INTRODUCTION
One of the major practical difficulties often associated with tunnel construction
is related to groundwater. In fact, some of the most disastrous experiences
in tunneling have been the result of interception of large flows of water from
highly fractured watersaturated rocks (Freeze and Cherry,
1979). In addition, prediction of groundwater inflow is needed to design
suitable drainage systems.
Many researchers have paid attention to the problem of groundwater seepage
into tunnels, however, most of the researches are around the computation of
the quantity of groundwater inflow into tunnels such as Goodman
et al. (1965), Lohman (1972), Zhang
and Franklin (1993), Heuer (1995), Lei
et al. (1999), Karlsrud (2001), Raymer
(2001) and El Tani (2003).
One of the most Freezeimportant stages in preliminary investigation study of
tunnel site is related to groundwater condition and its effects on tunnel during
excavation and operation. There are various methods in site geomechanic rating
like RMR, but there has been no any method in site groundwater rating till now.
In this study, using the experiments due to ten tunnels in Iran, a new empirical
method has been developed for rating the tunnel sites in groundwater hazard
point of view, named Site Groundwater Rating (SGR). In this method, the tunnel
site is categorized into six rates according to the preliminary investigations
of engineering geological and hydrogeologic properties. For verification of
this method, the results of SGR have been compared with the observed groundwater
inflow in Ghomroud tunnel. Also, the method has been applied for rating the
Amirkabir tunnel site.
MATERIALS AND METHODS
In this research work, according to an exact study of the geological and hydrogeologic features of 10 different tunnels (with the total length of about 16 km), the groundwater flow into tunnels has been related to the above mentioned features.
Tunnels considered in this research have been excavated in soil and rock. Rocks consist of shale, slate, sandstone, conglomerate, marl, granite, limestone and dolomite. From engineering geological point of view, different phenomena such as discontinuity, crashed zone, schistosity and karstification, are appeared in the above rocks. Also, hydrogeologic conditions in the tunnel paths have been studied and monitored exactly.
Compiling above data and comparing them with each other and finding proportional relation among them, tunnel sites have been rated into six different classes. According to the observations and experiments, the weighted factor of each geological and hydrogeologic feature on groundwater inflow has been considered in the proposed rating method. Using this method and relevant formula, SGR factor of tunnel site can be calculated. Finally, this factor guides the tunnel designers to the probable qualitative and quantitative idea about tunnel site from groundwater hazard point of view.
GOVERNING EQUATION ON GROUNDWATER FLOW
In its most basic form and for the case of laminar flow, Darcy’s law
links the water flow rate to the pressure gradient.
Where:
Q 
= 
The flow rate (m^{3} sec^{1}) 
K 
= 
The hydraulic conductivity (m sec^{1}) 
A 
= 
The crosssectional rock area (m^{2}) 
i 
= 
The dimensionless hydraulic gradient 
Flow of fluid along a single fracture depends on its hydraulic aperture, hydraulic
gradient and its width. Following expression is for the flow rate, Q, along
a single fracture:
where, Q is the flow rate along a single fracture (m^{3} sec^{1}) of hydraulic aperture e_{h }(m), width b (m) and length l (m) under a total head loss ΔH (m) and in this equation v is the kinematic viscosity of the fluid (m^{2} sec^{1}) and g is the earth gravity (m sec^{2}).
According to the Eq. 1 and 2 with increase
in the cross section of groundwater inflow tunnel, the flow rate increases.
In soil there is no very complexity, but in rock tunnels water flow is mostly
related to the number of joints that tunnel crosses them and also the joint
aperture. So, it is very important to identify the joint frequency and its aperture.
SITE GROUNDWATER RATING (SGR)
There are various parameters affecting the tunnel groundwater inflow, but in this research, the most important factors are considered as follow:
Joint frequency, joint aperture, karstification, crashed zone, schistosity, head of water above the tunnel, soil permeability and annual raining.
