Damage to Mountain Tunnels by Earthquake and its Mechanism Toshihiro ASAKURA1, Kazuhiko TSUKADA1, Takeshi MATSUNAGA1 Shigeru MATSUOKA2, Kazuhide YASHIRO3, Yukio SHIBA4 and Toshio OYA4 1Dept. of Earth Resources Eng., Kyoto University E-mail : [email protected] 2Tekken Corporation 3Railway Technical Research Institute 4Taisei Corporation It is generally said that mountain tunnels are little damaged by earthquake. However, recent case studies of the damage to mountain tunnels caused by earthquakes also show that they are likely to be damaged when 1) the scale of the earthquake is large, 2) there are earthquake faults near the tunnel or 3) there are special conditions. We collected information on the tunnels which suffered damage from earthquake to study the damage mechanism of mountain tunnels. We analyzed collected data, classified damage patterns and preformed simulation analyses and model tests. Based on the study results, we concluded that we were able to classify damage patterns of mountain tunnels by earthquake into following three patterns; 1) damage to tunnel entrance and portal, 2) damage to tunnels at a fractured zone, 3) damage to tunnels by sliding of fault. We were able to prove these mechanisms by the results of simulation analyses and model tests. 1. INTRODUCTION As tunnels are surrounded by the ground, they have good earthquake-resistance if the ground is stable during an earthquake. Therefore, it is generally said that the earthquake-resistance is not necessarily required for tunnels in the stable ground. In the 1995 Hyogoken-Nanbu Earthquake, however, 10 tunnels among at least one hundred mountain tunnels in service in and around the disaster area had serious damage to need repair and reinforcement. We reconfirmed that if an earthquake was larger, even mountain tunnels would have been damaged. Damage survey of the regions affected by the 2004 Niigataken-Chuetsu Earthquake is still underway, but so far it has been revealed that among over 100 mountain tunnels, approximately 50 were damaged, including 25 or so that required repair and reinforcement, as well as those that sustained minor impacts. There are few studies on the earthquake damage mechanism of mountain tunnels. On the other hand, more and more tunnels have been constructed recently in the ground of low strength and low earth covering, to require the establishment of a method to design mountain tunnels in consideration of the effect of earthquake. We performed this study to acquire the basic knowledge of the earthquake damage mechanism of mountain tunnels. 2. DAMAGE TO MOUNTAIN TUNNELS BY EARTHQUAKE (1) Past damage to mountain tunnels by earthquake Mountain tunnels and other structures have suffered damage from large earthquakes. Table 1 outlines the damages to mountain tunnels caused by large-scale earthquakes that happened in Japan, from the 1923 Kanto Earthquake to the 2004 Niigataken-Chuetsu Earthquake. Among them, those that affected an extensive region by giving heavy damages in some areas were the 1923 Great Kanto Earthquake, 1964 Niigata Earthquake, 1978 Izu-Oshima-Kinkai Earthquake, 1995 Hyogoken-Nanbu Earthquake and 2004 Niigataken-Chuetsu Earthquake. The damages observed in the 1923 Great Kanto Earthquake, 1995 Hyogoken-Nanbu Earthquake and 2004 Niigataken-Chuetsu Earthquake are described below. Table 1 Past damage of mountain tunnels by earthquake in Japan Year, Name 1923 Kanto 1927 Kita-Tango 1930 Kita-Izu 1948 Fukui 1952 Tokachi-Oki 1961 Kita-Mino 1964 Niigata 1968 Toikchi-Oki 1978 Izu-Oshima-Kinkai 1978 Miyagiken-Oki 1982 Urakawa-Oki 1983 Nihonkai-Cyubu 1984 Naganoken-Seibu 1987 Chibaken-Toho-Oki 1993 Notohanto-Oki 1993 Hokkaido-Nansei-Oki 1995 Hyogoken-Nanbu 2004 Niigataken-Chuetsu Magni Epicenter -tude 7.9 7.3 7.3 7.1 8.2 7.0 7.5 7.9 7.0 7.4 7.1 7.7 6.8 6.7 6.6 7.8 7.2 6.8 Tunnel Performance Sagami Bay Extensive, severest damage to more than 100 tunnels in southern Kanto ( Depth: unknown ) area 7km WNW of Miyazu, Kyoto Very slight damage to 2 railway tunnels in the epicentral region ( Depth: 0km ) 7km west of Atami, Shizuoka Very