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Impact of Mining Extraction on Above-Ground Pipelines
To cite this article: Piotr Kalisz 2019 IOP Conf. Ser.: Earth Environ. Sci. 362 012152
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World Multidisciplinary Earth Sciences Symposium (WMESS 2019)
IOP Conf. Series: Earth and Environmental Science 362 (2019) 012152
IOP Publishing
doi:10.1088/1755-1315/362/1/012152
Impact of Mining Extraction on Above-Ground Pipelines
Piotr Kalisz 1
1
Central Mining Institute, Plac Gwarków 1, 40-166 Katowice, Poland
pkalisz@gig.eu
Abstract. The issue of the impact of subsoil deformations on above-ground steel pipelines,
especially district heating pipelines, located in mining areas in Poland was discussed. The
pipelines constructed from steel pipes joined by welding and supported by slide, guide and
fixed rigid supports were taken into account. Expansion joints in district heating pipelines are
installed due to significant changes in their length caused by temperature changes. Subsoil
deformations in mining areas cause displacements of supports and thus pipelines are subjected
to additional displacements, forces and bending moments. Pipelines are protected against this
impact by the use of additional expansion joints or expansion joints with an increased
operating range. In the article, the way of assessing the possibility of transferring mining
deformations of the subsoil by existing above-ground pipelines was presented. Evaluation of
the possibility considers: a. the assessment of the technical condition of the pipelines and
supports based on the conducted inventory in the field, b. the assessment of the current ability
to transmit the subsoil deformations by expansion joints, c. the kinematic analysis of the
pipelines, taking into account the extreme values of support displacements, resulting from
predicted values of mining deformations of the subsoil, d. the static and strength analysis for
selected elements or sections of the pipelines.
1. Introduction
The utility networks are partly built of above-ground pipelines. In mining areas in Poland, these are
mainly heating pipelines, as well as short sections of water and gas pipelines passing over obstacles,
such as watercourses. Above-ground pipelines are laid on supports located in the subsoil.
In mining areas, the above-ground pipelines are subjected to the subsoil deformations, caused by
underground extraction of the deposits. These deformations cause displacements of supports, and
hence displacements and deformations, as well as additional loads of above-ground pipelines. The aim
of the article is to analyse the impact of mining deformations of the subsoil on above-ground steel
pipelines and the way of considering this impact.
2. Impact of underground mining extraction on the surface
Underground mining extraction causes deformations of the subsurface soil layer, such as:
- subsidence w,
- tilt T,
- horizontal displacement u,
- horizontal strain ,
- curvature K of the surface with radius R.
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World Multidisciplinary Earth Sciences Symposium (WMESS 2019)
IOP Conf. Series: Earth and Environmental Science 362 (2019) 012152
IOP Publishing
doi:10.1088/1755-1315/362/1/012152
The symmetric distribution of mining deformations in the area of extraction edges in accordance
with the Budryk-Knothe theory [1,2,3] is schematically presented in figure 1.
Figure 1. Distribution of mining deformations according to the Budryk-Knothe theory [1,2]
3. Impact of underground mining extraction on above-ground pipelines
In mining areas in Poland, above-ground district heating pipelines are mainly constructed of steel
welded pipes laid on low supports (figure 1) and were built in the 20th century. These supports are
made of reinforced concrete or/and steel. The district heating pipelines are equipped with thermal
expansions joints, and in mining areas additionally with expansions joints which compensate the
length changes caused by subsoil deformations.
The main structural elements of above-ground district heating pipeline are: fixed supports (figure 2,
left), sliding supports – slip (figure 2, right) or roller bearing (figure 3, left), guide (figure 3, right),
expansion joints – U-type expansion loop (figure 4), L and Z bends, bellows expansion joints – axial,
transversal (figure 8) or universal.
