Kestabilan Tambang Bawah Tanah 1

The Stability of
Underground Opening
Lufi Rachmad

Review from Last Week
ƒ Insitu Stress (gravitational, tectonic, residual
stresses)
ƒ An underground opening changes the stress
condition Æ Induced Stress
ƒ Induced Stress Æ could triger unstability
ƒ Understanding stresses is an important part
in designing underground opening
2

Review from Last Week
ƒ Empirical equation to estimate insitu stresses
e.g. Shoerey

1
k = 0.25 + 7 Eh ( 0.001 + )
z


3

Review from Last Week
„

Stress distribution around various opening
shapes (circle, horseshoe, square, ellipse)

„

Underground opening design methodology

4

Case Study A
An orebody XYZ has been defined as a block
caving deposit. What we should design first?

Surface

A’

7 km
Plan View

1.4 km

A

Orebody
XYZ

Orebody
XYZ

Section A-A’

5

Case Study A


ACCESS
Surface

decline

shaft

Orebody
XYZ

adit

6

Case Study A
ƒThe access for the orebody are decided to be
twin adits, 6.8 m wide and 6.0 m high.
ƒThe opening size considers the following
factors:

ƒ Biggest dimension
ƒ Effective size after
ground support
ƒ Drainage pipe &
trench
ƒ Intake airways

7

Case Study A
For the design purpose, how far apart should
these two adits be?
Orebody
XYZ

Surface

The farther
the more
ineffective

A

A’

?

Access
Adits
( A-A’)

Access Adits

Plan View
8

Case Study A
Assuming the simplest condition, the
axisymmetric stress distribution could be used.
ƒ r = 5R, the pre-mining
stress would not be

significantly different
from the virgin stress
field.

Tegangan Induksi/Tegangan Awal

2.00
Tegangan radial
Tegangan tangensial

1.50

1.00

ƒ r = 17 meter as an
early indication.

0.50

0.00

0

2

4

6

Jarak dari batas terowongan, r/R

8

10

ƒ Might be further
analyzed using pillar
stability calc and
numerical modeling
9


Insitu Stress
ƒ During preliminary design, the empirical
stress equation can be used to obtain a first
rough estimate of the vertical and average
horizontal stress in the vicinity of the tunnel
ƒ For a depth of 1,400 m, the equation
gives the vertical stress σv = 38 MPa , the
ratio k = 0.5 (for Eh = 25 GPa) and hence
the average horizontal stress σh= 19 MPa

10

Stress Distribution around
“Horse-Shoe” Tunnel
σv

„

σh = σv
„

„

A
B

B

σh

„

σh = 0.5 σv
„
„

„

σθA = 2.2 σv
σθB = 1.3 σv
σθA = 0.6 σv

σθB = 1.8 σv

σh = 0.33 σv
„
„

σθA = 0.1 σv
σθB = 1.9 σv

11

Insitu Stress
ƒ Given the rock mass strength is around 7080 MPa, a preliminary analysis of the
stresses induced around the proposed
tunnel shows that these induced stresses
are likely to exceed the strength of the rock
and that the question of stress
measurement must be considered in more
detail


12

Insitu Stress Measurement
ƒ The most common set of procedures is
based on the determination of strains in
the wall of a borehole, induced by
overcoring that part of the hole containing
the measurement device.
Various ways to measure insitu stress
ƒ Overcoring - Triaxial Strain Cell
ƒ Hydraulic Fracturing
ƒ Flatjack Measurement
ƒ Borehole Breakout
ƒ Acoustic Emission

13

Overcoring (CSIRO Cell)
„

The CSIRO cell, referred to as a hollow inclusion
cell. It consists of a thin epoxy tube, with three
strain gage rosettes, embedded within the
epoxy.
Epoxy

Strain
Gages

14

Overcoring (CSIRO Cell)
„

„

„

Overcoring methods are measuring in situ stress
based on the stress relief around the borehole.
The relief of external forces by overcoring
causes the changes in strain on the borehole
wall.
If the elastic properties of the rock are known,
the changes in borehole diameter or strains can
be converted to in situ stress in the rock.
The field procedures consist of drilling a
concentric EX-size borehole, installation of the
deformation gage, and overcoring a stress relief
borehole.
15

„

The CSIRO cell is designed to measure diametral
deformations of an EX-size (1.5" in diameter)
borehole during overcoring a concentric
borehole (6" in diameter). The diametral
deformations are measured in three directions
(60 degree apart) in the same diametral plane.