severe damage to one railway tunnel due to earthquake fault ( Depth: 0km ) crossing 12km north of Fukui City Severe damage to 2 railway tunnels within 8km from the earthquake fault ( Depth: 0km ) Pacific Ocean, 73km ESE off the Cape Slight damage to 10 railway tunnels in Hokkaido Erimo ( Depth: 0km ) Near the border between Fukui and Gifu Cracking damage to a couple of aqueduct tunnels Prefectures ( Depth: 0km ) Japan Sea, 50km NNE of Niigata City Extensive damage to about 20 railway tunnels and one road tunnel ( Depth: 40km ) Pacific Ocean, 140km SSE off the Cape Slight damage to 23 railway tunnels in Hokkaido Erimo ( Depth: 0km ) In the sea between Oshima Isl. and Very severe damage to 9 railway and 4 road tunnels in a limited area Inatori, Shizuoka (depth: 0km ) Pacific Ocean, 112km east of Sendai Slight damage to 6 railway tunnels mainly existing in Miyagi Prefecture City, Miyagi ( Depth: 40km ) Pacific Ocean, 18km SW of Urakawa, Slight damage to 6 railway tunnels near Urakawa Hokkaido ( Depth: 40km ) Japan Sea, 90km west of Noshiro City, Slight damage to 8 railway tunnels in Akita, etc. Akita ( Depth: 14km ) 9km SE of Mt. Ontake, Nagano Cracking damage to one hydraulic power tunnel ( Depth: 2km ) Pacific Ocean, 8km east off Ichinomiya Damage to the wall of one railway tunnel at Kanagawa-Yamanashi Town, Chiba ( Depth: 58km ) border Japan Sea, 24km north of Suzu City, Severe damage to one road tunnel Ishikawa ( Depth: 25km ) Japan Sea, 86km west of Suttsu, Severe damage to one road tunnel due to a direct hit of falling rock Hokkaido( Depth: 35km ) Akashi strait Damage to over 20 tunnels, about 10 tunnels required repair and ( Depth: 18km ) reinforce Kawaguchi-machi, Ojiya City Damage to about 50 tunnels, of which 25 or so needed reinforcement or (Depth: 13km) repair. The 1923 Great Kanto Earthquake caused the biggest ever damage, which has still been worst in the history of mountain tunnel in Japan. At that time, there were about 149 tunnels, state-owned only including some under construction, within about 120km from the epicenter, of which 62% that is 93 tunnels were damaged by the earthquake to the point of needing repair. Among these, 25 tunnels suffered significant damages that needed remedial measures and rebuilding, such as collapse of whole tunnel and entrance. Many suffered failure and burial of the portal area, which was caused by major landslide and slope failure. The 1995 Hyogoken-Nanbu Earthquake1) affected more than 20 tunnels, including those that suffered minor damages, among over 100 that existed in the damaged region. About 10 of the affected tunnels suffered damages that required reinforcement or repair. Several tunnels were found to have collapsed at the linings due to the displacement of fractured zones and faults in this disaster. The 2005 Niigataken-Chuetsu Earthquake2) affected about 50 mountain tunnels, including those that suffered minor damages, among over 100 that existed in the damaged region. About 25 of the affected tunnels suffered damages that required reinforcement or repair. The characteristic of this earthquake was that while it was of the epicenter-on-land type (M6.8), not all the tunnels within a certain distance from seismic faults were damaged. Instead, areas where the seismic faults are supposed to have undergone significant sliding (sliding length of 1.0m or more) suffered notable damages. Compressive failure Shear crack Spalling Compressive failure Spalling Heaving Damage to side wall Damage to arch Fault, fractured zone or water inflow 500m Nunobiki Fault Gosukebashi Fault 400m Otsuki Fault Ashiya Fault (2) Damage patterns of mountain tunnels by earthquake We analyzed above-mentioned data and concluded that we were able to classify damage patterns of mountain tunnels by earthquake into the following three patterns. 