Figure 2. Supports: fixed (left), sliding (right)
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World Multidisciplinary Earth Sciences Symposium (WMESS 2019)
IOP Conf. Series: Earth and Environmental Science 362 (2019) 012152
IOP Publishing
doi:10.1088/1755-1315/362/1/012152
Figure 3. Supports: roller bearing (left), guide (right)
Figure 4. District heating pipeline laid on low supports with a horizontal expansion loop
Expansion loops are the most commonly used to protect district heating pipelines with smaller
diameters [4,5,6]. The general principle of installing a U-shape expansion loop on the section of the
pipeline is shown in figure 5 [4,7,8]. Thermal expansion joints are pre-tensioned during installation,
which is usually 50% of their range. As a result of the temperature change of the heating [5,7,8],
pipelines are extended or shortened. The allowable change Δld = 2f (figure 5) in the length of the
pipeline section between fixed supports in the U-type expansion loop may be calculated from the
formula:
Δld
k g I xo
h yo mED
(1)
where:
kg - the allowable bending stress,
Ixo - the moment of inertia of the expansion loop with respect to the horizontal axis passing through
its centre of gravity,
yo - the distance between the centre of gravity of the expansion loop and the axis of the pipeline,
h - the expansion loop height,
D - the outer diameter of the pipeline,
E - Young’s modulus,
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World Multidisciplinary Earth Sciences Symposium (WMESS 2019)
IOP Conf. Series: Earth and Environmental Science 362 (2019) 012152
m
IOP Publishing
doi:10.1088/1755-1315/362/1/012152
- the factor that takes into account the concentration of normal stresses when bending on curves,
due to the change in the shape of the pipe cross-section, from circular to an oval cross-section.
Figure 5. The installation way of expansion loop and supports on heating pipeline and its basic
dimensions [4,5], and the impact of horizontal and vertical displacements: 1) fixed support, 2) sliding
support, 3) expansion loop, where: l – length of the section between fixed supports, Δlg – change in the
length l, u1, u2 – displacements of fixed supports, a, b, h, R, lr – dimensions of an expansion loop
Displacements of supports, due to mining extraction, cause displacements of the pipeline and
deflections of expansion loops (figures 6 and 7).
Figure 6. Vertical expansion loop under compression in the mining area
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World Multidisciplinary Earth Sciences Symposium (WMESS 2019)
IOP Conf. Series: Earth and Environmental Science 362 (2019) 012152
IOP Publishing
doi:10.1088/1755-1315/362/1/012152
Figure 7. Vertical expansion loop under tension in the mining area
Bellows expansion joints, for which it is necessary to build guide supports, are mainly used to
protect large-diameter thermal mains [5], for example, 2 x DN800 (figure 8). These expansion joints
have the capacity to transmit length changes Δld of the pipeline which is specified by the producer.
The pipeline is divided into sections and one or two axial expansion joints are installed between the
two fixed supports (figure 9). To compensate angular deformations, hinged (figure 8) and gimbal
bellows expansion joints are used that do not have the capacity to transmit length changes. The
universal bellows expansion joints [4] have the ability to transmit simultaneously the length and
angular deformations.
Figure 8. Hinged bellows expansion joint on the pipeline 2 x DN800
Figure 9. The example of the installation of axial bellows expansion joint and supports on a district
heating pipeline: 1) fixed support, 2) bellows expansion joint, 3) guide support
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World Multidisciplinary Earth Sciences Symposium (WMESS 2019)
IOP Conf. Series: Earth and Environmental Science 362 (2019) 012152
IOP Publishing
doi:10.1088/1755-1315/362/1/012152
Steel water and gas pipelines are also constructed as above-ground [9,10] especially when passing
over obstacles, such as watercourses. In mining areas, above-ground sections of steel pipelines are
divided into segments and connected by sleeve expansion joints, such as in water mains (figures 10
and 11). They are also laid on fixed and sliding supports. Expansion joints are used to protect pipelines
against the impact of mining deformations of the subsoil.
Figure 10. Section of water main pipeline laid on four roller supports and the fixed support (central)
between two sleeve expansion joints
Figure 11. Water main DN600 with a double-sided sleeve expansion joint
Horizontal displacements of sliding supports are not transferred to the pipelines, although they
cause longitudinal forces in the segments between the sleeves, which in the case of corroded and
contaminated elements of their construction can reach significant values. The longitudinal forces also
result from the resistance between the pipes and the gasket of sleeve expansion joints. The extreme
value of the longitudinal force in the pipeline segment can be calculated from the formula:
T Tk T p
Tk - the resistance force between the pipe and the gasket of sleeve expansion joint [5,7],
Tk πDψμu pr bu ,
D
u
pr
bu
Tp
-
the outer diameter of the water pipe,
the coefficient dependent on the outer diameter of the pipe,
the friction coefficient of the gasket on the surface of the pipe,
the operating pressure,
the width of the gasket,
the resistance force of sliding supports [5,7], T p qL
μ - the friction coefficient on the sliding support,
q - the unit weight of the pipeline,
L - the length of the pipeline between the fixed support and the sleeve expansion joint.
