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International Journal of Rock Mechanics & Mining Sciences 48 (2011) 805–818
Contents lists available at ScienceDirect
International Journal ofRock Mechanics & Mining Sciences
1365-16
doi:10.1
n Corr
Campus
fax: þ4
E-m
journal homepage: www.elsevier.com/locate/ijrmms
Assessment of mining induced stress development over coal pillarsduring depillaring
A.K. Singh a, Rajendra Singh a,n, J. Maiti b, Rakesh Kumar a, P.K. Mandal a
a Central Institute of Mining and Fuel Research (CIMFR, under CSIR), Dhanbad 826001, Jharkhand, Indiab Indian Institute of Technology (IIT), Kharagpur 721302, West Bengal, India
a r t i c l e i n f o
Article history:
Received 29 June 2010
Received in revised form
29 January 2011
Accepted 15 April 2011Available online 8 May 2011
Keywords:
Bord and pillar
Field monitoring
Mining induced stress
Depth of cover
Roof caveability and stress meter
09/$ - see front matter & 2011 Elsevier Ltd. A
016/j.ijrmms.2011.04.004
esponding author. Present address: Camborn
, Penryn, Cornwall TR10 9EZ, UK. Tel.: þ44 1
4 1326 371859.
ail address: [email protected] (R. Singh).
a b s t r a c t
Earlier, an analysis of in situ observations at different sites of Indian coalfields was made to visualize the
development of mining induced stress over the coal pillars facing goaf line. An empirical relationship
was also attempted to estimate the range of influence and the value of ultimate induced stress (vertical)
over the coal pillars. However, the attempt was based on field monitoring data of only five depillaring
faces with varying geo-mining conditions. Considering a need of the Indian coal mining industry,
further field monitoring is done at 16 more depillaring faces with depth cover (average) range variation
from 44 to 244 m. The geo-mechanical properties of overlying roof strata of each site were also
determined to assess their caving characteristics in terms CMRI (now, CIMFR) caveability index, which
nearly varied from 1000 to 10,000 for the studied sites. Presenting a brief review of different studies
conducted for mining induced stress development, this paper discusses outcomes of the in situ studies
of mining induced stress development during depillaring under varying geo-mining conditions.
Considering the results of this study, earlier developed empirical relationship was, accordingly,
modified for estimation of the range of influence and the value of ultimate mining induced stress
(vertical) over the coal pillars.
& 2011 Elsevier Ltd. All rights reserved.
1. Introduction
Bord and pillars of different sizes and shapes are the two basicstructures associated with underground coal mining. Performanceof these two underground structures is responsible for the successof a mining operation below the ground. However, the perfor-mance of these structures is highly dependent upon two types ofstresses; mining induced stresses [1] and in situ stress [2]. For agiven site, the in situ stress is more or less static in nature but themining induced stresses over pillars/stooks keeps changing and ishighly influenced by the strata equilibrium dynamics during differ-ent stages of the underground coal mining activity. A familiar modelof the mining induced stress (vertical) development around anunderground mining face at different stages of working is shownin Fig. 1.
Many underground coal mines in India are operating at shallowcover, where board and pillar is the dominant mining method. Largenumber of coal seams has extensively been developed by formationof pillars to meet the increasing demand of coal in the country.Techno-economic scenario of the Indian coal mining industry
ll rights reserved.
e School of Mines, Cornwall
326 371839;
supported this strategy of coal production. It is reported that around3000 Mt of coal reserve is locked [3] in pillars under varying geo-mining conditions. Now, the industry is looking towards this hugeamount of locked-up coal in the pillars. However, undergroundextraction of these pillars is facing serious challenge due to presenceof difficult overlying strata. In general, underground coal mining inIndia often experiences strata control problems due to presence ofmassive and strong overlying strata [4–6]. Caving of roof strata is,generally, delayed and takes place after a large overhang during finalextraction (depillaring). The large overhang results in developmentof high value of mining induced stresses and dynamic loading ofsupports (both, natural and applied) during their breaking for fall.Here, an assessment of nature and amount of mining induced stressdevelopment is an important factor for proper pattern and designof supports to arrest adverse effects of the caving. Absence ofan estimation of the nature and amount of mining induced stressmay cause a substantial mismatch of the support during the finalextraction, which is a potential source of threat for safety ofunderground coal mining below competent roof strata.
Due to complex rock mass behavior under changing stressconditions of underground coal mining, an empirical formulationon the basis of field observations is, generally, adopted forassessment of nature and amount of mining induced stressdevelopment. Accordingly, CMRI (now CIMFR) earlier attemptedto develop an empirical formulation [1] and, therefore, undertook
Width of excavation
Min
ing
indu
ced
stre
ss
Working horizon
Surface
Distressed zone
Mining induced stress development
Arch formation
Width of excavation
Stress level before mining
Mining induced stress development
Stress level before mining
Surface subsidence
Width of excavation
Hanging cantilever
Min
ing
indu
ced
stre
ss
Angle of draw
Surface
Width of excavation Working horizon
Min
ing
indu
ced
stre
ss
Stress level before mining
Mining induced stress development
Arch formation
Surface
Mining induced stress development Caved roof strata
Arch formation
Min
ing
indu
ced
stre
ss
Fig. 1. A conceptual model of mining induced stress (vertical) develeopment at different widths of excavations for an underground coal mining. (A) narrow working
without roof fall, (B) increased width of working with some roof fall, (C) wider working caused more roof fall without surface subsidence and (D) surface subsidence due to
further increased in working width.
A.K. Singh et al. / International Journal of Rock Mechanics & Mining Sciences 48 (2011) 805–818806
a field investigation to visualize the nature of development of themining induced stress under varying geo-mining conditions ofIndian coalfields. However, the study remained limited to onlyfive sites due to challenging nature of the associated fieldobservations. Recently, another Science and Technology (S&T)project is successfully completed [7], where sixteen more depil-laring faces were instrumented and monitored for assessment ofthe mining induced stress development. Nearly 150 vibratingwire stress meters were used for underground monitoring of thestress development with increase in dimension of the under-ground excavation due to pillar extraction. The quality of theoverlying roof strata of all these observed sites is assessedthrough geo-technical logging and laboratory testing of physico-mechanical properties of the freshly procured core samples.
In this paper, results of the above mentioned field studies arecompiled and an attempt is made to modify earlier formulations
[1] to assess ultimate value and range of influence of the mininginduced stress under varying geo-mining conditions of the coal-fields. Mining induced stresses are of two types: vertical andhorizontal. It is vertical mining induced stress which, generally,threats safety of the supports and studied under this project. Theword ‘‘mining induced stress’’ in this paper refers to only ‘‘verticalmining induced stress’’, which is discussed in this paper.
2. Mining induced stress
Existing natural state of stress equilibrium around a coal seamis disturbed by an opening formed due to underground extrac-tion of a part of the seam. The load of the overburden directlyabove the opening, previously carried by the coal, is transferredfrom immediate roof to surrounding pillars. An increase in the
A.K. Singh et al. / International Journal of Rock Mechanics & Mining Sciences 48 (2011) 805–818 807
width of the opening, generally, increases the value of the mininginduced stress and its range of influence over the surroundingpillars till the fall of the overlying strata. Before roof failure, theamount of the transferred overburden load due to an opening ismainly dependent upon its width and depth cover of the seam [8].In general, the surrounding pillars experience a maximumamount of mining induced stress just before the main fall ofthe roof.
2.1. Assessment approaches
In general, tributary area method is used to estimate the valueof mining induced stress around a symmetrical excavation withlow percentage of extraction. The scope of the tributary areamethod ends with high percentage of extraction and roof stratafailure. Once the strata breaks and acquires a new state ofequilibrium, an assessment of mining induced stress over coalpillars around the excavation becomes a challenging task. Here, itis difficult to correctly assess the amount of overhang, horizons ofbed separation and bulking of the caved strata. In fact, failure ofoverlying roof strata is mainly governed by the geology andstrength of the strata. Due to further dimensional increase ofthe opening, mining induced stress is created by the immediateroof strata cantilevering over the goaf area and their magnitudesdepend, mainly, on the length and thickness of the roof strata thatoverhang inside the goaf area.