16

Overcoring (CSIRO Cell)
„
„

„

„

Need Young’s modulus and Poisson’s inputs
Limited to within 10-30 meters of existing
opening
Overcoring Cost – CSIRO Cells (2 sites)
„ NIRM
US$ 61K
US$ 44K approx. 20K per site
„ ES&S
Price does not include drilling which will be
around US$ 120K / m
17

Hydraulic Fracturing
„

Typically hydraulic fracturing is conducted in
vertical boreholes. A short segment of the hole
is sealed off using an straddle packer. This is
followed by the pressurization of the fracturefree segment of the hole by pumping in water.

18

Hydraulic Fracturing
ƒ The pressure is raised until
the rock surrounding the
hole fails in tension at a
critical pressure.
ƒ Following breakdown, the
shut-in pressure, the
lowest test-interval
pressure at which the
hydrofrac closes
completely under the
action of the stress acting
normal to the
hydrofracture

19

Hydraulic Fracturing
„

„
„

„

Limited to drill/pump equipment and ground
conditions – Max range 300m – 1000m
“Qualitative”
Assumptions
„ S1 Maximum Principle Stress is Vertical or
aligned with hole
Hydofracing
„ NIRM US$ 87K
„ Golder US$ 188K
20

Borehole Breakout
„

Extensive field evidence and laboratory
experiments suggest that borehole breakouts,
defined as borehole cross-section elongations
resulting from preferential rock failure, is a
direct consequence of the in situ stress in the
rock.

21

Borehole Breakout
„

One of the early observations of breakouts was
in the quartzite and conglomerates of the
Witwatersrand gold mine in South Africa
(Leeman, 1964). The spalling was observed to
occur at diametrically opposed points on the
borehole wall perpendicular to the direction of
the maximum principal stress.

22

Borehole Breakout
„

The most publicized
observation of breakouts
was in the 3 m diameter
drift at 420 m level in the
Underground Research
Laboratory (URL), Canada.
Two diametrically opposed
breakouts were
approximately aligned with
the vertical stress, which is
the overall least principal
stress at URL.
23

Case Study A
From insitu stress measurement, the bearing
of the major principal stress is around 38-40
degree. What is the preferable panel/undercut
drift orientation?
Panel/ Drill Drift
Orebody
XYZ

Orebody
XYZ

σ1

σ1

Plan View

Plan View
24

Case Study A
Ideally, the panel/undercut drift and the
direction of cave advance are aligned with the
principal horizontal in situ stresses.
If the direction of advance
is perpendicular, the levels
of stress in the abutment
ahead of the undercut will
be high and will increase
as the undercut advances
σ1

Orebody
XYZ

Undercut
Advance
Direction
Plan View
25

Stress Induced in the
Extraction and Undercut Level
ƒ High abutment stresses induced in the
vicinity of an advancing undercut front is
resulted from undercutting activity.

Cave Advance

Abutment
stress
26

Stress Induced in the
Extraction and Undercut Level
ƒ The magnitude of abutment stresses in the
cave vicinity could reach up 2 to 3 times
the insitu stress magnitude.
ƒ For XYZ Mine, the vertical stress σv = 38
Mpa. The abutment stress = 76 - 114
MPa
ƒ This abutment stress could devastate
development drifts if does not maintain
properly
27

Failure of yielding arch support
El Salvador Mine, Chile

Photo: M. L. Van Sint Jan
28

Rockburst at Extraction Level,
DOZ Mine, Indonesia

29

Collapse of an extraction level drift,
El Teniente Mine, Chile, 1989

1.5 m

CONCRETE
DAMAGE

CONCRETE
DAMAGE

30

Panel 15, 28 June 2003

Panel 15, 7 August 2003

Panel 15, 23 August 2003
31

Stress Induced in the
Extraction and Undercut Level
Several factors have the potential to
influence the levels of stress induced in the
extraction level excavation:
ƒ In situ Stress regime
ƒ Undercut direction
ƒ The timing of undercut relative to the
extraction level development
ƒ Undercut face shape
ƒ Cave Hydraulic Radius
ƒ Distance between Undercut and Extraction
32

Case Study A
ƒ The timing of undercut relative to the
extraction level development relates to the
selected undercutting method.
ƒ In general, there are three main undercutting
strategies:
1.Post Undercutting
2.Pre Undercutting
3.Advanced Undercutting
ƒ For XYZ BC Mine, an undercutting method
should be selected.
33

Terminology
Drill Drift - Undercut
Fan Drilling
Draw Bell
Minor Apex

Major Apex
Panel Drift Extraction

Orepass

Draw Bell Drift

Draw Point
34

Conventional Panel Caving
ƒUndercutting and drilling takes place after
development of the underlying extraction
level has been completed.
ƒDrawbells and DB drifts are prepared ahead
of the undercut and are ready to receive the
ore blasted from the undercut level

35

Advance Undercut Panel Caving
ƒ Undercutting and drilling takes place above a
partially developed extraction level.
ƒ The partial development on the extraction level
can consist of either extraction drift only or
extraction drift and drawpoint drift

36

Advance Undercut Panel Caving
ƒ Drawbells are always prepared in the destressed zone behind the undercut,
usually adhering to the 45 degree rule.

