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1、Ground–liner interaction in rock tunnelingMoorak Son a,*, Edward J. Cording ba Korean Intellectual Property Office, Construction Technology Exam., Government Complex, Daejeon Building 4, Dunsan-dong, Seo-gu, Daejeon, Sou
2、th Korea b Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, 205 N. Mathews Avenue MC-250, Urbana, IL 61801, United StatesReceived 20 March 2005; received in revised form 15 A
3、ugust 2005; accepted 20 March 2006 Available online 2 May 2006AbstractTunnel constructions are gradually increasing because of the development and upgrade of infrastructures such as highway, subway, railway, and many oth
4、er facilities. Most of tunnels are excavated either by using drilling and blasting or by using tunnel excavation machines such as TBM (tunneling boring machine) or Shield. NATM (new Austrian tunneling method) is one of m
5、ost frequently used tunneling methods and it uses drilling and blasting to excavate a tunnel in rock. While tunnel excavation using TBM or Shield machines produces quite a regular and smooth tunnel excavation surface, th
6、e tunnel excavation using drilling and blasting results in a very irreg- ular and rough excavation surface. The stress behavior in a shotcrete tunnel liner installed along the excavation surface is very dependent on the
7、surface status and tunnel engineer should consider the surface condition for the design of a shotcrete tunnel liner. Numerical analyses are conducted to investigate the effect of the irregularity of tunnel excavation sur
8、face on the response of the shot- crete tunnel liner. For the investigations, the controlled parameters include the irregularity of the excavation surface, the stiffness of the surrounding ground, and the coefficient of
9、earth pressure at rest. The investigations show that the response of a shotcrete tunnel liner is highly dependent on the parameters and for the same earth pressure condition the effect is more evident when the irregulari
10、ty is more severe and the surrounding ground is less stiff. ? 2006 Elsevier Ltd. All rights reserved.Keywords: Rock tunnel; Excavation surface irregularity; Shotcrete liner; Ground–liner interaction; Flexibility1. Introd
11、uctionTunnel is a main underground structure and is widely used for transportation transfer, water passage, and other purposes such as electricity or communication cable installation. With the development and upgrade of
12、infra- structures, tunnel construction is increasing all over the world and tunnel engineer is more aware of the impor- tance of the safety and economics of tunnel construction. In relation to tunnel construction, Peck (
13、1969) stated three issues, which are first, maintaining stability and safety during construction, second, minimizing unfavor-able impact on 3rd parties, and finally performing intended function over the life of a project
14、. Among the issues, the first issue is directly related to the appropriate design of tunnel support system. In rock tunneling, the tunnel excavation conducted either by using drilling and blasting or by using tunnel exca
15、vation machines such as TBM or Shield. NATM (new Austrian tunneling method), which is widely used for a tunnel construction, uses the drilling and blasting method to excavate a tunnel in rock and a shotcrete liner and ro
16、ck bolts are used as a main support system. The tun- nel excavation using drilling and blasting results in a rela- tively irregular tunnel excavation surface, compared with tunnel excavation machines using TBM or Shield.