In past, a number of attempts [9,10] utilizing, both, simulation[11,12] and field observations [13,14] were made to understandthe nature and amount of mining induced stress variation in andaround an underground excavation due to coal mining. In addi-tion to visualizing the nature of the mining induced stressredistribution, results of these studies were used to estimate thein situ strength of a coal pillar.
For a longwall face, experiencing bulking controlled caving, there-establishment of cover pressure distance [15] is characterizedwith a three parameter power function in which the independentvariables are depth, excavation height, bulking factor and com-pressive strength of the rock fragments. Yavuz [15] found that anincrease in mining height causes increase in bulking factor of thecaved rock piles resulting increase in cover pressure distance(Fig. 2). Efforts are also made to visualize the mining inducedstress development under jointed and unjointed rock mass [16].Even with all these measurements, there is lack of sufficientmining induced stress development data and, therefore, the dataof two entirely different geo-mining conditions [17,18] arecombined for numerical modeling [19].
0
100
200
300
400
500
600
0 50 100 150 200 250 300
Cover pressure distance (m)
Dep
th (
m)
h1 h2 h3 h4h1 h2 h3 h4h1 h2 h3 h4
Soft rock Medium strong rock Strong rock
Fig. 2. Effect of excavation height on the cover pressure distance (after [15]).
2.2. Mechanism of pillar loading
As soon as a pillar is formed in a coal seam, mining inducedstress develops over it, which, initially, remains confined over theedge of the pillar and its value stays small. Depillaring adopts anumber of manners of pillar extraction but all these manners;basically, reduce the size of pillars around the extraction lineresulting corresponding increase in width of the excavation. Anincrease in the width of the excavation results increase in value ofthe mining induced stress. Once the value of the induced stressexceeds the uniaxial compressive strength of the coal, some sidedeformation/spalling of pillar is observed and the position of thepeak value of the induced stress shifts inside the pillar. In fact, thearrest of increased value of mining induced stress is due to tri-axial state of the loading condition inside the pillar. The mostobvious sign of high value of mining induced stress at deepercover or under massive roof strata is spalling from the pillar/stooksurfaces. Further increase in the stress pushes the position of thepeak value of the induced stress further inside the pillar [20]which brings even core of the pillar under its influence beforefailure. Lunder and Pakalnis [21] and Fang and Harrison [22] havedescribed the progressive stages of degradation of a pillar underincreasing high value of stress.
2.3. Influencing parameters
Majumder and Chakrabarty [10] found that the mininginduced stress increases with decreasing seam thickness. Thiswas explained by the fact the reduction in seam thicknessgenerates a higher strain in coal adjacent to roadway. This inturn produces higher stress. On the basis of field measurementsand laboratory investigations on simulated models, Jayanthu et al.[23] also found that the maximum vertical stress over rib andstook decreases with increase in working height during depillar-ing. Observed maximum stress levels [23] over rib, stooks andpillars for different seam thickness and depth of cover are given inTable 1. Observations and evaluation of effect of floor benching onpillar stability [24] showed that increase in pillar height lowers itsstiffness resulting low pillar stress. However, all these observedinfluences of height of extraction on mining induced stress are notvery significant.
Field investigations [1] showed that the nature of developmentof mining induced stress over pillar/stook at different stages ofdepillaring, for a nearly flat coal seam, is influenced by differentparameters like depth of cover, characteristics of overlying strata,distance from face line, extraction height and goaf treatment. It isobserved that the core of a stook remains intact during caving ofweak roof strata but caving of massive roof may lead to overriding.
Table 1Maximum vertical stress over rib, stook and pillar for different seam thickness and
depth cover in the numerical models (after [23]).
Particulars Depth (m) Stress (MPa) for different height (he) of the workings
he¼3 m he¼5 m he¼7 m he¼9 m he¼11 m
Pillar 60 2.22 2.39 2.41 2.37 2.37
120 4.14 4.39 4.39 4.65 4.45
240 8.26 8.52 8.76 8.71 8.77
Stook 60 5.42 4.92 4.94 5.06 5.24
120 11.20 10.36 9.92 9.76 9.76
240 22.30 18.31 16.55 16.40 16.50
Rib 60 10.94 9.17 7.85 7.01 6.28
120 12.40 11.60 9.85 9.89 9.79
240 21.60 11.26 9.98 9.20 9.11
Just before failure
Min
ing
indu
ced
stre
ss (
vert
ical
) M
Pa
12
2 m
6m
Pillar (w/h=3)
Min
ing
indu
ced
stre
ss (
vert
ical
) M
Pa
2.0
19m
Only side spalling
2 m
Pillar (w/h=9.5)
9
6
3
0
1.5
1.0
0.5
0
Fig. 3. Observed profile of mining induced stress over two pillars of same depillaring panel having different w/h ratios and facing goaf line under similar strata movement
conditions.
A.K. Singh et al. / International Journal of Rock Mechanics & Mining Sciences 48 (2011) 805–818808
An increase in width to height ratio (w/h) directly increasesstiffness and changes nature of post failure characteristic of a coalspecimen. Similarly, a pillar of higher w/h ratio arrests the roofmovement and its core remains intact even against a massive andstrong roof strata. While, on the other hand, a pillar/stook of lowvalue of w/h ratio around a depillaring face starts yielding/deforming,which allows, relatively, increased amount of overlying strata move-ment resulting higher value of the induced stress. Fig. 3 shows fieldobservations [25] of ultimate mining induced stress developed overtwo pillars, with w/h ratio 3 and 9.5, respectively, facing goaf line attwo different places in the same depillaring panel. These two pillars/stooks were located at center of the face line and encountered goafedge against a void of sufficient dimension to cause maximumamount of mining induced stress. This study is conducted in adepillaring panel with less than 80 m depth of cover and thecontinuity of measurement in space, especially in the squat pillar,remained quite discrete but could demonstrate the role of pillarstrength and stiffness over the development of mining induced stressat shallow cover. Therefore, it became important to select the size ofan instrumented pillar during the study, which could iteratively betackled by experience and mentioned in Section 5.
2.4. Significance of mining induced stress
Most of the underground coal mines in India practice bord andpillar method, mainly, due to the existing favorable [26] geo-technical conditions of the industry. In fact, competency of coaland rock masses supports this approach for the initial stage ofmining i.e., development of a coal seam. However, the final stageof mining i.e., depillaring encounters problems of strata controldue to competent overlying roof strata. Here, monitoring ofmining induced stress development is directly associated withthe safety of underground workings and even, sometimes; studyof nature of development of the horizontal value of the inducedstress is used [27] for prediction of major strata movement. Anestimation of amount and range of influence of mining inducedstress provides considerable help in optimizing, both, natural andapplied support [28]. In fact, safety factor of a pillar involves itsstrength and stress over the pillar. CIMFR has developed [29]empirical relationship among different geo-mining parameters toestimate pillar strength, which is given as
S¼ 0:27sch�0:36þH
1500:6þ
150
H
� �W
h�1
� �MPa ð1Þ
where S is the strength of pillar, sc is the compressive strength ofone inch cubes of coal (MPa), h is the extraction height (m), H isthe depth of cover (m) and W is the pillar width (m).
However, there is a lack of a reliable norm to estimate mininginduced stresses, in and around a depillaring face, which makes itdifficult to assess the safety factor. Further, in India, high capacityroof bolts and cable bolts are being used for final extraction ofcoal but, initially, the permission granting authority was againstapplication of these types of supports. In fact, Indian coal measureformations are of Lower Gondwana age, and are known fordelayed and violent caving. It was apprehended that furtherreinforcement of the massive roof strata by roof/cable bolting islikely to form a more dangerous combination as the caving of roofstrata will further be delayed. But the knowledge of pattern ofmining induced stress redistribution and its favorable interactionwith the reinforcement [30] around a depillaring face provided alogical explanation in adoption of such modern and productiveapproaches during depillaring.
