• Title/Summary/Keyword: Terzaghi's method

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2-D Consolidation Numerical Analysis of Multi_Layered Soils (다층 지반의 2차원 압밀 수치해석)

  • 김팔규;류권일;남상규;이재식
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.03b
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    • pp.467-474
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    • 2000
  • The application of Terzaghi's theory of consolidation for analysing the settlement of multi-layered soils is not strictly valid because the theory involves an assumption that the soil is homogeneous. The settlement of stratified soils with confined aquifer can be analysed using numerical techniques whereby the governing differential equation is replaced by 2-dimensional finite difference approximations. The problems of discontinuous layer interface are very important in the algorithm and programming for the analysis of multi-layered consolidation using a numerical analysis, finite difference method(F.D.M.). Better results can be obtained by the process for discontinuous layer interface, since it can help consolidation analysis to model the actual ground The purpose of this paper provides an efficient computer algorithm based on numerical analysis using finite difference method(F.D.M) which account for multi-layered soils with confined aquifer to determine the degree of consolidation and excess pore pressures relative to time and positions more realistically.

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Estimation of Settlement Caused by Lateral Displacement by Means of the Differences of Settlements from Consolidation Theory and Field Measurement (압밀이론에 의한 침하량과 현장계측 침하량의 차에 의한 측방유동 침하량 산정)

  • Kang, Min-Soo;Jeon, Sang-Ok;Eam, Sung-Hoon
    • Journal of The Korean Society of Agricultural Engineers
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    • v.51 no.5
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    • pp.59-68
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    • 2009
  • In this study, it was developed that the software could be used to estimate consolidation settlement by curve fitting method according to Terzaghi's consolidation theory on the condition of gradual incremental loading, and the method of estimating settlement caused by lateral displacement was suggested, in which the settlement was calculated from the difference between the settlement calculated with the developed software using the early part of measured data and the settlement measured for the short duration from the beginning of embankment in the field. The verification of the suggested method of estimating settlement caused by lateral displacement showed good results.

Numerical Computation of Bearing Capacity Factor $N_{\gamma}$ (지지력 계수 $N_{\gamma}$의 수치적 산정법)

  • Kim, Won-Cheul
    • Proceedings of the Korean Geotechical Society Conference
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    • 2004.03b
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    • pp.565-573
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    • 2004
  • This study is to present explicit analytical expressions for calculating bearing capacity factor $N_{\gamma}$, to provide results of the numerical computation instead of the graphical method. In this study, $N_{\gamma}$ is proposed in the critical failure surface on assumption that the center of log spiral in the radial shear zone can be located at the any points of around footing. The critical failure surface is one which yields minimum passive pressure $P_{\gamma}$ on the radial shear zone from the family of log spirals accoding to change of the center of log spiral. This study adoptes Terzaghi's bearing capacity principle(e.g., Prandtl's mechanism, limit equilibrium equation, superposition principle) but the soil wedge in an elastic zone makes angle $45^{\circ}+{\phi}/2$ with the horizontal and the location of the log spiral's center.

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Numerical Analysis of Multi-dimensional Consolidation Based on Non-Linear Model (비선형 모델에 의한 다차원 압밀의 수치해석)

  • Jeong, Jin-Seop;Gang, Byeong-Seon;Nam, Gung-Mun
    • Geotechnical Engineering
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    • v.1 no.1
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    • pp.59-72
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    • 1985
  • This paper deals with the numerical analysis by the (mite element method introducing Biot's theory of consolidation and the modified Cambridge model proposed by Roscoe school of Cambridge University as constitutive equation and using Christian-Boehner's technique. Especially, time interval and division of elements are investigated in vies of stability and economics. In order to check the validity of author's program, the program was tested with one-dimensional consolidation case followed by Terzaghi's exact solution and with the results of the Magnan's analysis for existing banking carried out for study at Cubzac-les-ports in France. The main conclusions obtained are summarized as follows: 1. In the case of one-dimensional consolidation, the more divided the elements are near the surface of the foundation, the higher the accuracy of the numerical analysis is. 2. For the time interval, it is stable to divide 20 times per 1-lg cycle. 3. At the element which has long drain distance, the Mandel-fryer effect appears due to time lag. 4. Lateral displacement at an initial loading stage predicted by author's program, in which the load was assumed as not concentrative. but rather in grid form, is well consistent with the value of observation. 5. The pore water pressure predicted by author's program has a better accordance with the value of observation compared with Magnan's results. 6. Optimum construction control by Matsuo-Kawamura's method is possible with the predicted lateral displacement and settlement by the program.