In SGR method, after scoring each parameter, the SGR factor of the site is computed and according to this factor the tunnel site is divided into six categories.
One of the advantages of this method is helping the engineers and contractors
to design more suitable drainage systems and choosing the suitable drilling
methods, according to the potential of the groundwater inflow, calculated in
SGR.
In general, tunnel site are divided into two parts: tunnels in saturated zones and tunnels in unsaturated zones. Also with respect to the site lithology, tunnel sites are divided into rock sites and soil sites.
The equation to compute the SGR factor is:
where, parameters S_{1} to S_{7} respecting to the affecting parameters in groundwater inflow, will be described as below.
Score of frequency and aperture of joints, S_{1}: Massive rocks
in tunnels alignment include one or more joint sets and tunnels cut them. Amount
of water inflow into tunnels depends on joint frequency and joint aperture,
so the representative parameter, S_{1}, is calculated using Eq.
4:
where, λ_{i}, the joint frequency (1/m), e_{i}, the mean hydraulic joint aperture (m) g, the earth gravity (m sec^{2}), v, the kinematic viscosity of water (m^{2} sec^{1}), a, the unit factor (sec m^{1}) converting S_{1} to dimensionless form.
The constant coefficient in Eq. 4, 25, is obtained according
to the experiments to normalize the parameter S_{1}.
The joint hydraulic aperture, e_{h}, in Eq. 4, is
different from the joint aperture estimated in surface. Chen
and Zhao (1998) suggested the following equation to calculate joint hydraulic
aperture in depth:
where, E is average joint hydraulic aperture in surface (mm) and ΔV_{j}
is calculated using the following equation:
where, Chen and Zhao (1998) suggested σ_{n}
= 0.027 Z, according to his experiments, in which Z is overburden thickness.
Moreover, analysis by Bandis et al. (1983) of
experimental data indicated that the following relation was appropriate
in which constants A, B, C and D, according to the Priest
(1993) experimental researches are: A = 0.2960, B = 0.0056, C = 2.241
and D = 0.2450
JRC is joint roughness coefficient, JCS is joint wall strength and K_{ni}
is computed using Eq. 8.
Finally S_{1} is calculated in dimensionless form. If the joint is filled with some materials such as clay, calcite, etc., then e_{i} will be equal to zero. However, the caution must be taken for the joints filled with washable materials such as some clay types. Joints with washable materials can be identified in the supplementary site investigation during Lugeon tests.
Schistosity, S_{2}: Commonly, claybase rocks are supposed to schistosity during tectonic processes, so that water can flow through schist planes. However, the relevant permeability is very less compared to the other discontinuities. In spite of low permeability, in SGR, the parameter S_{2}, representative of schistosity, is supposed in the range of 1 to 5, depending on the degree of schistosity.
Crashed zone, S_{3}: Crashed zones are the major path of groundwater flow through rock. Crashed zones considerably increase rock permeability; however this increase depends on the rock type. In claybase rocks such as marl, shale, schist etc, clay minerals fill fractures and discontinuities resulting in considerable decrease in the permeability of crashed zone, but in the other rock types such as limestone, the permeability in crashed zone is very high. Moreover, the groundwater flow rate through crashed zones is related to the rock type and the crashed zone width. Considering rock type and crashed zone width, Table 1 shows the equations to calculate S_{3} in different rocks type in SGR.
Crashed zones in both saturated and unsaturated zones are suitable paths for groundwater flow, thus, crashed zones are of most important in SGR.
Karstification, S_{4}: Karstification is the geologic process
of chemical and mechanical erosion by water on soluble bodies of rock, such
as limestone, dolomite, gypsum, or salt, at or near the earth’s surface.
Karstification is exhibited best on thick, fractured and pure limestone in a
humid environment in which the subsurface and surface are being modified simultaneously.
The resulting karst morphology is usually characterized by some types of cavities
and a complex subsurface drainage system. So these cavities can conduct groundwater
into tunnels.