For an effective capture of coal mine methane and to controlgas explosion during underground coal mining, it is importantto understand characteristics of gas (methane) flow and itsemission. These two parameters are largely dependent upon thehydraulic property (permeability) of the coal seam, whichbecomes dynamic under the influence of mining induced stressduring the final extraction of coal. Therefore it is significant tohave an idea of nature and amount of mining induced stressdevelopment in and around an underground coal face to analyzethe dynamic nature of coal permeability. Based on laboratory testdata and the simplified field conditions, an empirical relationshipbetween the horizontal coal permeability and the vertical stresshas been reported [31] to understand the dynamic nature of coalpermeability.
3. Important models
Analytical, empirical and numerical approaches have beenadopted in past to estimate the value and range of mining inducedstress over pillars during underground coal mining. Considering aninfinite, elastic, isotropic and homogeneous nature of coal measureformations, Salamon [32] derived following analytical equation forstress distribution at the edge of a longwall panel:
shðxÞ ¼xqffiffiffiffiffiffiffiffiffiffiffiffiffi
x2�L2p ðfor x4LÞ ð2Þ
where sh is the total stress, L is the half width of the panel, x is thedistance from the center of the panel and q is the virgin in situ stress,which is given as q¼gH. H is depth of cover and g is density of theoverburden.
Mark [33] used a concept (Fig. 4) of abutment angle (b) toestimate the abutment load during final extraction of coal, which
Laminated (t = 15) Overburden
Homogeneous Elastic Overburden
Empirical Abutment Stress
Distance from edge of panel (m)
Stre
ss (
MPa
) 40
50
605040302010
60
10
00
20
30
σ
-100 800
Fig. 5. Comparison of the longwall abutment stress computed from the homo-
geneous elastic model, the laminated model and the empirical formula (after [37]).
Ls
HB
P/2
P
Ls Hβ
H tanβ
Mined out panel
Fig. 4. The conceptualization of a side abutment load angle (after [33]).
A.K. Singh et al. / International Journal of Rock Mechanics & Mining Sciences 48 (2011) 805–818 809
is known as ‘‘Analysis of Longwall Pillar Stability’’ (ALPS) and isused widely for designing of pillars in longwall gate-roads. As perthis empirical approach, the measured distribution of inducedabutment stress (sf) follows following the equation:
sf ¼3Ls
ðDs�LÞ3ðDs�xÞ2 ð3Þ
where Ls is the total side abutment load and Ds is the maximumhorizontal extent of the abutment stress from the panel edge(x4L and xoDs).
However, the results of different field measurements in thelate 1990s [34,35] did not match with this concept of constantabutment angle. Heasley [36] considered homogeneous stratifica-tion of overburden to derive an analytical equation for inducedabutment stress (st), which is given as
stðxÞ ¼ qL
ffiffiffiffiffiffiffiffiffiffi2Es
ElM
re�
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffið2Es=ElMÞp
ðX�LÞ ð4Þ
where Es is the elastic modulus of the seam, E is the elasticmodulus of the overburden, M is the extraction thickness (forx4L) and l is the lamination constant, which is given as
l¼
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffit2
12ð1�n2Þ
sð5Þ
where t is the thickness of lamination and n is the Poisson ratio ofthe overburden.
Taking typical values of geometric and rock mass parameters,Heasley [37] computed abutment stresses at the edge of a long-wall panel with the help of Eqs. (2)–(4), which are shown in Fig. 5.To be consistent with other derivations during a comparison,Heasley shifted the origin (x) of ALPS from the edge of the panel tothe center of the panel. Plots of this figure show some disagree-ments among these three approaches, which are well discussedby Heasley. On the basis of experience of field studies of mininginduced stress in Indian coalfields, it is observed that the results ofabove mentioned [32] empirical formulations (Fig. 5) are similar tothose under week overlying strata [7] of Indian coalfields. The results
of analytical and numerical approaches (Fig. 5) are similar to thoseunder strong and massive overlying strata [7] of Indian coalfields.However, it is quite rational to consider the role of strata lamination[37] during analysis of mining induced stress development.
Poulsen [38] considered Load Transfer Distance (LTD) conceptin bord and pillar mining for estimating the lateral extent of thebase to the pressure arch between pillars [39]. Relationships weredeveloped to determine the value of LTD in terms of depth ofcover (H) after statistical analysis of 55 measurements [39] donein flat lying sedimentary deposits and is given as
LTD¼ 1� 10�4H2þ0:2701H ðmÞ ð6Þ
Considering this LTD concept, Poulsen [38] established follow-ing expression for estimating the average pillar stress in the zoneof influence (ZI), if excavation of area (ae) is made in the pillar’szone of influence:
Average pillar stress¼ rgHpð2LTDþWe=2Þ2=½pð2LTDþWe=2Þ2-ae�
ð7Þ
where We is the effective width of pillar, r is the average densityof roof rock mass and g is the acceleration due to gravity.
This is an important approach for automation of pillar loadestimation, but LTD remains valid for symmetrical extraction andmay not be suitable for a caving depillaring face. Size of a pillarfacing goaf line of a depillaring panel keeps deteriorating to acritical level and encounters, relatively, complex strata move-ment. A detailed study of interaction of different sizes of stooks/pillars with different types of overlying roof strata againstdifferent dimensions of the goaf would be an interesting investi-gation but is difficult to be conducted at real site. However, up tosome extent, this interaction is visualized through a laboratoryinvestigation conducted on simulated models.
4. Numerical modeling
A two dimensional finite difference based numerical modelingapproach is adopted to study the development of mining inducedstress over pillars/stooks of different size in and around a depillaringface. Available knowledge and experience of Mohr–Coloumb StrainHardening/Softening (MCSS) module of the Fast Lagrangian Analysisof Continua (FLAC) software [40] is the main basis for selection of thisapproach. Following two equations were used to estimate vertical(sv) and horizontal (sh) in situ stresses [2] during the simulation:
sv ¼ 0:025H ðMPaÞ ð8Þ
sh ¼ 2:4þ0:01H ð9Þ
Movement of overlying strata along the existing beddingplanes is one of the main reasons for development of mininginduced stress over pillars. Since FLAC is a continuum modelingapproach and therefore ‘‘interface’’ facility available with thispackage is used to simulate bedding planes in models. In strainsoftening approach, the shear strength (tsm) and friction angle(j0m) is estimated through Sheorey’s failure criterion for rockmasses [41] but this failure criterion is non-linear. Consideringthis fact, the value obtained by this failure criterion is slightlyadjusted for its use in the linear Mohr–Coulomb criterion.Accordingly, the value of shear strength is increased by 10% andthat of friction angle was reduced by 51 (Fig. 6).
The MCSS parameters other than the peak cohesion, frictionangle and dilation angle are also required to describe the rate ofcohesion and/or friction drop as a function of plastic strain in thepost-peak region. These MCSS parameters of rock mass arecalculated empirically by performing back analysis. Differentvalues of tsm, j0m and dilation angle for the corresponding
A.K. Singh et al. / International Journal of Rock Mechanics & Mining Sciences 48 (2011) 805–818810
changing values of shear strains for MCSS modeling are given inTable 2 [40]. On the basis of a large number of Indian case studies,Murali Mohan et al. [42] found that the value given in Table 2suits well for the MCSS model.
Using the MCSS module of FLAC, different models are run withchanging values of strength and massiveness parameters (Fig. 7)of overlying strata to assess their effect on the amount and natureof mining induced stress over rib pillars of different sizes. The
Table 2Incorporated variation of different parameters in the Mohr–Coulomb strain-
hardening/softening model [after 40].