17、 The level of the irregularity depends on blasting method, rock stiff- ness, rock joint characteristic, scaling, and workmanship.0886-7798/$ - see front matter ? 2006 Elsevier Ltd. All rights reserved. doi:10.1016/j.tust
18、.2006.03.002* Corresponding author. Tel.: +82 11 9831 6940; fax: +82 42 472 3519. E-mail addresses: moorakson@empal.com (M. Son), ecording@uiuc.edu (E.J. Cording).www.elsevier.com/locate/tustTunnelling and Underground Sp
19、ace Technology 22 (2007) 1–9Tunnelling and Underground Space Technologyincorporating TrenchlessTechnology ResearchFor the uniform external pressure, P, the diametral strain of the circular tunnel liner (Fig. 2b) is given
20、 byDDD ¼ PRElt ð8Þand the extensional stiffness of the liner in plane strain is defined by as follows:PDD=D ¼ EltRð1 ? t2 l Þ ð9Þwhere El is the elastic modulus of the liner and R
21、and t are, respectively, the radius and the thickness of the liner. The compressibility ratio (C) is obtained by dividing the exten- sional stiffness of ground by that of the liner and is defined as follows:C ¼E
22、40;1þtÞð1?2tÞElt Rð1?t2 l Þ ð10ÞA tunnel liner should be designed safe and stable for the thrust and moment induced by the external load. Because of the interaction between the gro
23、und and the liner, the thrust and moment in the liner are affected by the flexibility and compressibility ratios as Burns and Richard (1964) have shown. For a given condition, the measure of moment and thrust in the line
24、r can be theoretically obtained as follows:MomentðMÞ ¼ PR22 ð1 þ KoÞ ð1 ? 2tÞC6F? ?½1 ? Ln??þ 0:5ð1 ? KoÞ½1 ? J n ? 2N n? cos 2h?ð11ÞThrustð
25、TÞ ¼ PR22 ð1 þ KoÞ½1 ? Ln f ?þð1 ? KoÞ½1 þ J n? cos 2hg ð12Þwhere Ko is the earth pressure coefficient at rest, h is the an- gle measured in counterclockwi
26、se from horizontal plane, F is the flexibility ratio and C is the compressibility ratio.Ln ¼ ð1 ? 2tÞðC ? 1Þ1 þ ð1 ? 2tÞC ð13ÞJ n ¼ ½ð1 ? 2tÞð1 ?
27、 CÞ?F ? 0:5ð1 ? 2tÞ2C þ 2½ð3 ? 2tÞ þ ð1 ? 2tÞC?F þ 0:5ð5 ? 6tÞð1 ? 2tÞC þ ð6 ? 8tÞð14ÞN n ¼ ½1 þ ð1
28、? 2tÞC?F ? 0:5ð1 ? 2tÞC ? 2½ð3 ? 2tÞ þ ð1 ? 2tÞC?F þ 0:5ð5 ? 6tÞð1 ? 2tÞC þ ð6 ? 8tÞð15ÞThe moment and thrust that are theore
29、tically deter- mined are based on the assumption that the liner has a uni- form thickness along the tunnel perimeter and there is no slippage at the contact between the ground and the liner. The theoretical values of the
30、 moment and thrust at the tun- nel crown and springline are plotted and compared with the results of numerical analyses under various conditions in the following section.3. Numerical analysisNumerical analyses are run to
31、 investigate the response of the liner in rock tunneling. As mentioned previously, rock tunneling with drilling and blasting induces a tunnel excavation surface irregular and rough. The irregularity of the excavation sur
32、face may result in the thrust and moment increase in the liner installed along the tunnel excavation perimeter due to the stress concentration. How- ever, the theoretical relationship for the ground–liner inter- action i
33、s based on the assumption that the tunnel excavation surface is smooth enough with no irregularity and the liner thickness is uniform along the tunnel perimeter. In rock tunneling excavated with drilling and blasting, it
34、 is difficult to make the tunnel excavation surface com- pletely smooth, though it is possible to reduce the level of irregularity. Accordingly, it is quite important to investi- gate the thrust and moment change in a sh
35、otcrete tunnel liner due to the irregularity and to provide some reasonable concepts for designing and installing a shotcrete tunnel liner for a tunnel in rock, which is excavated with drilling and blasting. Numerical an
36、alyses are performed with the 2-D Univer- sal Distinct Element Code (UDEC 3.1, 2000). The advan- tages of the numerical analysis are that many different conditions can easily be considered under limited time, cost, and s
37、pace, and reproducible analyses are possible. These characteristics enable the effects of various parame- ters on the responses of a shotcrete tunnel liner installed along the irregular tunnel excavation surface to be in
38、vestigated. A tunnel is assumed to have a circular shape with the diameter of 10m and to be constructed at the depth of 30 m below the ground surface (Fig. 3). Considering the symmetric condition of the tunnel, a quarter
39、 portion of the tunnel is used for the numerical tests (Fig. 4a–4d). The boundary condition for the ground and liner was roller supports at the left vertical and bottom horizontal bound- aries and the ground stress was a
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