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EXPERIMENTAL AND MATHEMATICAL MODELLING OF PROGNOSES OF GEOHYDRAULIC CHANGES CAUSED BY COAL EXCAVATION
JIRINA
TRCKOVÁ
Institute of Rock Structure and mechanics AS CR
V Holesovickach 41, 182 09 PRAHA 8, Czech Republic
Phone: +4202/3121748 Fax: +4202/6880649
E-mail:trckova@irsm.cas.cz
ABSTRACT
Open-pit brown-coal excavation is carried out in a
coal basin with a large confined
aquifer of thermal gas-bearing water. The methods of physical and
mathematical modelling are utilized for
assessment of open-pit bottom stability
against its possible break-through owing to overpressure of this water and for
prediction of geohydraulic changes in
consequence of excavation. The results
of model solutions are compared with the levelling measurements. Physical models
proved the ability to predict
deformation processes in the open-pit with sufficient accuracy. The results of interactive mathematical modelling brought new findings on stress state and
deformation changes and on the
possibility of rise of hydraulic failure
of the open-pit bottom. The model solution have become a valuable source of information which are
used in the designs of preventive
measures designed to ensure
geotechnical security of the open-pit excavation of the coal seam and the protection of thermal
gas-bearing waters.
Keywords:Thermal
water, confined level, open-pit
excavation, physical and mathematical models.
INTRODUCTION
The Sokolov brown-coal basin is situated in the
vicinity of the Karlovy Vary spa
resort. In the recent years a
significant development of open-pit excavation has been achieved especially in the central part of
the basin. Considerable transfer of excavated
masses affects changes into the geological structure of the territory and influences the regime of
both surface and underground water. In
the basin exists a large confined aquifer of
artesian thermal gas-bearing water. Even though the hydrogeological continuity between Karlovy
Vary thermal-spring structure and the
thermal water of the Sokolov brown-coal
basin has not been proved yet but not excluded
either, it is impossible to neglect the possible danger for Karlovy Vary springs in consequence of
mining activities. The illustrative
vertical section through the basin is in Fig. 1.

Fig.1 Vertical section of the coal
basin.
To ensure the
geotechnical security of the open-pit
excavation in the coal seam and
the protection of thermal water
wide research activities have been
carried out in the open-pit mines. Most of these activities are directed towards the ensurance of
open-pit bottoms against their possible
failure owing to the overpressure of
gas-bearing water of the basal aquifer. This failure would not only make the excavation impossible, but
would also cause a considerable
disturbance of hydrological conditions in the
basin and in its surrounding.
On the open-pit bottoms and in drainage adits
periodical levelling measurements have
been carried out for more than 20
years. These measurements have provided information about the behaviour of stress removed underlying rock of the excavated coal seam during the mining process and about
deformations caused by the overpressure
of thermal gas-bearing water of the basal aquifer.
Observation wells have been set up in the open-pit
mines and in their surrounding. In
these wells the pressure changes of
artesian water level (Pazdera 1989 - 1995) have been regularly observed. The drainage wells have been used
for the local decrease of the confined
level of this water under the open-pit
mine bottom. Geotechnical measurements have been carried out in the open-pit mine, too.
For many years the modelling methods, the method of
3-D physical model and mathematical
modelling, have been utilized for
prediction of deformation of the open-pit mine bottom caused by the uncovered overpressure of thermal
water and for assessment of artesian
confining layer stability. For prognostic abilities of both methods we
focused on the period of 1985 - 1995, when both ways of modelling were simultaneously utilized and
their results were reciprocally compared.
PROGNOSES ACHIEVED FROM PHYSICAL MODEL EXPERIMENTS
In 1985 a 3-D
physical model of open-pit mine Jirí
was constructed (Fig.2.). In this model
real excavation procedures which were carried out in 1980-1985 and planned for
1985-1990 were modelled (Skorepová 1985). In the points of the
modelled equivalent of the drainage
adit the deformations of the coal seam
underlying bed were gradually measured after every change of situation in the model. The whole experiment
was carried out at the height of the
free water surface in the model,
corresponding with the confined level in the open-pit mine. The maximum
vertical displacement of the underlying rock was recorded in the model
in measuring points situated into the
place where in 1989-1990 the open-pit bottom was situated. In these places the bottom of the open-pit mine
started to be stressed by the uncovered
overpressure of artesian waters, which reached 0,3 MPa. For situations corresponding with the excavation state in
1980-1984 the deformations derived in
the model were compared with the
levelling measurement carried out in the drainage adit situated in front of the mine field. Despite
different accuracy of both methods
(mean error of levelling measurements
is in milimetres, mean error of the deformation determined in the model reaches as many as 5 cm), the values
of measured deformation for this
period showed very good agreement (Fig.3.).