Table 1: 
Method to estimate S_{3 }in crashed zones 

b is the unit factor (1/m), Czw is the crash zone width 
Groundwater inflow into tunnels can be very sudden and so dangerous. According
to the degree of karstification, S_{4} is estimated between 10 to 100.
Soil permeability, S_{5}: Parameters S_{1} to S_{4} are related to rock tunnels but if tunnel is excavated in soil, parameters S_{1} to S_{4} are automatically equal to zero. In SGR soil permeability is very important factor which is scored in S_{5}. The permeability of a clay layer can be as low as 10^{10} m sec^{1}, of a weakly permeable layer 10^{6} m sec^{1} and of a highly permeable layer 10^{2} m sec^{1}.
Because of the direct relation between soil permeability and rate of groundwater
inflow, in SGR, the score of soil permeability, S_{5} is calculated
as follow:
where, k is the soil permeability (m day^{1}), c is the unit factor (day m^{1}) converting S_{5} to dimensionless form.
Water head above tunnel, S_{6}: Head of water (H) above tunnel
is one of the most effective parameters on groundwater inflow into tunnels.
The inflow equations such as MuskatGoodman, RatSchleissLei, Karlsrud and
Lombardi indicate that groundwater inflow into tunnel has linear relation with
H/Ln (H) so the representative parameter S_{6}, is calculated using
Eq. 10:
where, H is water head above tunnel and d is the unit factor (1/m) converting S_{6} to dimensionless form. When tunnel is excavated above water table S_{6} is equal to unit.
Annual raining, S_{7}: Just when tunnel is excavated in unsaturated zones, annual raining is effective on groundwater inflow into tunnels. In such case infiltrated water rain can seep into tunnel through fractures and faults. However, in such case groundwater inflow is not permanent like tunneling in saturated zones. Related to the tunnel depth, overburden permeability and length of water channel from discharging area up to tunnel, the time of reaching surface water to tunnel is different. In unsaturated zones quantity and intensity of raining affect
the groundwater inflow into tunnels, but here only annual raining is considered.
S_{7} for unsaturated tunnels is calculated using Eq.
11:
where, P_{y }is annual raining (mm).
Maximum value of S_{7 }is when annual raining is equal to 5000 mm or more. When tunneling in saturated zone, S_{7} = 1
Site Groundwater Rating (SGR): After calculating all the parameters,
S_{1}  S_{7}, SGR factor of the site is computed by means of
Eq. 3, then according to the value of SGR and using Table
2, the tunnel site category can be found in six cases as: no danger, low
danger, relatively dangerous, dangerous, highly dangerous and critical.
Experiments due to 10 tunnel show that there are direct correlation between SGR factor and groundwater inflow rate into tunnels. In case of high SGR factor (more than 700), mixture of mud and groundwater is probable to rush into tunnel, endangering persons and equipments.
In the other hand, with attention to SGR factor, groundwater inflow into tunnel
can be predicted which help to plan suitable drainage systems and even to choose
the best drilling method.
Table 2: 
SGR rating for groundwater inflow into tunnels 

VERIFICATION OF SGR USING OBSERVED GROUNDWATER DATA OF GHOMROUD TUNNEL
SGR method has been calibrated with the actual data obtained from Ghomroud tunnel. The 36 km Ghomroud tunnel is under drilling in order to convey water from Dez river basin to Ghomroud basin. Already about 6 km of tunnel has been drilled and the data of groundwater inflow due to this part has been recorded exactly.
The area under tunneling is located in SannandajSirjan zone of the geological divisions of Iran. This formation consists of series of asymmetric folding and faults and is gone through mild to high metamorphisms. The lithology of this area consists of a sequence of jurassiccretaceous formation. The cretaceous formation consists of massive limestone and dolomite while the jurassic formation mainly consists of slate, schist and metamorphic shale and sandstone units. The majority of the rock mass is considered to be of weak to fair quality.