Shear strain Cohesion (MPa) Friction angle (deg) Dilation angle (deg)
0.000 1.1tsm j0m¼5 0
0.005 1.1tsm/5 j0m¼7.5 0
0.010 0.0 j0m¼10 0
0.050 0.0 j0m¼10 0
JOB TITLE : Behaviour of pillar loading condition durin
FLAC (Version 5.00)
LEGEND
8-Apr-10 17:34 step 25263 4.500E+01 <x< 1.900E+02 4.500E+01 <y< 1.200E+02
Grid plot
0 2E 1
Central Institute of Mining and Fuel Research, Dhanbad, India
0.60 0.800 1.0
Fig. 7. Deformation of discretized grid showing beha
Shaeorey criterion
Mohr-Coloumb criterion
σtm 0 σ
5°−φ
φ
smτ1.1
τ
τ
Fig. 6. Schematic diagram showing the non-linear Sheorey criterion as against the
linear Mohr–Coulomb criterion adopted in FLAC3D (after [42]).
material properties used for this simulation study are given inTable 3. Results of one such study for a 3 m thick coal seam, whichis developed on pillars to full height at 100 m depth of cover with22 m�22 m pillar size and gallery width of 4.0 m, are shown inFig. 8. Decrease of stress on rib pillars (Fig. 8) just after caving isdue to failure of rib pillars. For rib pillars of width more than10 m, observed stress values just before caving and just aftercaving were almost same (except at the edge), whereas aconsiderable drop in the value of mining induced stress (failureof the pillar) was observed after caving for pillars less than 10 mwidth. Considering some general values of rock mass parametersfor numerical simulation, this simple study could show the role ofpillar size for mining induced stress development. However,generally, different available testing procedures fail to generatethe required input parameters for simulation of an actual siteconditions. As per our practice, the estimation of simulationparameters for particular geo-mining conditions is done [43]with the help of available empirical formulations only.
5. Field study
Considering the importance of empirical formulations formining design, Singh et al. [1] conducted a field investigation tovisualize the development of mining induced stresses duringdepillaring in Indian coalfields. On the basis of this field study,the best fit equation for ultimate induced stress (Su) over a coal
g underground
00 1.200 1.400 1.600 1.800 (10^2)
1.100
1.000
0.900
0.800
0.700
0.600
0.500
(10^2)
vior of roof strata during depillaring operation.
Table 3Material properties used in simulation study.
Roof formations Young’s modulus,
E (GPa)
Density, r(g/cm3)
sc (MPa) RMR
Roof 2–5 1.9–2.25 35 40–70
Floor 5 2.25 35 60
Coal 2 1.4 25–30 40–50
Rib thickness - 14m-12
-9
-6
-3
00 2 4 6 8 10 12 14
Distance from the edge of the rib pillarfrom goaf side (m)
Ver
tica
l str
ess
(MP
a)
Just before caving Just after caving
Just before caving Just after caving Just before caving Just after caving
Just before caving Just after cavingJust before caving Just after caving
Just before caving Just after caving Just before caving Just after caving
Rib thickness - 16m-12
-9
-6
-3
00 2 4 6 8 10 12 14 16V
erti
cal s
tres
s (M
Pa)
Just before caving Just after caving
Rib thickness - 6m-12-10-8-6-4-20
0 1 2 3 4 5 6
Ver
tica
l str
ess
(MP
a)
Rib thickness - 8m-12-10-8-6-4-20
0 1 2 3 4 5 6 7 8
Ver
tica
l str
ess
(MP
a)
Rib thickness - 10m-12
-9
-6
-3
00 1 2 3 4 5 6 7 8 9 10V
erti
cal s
tres
s (M
Pa)
Rib thickness - 12m-12
-9
-6
-3
00 2 4 6 8 10 12
Ver
tica
l str
ess
(MP
a)
Rib thickness - 2m-12
-9
-6
-3
00 0.5 1 1.5 2
Distance from the edge of the rib pillar from goaf side (m)
Ver
tica
l str
ess
(MP
a)
Rib thickness - 4m-15-12-9-6-30
0 1 2 3 4
Disatance from the edge of the pillar from goaf side (m)
Ver
tica
l str
ess
(MP
a)
Distance from the edge of the rib pillarfrom goaf side (m)
Distance from the edge of the rib pillarfrom goaf side (m)
Distance from the edge of the rib pillarfrom goaf side (m)
Distance from the edge of the rib pillarfrom goaf side (m)
Distance from the edge of the rib pillarfrom goaf side (m)
Fig. 8. Trend of variation of vertical mining induced stress developed on rib pillars just before and after caving, when rib pillars are near to the goaf edge.
A.K. Singh et al. / International Journal of Rock Mechanics & Mining Sciences 48 (2011) 805–818 811
pillar is given as
Su ¼ 0:0033Iþ0:059H�9:85MPa ð10Þ
where I is caveability index and given as
I¼slnt0:5
5ð11Þ
where s is the uniaxial compressive strength in kg/cm2, l is theaverage length of core in cm, t is the thickness of the strong bed inm, and the factor n has a value of 1.2 in the case of uniformlymassive rocks with a weighted average of RQD of 80% and above.In all other cases, n¼1.
The range of influence (R) ahead of a depillaring face may beestimated by the expression
R¼ 0:106Iþ0:1H�12:45m ð12Þ
These expressions were derived on the basis of field observa-tions of only five depillaring sites of Indian coalfields and there-fore availability of more field data may further improve thereliability of these relationships with possible modifications.
A field study, similar to [1], of development of mining inducedstress over pillars (with face advance) in and around depillaring(caving) operations was conducted [7] at different mines ofdifferent coalfields of the country. All these depillaring panels
Table 5Caveability index of roof formations of Johila seam of Nowrozabad East colliery.
Name of
formations
Thickness of
bed (m)
Avg. length of
core (cm)
Comp. strength
(MPa)
Cav.
index (I)
MGSST 2.42 20.2 8.09 698.5
FGSST 0.96 15.0 31.66 1243.2
MGSST 0.95 47.5 18.85 2616.6
Intercalation 1.92 27.4 23.25 2507.8
Shaly Coal 0.5 –
Intercalation 2.53 28.1 27.01 3436.0
Coal 0.06 5.0 –
Intercalation 2.38 18.3 19 1462.7
MGSST 0.4 20.0 –
Carb.Shale 2.39 26.6 31.46 3653.7
Coal 0.29 10.0 –
Shale 0.18 17.0 –
MGSST 3.59 25.6 15.01 2055.9
Intercalation 0.65 20.0 27.94 1238.9
FGSST 1.6 22.9 18.47 1488.2
Shale 0.27 13.0 –
Intercalation 0.37 29.0 22.08 1111.6
Shaly Coal 0.55 28.28
Intercalation 3 11.0 28.81 1421.8
Conglomerate 5 39.08
MGSST: medium grained sandstone; FGSST: fine grained sandstone.
A.K. Singh et al. / International Journal of Rock Mechanics & Mining Sciences 48 (2011) 805–818812
adopted intermediate mechanization (drilling, blasting and load-ing by machine) and diagonal line of extraction (dip to rise),except Anjan Hill mine. A straight line of extraction by a fullymechanized mining system utilizing continuous miner and shut-tle car combination is adopted at Anjan Hill mine. Even monitor-ing of development of mining induced stress at this mine wasdone almost continuous in time with the help of a microprocessorbased data logger. In general, liquidation of a pillar adoptedsplitting and slicing, leaving 2 m thick rib against the goaf.However, for the study purpose, width to height (w/h) ratio ofthe first instrumented stook/rib in a panel was kept, at least, threeto provide a strength equal to five times of overlying rockpressure i.e., 5gH (g is generic unit weight). Size of the secondinstrumented stook/rib in the panel, to be left inside goaf, wasvaried in the same observation panel depending upon theperformance of the first instrumented rib/stook. On the basis ofthese experiences, size of the instrumented stooks/pillars duringthe experiment at different selected sites varied to bear 3gH to7gH stress.
