• Geomechanics and Engineering
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• 제28권3호
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• pp.225-237
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• 2022

Settlement evaluation is important for shallow tunnels in big cities to estimate the settlement that occurs due to the excavation of twin tunnels. The majority of earlier research on analytical solutions, on the other hand, concentrated on calculating the settlement for a single tunnel. This research introduces a procedure to evaluate the settlement induced by the excavation of twin tunnels (two parallel tunnels). In this study, a series of numerical analysis were performed to validate the analytical solution results. Two geological conditions were considered to derive the settlement depending on each case. The analytical and numerical methods were compared, which involved considering many sections and conducting a parametric study; the results have good agreement. Moreover, a comparison of the 3D flat model and 2D (FEM) with the analytical solution shows that in the fill soil, the maximum settlement values were obtained by the analytical solution. In contrast, the values obtained by the analytical solution in the rock is more conservative than those in the fill. Finally, this method was shown to be appropriate for twin tunnels dug side by side by utilizing finite element analysis 3D and 2D (PLAXIS 3D and PLAXIS 2D) to verify the analytical equations. Eventually, it will be possible to use this approach to predict settlement troughs over twin tunnels.

• Geomechanics and Engineering
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• 제6권3호
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• pp.263-275
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• 2014

The development of transportation in large cities requires the construction of twin tunnels located at shallow depth. As far as twin tunnels excavated in parallel are concerned, most of the cases reported in literature focused on considering the effect of the ground condition, tunnel size, depth, surface loads, the relative position between two tunnels, and construction process on the structural lining forces. However, the effect of the segment joints was not taken into account. Numerical investigation performed in this study using the $FLAC^{3D}$ finite difference element program made it possible to include considerable influences of the segment joints and tunnel distance on the structural lining forces induced in twin tunnels. The structural lining forces induced in the first tunnel through various phases are considerably affected by the second tunnel construction process. Their values induced in a segmental lining are always lower than those obtained in a continuous lining. However, the influence of joint distribution in the second tunnel on the structural forces induced in the first tunnel is insignificant. The critical influence distance between two tunnels is about two tunnel diameters.

• 터널과지하공간
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• 제29권6호
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• pp.425-438
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• 2019

본 연구에서는 일정한 방향의 층리가 발달한 퇴적암에 굴착된 지하철 병설터널을 모델링하여 축소모형 실험을 실시하였다. 연구대상 터널의 규격은 6.2 m×6.8 m이고 필러 폭은 4 m이다. 차원해석을 통해 현장암석에 적합한 모형재료를 선정하였고, 이를 사용하여 이방성 모형시험체를 제작하였으며 이축압축시험을 통해 터널의 파괴 및 변형거동을 알아보았다. 모형시험체에 하중을 증가시킴에 따라 필러의 중앙부에서 병설터널 사이를 가로지르는 최초의 균열이 발생하였고, 터널 천정부와 바닥부에서도 점차 파괴가 진행되었다. 필러부의 모든 균열은 기존의 층리면을 따라 발생하여 암반의 층리면이 필러 파괴의 주요 원인으로 나타났다. 또한, FLAC의 유비쿼터스 절리모델을 사용하여 실험 조건에 대한 수치해석을 실시함으로써 실험의 결과를 검증해 보았다. 여기서 얻어진 소성영역의 분포경향은 모형실험의 결과와 대체로 부합하여 실험의 신뢰성을 확인하였다.

• Geomechanics and Engineering
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• 제33권4호
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• pp.369-380
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• 2023

The aim of this paper is to investigate stress analysis of semi-infinite soils consisting of two layers with twin rectangular tunnels under static loads. The region close to the ground surface and tunnel modelled within finite elements. In order to use a more realistic model, the far region is modelled within infinite elements. The material model of the layered soil is considered as elastic and isotropic. In the finite element solution of the problem, two dimensional (2D) plane solid elements are used with sixteen-nodes rectangular finite and eight-nodes infinite shapes. Finite and infinite elements are ordered to be suitable for the tunnel and the soils. The governing equations of the problem are obtained by using the virtual work principle. In the numerical process, the five-point Gauss rule is used for the calculation of the integrations. In order to validate using methods, comparison studies are performed. In the numerical results, the stress distributions of the two layered soils containing twin rectangular tunnels presented. In the presented results, effects of the location of the tunnels on the stress distributions along soil depth are obtained and discussed in detail. The obtained results show that the locations of the tunnels are very effective on the stress distribution on the soils.