37

Comparing Abutment Stress Impact
ƒMeasuring abutment stress changes could
be done indirectly by monitoring its impact.
ƒThe stress impact reflects in displacement /
deformation occurred in the underground
opening.
ƒThere are many different methods for
monitoring displacement. The simplest and
most common among them is a
convergence gage
38

Comparing Abutment Stress Impact
ƒ A convergence gage usually consists of a
tape, wire, rod, or tub in series with a
deformation indicator.
ƒ Precision is typically around 0.005 in (0.13
mm)

39

3-Point Convergence

40

Case Study A
Near XYZ BC Mine, there is an active BC mine,
called KLM Mine, where the trial between Post
Undercut and Advanced Undercut will take
place.
Orebody
XYZ

Plan View

4 km

KLM
Mine

41

Undercut Trial at KLM Mine

Panel 15

Panel 16

Post
Undercut

Advanced
Undercut
42

Undercut Trial at KLM Mine

Cave

UC
Lvl
Cave Advance
Abutment

Extr
Lvl
Convergence
Station

18 m

Last
Blasting
Row

43

Result of KLM Mine Trial
Advanced Undercut vs Post Undercut
Stable after
Cave Front
Passing

Cave Advance

Post Undercut

Anomaly

44

Result of KLM Mine Trial
Advanced Undercut vs Post Undercut
Stable after
Cave Front
Passing

Cave Advance

Anomaly

45

Anomaly
ƒThe anomaly from KLM Mine Trial could be
explained as the result of remnant undercut
pillar or stump.
ƒStump is created when the undercut
blasting fails to break the rock completely.
Cave
Advance

Abutment Stress

Remnant
Pillar

Cave
Last Blasting Row

46

Examples of Remnant Pillars / Stump

47

Case Study A
ƒ The KLM Mine trial shows that the
advanced undercut has the advantage to
reduce the stress induced impact to
undercut and extraction level.
ƒ Considering the KLM Mine trial result, XYZ
BC Mine will implement the advanced
undercutting method.
ƒ A note has been made that XYZ BC should
establish undercut blasting control such
that a remnant pillar will be avoided.
48

Stress Induced in the
Extraction and Undercut Level
Several factors have the potential to
influence the levels of stress induced in the
extraction level excavation:
ƒ In situ Stress regime
ƒ Undercut direction
ƒ The timing of undercut relative to the
extraction level development
ƒ Undercut face shape
ƒ Cave Hydraulic Radius
ƒ Distance between Undercut and Extraction
49

Case Study A
ƒ The undercut face shape is controlled by the
undercut opening sequence and the lead and
lag among drill drift cave front
„

Irregularities of cave front could create
unfavorable conditions in term of stress
concentration in the production level

50

Undercutting Sequence

51

Lead and Lag
Cave
Front
„

Lead and Lag: the
distance between the
caving front on adjacent
panels

Lead
and
Lag

52

Undercutting Sequence
ƒ Since trial with different undercut sequence is
quite impossible, a numerical modeling will be
used to evaluate the most preferable sequence
for XYZ BC Mine.

53

Undercutting Sequence
When comparing the results of the undercut
sequence models, the main useful criteria to
examine have proven to be:
1.Peak stress levels (in the stronger ground)
induced on the production level elevation.
2. Average and maximum values of strain
(as a measure of the severity of damage
and deformation) induced on the production
level elevation.
54

Undercutting Sequence
3. Areas of damage on the production level
elevation, measured in terms of areas where
shear strains exceed a set limit of 2 x 10-3 (2
millistrains). This value was chosen because it
includes damage in the stronger ground and
not just the weaker ground areas, which are
known to become extensively damaged,
whatever undercut sequence is chosen.

55

Undercut Opening Sequence
ƒFrom modeling result, a wedge type sequence
appears preferable. Mining in weak ground
should be over a short front, and bordered by
panels that are mining in stronger ground, which
bears load and limits rock mass deformation in
the weak ground area.

56

Undercut Opening Sequence
ƒThe undercut wedge apex should advance into
the weaker ground, close to the boundary with
stronger ground, with the apex angle broad
rather than narrow.

