attenuation mechanisms. In our previous study, we conducted ultrasonic wave transmission measurements on an ice-brine coexisting system to examine the influence on ultrasonic waves of the unfrozen brine in the pore microstructure of ice. In order to elucidate the physical mechanism responsible for ultrasonic wave attenuation in the frequency range of 350.600 kHz, measured at different temperatures in partially frozen brines, we employed a poroelastic model based on the Biot theory to describe the propagation of ultrasonic waves through partially frozen brines. By assuming that the solid phase is ice and the liquid phase is the unfrozen brine, fluid properties measured by a pulsed nuclear magnetic resonance technique were used to calculate porosities at different temperatures. The computed intrinsic attenuation at 500 kHz cannot completely predict the measured attenuation results from the experimental study in an ice-brine coexisting system, which suggests that other attenuation mechanisms such as the squirt-flow mechanism and wave scattering effect should be taken into account.

Effect of the Non-linear Permeability of Clays on the Behavior of Soils in Embankment Construction (제방 성토시 지반거동에 대한 점토의 비선형 투수성의 영향)

  • Kim, Tae-Hoon;Han, Tae-Gon;Yoo, Ki-Cheong;Lee, Song
    • Journal of the Korean Geotechnical Society
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    • v.20 no.6
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    • pp.61-73
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    • 2004
  • The coefficient of permeability of natural clay shows a nonlinear property which is related to various stress level of soils, and this nonlinear property has effect on the period of consolidation and the property of deformation in clay soils under loading. Thus, in this paper the numerical analysis was conducted by FEM-using coupled theory which incorporated Biot's consolidation theory into modified Cam-clay model- to consider the effects of nonlinear permeability on the behavior of clay soils under loading. The result of this paper showed that nonlinear permeability had different effects on the deformation and excess pore water pressure in clay soils according to the change of ratios of coefficients of permeability which was presented a degree of nonlinear property, and average coefficients of permeability of soils. Therefore, it was concluded that nonlinear permeability should be considered according to both the change of ratios of coefficients of permeability and average coefficients of permeability to conduct more simultaneous analyses to field conditions.

Calculating transmission loss of cylindrical silencers lined with multi-layered poroelastic sound absorbing materials using mode matching method (모드 매칭법을 이용한 다층 다공성 탄성 흠음재가 채워진 원통형 소음기의 음향투과손실 계산)

  • Lee, Jongmoo;Yang, Haesang;Seong, Woojae
    • The Journal of the Acoustical Society of Korea
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    • v.41 no.4
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    • pp.375-388
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    • 2022
  • This paper deals with the process of obtaining sound transmission loss of a cylindrical silencer lined with multi-layered poroelastic sound absorbing materials. The Biot model and the Johnson-Champoux-Allard-Lafarge (JCAL) model were used to deal with waves propagating in multi-layered poroelastic materials. The boundary conditions required for analysis of the silencer were obtained and the numerical process of finding modes was explained. A numerical experiment was conducted on the 2-layered silencer using the modes and the transmission loss converged with the first 12 modes. Finally, the mode matching method proposed in this research was validated by being compared with the results calculated from Finite Element Method (FEM) about different kinds of sound absorbing materials.

Stability Analysis of Marangoni Convection for $NH_3\;-H_2O$ Absorption Process (전파이론을 통한 $NH_3\;-H_2O$ 흡수과정의 마란고니 대류 안정성 해석)

  • 최창균;김제익;강용태
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.14 no.6
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    • pp.450-455
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    • 2002
  • Convective instability driven by surface tension is analyzed in an initially quiescent water absorbing ammonia gas using the linear stability theory. The propagation theory is adapated to find the critical conditions of the onset of solutal Maragoni convection. In this theory, the solutal penetration depth is chosen as the length scale factor. The results show that the liquid layer becomes more stable with decreasing the Schmidt number It is interesting that for a smaller Biot number than 100, the system becomes stable with decreasing Bi but for a larger Bi, it becomes unstable with decreasing Bi.

FINITE ELEMENT ANALYSIS OF FLUID-SATURATED GROUND SYSTEM UNDER INCREMENTAL EXCAVATION (침수지반의 단계적 굴착해석)

  • 구정회;홍순조;김문겸;황학주
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1993.04a
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    • pp.207-212
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    • 1993
  • In the construction of underground structures, it is critical to accurately predict the ground deformations during excavation. In this paper, a finite element procedure for the computation of solid displacement and fluid pore pressure during incremental excavation is presented based on Biot's theory. The numerical formulation is done using the virtual work principle. The proposed procedure is applied to some example problems with different excavation rates and permeabilities.

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Analysis of Linear Consolidation Problems by the Boundary Element Method (경계요소법에 의한 선형 압밀문제의 해석)

  • 서일교
    • Computational Structural Engineering
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    • v.8 no.4
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    • pp.129-136
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    • 1995
  • This paper presents a boundary element method for obtaining approximate solutions of 2-dimensional consolidation problems based on the Biot's linear theory. Laplace transform is applied to differential equation system in order to eliminate the time dependency. The boundary integral equations in transformed space are formulated and the fundamental solutions are shown in a closed form. In order to convert the transformed solutions to the ones in real space, the Hosono's numerical Laplace transform inversion method is applied. As a numerical example, a half-space consolidation problem subjected to a strip local load is selected and the applicability of the method is demonstrated through the comparison with the exact solutions.

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