• Geomechanics and Engineering
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• 제30권4호
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• pp.325-336
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• 2022

This paper analyzes the ground surface settlements induced by side-by-side twin shield tunnels bored in sedimentary soils, which primarily consist of sand with clay strata above the tunnel crown. The measurements were obtained during the construction of twin tunnels underneath the Incheon International Airport (IIA) located in Korea. The measured surface settlement troughs are approximated with Gaussian functions. The trough width parameters i and K of the settlement troughs produced by the first and second tunnel passings are determined, along with those for the total settlement trough. The surface settlement troughs produced by the first shield passing are reasonably represented by a symmetric Gaussian curve. The surface settlement troughs induced by the second shield tunnel display marginal asymmetric shapes at selected sections. The total settlement troughs are fitted both with a shifted symmetric Gaussian function and the superposition method utilizing an asymmetric function for the incremental trough produced by the second tunnel. It is revealed that the superposition method does not always produce better fits with the total settlement. Instead, the shifted symmetric Gaussian function is overall demonstrated to provide more favorable agreements with the recordings. Therefore, the shifted symmetric Gaussian function is recommended to be used in the design for the prediction of the settlement in clays caused by twin tunneling considering the simplicity of the procedure compared with the superposition method. The amount of increase in the width parameter K for the twin tunnel relative to that for the single tunnel is quantified, which can be used for a preliminary estimate of the surface settlement in clay induced by twin shield tunnels.

• 터널과지하공간
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• 제20권5호
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• pp.352-359
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• 2010

병설터널에서 근접 굴착으로 인한 영향은 터널간 이격거리에 따라 달라진다. 본 논문에서는 수평절리암반에 형성된 병설터널의 이격거리에 따른 영향을 파악하기 위하여 콘크리트 블록으로 균일 수평 절리 모형 지반을 조성하고 이격거리를 변화시키면서 모형터널을 설치한 후에 대형 모형실험을 수행하였다. 병설터널의 이격거리(필라폭)는 터널 폭 D를 기준으로 0.29D, 0.59D, 0.88D, 1.18D로 변화시켰다. 실험중에 필라 응력, 터널변위, 지반 변위를 계측하였다. 측압계수는 1.0을 유지하였다. 실험결과, 터널 및 주변지반의 변위와 필라 응력은 필라 폭이 감소함에 따라 증가하였다. 각 계측항목에서 최대 변화폭이 발생하는 단계는 후행터널의 상반굴착 직후로 나타났다. 병설터널 굴착 시 가장 큰 영향을 받는 위치는 필라부와 맞닿아 있는 선행터널의 어깨부로 확인되었다. 이러한 결과는 병설터널의 안정성은 시공 시 천단변위보다 내공변위 관리를 통해 평가되어야 한다는 것을 보여준다. 또한, 병설터널의 영향권이 양호한 지반조건에 대한 경험이론의 근접시공 영향권(0.8D~2.0D)보다 근접한 0.59D~0.88D 범위에서 형성되었으며 이러한 영향범위 감소는 병설터널의 안정성에 수평절리의 영향이 있는 것으로 판단된다.

• 터널과지하공간
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• 제25권5호
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• pp.423-434
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• 2015