1) Damage to tunnel entrance and portal 2) Damage to tunnels at a fractured zone 3) Damage to tunnels by sliding of fault Detailed damage patterns are shown below. a) Damage to tunnel entrance and portal Tunnel entrances and portals are likely to suffer from earthquake because they often exist in the loose ground where earthquake motion is amplified and the ground deforms to a large extent. The damage to tunnel entrances and portals include the inclinations of and cracks in portal walls and cracks in the lining near tunnel entrances. This damage pattern is the most popular except for damage caused by landslides around tunnel entrances. Typical examples are the damages to the Imaihama Tunnel at the 1978 Izu-Oshima-Kinkai earthquake and the Higashiyama Tunnel at the 1995 Hyogoken-Nanbu earthquake. ( Photo 1 ) The Higashiyama tunnel was constructed with concrete blocks in 1928. The geology is a relatively loose quaternary formation. Its earth covering is less than 10m. In this tunnel, existing cracks expanded; new cracks occurred in the portal wall and some cracks with spalling occurred at the shoulder of the arch along the tunnel axis at the earthquake. b) Damage to tunnels at a fractured zone If a tunnel is constructed in the ground whose earth covering is large, it generally has good earthquake-resistance due to the stiff rock mass. However, a few tunnels with large earth covering have also suffered damage from earthquake. A typical example is the damage to the Rokko Tunnel at the 1995 Hyogoken-Nanbu earthquake. The Rokko Tunnel is a long railway tunnel in Mesozoic granite with a length of over 16km. There were troubles when the tunnel was constructed Fig.1 Damage patterns observed in the Rokko Tunnel 1) Koyo Fault Photo 1 Cracks in the portal wall of the Higashiyama Tunnel 1) 16,250m 300m 200m 100m 0m For Shin-Osaka For Okayama Fig.2 Longitudinal profile and damage locations of the Rokko tunnel 1) ②アーチ部ひび割れ Crack ①クラウン部圧ざ Compressive failure ③側溝部損傷 Damage 下り線 上り線 ④路盤コンクリート浮き上り Heaving ⑤中央通路側壁コンクリート傾斜 Inclination Fig.3 Damage to the Myoken Tunnel (Schematic illustration) 2) because of a number of fractured zones at high pressure water. 1) Compressive and shear failure with spalling at the arch 2) Compressive failure with spalling at joints between the arch and side wall 3) Spalling of the lining at longitudinal construction joints These damage patterns are superimposed in Fig. 1. Fig. 2 shows the longitudinal profile of and earthquake damage locations in the Rokko Tunnel. Almost all damage locations coincide with fractured zones. The Myoken Tunnel, which was affected in the 2004 Niigataken-Chuetsu Earthquake, was found to have suffered the following damages shown in Fig. 3, which were comparable to the Rokko Tunnel: 5cm 8cm Upstream ( Sandstone and mudstone ) 5.1 m 10 .5m Crack Downstream ( Granite ) Fig.4 Damage to the lining of the Shioyadanigawa River Diversion Tunnel ( Schematic illustration ) 1) Photo 2 Damage to the lining of the Shioyadanigawa River Diversion Tunnel 1) 1) Compressive failure at the crown (about 50m long) and spalling of concrete 2) Cracks parallel to or slanted to the tunnel axis 3) Upheaval of side wall concrete (about 40mm) and cracks in invert concrete In-depth survey is still underway at the Myoken Tunnel, but the soft site condition is supposed to have been one of the causes of damages, considering the fact that the bottom heading and side drift methods had been employed in the construction work. c) Damage to tunnels by sliding of a fault Earthquake fault crossing sometimes causes severe damage to tunnels by sliding of the fault at earthquake. There are some examples of damage such as those of the Tanna Tunnel at the 1930 Kita-Izu earthquake, Inatori Tunnel at the 1978 Izu-Oshima-Kinkai earthquake, hydraulic power tunnel at the 1984 Naganoken-Seibu earthquake and Shioyadanigawa River Diversion Tunnel. ( Fig. 4, Photo 2 ) The downstream portal of the Shioyadanigawa River Diversion Tunnel is near the Suma fault and the middle of the tunnel crosses the Yokoo-yama Fault. Near the Suma Fault, ring cracks occurred at the earthquake. At the Yokoo-yama Fault, the upstream side of the tunnel moved 8 cm to the right and 5 cm upward relatively to the downstream, and a number of cracks occurred in the arch, side wall and invert concrete. The ground of the