6
(2)
World Multidisciplinary Earth Sciences Symposium (WMESS 2019)
IOP Conf. Series: Earth and Environmental Science 362 (2019) 012152
IOP Publishing
doi:10.1088/1755-1315/362/1/012152
Due to the impact of underground extraction, uneven displacement of fixed supports occurs and the
distance between them changes (figure 5). This distance is increased or decreased depending on the
location of these supports relative to the extraction edge. It decreases over the extracted area (figure 1)
and increases outside this area. This causes horizontal compression and tension of the pipeline. The
change in the distance between fixed supports of the pipeline, taking into account thermal effects lt,
cannot be higher than the allowable range ld. It means that lg + lt ≤ ld, where lg is the extension
or shortening of the district heating pipeline between fixed supports due to the impact of mining
extraction. Considering horizontal and vertical displacements of fixed supports, the change lg in
distance between them results in the extension or shortening of the pipeline length l and amounts to:
Δl g
l un un-1 2 wn wn-1 2
l
(3)
where:
un, un-1 - horizontal longitudinal displacements of the neighbouring fixed supports of the pipeline
(measured, calculated or predicted),
wn, wn-1 - subsidence of the neighbouring fixed supports of the pipeline (measured, calculated or
predicted),
l
- the distance between the neighbouring fixed supports of the pipeline.
If the change in the distance between the fixed supports is higher than the compensation range of
the expansion joints, the pipeline may be damaged due to additional stresses in its elements and
excessive forces acting on the fixed supports. The uneven vertical and horizontal displacements of the
sliding supports also play an important role because they may even lead to the local loss of their
support.
The additional deflections of expansion loops lg cause additional longitudinal forces Px acting on
the fixed supports [5,7]:
Px
EIl g
I x0
(4)
The longitudinal forces cause additional bending moments Mlr and MB in the expansion loop [5,7]:
M lr Px y0
(5)
M B Px H - y0
(6)
Surface curvatures cause additional bending moments in pipelines, generally much smaller than
those caused by horizontal displacements of fixed supports. The vertical curvature with radius R also
causes the vertical curve of the pipeline [2,3], which causes the bending moment MK:
M K EI
R
(7)
where I is the moment of inertia of the pipeline, in a vertical expansion loop I equals to the moment of
inertia Ixo with respect to the horizontal axis passing through its centre of gravity.
Assessment of the possibility of transferring the impact of mining extraction by existing aboveground pipelines should include an assessment of their current capacity to compensate supports
displacements forced by the subsoil deformations. Therefore, this assessment should demonstrate the
safety of the pipeline for specific values of mining deformations of the subsoil. The safety is assessed
by calculating the ultimate limit state and the serviceability limit state. For this purpose, the computer
program “Pipelines”, which was developed in the Central Mining Institute, may be used. The program
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World Multidisciplinary Earth Sciences Symposium (WMESS 2019)
IOP Conf. Series: Earth and Environmental Science 362 (2019) 012152
IOP Publishing
doi:10.1088/1755-1315/362/1/012152
enables the acquisition of inventory data about the characteristics of pipelines and their technical
condition. This program allows the collection of information about the pipeline sections and their
resistance to mining deformations of the subsoil and the comparison of this resistance with the
predicted mining deformations.
4. Analysis of the calculation results
The analysis of the impact of mining extraction on the above-ground pipelines is presented on the base
of the district heating pipeline and water main. The parameters of these above-ground pipelines are as
follows:
the steel district heating pipeline 2 x DN273 with vertical expansion loops – outer diameter
Dz = 273.0 mm, wall thickness g = 7.1 mm, operating temperature 150C, operating pressure
p = 1.6 MPa, allowable bending stress kg = 200.0 MPa and Young modulus in the operating
temperature E = 200 GPa, distance between the fixed supports l = 80.0 m, dimensions of the
expansion loops a = 6.0 m, h = 4.0 m, R = 1.0 m, lr = 10.9 m, y0 = 1.27 m, Ix0 = 180.06 m3,
ld= 241.5 mm,
the steel water main DN1620 – outer diameter Dz = 1620 mm, wall thickness g = 14.0 mm,
allowable tensile stress kd = 210.0 MPa and E =210 GPa, distance between the expansion joints
l = 60.0 m, operating pressure p = 1.2 MPa, coefficient of friction in the sleeve expansion joint
u = 0.45 and coefficient of friction in the sliding (roller) supports = 0.1, ld= 500.0 mm.