Fig.2 Situation of mine bottoms, geological dislocations and measuring
points in the equivalent of drainage adit.

Fig. 3 Comparison of values of vertical deformations determined for
various stages of model experiment and measured by levelling (model 1985).
In 1987 the
prediction of the open-pit bottom deformation for the period of 1990-1995 were solved on physical model (Skorepová 1988). In these years the open-pit
bottom arrived to the most endangered places. The uncovered overpressure of artesian water in this place reached as many as 0,6 MPa. Significant
geological faults passed through the
mine field. In the beginning of the
experiment the free water surface in the model corresponded with the original unlowered confined level
of the open-pit water. In the model
there were large deformations owing to
a higher acting overpressure and also to the existence of geological faults. That is why before every
simulation of excavation activities on
the model the height of the water level
was lowered and then again gradually increased. The model did not sufficiently simulate the process which would go on in the open-pit in the case of lowering of the water confined level.
Nevertheless the results of the model
experiment have proved that a safe
excavation in this area cannot be realized without lowering the confined level. On the base of the deformation values measured on the model
it was recommended to bring down the
level of artesian water for the year
1990 to 350m above the sea level (i.e. 17m
lower in comparison with the initial level), in the year 1993 to 337m
above the sea level.
In 1991 the
mining organization presented its requirement
to construct a model for
lowered level of artesian water to 350m
above the sea level. The new model
experiment was designed (Skorepová 1991). The excavating
process in the years 1984-1990 with following excavation according to projected process was
simulated. The deformations determined
on the model for planned advances till the end of 1992 did not exceed the value which would endanger
the stability of the open-pit bottom.
In the next
model the excavation process for the years 1989-1995 (Skorepová 1992) was
simulated with respect to the lowered
confined level of the thermal water to 350m
above the sea level. After the simulated excavation on the projected state in the year 1995 significant
deformations appeared on the open-pit
bottom, especially in the surrounding
of modelled faults. The confined level was
further lowered to 340m, in fact to 330m above the sea level. Good agreement of deformations measured in the model and those determined
by periodical levelling
measurements was achieved again. By means of
this, the assumption of the real prognosis for 1992-1995 was verified.
On the basis of model test before
reaching the most critical places by the open-pit bottom (i.e. places with the lowest location of the
coal seam in the surrounding of faults) it was recommended to carry out further local lowering of the free water
level (under 330m above the sea level). Larger protective pillars to leave in the surrounding of the faults to
prevent not only large deformations,
but also the possibility of local
breakage and water outflows in consequence of the fault separation.
MATHEMATICAL MODELLING OF THE OPEN-PIT BOTTOM BEHAVIOUR
In the year 1985 the stability of the open-pit mine Jirí was
solved by the finite elements method for the excavation process realized in the years 1981-1983 and
planned for the years 1984-1991 (Dolezalová et al.
1985). Two alternatives were carried
out. The first variant with the
coefficient of the lateral pressure Ko=0,33 and with a
more flexible contact between the
vulcanodetritical layers and the basal strata and the second variant for Ko=0,9
and with a more rigid contact. Both alternatives were calculated for the initial level of artesian water and for 20m
and 40m lower. The calculations showed
that the danger of the bottom breaking first of all depends on the used value Ko. For Ko=0,33
growth of the stress and deformation
appeared after the year 1985. For Ko=0,9 the open-pit bottom was
stable during the all modelled period
without the need of lowering the confined level. On the basis of comparison of
the open-pit bottom deformations
determined in the model with the
levelling measurement in the open-pit (Fig.4.) the probable value of the lateral pressure coefficient Ko=0,55
was estimated.

Fig. 4 Comparison of results of
levelling with FEM calculation.
In the next model for the excavation process in
the years 1990-1995 (Dolezalová et al. 1989)
the results of the first approaching
calculations were taken into consideration.