downstream side Fig.5 Analysis model Table 2 Analysis conditions ( in the normal state ) Earth covering 5m Location of foundation bed Lower end of tunnel side wall Thickness of tunnel lining 45cm Surrounding ground Sandy soil Young’s modulus of ground E=0.75kN/mm2 Modulus of subgrade spring k=25.7N/m3 (k=1/2×1×E-3/4) Strength of concrete f’ck=18N/mm2 Young’s modulus of concrete Ec=24kN/mm2 Unit weight of concrete γ=23.5N/mm3 of the Yokoo-yama Fault consists of granite, whereas the upstream side consists of sandstone and mudstone of the Miocene. ( Fig. 4, Photo 2 ) In the following Chapters, we show the results of numerical analyses and model tests to reproduce the above-mentioned three earthquake damage patterns and discuss the earthquake damage mechanism of tunnels. 3. THE DAMAGE MECHANISM OF TUNNEL ENTRANCES AND PORTALS We performed numerical analyses to reproduce earthquake damage patterns of tunnel entrances and portals. (1) Analysis model The dynamic behavior during an earthquake of tunnel entrances and portals, which often exist in the loose ground with low earth covering, is greatly influenced by the dynamic behavior of the ground because mountain tunnels have a smaller unit weight than that of the surrounding ground. Therefore, we used the seismic deformation method. Analyses were performed by frame analysis where a tunnel was modeled by beams and the ground by springs. Fig. 5 shows the analysis model of a standard single truck railway tunnel. Table 2 shows analysis conditions in the normal state. We supposed three earth pressure modes in the normal state shown in Table 3 because it was impossible to estimate the real earth pressure acting on the tunnel lining. Table 3 Earth pressure modes in the normal state Model B Horizontal Assumption for pressure pressure load setting None None Assuming that ground is stable. K0=0.5 Assuming that φ is about 30゜. K0=0.2 ( As a load between A and B ) Loosen Model B Model C Hight of loosen bedrock H=3.87m Hight of loosen bedrock H=3.87m K0=0.5 K0=0.2 σt=-0.9N/mm2 σt≒0N/mm2 σt=-0.4N/mm2 σt=-2.8N/mm2 σt=-4.7N/mm2 σt=-3.6N/mm2 ( Dead load only ) Model A Vertical Model A bedrock C None k=51.4N/m3 (k=1/2×2×E-3/4) Seismic intensity 0.2 Velocity of shear elastic wave 109.5m/s Natural period of subsurface layers 0.41s Ground level displacement 1.23cm During earthquake Modulus of subgrade spring Ground level Load of loosen bedrock At rest Table 4 Analysis conditions ( during earthquake ) 5m Lateral pressure Lateral pressure Load caused by displacement of ground Fig.7 Bending moment diagram and the maximum tensile stresses δv δ δ δh δh 5.9m Foundation bed Fig.6 Analysis model ( during an earthquake ) Table 4 shows analysis conditions during an earthquake. In this analysis, we assumed a horizontal seismic intensity of about 0.2 to study mainly an qualitative damage mechanism of tunnel entrance and portal. We calculated the ground level displacement from that intensity and converted it into nodal forces to use for the analysis model. ( Fig. 6 ) (2) Result of the analyses Fig. 7 shows the bending moment diagrams and the maximum tensile stresses in the normal state and during an earthquake. In the normal state, the deformation modes were different from each other but the maximum tensile stresses at the lining were small and no cracks occurred on the lining. On the other hand, during an earthquake, all the bending moment diagrams roughly looked alike regardless of the mode of earth pressure. The maximum tensile stresses of the tunnel lining occurred almost at the same location on the shoulder of the arch, and the maximum tensile stresses exceeded the tensile strength. ( When the compressive strength is 18N/mm2, the tensile strength is 1.6N/mm2. ) This result roughly agreed with the actual locations of cracks caused by an earthquake at tunnel entrances and portals, and proved that cracks could occur on the shoulder of the arch at tunnel entrances and portals at an earthquake of the horizontal seismic intensity of about 0.2. d δv d Strain:γave=δ/d Strain:γave=δv/d=δh/d a) When an angle of