The extreme values of the subsoil deformations, caused by mining extraction, that affect the
pipelines are as follows:
− the calculated value of horizontal soil strain ε = 2.2 mm/m,
− the surface curvature of the radius Rmin = 10.0 km,
− the horizontal displacement of the neighbouring fixed supports u2 = 0.32 m, u1 = 0.15 m,
− the subsidence of the neighbouring fixed supports w1 = 1.90 m, w2 = 2.10 m.
The calculation results of axial forces Px, bending moments M and additional longitudinal stresses
l caused by the underground mining extraction, with the use of equations (17), are presented in
tables 1 and 2.
Table 1. Values of additional axial forces, bending moments and stresses in the district heating
pipeline 2 x DN273
Nominal
diameter
Material
p
MPa
Dz
mm
mm
2xDN273
steel
1.6
273.0
7.1
lg
mm
l
m
lPx
Px
kN
MPa
Mlr
MNm
MB
MNm
80.0 170.3 5.16
1.72
0.01
0.02
g
MK
MNm
lMmax
MPa
3601.27 57.36
Table 2. Values of axial forces and additional stresses in the water pipeline DN1620
Nominal
diameter
Material
p
MPa
DN1620
steel
1.2
Dz
mm
g
mm
1620.0 14.0
l
m
lg
mm
Tk
kN
60.0 170.3 480.7
Tp
kN
MK
MNm
lMmax
MPa
lT
76.2
7.89
0.48
17.01
MPa
The obtained calculation results show that subsoil deformations cause significant values of
additional displacements and loads of the above-ground pipelines and should be taken into account. In
the case of the lack of expansion joints in the water main pipeline, the value of additional extreme
longitudinal stresses l, calculated for the values of the strain ε = 2.2 mm/m, amounts to
l = 462.0 MPa >> kd = 210.0 MPa. The calculated values of extreme longitudinal stress for
continuous steel pipeline are much higher than allowable stress. This shows that the use of expansion
joints is needed, although they are the most susceptible to failures in mining areas.
8
World Multidisciplinary Earth Sciences Symposium (WMESS 2019)
IOP Conf. Series: Earth and Environmental Science 362 (2019) 012152
IOP Publishing
doi:10.1088/1755-1315/362/1/012152
5. Conclusions
In mining areas, above-ground pipelines are protected against the influence of mining deformations of
the subsoil mainly through the use of expansion joints. In district heating pipelines there are expansion
loops and bellows expansion joints which both protect the pipelines against the thermal impact and
additionally against mining impact. A typical above-ground pipeline consists of one, two or three lines
laid on fixed and sliding supports, attached to low reinforced concrete or steel pillars. In mining areas
sliding supports are displaced relative to the pipeline, and displacements of fixed supports are
transferred to the pipelines and should be transmitted by expansion joints.
The impact of mining deformations of the subsoil causes additional forces and bending moments
acting on the pipeline [11] and may cause the exhaustion of the possible range of compensation due to
significant displacements of fixed supports. Assessment of the possibility of transferring the impact of
underground mining extraction by above-ground pipelines should include:
• the assessment of the technical condition of the pipelines and supports based on the conducted
inventory in the field,
• the assessment of the current ability to transmit the subsoil deformations by expansion joints,
• the kinematic analysis of the pipelines, taking into account the extreme values of support
displacements, resulting from predicted values of mining deformations of the subsoil,
• the static and strength analysis for selected, characteristic elements or sections of the pipelines.
The assessment of the possibility of transferring the impact of underground mining extraction by
the pipelines and the inventory work can be supported by the computer program with a suitable
database.
Acknowledgment(s)
The article is a result of the research work conducted by the Central Mining Institute
(No. 10070417-132).
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