Partial improvement of the deformational and strength characteristics,
modulus of deformation, the normal stiffness of the contact between the tuffitic layer and the underlying bed,
was carried out. The generated coefficient
of lateral pressures was K0=0,5.
The initial state in 1990 was modelled
for the lowered water level to 350m
above the sea level. On the basis of the model results it was observed that the excavation process until 1995 can
be realized without the formation of
larger tension zones and failure zones
in the underlying bed of the excavated coal seam with the confined level of artesian waters 350m above
the sea level. The model did not shown any impact of the faults on
the underlying rock deformation. This
model was supplemented by a
parametrical study which confirmed the possibility of excavation in 1992 for lowered confined level of water to 360m
above the sea level (Dolezalová 1990).
In 1991
further approching calculations were carried out, backdate for the years 1988 and 1989, for the initial state of Ko=0,425. These
calculations showed the
significance of the faults for the
tuffitic layer deformation and the
necessity of their modelling (Dolezalová et al. 1991a). The calculation was relized for several
alternatives in dependence on the
changing stiffness of the contact with the
underlying bed, on new specification of
the rock mass properties and in the last alternative even on lowering the water level to 355m above the
sea level. This was the first case when
the intensive deformation of the
open-pit bottom near tectonic faults was successfully modelled. In the same year the approaching
calculations for the open-pit state in
March 1991 (Dolezalová et al.
1991b) were carried out. They were
carried out on the basis of the
measured vertical movements of stabilized points in the drainage adits and on the open-pit bottom.
The results of models were taken into
consideration, too. The Ko was
considered equal to 0,9 for initial state. The fault zones were modelled by means of contact elements.
Contact elements along the confining
layer were also used for modelling of the
mechanical behaviour of the fault system in the basal aquifer. The
constitutive model was designed as non-linear
and track-dependent. Altogether 9 alternatives were carried out (the changes: Ko,
compaction parameters, the shear
influence, coefficients for the residual modulus of failure and contacts in the disturbance zone). For the coefficient Ko=0,82 the results
achieved in the model were comparable
with the measurement in the open-pit mine. The
open-pit bottom remained undisturbed, maximum deformation equal to 30-50 cm were related only to a
fault block separated by two faults. In
the alternative with Ko=0,425
the deformations on the bottom reached 60-130 cm and the open-pit bottom was disturbed including the
break-through by the pressure water.
CONCLUSION
Both methods
of modelling the situations which are taking
place in the open-pit mine in relation to the coal seam excavation provided valuable knowledge. It is possible
to state that physical models proved
the ability to predict with sufficient
accuracy the deformation processes which appeared in the open-pit mine in the years which were the
subject of the model experiments. The failure possibility of the
tuffitic underlying rock impermeability
in the places of tectonic faults in consequence of the deformation recorded
on the points situated into these places was proved. During last years in the open-pit mine there were found several outflows of thermal water in the area of the faults.
Protective measures, first of all the
necessity of considerable lowering of
the confined level of artesian water, which had been suggested on the base of these experiments, was consequently applied on the open-pit mine.
The results
of interactive mathematical modelling did not
have the character of prognosis. They gave valuable geotechnical knowledge of the stress state
and deformation changes and the
possible rise of hydraulic fracturing of the
open-pit bottom in consequence of the disturbance of the impermeability of the tuffitic underlying
rocks. At present time new conception
of the solution have been utilized. This
solution provides information not only about the changes of stress state and deformation, but also about
hydraulic conditions with the
prediction possibility of the rise of
spontaneous outflows with incontrollable leakages of thermal water in the vicinity of the boreholes and
tectonic faults where big deformations
are caused by the excavation.
The model solutions became a valuable source of information which are used in the proposals
of preventive measures carried out in
the open-pit. The preventive measures
must ensure not only safe mining in the coal seam, but first of all to prevent the inadmissible changes
of hydrogeological conditions in the
area, which could endanger the thermal
springs in Karlovy Vary.
ACKNOWLEDGEMENTS
This work was funded by the Grant Agency of the
Czech Republic (Grant No. 205/97/0783
"Impacts of brown-coal mining on
the water-bearing system of Sokolov coal basin with aspects of Karlovy Vary thermal springs protection").
The author gratefully acknowledges for
this support.
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