incidence of shear wave is vertical b) When an angle of incidence of shear wave is 45゜ against the vertical line. Fig.8 Analysis models Table 5 Analysis conditions Young’s modulus of ground 500N/mm2 Poisson’s ratio of ground ν=0.3 Young’s modulus of concrete Ec=26kN/mm2 Compressive strength of concrete f’ck=18N/mm2 Tensile strength of concrete ftd=1.9N/mm2 Poisson’s ratio of concrete ν=0.167 4. DAMAGE MECHANISM OF TUNNELS AT A FRACTURED ZONE We performed numerical analyses to reproduce damage patterns of tunnels at a fractured zone at an earthquake. (1) The analysis model At the Rokko tunnel, cracks which were slanted to the lining occurred at the earthquake. Therefore, we used a FEM code which was able to simulate generation and growth of cracks. Fig. 8 shows the analysis model. Table 5 shows analysis conditions. We mainly focused on grasping the crack mechanism of the lining qualitatively and simplified the modes of shear deformation of the ground during an Width of crack ( mm ) Width of crack ( mm ) Large Cracks occured 0.015 Average shear strain =1800µ Small Enforced displacement a) When the angle of incidence of shear wave is vertical. Width of crack ( mm ) Average shear strain =1800µ Large 0.028 Cracks occured Small Enforced displacement Width of crack ( mm ) Average shear strain =1800µ Large 0.028 Cracks occured Small Cracks occured Initial earth pressure 0.028 Average shear strain =1800µ Large Small Fig.10 Distribution of width of crack b) When the angle of incidence of shear wave is 45゜ against the vertical line. Cracks occurred at the arch crown and the center of the invert when the ground is vertically compressed. On the other hand, cracks occurred at the springline of both sides when the ground is horizontally compressed. We performed parameter studies by changing intensity of shear deformation, we found that the intensity affected only the width and depth of cracks but did not the location of cracks. From these results, we found that tunnels tend to have cracks and compressive failures at the crown of the arch and the springline at a fractured zone by a large bending moment caused by earthquake. However, the direction of crack was only vertical to the lining and we were not able to reproduce cracks slanted to the lining like those observed at the Rokko and Myoken Tunnel. Enforced displacement b) When the angle of incidence of shear wave is 45゜ against the vertical line. Fig.9 Distribution of width of crack earthquake into the following two cases; a) when the angle of incidence of shear wave is vertical, and b) when the angle of incidence of shear wave is 45゜ against the vertical line. (2) Effect of shear wave Fig. 9 shows the distribution of crack width when the average shear strain of the ground caused by shear wave is 1.8*10-3. The crack width is calculated by the following equation on the assumption that one crack occurs on one element. Width of crack = Plastic strain of the element × equivalent length of the element a) When the angle of incidence of shear wave is vertical. As the shear strain of the ground reached 6.3*10-4, cracks occurred at the joint between the invert and side wall and at the shoulder of the arch at the same time. As the shear strain became large, the width of crack became wider the crack penetrated the lining when the shear strain reached 1.8*10-3. (3) Effect of initial load acting on the lining If the strength of the ground around the tunnel is low as in a fractured zone, an initial load like the squeezing earth pressure may sometimes act on the lining. We analyzed other cases with some initial load enforced on the lining. The direction of the earth pressure was assumed to be horizontal. An equally distributed load ( 80kN/m2 ) was applied at the boundary first and then a shear strain corresponding to the deformation caused by earthquake was added. Fig. 10 shows the distribution of width of crack when the average shear strain of the ground caused by a shear wave is 1.8*10-3, where the angle of incidence of shear wave is 45゜against the vertical line. As the shear strain became larger, a