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A Scale Model Test on Dynamic Soil-tunnel Interactions
Nina Liu1, Yang Liu2, Dongdong Han3, Yuming Men4, Jianbing
Peng5
1PhD candidate, instructor Department of Geological Engineering,
Changan University, 126 Yangta Road, Xian China, 710054,
[email protected] 2Master degree student, Department of Geological
Engineering, Changan University, 126 Yangta Road, Xian China,
710054, [email protected] 3Master degree students, Department
of Geological Engineering, Changan University, 126 Yangta Road,
Xian China, 710054, [email protected] 4Director, Department of
Geological Engineering, Changan University, 126 Yangta Road, Xian
China, 710054, [email protected] 5Director, Department of
Geological Engineering, Changan University, 126 Yangta Road, Xian
China, 710054, [email protected] ABSTRACT: Soil-structure
interactions are important for the safety of the underground
structures under earthquake loads. In this paper, model tests were
conducted on 1/60 scaled model of the prototype Xian metro tunnel.
The seismic response data including the acceleration, the
displacement and the dynamic soil pressure between the tunnel and
soil were measured by testing the scaled model on a shaking table.
From the test result, it is concluded that 1) the effects of tunnel
and soil interactions are important for the bulk dynamic responses;
2) the soil pressure and the acceleration changed with the seismic
inputs. The soil pressure at the top of the tunnel increased while
the pressure at the bottom decreased; 3) the acceleration of the
tunnel is greater than the adjacent soils. INTRODUCTION
To utilize the underground space in cities, more and more
research has been focused on the soil and underground structure
interactions (Zhao, 1994). The field survey conducted in Xian for
the past 40 years revealed 14 ground fissures crossing the current
metro tunnel site (Shi et al, 2009). Xian is known for its loess
deposit and has a history of strong earthquakes. Therefore,
designing the infrastructure to overcome the challenging from the
ground fissures, earthquake activities and loess deposit is
important for the safety of the Metro system (Huang et al.,
2009).
Scale model experiments were conducted to study the soil-tunnel
interactions. The model was 1/60 of the prototype. Soils used in
the model test were taken from the construction site. Ground
motions from the El Centro earthquake, the Wenchuan earthquake,
synthetic Xian earthquakes and a sinusoidal wave were individually
input to the shaking table during the experiments.
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EXPERIMENT SETUP
The size of the model box was 1.5m1.0m0.6m, which was constraint
by the capacity of the shaking table. The photo of the box is shown
in Fig. 1(a). In order to reduce the rigid boundary effect by the
box, plastic materials, pieces of woods and nails were attached to
the inside of the container. This is shown in Fig. 1(b), indicating
different materials in parallel to each other. The seismic
excitation by the shaking table was in the direction of walls B and
D. Therefore, plastic, pieces of wood and nails were installed on
Walls B and D to reduce the friction between the soil and box.
There were pieces of woods and nails on Walls A and C to make sure
the soil and the box are moving together. (Hashashm et al., 1998;
Hou, 2005)
(a) (b) FIG. 1 (a) the model box (b) the materials inside of the
box
Following the Bingham principle, the model tunnel was as close
as possible to the prototype tunnel; the soil used in the model box
was the same as that at the site; and most importantly, the space
relationship between soil and tunnel in the model was similar to
the actual conditions. The size and weight of the model were
designed to the capacity of the shaking table. The size of the
model tunnel was 1/60 of the actual tunnel. The material used for
the model tunnel was Plexiglass, with an elastic modules , density
, and poison ratio 0.35. Fig. 2 shows the model tunnel (a) and the
compensator ring (d). (Li et al., 2009)
(a) (b) (c) (d)
FIG. 2 (a) the model tunnel (b) the sensor of the strain (c) the
location of the strain sensors on the tunnel (d) compensators
The FIG. 3 show the dynamic sensors used in the experiments to
measure the
acceleration and the soil pressure.
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(a) (b) (c)
FIG. 3 (a, b) the soil pressure sensor (c) the acceleration
sensor
INSTRUMENTATION
The shaking table was fabricated by the MTS Systems Corporation,
Minneapolis, Minnesota USA. The size of the shaking table is
1.5m1.0m.
The dynamic measuring system for acceleration, soil pressure and
displacement is IMC Mess-System GmbH. Three instruments were used
to measure the strain: SDY2400, DH5923 and YE6262B Dynamic
Measuring System. Figure 4 below shows the pictures of the dynamic
measuring system.
(a) (b) (c) (d)
FIG. 4 the Dynamic Measuring System(a) SDY2400 (b) DH5923 (c)
YE6262B (d) IMC Mess-System GmbH TEST PROCEDURES
According to the field survey in Xian, the ground fissures run
almost perpendicular to the metro tunnel. So in the model box (see
Fig. 5 (a)), the tunnel was aligned perpendicular to the fissures
and the direction of the shaking table. As shown in Fig. 5 (b), the
ground fissure was made of silver sand. Each layer of soil to the
south of the ground fissure was compacted just one time whereas
each layer to the north was compacted 3 times to match the ground
fissure caused by un-uniform settlement displacement in the actual
site.
(a) (b) (c)
FIG. 5 (a) the location of fissure (b) the fissure filled with
silver sand (c) the model box THE LOADING PROCESSES
In the test the earthquake ground input to the shaking table
included the synthetic
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Xian earthquakes, El Centro earthquake and Wenchuan earthquake.