Only about 6 km of tunnel has been excavated and SGR factor is calculated for about 5 km of tunnel. Comparison of calculated SGR factor (based on surface and preliminary investigation) and observed data of groundwater inflow into Ghomroud tunnel has shown the direct relation between them and accuracy of SGR method. Geological features of Ghomroud tunnel are shown in Table 3.
Table 4 contains different geological zones of Ghomroud tunnel and calculated SGR factor for them and consequent rating.
As the Table 4 shows, according to SGR factor, crashed zones
in limestone are the major problems in Ghomroud tunnel that can conduct large
amount of groundwater into the tunnel.
Table 3: 
Geological features of Ghomroud tunnel 

Table 4: 
SGR calculated for Ghomroud tunnel 


Fig. 1: 
Relation between SGR and observed groundwater inflow into Ghomroud
tunnel 
In Fig. 1, the SGR
results have been compared with the actual observation of groundwater inflow
for each geological zone of the tunnel. As the figure shows, direct relation
between SGR factors and observed inflow can be seen which indicate the accuracy
of SGR in rating the tunnel site in groundwater inflow point of view.
Based on the Fig. 1, most of the inflow takes place through
a small portion of the tunnel length conforming on the crashed zones and the
remaining of the inflow takes place through a large portion of tunnel. As Table
4 shows, most of the crashed zones in limestone, are rated in the category
of highly dangerouscritical in SGR. Such a rating is in very close accordance
with the observed groundwater inflow. Observations showed that total volume
of water inflow into tunnel from limestone (a long 1000 m of the tunnel length)
is about 25 L sec^{1} (1500 L min^{1}) that is relatively
high and in the other parts of tunnel that consist of schistslate sequences
layer (Anvari and Katibeh, 2006) water inflow is very
less as SGR factor either showed that.
AMIRKABIR TUNNEL SITE RATING USING SGR
The 30 km water conveying tunnel, named Amirkabir is supposed to be drilled in Alborz mountain range in Iran. In this study, SGR has been applied for rating 6 km of this tunnel according to preliminary and surface investigations. The area under study is located in Karaj formation consisting of complex sedimentary and volcanic rocks such as monzodiorite, gabro, tuff, sandstone and conglomerate limestone. In the geological point of view, the tunnel crosses three geologic units as GTA1, (monzodiorite, gabro), GTA2, (sandstone, tuff) and GTA3, (massive conglomerate, green tuff, massive limestone). Table 5 shows geological features of Amirkabir tunnel for its first 6 km.
With attention to parameters such as joint aperture, tunnel depth, water head
and crashed zones in Amirkabir tunnel path, Table 6 shows
the calculated SGR for different geological zones.
Table 5: 
Discontinuity of Amirkabir tunnel (first 6 km) 

Table 6: 
Calculated SGR for Amirkabir tunnel 

S_{2}, S_{4} and S_{5} are equal to
zero for all 6 km 
In the first 6 km of Amirkabir tunnel, base on the results obtained from SGR,
the major problem is appeared in to crashed zones (area about main faults) which
are categorized in highly dangerous and critical zones. So in these zones caution
must be taken in drainage systems planning, drilling method and supports.
CONCLUSION
Considering the experiments of tunnel inflow due to 10 different tunnels in Iran a new method has been developed for rating tunnel site to evaluate the potential of groundwater inflow according to the preliminary investigation data. This method is called Site Groundwater Rating (SGR). Using the method, tunnel site can be categorized into six rates. Studies showed that there is good accordance between SGR factor and groundwater inflow rate into tunnels. The method has been examined in Ghomroud tunnel and applied for Amirkabir tunnel. Applying SGR method according to preliminary investigations conducts designers to more suitable design of drainage system, drilling method and roof supports.
ACKNOWLEDGMENTS
Hereby, the authors express their thanks to the Transportation Research Institute of the Ministry of Road and Transportation of Iran for its generous helps throughout this research.