Our earlier attempt [1] was based on study at only five sites ofdepillaring with caving, while this study of nearly 4 years of timespan covered 16 (Table 4) different depillaring panels of differentmines. Average depth of cover of these sites varied from 44 and244 m, where nearly 150 vibrating wire stress meters wereinstalled at different selected observation stations before com-mencement of depillaring in the panel. The selected sites for thisstudy were practically free from major geotechnical disturbancesand all the coal seams were nearly flat (except four at SRP-1, SRP-3A, SRP-3 and RK-8 mines). It is also seen that the selected panelswere wide enough (generally of super-critical nature) [44] toexperience complete caving of overlying rock strata. To reduce thebarrier effect, the observation sites were selected from the middlerow of the pillars and their positions were chosen in such a waythat they were expected to experience maximum abutmentloading during depillaring in the panel. Stress meters (vibratingwire type) were installed in a horizontal hole drilled across eachselected pillar. The position of a stress meter inside the pillar waschosen in such a way that they remain, generally, in the center ofthe stooks/ribs after splitting and stooking/slicing of the originalpillars. The depth of these stress meters inside the hole variedbetween 1 and 7 m depending upon the final size of the stooks/ribs to be left for the observation. Instrumented stations remainedstationary and the extraction face overtook all these stations withincrease in dimension of the excavation.
Maximum amount of mining induced stress is, generally,noticed during the first main fall. Therefore, the stress meters
Table 4Details of mines where field investigations were conducted for the study.
Name of colliery Name of area and
company
Average height of
working (m)
Gradien
the seam
Somna Hasdeo area, SECL 1.9 1 in 21.3
Rajnagar Hasdeo area, SECL 2.6 1 in 13.4
S. Jhimar Hasdeo area, SECL 2.3 1 in 37
Nowrozabad Johila area, SECL 3.5 1 in 7
Churcha West Baikunthpur area, SECL 3.0 1 in 13
Chirimiri (Bartunga Hill) Chirimiri area, SECL 12.5 1 in 182
Madhusudanpur Kajora area, ECL 7 1 in 18
Alkusa Kustore area, BCCL 6.7 1 in 10
SRP-1 incline Srirampur (P) area, SCCL 2.0 1 in 2.5
SRP-3A incline Srirampur (P) area, SCCL 6.0 1 in 3
SRP-3 incline colliery Srirampur (P) area, SCCL 1.8 1 in 3
RK-8 incline Srirampur (P) area, SCCL 1.8 1 in 4
GDK-8 incline RG2 area, SCCL 10.5 1 in 9
Anjan Hill Chirimiri area, SECL 3.9 1 in 30
GDK-5 incline RG1 area, SCCL 4.0 1 in 5.5
GDK-2 incline RG1 area, SCCL 1.6 1 in 4.5
were placed in the panel to pick up the stress change during thestrata equilibrium dynamics of first major fall. Further, the depthof cover of the depillaring face also affected the performance ofthe natural support because the pillars at deeper mines encoun-tered side spalling during depillaring. The depth of the stressmeter inside the selected pillar was adjusted accordingly inadvance during instrumentation. To observe the nature andamount of mining induced stress across the pillar, a number ofstress meters were placed at certain intervals inside the horizon-tally drilled hole across the pillar. However, after some experiencethis practice was terminated looking at the consumption of theinstrument and the stress meters were installed in such a way topick up the maximum amount of stress. All monitoring, exceptAnjan Hill mine, were done manually with the help of a read outunit and thus so many times it could not be possible to pick themaximum value of the mining induced stress during the dynamicloading. However, up to some extent, application of a number ofinstruments for this purpose and analysis of the obtained data byCombined-Instruments-Approach (CIA) [28] is attempted toaddress this issue.
t of Name of
seam
Nature of goaf treatment Average depth
cover (m)
Name of
panel
C Caving 77 S7
4A Caving 172.5 7
Jhagrakhand 4A Caving 48 S11
Johilla Caving 80 TE—14
V Caving 244 65LW
Zero Caving 91 K1
Kajora top Caving 40 K-12(B)
IX Caving 238 7
3B Caving 95 3BS4
1 Caving 102.5 1S2
3A Caving 73.5 3AS1/A
4 Caving 65 4S2/A
3 Caving 252.5 BG1/6
Zero Caving 93.5 C
4 Caving 44.3 4S/8
3A Caving 235 33C
A.K. Singh et al. / International Journal of Rock Mechanics & Mining Sciences 48 (2011) 805–818 813
The characteristics of roof rock mass of each of these sites wereevaluated with the help of core samples procured through bore holedrilling. Core samples of, generally, ten times of thickness of the coalseam were obtained from the roof strata at each site. During loggingof the procured core samples, length of each and every piece of corewas measured to find the average length of core of each roofformation. All the procured core samples were brought to thelaboratory and tested for their physico-mechanical properties, which
y = 56.857eR² = 0.9538
0
10
20
30
40
50
60
70
80
0 10 20 30 40 50 60 70 80
Ver
tica
l str
ess
(MP
a x0
.1)
Goaf edge distance (m)
GDK8 Colliery
y = 39.993eR² = 0.8186
0
20
40
60
80
100
120
Ver
tica
l str
ess
(MP
a x0
.1)
Goaf edge d
Anjan Hill
y = 16R² =
0
40
80
120
160
200
240
280
320
360
Ver
tica
l str
ess
(MP
a x0
.1)
Goaf edge
GDK2
y = 69.437eR² = 0.9349
01224364860728496
108120
Ver
tica
l str
ess
(MP
a x0
.1)
Goaf edge distance (m)
Somna Colliery
y = 70.996eR² = 0.8682
0
26
52
78
104
130
0
Ver
tical
stre
ss (
MP
a x0
.1)
Goaf edge d
Rajnagar C
y = 38.526eR² = 0.974
05
1015202530354045
0
Ver
tica
l str
ess
(MP
a x0
.1)
Goaf edge distance (m)
Nowrozabad Colliery
y = 47.542eR² = 0.783
03672
108144180216252288324360
0
Ver
tica
l str
ess
(MP
a x0
.1)
Goaf edge
Churcha West
y = 10.299eR² = 0.9035
0
3
6
9
12
15
Ver
tica
l str
ess
(MP
a x0
.1)
Madhusudanpur Colliery
y = 114.43eR² = 0.59
022446688
110132154176198220
0
Ver
tica
l str
ess
(MP
a x0
.1)
Goaf edge d
Alkusa
y = R
05
1015202530354045
Ver
tica
l str
ess
(MP
a x0
.1)
Goaf edge d
SRP3A
y = 31.541eR² = 0.9113
0
5
10
15
20
25
30
35
40
45
0 5 10 15 20 25 30 35 40 45
Ver
tica
l str
ess
(MP
a x0
.1)
Goaf edge distance (m)
SRP3 Colliery
5 10 15 20 25 30 10 20 30 40 50 60
10 20 30 40 50 60 70
0 10 20 30
80
0
Goaf edge distance (m)
10 20 30 40 50 60 70 80 90
40 80
14 28 42 56 7
0 5 10 15 20 2
0 5 10 15 20 25 3
Fig. 9. Variation of mining induced stress (vertical) with respect to face position (aft
coalfields along with an exponential fitting curve and equation to each plot.
provided the idea of the strongest bed. Caveability index of each roofformation is determined by using Eq. (11).