The synthetic Xian earthquakes are for the geological characters of
Xian. The El Centro earthquake wave was recorded from the Empire
Valley, US in 1940 and was used widely in earthquake research. The
record was revised to match with the geological characters of the
Xian metro site. The 2008 Wenchuan earthquake was a major seismic
disaster and affected most parts of China. The seismic record of
Wenchuan earthquake was used to determine the model responses from
the long period earthquake activity. The characteristics of 18
different seismic loading were listed in Table 1.
Table1. The loading process
No. The dynamic wave The peak acceleration of the shaking
table(m/s2) 1 synthetic Xian earthquake 0.28 2 El Centro earthquake
wave 0.3 3 Sine wave 1.0 4 synthetic Xian earthquake 0.5 5 El
Centro earthquake wave 0.58 6 Sine wave 0.7 7 synthetic Xian
earthquakes 0.9 8 El Centro earthquake wave 0.8 9 synthetic Xian
earthquake 1.0 10 Sine wave 1.5 11 El Centro earthquake wave 2.0 12
synthetic Xian earthquake 2.0 13 Sine wave 2.0 14 El Centro
earthquake wave 2.4 15 synthetic Xian earthquake 2.5 16 Sine Wave
2.6 17 synthetic Xian earthquake 3.0 18 Wenchuan earthquake wave
3.0
The observations during the loading period are described as
follows: after 200 hours
the soil in the south part of the box was lower than the soil in
the north part. As Fig. 6 (a) shows, along the ground fissure,
there was a settlement caused by the movement of the south and
north part of the soil.
After the 12th loading process, the settlement of the south part
was measured 1.0 mm, and along the surface of the fault, some
granules of soil could be observed; After the 13th loading process,
the settlement of the south part became 1.5mm, and from the fault
there were other fissures going out perpendicular to the south part
(Fig. 6 (c)); After the 14th loading process, the settlement of the
south part became 2.0mm; After the18th loading process, the soil in
the south of the box cracked into several pieces (Fig. 6 (d)).
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(a) (b) (c) (d)
FIG6 (a) the fault of the fissure (b) the damage after 12th
loading process (c) the damage after 13th loading process (d) the
damage after 18th loading process
There were four soil pressure sensors placed in the model box,
i.e., SP001, SP003,
SP004 and SP005 attached outside of the tunnel. There were five
acceleration sensors in the model box, two inside the tunnel and
three in the soil as shown in FIG. 7. The locations of the soil
pressures and acceleration sensors were determined from the finite
element simulation of the model box to obtain the complete dynamic
response at different points of the tunnel and soil (Shi et al
2009; Liu et al 2009).
(a) (b)
FIG. 7 (a) the profile of the model box (b) the location of the
soil pressure and acceleration sensors
The 9th loading stage is the synthetic Xian earthquake wave and
the peak acceleration of the shaking table is 1.0m/s2. The data of
the 9th loading process had good quality. Therefore most analyses
in this paper were based on data from this loading process.
The FIG. 8 shows the soil pressure taken during the 9th loading
process. From the soil pressure time history of SP001, SP003, SP004
and SP005, the four points have the similar acceleration time
history and the accelerations outside the tunnel were different
from each other. The measurement indicated that the maximum soil
pressure was located
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at SP001, reaching a value of -81.8Mpa, the negative sign stands
for compression. At each location the soil pressure fluctuated from
time to time. The soil pressure at SP003 located at the top of
tunnel became a little greater after the earthquake wave,
increasing from -77Mpa to -76.5Mpa, whereas the soil pressure of
SP004 decreased from -78.4Mpa to -78.6Mpa. The increase of soil
pressure at SP005 was insignificant.
(a) (b)
(c) (d)
FIG8 (a) the soil pressure of SP001 (b) the soil pressure of
SP003 (c) the soil pressure of SP004 (d) the soil pressure of
SP005
FIG. 9 below shows the acceleration data taken from the 9th
loading process.
(a) (b)
(c) (d)
FIG. 9 (a) acceleration of A001 (b) acceleration of A002 (c)
acceleration of A006 (d) acceleration of A007
The acceleration sensors A001 and A006 were on the same side of
the box, where A001 being inside the tunnel and A006 in the soil.
The acceleration time history of A001 was similar to that of A006,
but the magnitude of peak accelerations of A006 was smaller than
those of A001. It showed that the accelerations of the tunnel were
bigger than the accelerations of soil around the tunnel. The
acceleration sensor A002 was on the shaking table, the time history
of A002 showed the motion of the shaking table. Comparing A002 with
the time history of synthetic Xian earthquake wave indicated that
the ground motion followed the synthetic Xian earthquake wave. This
validated that the shaking table inputted the earthquake excitation
correctly. A006 and A007 were on the opposite sides of the tunnel
with equal distance to the tunnel, from the data of FIG.9 (c) and
(d), the accelerations of A006 and A007 are similar to each
other.
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CONCLUSIONS
The results of the experiments indicated: 1. The model in the
test matches with the reality of the site. The materials and
the
conditions in the model closely represent the prototype metro
tunnel. The test would indicate that the interaction between the
soil and underground structure was as expected.
2. The soil pressure on the tunnel and in the soil changed with
time. The time intervals of pressure change were similar to that of
the earthquake loading. The soil pressure at the top of the tunnel
increased while the pressure at the bottom decreased.
3. The acceleration of the tunnel is greater than the adjacent
soils.
ACKNOWLEDGMENTS
Thanks to the National Natural Science Foundation (40772183,
40534021) and the Shaanxi Natural Science Foundation (2005D04),
China Geology Survey (1212010641403) and Youth Foundation of
Changan University (0305-1001). REFERENCES Zhao, Y. (1994). Random
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