relatively wide crack occurred inside the springline. We performed parameter studies by changing the intensity of initial earth pressure, and found that the intensity affected only the width and depth of cracks but not the location of cracks. From these results, we found that when mountain tunnel suffered damage from the shear deformation caused by an earthquake, cracks slanted to the lining like those observed at the Rokko Tunnel occur depending on the mode of initial earth pressure acting on the lining. Enforced Displacemen Inside Photo 3 Tunnel lining test unit Enforced displacement Legend: Alluvium assumed ( To be slided ) Outside Crack Crack with a gap Loaded area Fig.12 Crack chart ( model test ) Dilluvium assumed ( Immovable ) Sliding direction Upstream ( Prototype ) Soft rubber supported ( Alluvium assumed ) Hard rubber supported ( Dilluvium assumed ) Enforced displacement ( Model ) Strut ( Steel plate ) Fig.11 Modeling of sliding of fault Table 6 Property of model Lining Spring Material Mortal Compressive strength f’ck=18N/mm2 Young’s modulus Ec=26kN/mm2 Thickness t=2cm Width w=60cm Material Cylindrical rubber Modulus of K1=1,900 (N/mm) ( hard type ) subgrade spring Modulus of K2=80 (N/mm) ( soft type ) subgrade spring 5. DAMAGE MECHANISM OF TUNNELS BY SLIDING OF A FAULT We performed model tests to reproduce damage patterns of tunnels by sliding of a fault. (1) Testing model We used a 1/30 scale tunnel lining test unit that models the Shinkansen standard tunnel ( Photo 3 ). The test unit consists of loading bolts, cylindrical rubbers and a reaction frame. After a lining made of mortar was set in the test unit, step loading was carried out with displacement controlled. At all points except the loading point, the cylindrical Inside Downstream Fig.13 Crack chart ( Shioyadanigawa River Diversion Tunnel ) springs made of hard rubber simulating the ground were set to induce subgrade reaction proportional to deformation. Fig 11 shows the modeling of sliding of fault, and Table 6 the properties of the model. To simulate faults, we changed the type of rubber at the center of the model. The rubber on one side was hard ( supposing Diluvium ) and that on the other side was soft ( supposing alluvium ). The tunnel section was closed by a strut made of steel. Load were applied by enforcing displacements on the side wall of Alluvium side to simulate rightward slipping of a fault. (2) Result of the test Fig. 12 shows the crack chart of the lining obtained from the model test. Cracks followed the processes of, 1) occurrence near the fault from the left side wall to the arch, 2) extension to the tunnel axis, 3) rightward slipping of shear cracks and 4) occurrence of a number of parallel cracks to final tunnel fracture. Fig. 13 shows the crack chart of the Shioyadanigawa River Diversion Tunnel at the part of crossing the Yokoo-yama Fault. Cracks followed the processes of , 5) rightward-slipping of shear cracks occurred along the Yokoo-yama Fault, and 6) occurrence of a large number of diagonal cracks crossing the Yokoo-yama Fault. We found that the mode of cracks of the model test was similar to that observed at the Shioyadanigawa River Diversion Tunnel. 6. CONCLUSION We conclude that we can classify damage patterns of mountain tunnels by earthquake into the following three patterns; 1) Damage to tunnel entrances and portals 2) Damage to tunnels at a fractured zone 3) Damage to tunnels by sliding of a fault. We have proved these mechanisms based on the results of simulation analyses and model tests. REFERENCES 1) Asakura, T., Shiba, Y., Sato, Y. and Iwatate, T.: Mountain Tunnels Performance in the 1995 Hyogoken-Nanbu Earthquake, Special Report of the 1995 Hyogoken-Nanbu Earthquake, Committee of Earthquake Eng. JSCE, Jun. 1996. 2) Japan Society of Civil Engineers Tunnel Engineering Committee Niigataken Chuetsu Earthquake Special Subcommittee: Report by Japan Society of Civil Engineers Tunnel Engineering Committee Niigataken Chuetsu Earthquake Special Subcommittee, June 2005.
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