For a massive formation of overlying strata, caveability indexestimation of different stratum within the ten times thickness rangewas not difficult due to presence of limited number of laminates.However, in the case of highly laminated roof strata, it becamedifficult and unreasonable to consider the index of each layer. In thissituation, the weighted average of only five thicker-most layers was
y = 15.664eR² = 0.9548
0
2
4
6
8
10
12
14
16
18
Ver
tica
l str
ess
(MP
a x0
.1) GDK5 Colliery
y = 6.544eR² = 0.9708
0
1
2
3
4
5
6
7
0
Ver
tica
l str
ess
(MP
a x0
.1)
Goaf edge distance (m)
South Jhimar Colliery
y = 83.932eR² = 0.8793
020406080
100120140160
Ver
tica
l str
ess
(MP
a x0
.1)
Goaf edge distance (m)
Bartunga Hill Colliery
y = 13.054eR² = 0.8947
0
4
8
12
16
20
Ver
tica
l str
ess
(MP
a x0
.1) SRP1 Colliery
y = 19.619eR² = 0.9193
0
3
6
9
12
15
18
21
24
27
Ver
tica
l str
ess
(MP
a x0
.1)
RK8 Colliery
istance (m)
Colliery
5.09e 0.8877
distance (m)
Colliery
istance (m)
olliery
distance (m)
Colliery
12
istance (m)
Colliery
36.065e² = 0.8836
istance (m)
Colliery
0 35 40 45 50 55 60 5 10 15 20 25 30
0 10 20 30 40 50 60 70
Goaf edge distance (m)0 10 20 30 40 50 60 70
Goaf edge distance (m)0 10 20 30 40 50 60 70
40 50 60 70
80
120 160 200
0 84 98 112 126 140
5 30 35 40 45 50
0 35 40 45Goaf edge distance (m)
0 5 10 15 20 25 30 35 40 4550 55 60
er application of CIA [28] over the observed data) at different mines of different
A.K. Singh et al. / International Journal of Rock Mechanics & Mining Sciences 48 (2011) 805–818814
considered for the analysis purposes. On the basis of experience ofcaveability study of different coalfields, it was also made mandatorythat the total thickness of these five layers must be more than five
0
5
10
15
20
25
30
0Ver
tica
l str
ess
(MP
a x
0.1)
Goaf edge distance (m)
Girmit Colliery
020406080
100120
0Ver
tica
l str
ess
(MP
a x
0.1)
Goaf edge distance (m)
East-katras Colliery
0
10
20
30
40
50
60
Ver
tica
l str
ess
(MP
a x
0.1)
Goaf edge distance (m)
Parascole Colliery
5 10 15 20 25 30 35
10 20 30 40 50 60
0 10 20 30 40 5
Fig. 10. Variation of mining induced stress (verti
Table 6Summary of results obtained through field observations.
Colliery Depth
(m)
Ultimate induced
stress (MPa)
Caveability
index
Range of
influence (m)
Somna 77 11.8 4433 55
Rajnagar 172.5 12.4 3190 60
S Jhimar 48 0.688 1194 20
Nowrozabad 80 3.7 2208 60
Churcha 244 36.2 9168 200
Bartunga Hill 91 14.6 4386 70
Mahusudanpur 40 1.3.7 1845 40
Alkusa 238 21.3 4000 130
SRP-1 95 1.6 2432 40
SRP-3A 102.5 4.1 2687 50
SRP3 73.5 3.9 3500 30
RK-8 65 2.5 4223 55
GDK-8 252.5 7.1 5102 65
Anjan 93.5 9.8 4181 60
GDK-5 44.3 1.6 2766 50
GDK-2 235 34.3 5847 70
times of the height of extraction otherwise more layers wereconsidered to fulfill this criterion. An example of caveability indexestimation of different strata for a laminated roof formation of Johilaseam, Nowrozabad colliery, SECL is given in Table 5. The final valueof caveability index of the Johila seam, Nowrozabad colliery came to2208.3 as per the above mentioned criterion. Similar exercise wasconducted for each studied site for estimation of representativevalue of caveability index.
6. Results and discussion
As envisaged, the observed value of mining induced stressincreased with decrease in its distance from the face position andthe variations observed at all the selected sites are shown inFig. 9. In general, maximum value of the stress is observed duringmain roof fall. The estimated values of caveability index (I) andobserved maximum values of induced stress (ultimate inducedstress, Su) at each observational site are shown in Table 6. Resultsof the previous six studies [1] of depillaring faces (caving) areshown in Fig. 10. Values of caveability index (I) and ultimateinduced stresses of these sites are given in Table 7. Even afterextension of connecting cables of the stress meters to a safe place,
0
20
40
60
80
100
120
140
0
Ver
tica
l str
ess
(MP
a x
0.1)
Goaf edge distance (m)
Lachhipur Colliery
y = 58.442e-0.212x
R² = 0.9069
0
10
20
30
40
50
60
70
0
Ver
tica
l str
ess
(MP
a x
0.1)
Gooaf edge distance (m)
Madhusudanpur colliery
0
20
40
60
80
100
Ver
tica
l str
ess
(MP
a x
0.1)
Goaf edge distance (m)
Govinda Colliery
10 20 30 40 50 60 70 80
10 20 30
0
0 10 20 30 40 50
cal) with respect to face position (after [1]).
Table 7Geo-mining indices of the sites studied earlier (after [1]).
Name of colliery Name of seam Average height of
working (m)
Average depth
cover (m)
Nature of goaf
treatment
Cavaebility
Index
Range of
influence (m)
Ultimate induced
stress (MPa)
Lachhipur Sonachora 3.4 109 Caving 4817 50 13.3
Girmit Rana 3.0 54 Caving 2531 20 1.66
Parascole Upper Kajora 4.5 60 Caving 3135 30 4.71
East-katras X seam 2.5 146 Caving 3598 40 10.1
Govinda Mid. Kotma 3.0 50 Caving 4512 45 7.08
y = 35.612e-0.05x
R² = 0.9484
0
10
20
30
40
50
60
70
0
Ver
tica
l str
ess
(MP
a x
0.1)
Distance from goaf edge (m)
H < 200m
10 20 30 40 50 60 70 80 90
Fig. 11. Mining induced stress variation during depillaring at shallow cover
(deptho200 m).
H > 200 m
y = 66.596e-0.016x
R² = 0.8331
0
40
80
120
160
200
0 25 50 75 100 125 150 175 200 225V
erti
cal s
tres
s (M
Pa
x 0.
1)
Goaf edge distance (m)
Fig. 12. Mining induced stress variation during depillaring at deeper cover
(depth4200 m).
R² = 0.790
0
100
200
300
400
0
Ult
imat
ein
duce
dst
ress
(MP
a x
0.1)
Depth (m)50 100 150 200 250 300
Fig. 13. Variation of ultimate induced stress with depth cover.
A.K. Singh et al. / International Journal of Rock Mechanics & Mining Sciences 48 (2011) 805–818 815
observations of most of the stress meters were challenging andremained incomplete after an encounter of the hazardous condi-tions in and around caving faces. This situation, more or less, iscommon for all the selected sites but the observations at GDK-8Incline became erratic and incomplete quite early and quickreplacement could not be done. Therefore, the stress observationsof GDK-8 Incline are not considered for further analysis.
Most of the selected observation sites were at shallow depth ofcover because, still majority of the pillar extraction practices inIndia, is situated in this zone only. On the basis of field experiences,the demarcation line for shallow and deeper mine is considered tobe 200 m. Accordingly, the obtained results are divided into twoparts. Averaged values of mining induced stress for all the mineswith depth less than 200 m are combined and presented together inFig. 11 while those for deeper mines (4200 m) are shown in Fig. 12.Although the nature of stress developments is broadly divided intotwo depth cover zones, it is important to note that the nature andamount of stress development (Figs. 9 and 10) is site specific.
6.1. Influencing parameters
Height of extraction during depillaring influences the bulkingcharacteristic of caved material and also affects the heights ofcaved and fractured zones of overlying strata inside the goaf. But,in field, it was difficult to study the influence of height ofextraction over the development of mining induced stress devel-opment. The operational mining parameters are, more or less,kept same for all the observed sites, it is only depth of cover andcharacteristic of overlying roof strata, mainly, influenced thenature and amount of the stress development.