본 연구에서는 필러 폭과 모형재료의 강도가 서로 다른 등방성 및 이방성 암반 내 쌍굴터널의 모형실험을 통해 얻어진 터널의 변형과 필러부 균열이 발생한 이축압력 자료를 이용하여 터널 간 이격거리, 지반 강도, 등방성 및 이방성이 터널 안정성에 미치는 영향을 알아보았다. 모형재료의 일축압축강도에 대한 균열개시압력의 백분율을 균열개시압력비율이라고 정의할 경우, 강도가 큰 지반에 시공되는 쌍굴터널은 강도가 작은 지반에 비하여 균열개시압력 값은 크지만, 균열개시압력비율은 작게 나타났다. 이에 비해 필러 폭이 큰 쌍굴터널은 필러 폭이 작은 경우에 비하여 균열개시압력 값이 클 뿐 아니라 균열개시압력비율도 크게 나타나, 필러 폭은 쌍굴터널 안정성에 영향을 미치는 주된 요소로 판단된다. 지반의 등방성과 이방성 여부도 터널 안정성에 영향을 미쳤는데, 이방성 모형은 등방성 모형에 비해 균열개시압력과 균열개시압력비율이 작을 뿐 아니라 필러부에 존재한 기존 불연속면을 따라 균열이 발생하였다.

• Geomechanics and Engineering
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• 제16권3호
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• pp.295-308
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• 2018

The excavation of twin tunnels is a process that destabilizes the ground. The stability of the tunnel lining, the control of ground displacements around the tunnel resulting from each excavation and the interaction between them must be controlled. This paper provides a new approach for replacing the costly 3D analyses with the equivalent 2D analyses that closely reflects the in-situ measurements when excavating twin tunnels. The modeling was performed in two dimensions using the FLAC2D finite difference code. The three-dimensional effect of excavation is taken into account through the deconfinement rate ${\lambda}$ of the soil surrounding the excavation by applying the convergence-confinement method. A comparison between settlements derived by the proposed 2D analysis and the settlements measured in a real project in Algeria shows an acceptable agreement. Also, this paper reports the investigation into the changes in deformations on tunnel linings and surface settlements which may be expected if the twin tunnels of T4 El-Harouche Skikda were constructed with a tunneling machine. Special attention was paid to the influence of the excavation phase shift distance between the two mechanized tunnel faces. It is revealed that the ground movements and the lining deformations during tunnel excavation depend on the distance between the tunnels' axis and the excavation phase shift.

• Geomechanics and Engineering
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• 제31권1호
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• pp.15-30
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• 2022

Slope stability during the excavation of twin road tunnels is considered crucial in terms of safety. In this research, physical model testing and numerical analysis were used to investigate the characteristics of the settlement (uz) and vertical stresses (σz) along the two tunnel sections. First, two model tests for a (fill-rock) slope were conducted to study the settlement and stresses in presence and absence of slope support (plate support system). The law and value of the result were then validated by using a numerical model (FEM) based on the physical model. In addition, a finite element model with a slope supported by piles (equivalent to the plate) was used for comparison purposes. In the physical model, several rows of plates have been added to demonstrate the capacity of these plates to sustain the slope by comparing excavating twin tunnels in supported and unsupported slope, the results show that this support was effective in the upper part of the slope, while in the middle and lower part the support was limited. Additionally, the plates appear to induce less settlement in several areas of the slope with differing settlement and stress distribution as compared to piles. Furthermore, as a results of the previous mentioned investigation, there are many factors influence the stress and settlement distribution, such as the slope's cover depth, movement during excavation, buried structures such as the tunnel lining, plates or piles, and the interaction between all of these components.

• 터널과지하공간
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• 제14권5호
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• pp.381-390
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• 2004

본 연구에서는 터널간 이격거리, 지반종류, 하중조건 등이 서로 다른 11가지 쌍굴터널 모형에 대한 축소모형실험을 통하여 터널 주변지반의 변형거동을 조사하였다. 이를 위해 모래, 석고, 물의 중량비를 달리한 모형재료에 대한 물성 실험을 통해 모형재료의 특성을 연구하였다. 쌍굴터널 사이의 이격거리가 좁은 모형일수록 낮은 압력 수준에서 균열이 개시되었고 필러의 spatting현상도 잘 발달하였으며 터널의 내공변형량도 증가하였다. 경암모형은 연암 모형에 비해 평균 50% 이상 큰 하중에서 균열이 개시되었고 동일 하중하에서 내공변형량도 2배정도 작게 나타났다. 모형터널의 파괴 및 변형양상은 측압 하중조건에 따라 매우 상이하게 나타났으며, FLAC을 사용한 수치해석 결과는 모형실험의 결과와 정성적으로 부합하였다.