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Applicability of Settlement Prediction Methods to Selfweight Consolidated Ground (자중압밀지반에 대한 침하예측기법의 적용성)

  • Jun, Sang-Hyun;Jeon, Jin-Yong;Yoo, Nam-Jae
    • Journal of Industrial Technology
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    • v.28 no.B
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    • pp.91-99
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    • 2008
  • Applicability of existing methods of predicting consolidation settlement was assessed by analyzing results of centrifuge tests modelling self-weight consolidation of soft marine clay. From extensive literature review about self-weight consolidation of soft marine clays located in southern coast in Korea, constitutive relationships of void ratio-effective stress-permeability and typical self-weight consolidation curves with time were obtained by centrifuge model experiments. For the condition of surcharge loading, exact solution of consolidation settlement curve was obtained by Terzaghi's consolidation theory and was compared with the results predicted by currently available methods such as Hyperbolic method, Asaoka's method, Hoshino's method and ${\sqrt{S}}$ method. All methods were found to have their own inherent error to predict final consolidation settlement. From results of analyzing the self-weight consolidation with time by using those methods, Asaoka's method predicted the best. Hyperbolic method predicted relatively well in error range of 2~24% for the case of showing the linearity in the relationship between T vs T/S in the stage of consolidation degree of 60~90 %. For the case of relation curve of T vs $T/S^2$ showing the lineality after the middle stage, error range from Hoshino method was close to those from Hyperbolic method. However, Hoshino method is not able to predict the final settlement in the case of relation curve of T vs $T/S^2$ being horizontal. For the given data about self-weight consolidation after the middle stage, relation curve of T vs T/S from ${\sqrt{S}}$ method shows the better linearity than that of T vs $T/{\sqrt{s}}$ from Hyperbolic method.

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Prediction of Excess Pore Water Pressure of Reservoir Embankment on Soft Ground (연약지반상에 축조된 저수지 제방의 과잉공극수압 예측)

  • Min, Hag-Gyou;Lee, Dal-Won
    • Journal of The Korean Society of Agricultural Engineers
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    • v.50 no.2
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    • pp.37-44
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    • 2008
  • A theoretical equation was proposed to consider the effect of ponding for the excess pore water pressure in agricultural reservoir on soft clay ground. The value of excess pore water pressure predicted using the proposed equation was compared to those predicted with the Terzaghi's method and the finite difference method(FDM), respectively, for the purpose of verification. The degree of consolidation according to ponding predicted by applying the proposed equation was close to the observed degree of consolidation on the double drainage condition(at DP-3) but it was less than the observed degree of consolidation on the single drainage condition(at DP-5). The equation was very applicable to practice because the analysis result by the equation was close to the observed data.

A Study on the Applicability of Hyperbolic Settlement Prediction Method to Consolidation Settlement in the Dredged and Reclaimed Ground (준설매립지반의 압밀침하에 대한 쌍곡선 침하예측기법의 적용성 연구)

  • Yoo, Nam-Jae;Jun, Sang-Hyun;Jeon, Jin-Yong
    • Journal of Industrial Technology
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    • v.28 no.A
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    • pp.11-17
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    • 2008
  • Applicability of hyperbolic settlement prediction method to consolidation settlement in the dredged and reclaimed ground was assessed by analyzing results of centrifuge tests modelling self-weight consolidation of soft marine clay. From literature review about self-weight consolidation of soft marine clays located in southern coast in Korea, constitutive relationships of void ratio - effective stress - permeability and typical self-weight consolidation curves with time were obtained by analyzing centrifuge model experiments. For the condition of surcharge loading, exact solution of consolidation settlement curve obtained by using Terzaghi's consolidation theory was compared with results predicted by the hyperbolic method. It was found to have its own inherent error to predict final consolidation settlement. From results of analyzing thc self-weight consolidation with time by using this method, it predicted relatively well in error range of 0.04~18% for the case of showing the linearity in the relationship between T vs T/S in the stage of consolidation degree of 60~90 %. However, it overestimated the final settlement with large errors if those relation curves were nonlinear.