6.1.1. Impact of depth cover
Depth cover has already been identified [15,45] as a significantparameter for the development of mining induced stresses. Depthof cover influences the in situ stress condition, depositional
compactness of the strata and geo-physical properties of rockmass. According to a well-established norm of Indian Coal MinesRegulations, the pillar size of Indian coal mines increases with theincrease of depth cover. It is observed that the roof strata of arelatively deeper mine, Alkusa (caveability index 4000) exerted21.2 MPa ultimate induced stress, while that for the roof strata ofSomna (having similar caveability index; 4433 but shallower) wasonly 11.8 MPa. The variation of observed ultimate induced stresswith depth of cover for above mentioned mines is shown inFig. 13, while Fig. 14 represents variation of range of influencewith depth of cover for these mines.
6.1.2. Impact of overlying strata
It is reported and observed that the quantitative and qualita-tive nature of the mining induced stress is dependent upon the
R² = 0.562
0
50
100
150
200
250
0
Ran
ge o
f in
flue
nce
(m)
Depth cover (m)
50 100 150 200 250 300
Fig. 14. Variation of range of influence with depth cover.
R² = 0.737
0
40
80
120
160
200
0
Ult
imat
e in
duce
d st
ress
(MP
a x
0.1)
Caveability index
2000 4000 6000 8000 10000
Fig. 15. Variation of ultimate induced stress with caveability index.
R² = 0.620
0
50
100
150
200
250
0 2000 4000 6000 8000 10000
Ran
ge o
f in
flue
nce
(m
)
Caveability index
Fig. 16. Variation of range of influence with caveability index.
0
20
40
60
80
100
120
140
160
Somna
Rajnagar
S Jhimar
Now
rozabad
Chirim
iri
Madhusudanpur
SRP-1
SRP-3A
SRP-3
RK
-8
Anjan H
ill
GD
K-5
Lachipur
Girm
it
Parascole
Eastkatras
Govinda
Ult
imat
e in
duce
d st
ress
(M
Pa
x 0.
1)
Observed value
Estimated value
Fig. 17. Comparison between observed and estimated values of ultimate induced
stress (deptho200 m).
A.K. Singh et al. / International Journal of Rock Mechanics & Mining Sciences 48 (2011) 805–818816
properties of the overlying rock strata [1,15]. As per our practicalexperiences and different correlation studies, the characteristic ofoverlying strata is represented by caveability index (Eq. (11)).Field investigations conducted at Govinda and South Jhimarcolliery had nearly same depth of cover but their caveabilityindexes were observed to be 4512 and 1194, respectively. Thevalue of ultimate induced observed at Govinda mine is 7.08 MPawhile that at South Jhimar colliery is 0.69 MPa only. Even there isconsiderable difference in observed range of influences at thesetwo sites. The variation of ultimate induced stress and range ofinfluence with the caveability index for the observed mines areshown in Figs. 15 and 16, respectively.
6.2. Data analysis
Fifteen sets of new data of ultimate induced stress and range ofinfluence were obtained through the field investigations in andaround depillaring faces. Statistical correlation did not allowinclusion of results of three mines; Churcha West, Alkusa andGDK-2, probably due to higher depth of cover region. However,inclusion of results of the five previously studied sites [1] isaccepted and increased the amount of data. These data weresubjected to multi variant regression analysis to establish arelationship for the estimation of the ultimate induced stress
(Su) over a coal pillar against caved goaf. The adopted analysisresulted an expression for Su which can be written as
Su ¼ 0:025Hþ8:646� 10�4HI0:5 MPa ðfor Ho200mÞ ð13Þ
where H is the depth of cover and I is the caveability index.A comparison of the values of ultimate mining induced
stresses derived from Eq. (13) and those observed in the fieldare given in Fig. 17. This plot shows the largest disagreementbetween the two values for Chirimiri mine. In fact, depillaring atChirimiri mine experienced an entirely different type of stratamovement because the mining was done below a hill cap [46]with rapid change in depth of cover and the coal seam was placedabove the surrounding ground level. The observed values ofultimate induced stress at all the four mines; SRP-1, SRP-3A,SRP-3 and RK-8 are quite less than those of the estimated values,probably due to seam gradient reason.
Estimation of range of influence for application of advancesupport ahead of a depillaring face is done as per Sheorey’s model[17], which is based on depth of cover only. Above discussedresults suggest that the consideration of nature of roof strata anddepth of cover, both, may provide a better estimation. Accord-ingly, these two factors were considered for analysis resulting anexpression for the range of influence (R) as
R¼ 0:16Hþ9:63� 10�3Im ðfor Ho200mÞ ð14Þ
Fig. 18 presents a comparison of the values of range ofinfluence (R) derived from Eq. (14) and those observed in the field.
0
10
20
30
40
50
60
70
80
Somna
Rajnagar
S Jhimar
Now
rozabad
Chirim
iri
Madhusudanpur
SRP-1
SRP-3A
SRP-3
RK
-8
Anjan H
ill
GD
K-5
Lachipur
Girm
it
Parascole
Eastkatras
Govinda
Ran
ge o
f in
flue
nce
(m)
Observed value
Estimated value
Fig. 18. Comparison between observed and estimated values of range of influence
(deptho200 m).
A.K. Singh et al. / International Journal of Rock Mechanics & Mining Sciences 48 (2011) 805–818 817
7. Conclusions
The development of mining induced stress is observed to be a sitespecific phenomenon, which is being strongly influenced by thedepth of cover as well as nature of overlying strata. It is observedthat the role of monitoring of mining induced stress during depillar-ing under massive and strong roof is of considerable importance forsafety. Selection of number, place, range and pattern of instrumentsfor the monitoring is observed to be a challenging task due tocomplex interaction of roof strata with pillar/stooks in and around adepillaring face. Variation in geo-mining conditions of different sitesenhances the magnitude of this challenge. However, considering thepractical mining conditions of Indian coalfields, an attempt is madefor estimation of mining induced stress development ahead of adepillaring face of Indian coal mines at shallow cover. In fact, Indiancoal mining practices in last couple of decades have resulted lockingof considerably large amount of coal in pillars. The planned quantumjump in coal production strategy by Indian coal mining industry is,mainly, dependent upon the success of a pillar extraction process.The reported investigation and correlation of the obtained resultsmay be of some use for improvement in design and safety of theplanned underground pillar extraction program.
Acknowledgments
The authors are obliged to the Director, CIMFR, for hispermission to publish this paper. Amit Kumar Singh and SahendraRam, Senior Scientific Assistants, CIMFR provided considerablehelp in field work. The co-operation provided by the managementof different coal companies during the field study is thankfullyacknowledged. The study reported in this paper is based on aScience and Technology (S&T) project funded by the Ministry ofCoal (Government of India) and supported by Central MinePlanning and Design Institute Limited of Coal India Limited. Theviews expressed in the paper are those of the authors, and notnecessarily of the institute to which they belong.
References
[1] Singh R, Singh TN, Dhar BB. Coal pillar loading for shallow mining conditions.Int J Rock Mech Min Sci 1996;33(8):757–68.
[2] Sheorey PR. A theory for in situ stress in isotropic and transversely isotropicrock. Int J Rock Mech Min Sci 1994;31(1):23–34.
[3] Dixit MP, Mishra K. A unique experience of on shortwall mining in Indian coalmining industry. In: Proceedings of the third Asian mining congress, MGMI,Kolkata, 2010. p. 25–37.
[4] Gupta RN, Ghose AK. Strata support interaction on a powered supportlongwall face under a massive dolerite sill—a study. In: Proceedings of the
11th international conference on ground control in mining, Wollongong,1992. p. 140–9.
[5] Sheorey PR, Barat D, Mukherjee KP, Prasad RK, Das MN, Banerjee G, et al.Application of yield pillar technique for successful depillaring under stiffstrata. Int J Rock Mech Min Sci 1995;32(7):699–708.
[6] Singh R. Staggered development of a thick coal seam for full height workingin single lift by blasting gallery method. Int J Rock Mech Min Sci 2004;41(5):745–59.