57

Lead and Lag
Cave
Front

„

„

Displacement
( mm/ day)

„

To evaluate the lead
and lag, convergence
information from
KLM mine is used.
Convergence data is
presented in velocity
(mm/day) contour
Displc. = Lt-L0
58

Increasing of horizontal and vertical
velocity due to lead and lag (60 meter)
No Advanced
070501

140501

0.0
mm/day

horizontal

070501

-1.3
mm/day

140501

-0.2
mm/day

vertical

-1.12
mm/day

Decreasing of horizontal and vertical velocity
after reducing lead and lag distance (54 meter)
Advance 6 m
290501
140501

140501

-1.3
mm/day

horizontal

-0.74
mm/day

290501

-1.12
mm/day

vertical

-0.1
mm/day

Decreasing of horizontal and vertical velocity
after reducing lead and lag distance (45 meter)
Advance 9 m
290501

120601

-0.74
mm/day

horizontal

290501

-0.5
mm/day

120601

-0.1
mm/day

vertical

0.3
mm/day

Increasing of horizontal velocity due to no
advanced of lead and lag distance (45 meter)
No Advance
120601

260601

-0.5
mm/day

horizontal

120601

-0.65
mm/day

260601

0.3
mm/day

vertical

-0.2
mm/day

Decreasing of horizontal and vertical velocity
after reducing lead and lag distance
(30 meter)
Advance 15 m
130701
260601

260601

-0.65
mm/day

horizontal

-0.4
mm/day

130701

-0.2
mm/day

vertical

0.0
mm/day

Increasing of horizontal velocity due to no advanced
of lead and lag distance (30 meter)
No Advance
070801
130701

130701

-0.4
mm/day

horizontal

-0.8
mm/day

070801

0.0
mm/day

vertical

-0.1
mm/day

Decreasing of horizontal and vertical velocity
after reducing lead and lag distance (25 meter)
Advance 5 m
230801
070801

070801

-0.8
mm/day

horizontal

-0.1
mm/day

230801

-0.1
mm/day

vertical

0.0
mm/day

Increasing of horizontal and vertical velocity due to
no advanced of lead and lag distance (25 meter)
No Advance
150901
230801

230801

-0.1
mm/day

horizontal

-0.75
mm/day

150901

0.0
mm/day

vertical

-0.4
mm/day

Decreasing of horizontal and vertical velocity after
reduce lead and lag distance (8 meter)
Advance 17 m
260901
150901

150901

-0.75
mm/day

horizontal

-0.4
mm/day

260901

-0.4
mm/day

vertical

0.1
mm/day

Decreasing of horizontal and vertical velocity in the
same of lead and lag distance (8 meter)
No Advance
091001
260901

260901

-0.4
mm/day

horizontal

-0.1
mm/day

091001

0.1
mm/day

vertical

0.0
mm/day

Decreasing of horizontal and vertical velocity below 8
meter of lead and lag distance (5 meter)
Advance 3 m
261001
091001

091001

-0.1
mm/day

horizontal

0.0
mm/day

261001

0.0
mm/day

vertical

0.0
mm/day

Constant stable of horizontal and vertical velocity
below 8 meter of lead and lag distance (5 meter)
No Advance
071101
261001

261001

0.0
mm/day

horizontal

0.0
mm/day

071101

0.0
mm/day

vertical

0.0
mm/day

Lead & Lag Issue
Reading
Date

Lead
and Lag
Distance (m)

Cave
Advanced (m)

Horizontal
Displacement
Velocity (mm/day)

Vertical
Displacement
Velocity (mm/day)

07-May-01

0

0.0

0.2

14-May-01

Cave not
started
60

0

1.3 (↑)

1.12 (↑)

29-May-01

54

6

0.74 (↓)

0.1 (↓)

12-Jun-01

45

9

0.5 (↓)

-0.3 (↓)

26-Jun-01

45

0

0.65 (↑)

0.2 (↑)

13-Jul-01

30

15

0.4 (↓)

0.0 (↓)

07-Aug-01

30

0

0.8 (↑)

0.1 (↑)

23-Aug-01

25

5

0.1 (↓)

0.0 (↓)

15-Sept-01

25

0

0.75 (↑)

0.4 (↑)

26-Sept-01

8

17

0.4 (↓)

-0.1 (↓)

09-Oct-01

8

0

0.1 (↓)

0.0 (↓)

29-Oct-01

5

3

0.0 (↓)

0.0≈
71

Lead & Lag Issue
„

„

From the convergence measurement, the ideal
lead and lag is between 5 to 8 meters, cave
front can be stopped without any significant
displacement
If the lead and lag is over the 12 m, the cave
face cannot be stopped for more than one week
because excessive damage will occur in the
panels

72

Case Study A
XYZ Mine
Undercut
Sequence and
Direction

Extraction Drift
Orientation

Access
Adits

Plan View
73