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Reliability Based Stability Analysis and Design Criteria for pile Foundation (신뢰성이론에 의한 말뚝기초의 안정해석 및 설계규준)

  • 이증빈;김영인;박철수;이정식;신형우
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1991.10a
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    • pp.102-107
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    • 1991
  • This study a reliability based design criteria for the Pile foundation, Which is common type of bridge founfation, and also proposes the theoretical bases limit state equations of stalbility analvsis of Pile foundation and the uncertainty measuring algorithms of each equation are also derived by MFOSM using the pile reations of displacement method, Terzaghi's bearing capacity formula, and chang's lateral load formula. The Level of uncertainties comesponding to these algorithms are proposed approprite values considering our actuality. It may be asserted that the proposed LRFD reliability based design criteria for the pile foundation may have to be incorporated in to the current Highway Bridge Design codes as a design provision corresponding to the USD(or LFD) provisions of the current Highway Bridge Design Code.

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A Study on the Characteristics of Tunnel Based on the Rock Mass Classification (암반분류법에 근거한 터널 특성 연구)

  • Lee Song;Ahn Tae-Hun
    • Journal of the Korean Geotechnical Society
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    • v.21 no.3
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    • pp.19-25
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    • 2005
  • A tunnel that uses the RMR method or the Q-system is called a 'modem tunnel' because the New Austrian Tunneling Method (NATM) is not employed, even though shotcrete and rock bolts are used as support. It is known that the modem tunnel, which is supported by shotcrete, is basically different from the conventional tunnel, which is supported by steel ribs. In order to preserve the load-carrying capacity of the rock mass, loosening and excessive rock deformations must be minimized. Although it is known that this can be achieved by applying shotcrete in the case of the modem tunnel, this has not been clearly demonstrated. In order to inspect the distinctions between the conventional tunnel and the modern tunnel, their support characteristics and the rock loads of the rock mass classifications are compared. Terzaghi's rock load classification was used as the conventional tunnel's representative rock mass classification. The RMR method and the Q-system were adopted as the modem tunnel's representative rock mass classification. The study's results show that the load-carrying capacity of shotcrete, when used as the main support in the modern tunnel, is greater than the load-capacity of the steel ribs used in the conventional tunnel. Because it has been verified that the rock loads of their rock mass classifications are not different, then, according to the rock mass classifications, the load-carrying capacity of the rock mass of the modern tunnel, which uses shotcrete, is not greater than that of the conventional tunnel.

Lesson and proposal of revised equations from the Pan method application case for soft clay improvement (PBD 공법 시공사례를 통한 교훈 및 개선안 제안)

  • 유한구;조영묵;김종석;박정규
    • Proceedings of the Korean Geotechical Society Conference
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    • 2001.10a
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    • pp.147-158
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    • 2001
  • In general, two methods have been used to predict settlement of soft ground. One method is Terzaghi's one dimensional consolidation theory which gives time-settlement relationship using the standard consolidation test results. The other is forecasting method of ground settlement to be occured in the future using in-situ monitoring data. The above both methods have some defects in application manner or in itself especially in very deep and soft clayey ground. In view of the lessons and experiences of soft ground improvement projects, several techniques were proposed for more accurate theorectical calculation of consolidation settlement as follows ; ① Subdivision of soft ground, ② Consideration of secondary compression, ③ Using the modified compression index, etc. And also, revised hyperbolic fitting method was suggested to minimize the error of predicted future settlement. In addition, revised De-Beer equation of immediate settlement of loose sandy soil was proposed to overcome the tendency to show too small settlement calculation results by original De-Deer equation. And also, considering the various effects of settlement delay in the improved ground by vertical drains, time-settlement caculation equation(Onoue method) was revised to match the tendency of settlement delay by using the characteristics of discharge capacity decreases of vertical drain with time elapse by the pattern of hyperbolic equation.

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