[7] CMRI Report. Development of a model vis-�a-vis study of parameters influen-cing abutment loading of pillars at a depillaring face of shallow depth coverand under massive roof strata, 2004. p. 1–120.
[8] Hoch T, Karabin G, Kramer J. MSHA’s simple technique for predicting thestress distribution in a mine panel. MSHA Report, 1991, p. 1–64. ohttp://www.msha.gov/S&HINFO/TECHRPT/ROOF/MSHA/-ESE.pdf4 .
[9] Sellers JB. The measurement of stress changes in rock using the vibrating wirestress meters. In: Proceedings of the international field measurements in rockmechanics, Zurich, 1977. p. 275–88.
[10] Majumder S, Chakrabarty S. The vertical stress distribution in a coal side of aroadway—an elastic foundation approach. Min Sci Technol 1991;12(1991):233–40.
[11] Jaiswal A, Sharma SK, Shrivastva BK. Numerical modeling study of asymme-try in the induced stresses over coal mine pillars with advancement of thegoaf line. Int J Rock Mech Min Sci 2004;41(5):859–64.
[12] Mathur RB. Strata mechanics behind the failure of PSLW face at ChurchaWest Colliery, SECL. In: Proceedings of the sixth national symposium,Bangalore, 15–17 October 1992. p. 59–73.
[13] Maleki H. In situ pillar strength and failure mechanism for US coal seams. In:Proceedings of the workshop on cal pillar mechanics and design, Santa Fe, USBur Mines, Information Circular (IC) 9315, 1992. p. 73–7.
[14] Gale WJ. The application of field and computer methods for pillar design inweak ground. In: Proceedings of the international conference on ground controlin mining and underground construction, Wollongong, 1998. p. 243–61.
[15] Yavuz H. An estimation method for cover pressure re-establishment distanceand pressure distribution in the goaf of longwall mines. Int J Rock Mech MinSci 2004;41(2):193–205.
[16] Singh CS, Shrivastva BK, Dhar BB. The design of longwall mining system in ajointed rock mass. Coal International 1999;127–9.
[17] Sheorey PR. Design of coal pillar arrays and chain pillars. In: Hudson JA,editor. Comprehensive rock engineering. Oxford: Pergamon; 1993.
[18] Wilson AH. Pillar stability in longwall mining. In: Chugh YP, Karmis M,editors. Proceedings of the state of the art of ground control in longwallmining and mining science. New York: SME; 1982. p. 85–95.
[19] Mukherjee C, Sheorey PR, Sharma KG. Numerical Simulation of caved goafbehaviour in longwall workings. Int J Rock Mech Min Sci 1994;31(1):35–45.
[20] Wanger H. Pillar design in coal mines. J S Afr Inst Min Metall 1980;81:37–45.[21] Lunder PL, Pakalnis RC. Determination of the strength of hard-rock mine
pillars. CIM Bull 1997;90(1013):51–5.[22] Fang Z, Harrison JP. Numerical analysis of progressive fracture and associated
behavior of mine pillars by use of a local degradation model. Trans Inst MinMetall (Sec A Min Technol) 2002;111:A59–72.
[23] Jayanthu S, Singh TN, Singh DP. Stress distribution during extraction of pillarsin a thick coal seam. Rock Mech Rock Eng 2004;37(3):171–92.
[24] Esterhuizen GS, Dolinar DR, Ellenberger JL. Observations and evaluation offloor benching effects on pillar stability in US limestone mines. In: Proceed-ings of the first Canada–US rock mechanics symposium, Vancouver, 2007. p.1447–53.
[25] Singh R, Mandal PK, Singh AK. Mining induced stress estimation for pillarextraction at shallow cover. In: Proceedings of the ISRM congress 2003,SAIMM, Sandton, South Africa, 2003. p. 1087–91.
[26] Kumar R, Singh AK, Mandal PK, Singh R. Stability of pillars during under-ground extraction of thick coal seam in single lift-case studies. Minetech2007;28(1):3–10.
[27] Shen B, King A, Guo H. Displacement, stress and seismicity in roadway roofsduring mining-induced failure. Int J Rock Mech Min Sci 2008;45(5):672–88.
[28] Singh R, Singh AK, Maiti J, Mandal PK, Singh R, Kumar R. An observationalapproach for assessment of dynamic loading during underground coal pillarextraction. Int J Rock Mech Min Sci, this issue. doi:10.1016/j.ijrmms.2011.04.003.
[29] Sheorey PR. Pillar strength considering in situ stresses. In: Proceedings of theworkshop on cola pillar mechanics and design, IC 9315, bureau of mines,1992. p. 122–7.
[30] Singh R, Mandal PK, Singh AK, Singh TN. Cable bolting based mechaniseddepillaring of a thick coal seam. Int J Rock Mech Min Sci 2001;38(2):245–57.
[31] Zou DHS, Yu C, Xian X. Dynamic nature of coal permeability ahead of alongwall face. Int J Rock Mech Min Sci 1999;36:693–9.
[32] Salamon MDG. Elastic analysis of displacements and stress induced by themining of seam or reef deposits, Part II. J S Afr Inst Min Metall 1964;64(6):197–218.
[33] Mark C. Analysis of longwall pillar stability (ALPS): an update. In: Proceed-ings of the workshop on coal pillar mechanics and design, IC 9315, bureau ofmines, 1992. p. 238–49.
[34] Mark C, Chase FE. Analysis of retreat mining pillar stability (ARMPS). In:Proceedings of the new technology for ground control in retreat mining,NOISH: IC 9446, 1997. p. 17–34.
[35] Colwell M, Frith R, Mark C. Analysis of longwall tailgate serviceability (ALTS):a chain pillar design methodology for Australian conditions. In: Proceedings
A.K. Singh et al. / International Journal of Rock Mechanics & Mining Sciences 48 (2011) 805–818818
of the second international workshop coal pillar mechanics and design,NOISH: IC 9448, 1999. p. 33–48.
[36] Heasley KA. Numerical modeling of coal mines with a laminated displace-ment discontinuity code. PhD thesis. Colorado School Mines, Golden, USA;1998.
[37] Heasley KA. The forgotten denominator, pillar loading. In: Proceedingsof the fourth North American rock mechanics symposium, Seattle, 2000.p. 457–64.
[38] Poulsen BA. Coal pillar load calculation by pressure arch theory and near fieldextraction ratio. Int J Rock Mech Min Sci 2010;47(7):1158–65.
[39] Abel JJF. Soft rock pillars. Int J Min Geol Eng 1988:215–48.[40] Mandal PK, Singh R, Maiti J, Singh AK, Kumar R, Sinha A. Underpinning based
simultaneous extraction of contiguous sections of a thick coal seam underweak and laminated parting. Int J Rock Mech Min Sci 2008;45(1):11–28.
[41] Sheorey PR. Empirical rock failure criteria. Rotterdam: Balkema; 1997.
[42] Murali Mohan G, Sheorey PR, Kushwaha A. Numerical estimation of pillarstrength in coal mines. Int J Rock Mech Min Sci 2001;38:1185–92.
[43] Mandal PK. Development of a methodology for underground extraction ofcontiguous and thick contiguous seams/sections under weak and laminatedparting. PhD thesis, Department of Mining Engineering, Bengal Engineeringand Science University, 2009.
[44] Sheorey PR, Loui JP, Singh KB, Singh SK. Ground subsidence observations andmodified influence function method for complete subsidence prediction. Int JRock Mech Min Sci 2000;37:801–18.
[45] Li HC, Wang QP, Quan YPA. Study on stress distribution and reasonable size ofcoal pillar in a coal face. In: Proceedings of the 11th international conferenceon ground control in mining, Wollongong, 1992. p. 30–7.
[46] Singh R, Mandal PK, Singh AK, Kumar R, Maiti J, Ghosh AK. Upshot of stratamovement during underground mining of a thick coal seam below hillyterrain. Int J Rock Mech Min Sci 2008;45(1):29–46.