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Technical note Safety of engineered structures against blast vibrations: A case study G.R. Tripathy * , R.R. Shirke, M.D. Kudale Vibration Technology Division, Central Water & Power Research Station, Khadakwasla, Pune 411024, India article info Article history: Received 3 August 2015 Received in revised form 26 October 2015 Accepted 27 October 2015 Available online 27 January 2016 Keywords: Engineered structures Safe vibration levels Attenuation relation Safe charges Blasting pattern abstract Blasting used for rock excavation is associated with ground vibrations having potential damage to sur- rounding structures. The extent of damage produced in a structure depends largely on ground motion characteristics, dynamic characteristics of structure and the type of geological strata on which it is founded. The safety of surrounding structures against blast vibrations is a cause of concern. However, use of a systematic approach to rock blasting helps to complete the excavation safely in time without endangering the safety of surrounding structures. Various steps are commonly adopted at construction sites to ensure safety of engineered structures against blast vibrations, e.g. adopting a suitable safe vi- bration level, developing site-specic attenuation relation, estimating safe charges for different dis- tances, designing blasting pattern, and monitoring vibrations during actual blasting. The paper describes the details of studies conducted for ensuring safety of an 85 years old masonry dam and green concrete of varying ages during excavation of about 30,000 m 3 of hard rock in Maharashtra, India. The studies helped to complete the rock excavation safely in time and the safety of the dam was ensured by monitoring blast vibrations during actual rock excavation. Ó 2016 Institute of Rock and Soil Mechanics, Chinese Academy of Sciences. Production and hosting by Elsevier B.V. All rights reserved. 1. Introduction Blasting is used as an economical tool for rock excavation in construction, quarry and mining projects. However, a part of the explosive energy is always exhibited in the form of elastic waves during rock excavation by blasting. These waves traveling in all directions from the blasting site give rise to ground vibrations, which in excess may cause damage to the nearby structures (Ak et al., 2009; Elevli and Arpaz, 2010; Nateghi, 2011). Completion of excavation work without endangering the safety of surrounding structures is of great concern to all. Ground vibration is mainly affected by various blast design parameters, distance between the blast and observation points, geological characteristic properties of the rock mass and explosive characteristics (Elevli and Arpaz, 2010; Liang et al., 2011). Blast-induced ground vibrations are character- ized by two important parameters, i.e. the peak particle velocity (PPV) and frequency. The damage potential of ground vibrations is largely quantied either in terms of only PPV (Edwards and Northwood, 1960; Duvall and Fogelson, 1962; Chae, 1978; Esteves, 1978; Langefors and Kihlstrom, 1978) or PPV and its associated frequency (Siskind et al., 1980; Dowding, 1985; BS 7385, 1993; Khandelwal and Singh, 2006; Ozer, 2008). Therefore, prediction of ground vibration levels at different distances from blasting location, assessment of their impact on surrounding structures and various means used to minimize ground vibration levels play important roles in successful application of drilling and blasting for rock excavation in construction, quarry and mining projects. Over the last six decades, Central Water & Power Research Station (CWPRS), Pune, India has been associated with several case studies involving rock excavation at different construction sites close to various engineered structures such as gravity dams, bridges, tunnels, nuclear power houses, etc. The experiences helped to outline the general methodology of blasting to ensure safety of structures against blast vibrations. In this methodology of blasting, safe vibration level that a structure could withstand without pro- ducing any damage is adopted, attenuation relations describing propagation characteristics of blast vibrations are developed, safe charge weight per delay for different distances is estimated, and the blasting pattern used for rock excavation is optimized based on eld trials with vibration monitoring. This methodology has been successfully used in a number of construction projects to ensure the safety of a wide spectrum of structures including engineered structures, residential and commercial buildings in urban areas, village houses, historical monuments, etc. The use of this general- ized method not only helps to ensure the safety of structures against blast vibrations but also is equally effective in minimizing other unwanted effects associated with blasting such as airblast, yrock, over-breakage. The paper describes in detail the application of this generalized methodology for excavation of about 30,000 m 3 * Corresponding author. Tel.: þ91 02024103328. E-mail address: [email protected] (G.R. Tripathy). Peer review under responsibility of Institute of Rock and Soil Mechanics, Chinese Academy of Sciences. 1674-7755 Ó 2016 Institute of Rock and Soil Mechanics, Chinese Academy of Sciences. Production and hosting by Elsevier B.V. All rights reserved. http://dx.doi.org/10.1016/j.jrmge.2015.10.007 Contents lists available at ScienceDirect Journal of Rock Mechanics and Geotechnical Engineering journal homepage: www.rockgeotech.org Journal of Rock Mechanics and Geotechnical Engineering 8 (2016) 248e255

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Page 1: Safety of engineered structures against blast vibrations ... · Blasting is used as an economical tool for rock excavation in construction, quarry and mining projects. However, a

able at ScienceDirect

Journal of Rock Mechanics and Geotechnical Engineering 8 (2016) 248e255

Contents lists avail

Journal of Rock Mechanics andGeotechnical Engineering

journal homepage: www.rockgeotech.org

Technical note

Safety of engineered structures against blast vibrations: A case study

G.R. Tripathy*, R.R. Shirke, M.D. KudaleVibration Technology Division, Central Water & Power Research Station, Khadakwasla, Pune 411024, India

a r t i c l e i n f o

Article history:Received 3 August 2015Received in revised form26 October 2015Accepted 27 October 2015Available online 27 January 2016

Keywords:Engineered structuresSafe vibration levelsAttenuation relationSafe chargesBlasting pattern

* Corresponding author. Tel.: þ91 02024103328.E-mail address: [email protected] (G.R. TripaPeer review under responsibility of Institute o

Chinese Academy of Sciences.1674-7755 � 2016 Institute of Rock and Soil Mof Sciences. Production and hosting by Elsevier B.V. Ahttp://dx.doi.org/10.1016/j.jrmge.2015.10.007

a b s t r a c t

Blasting used for rock excavation is associated with ground vibrations having potential damage to sur-rounding structures. The extent of damage produced in a structure depends largely on ground motioncharacteristics, dynamic characteristics of structure and the type of geological strata on which it isfounded. The safety of surrounding structures against blast vibrations is a cause of concern. However, useof a systematic approach to rock blasting helps to complete the excavation safely in time withoutendangering the safety of surrounding structures. Various steps are commonly adopted at constructionsites to ensure safety of engineered structures against blast vibrations, e.g. adopting a suitable safe vi-bration level, developing site-specific attenuation relation, estimating safe charges for different dis-tances, designing blasting pattern, and monitoring vibrations during actual blasting. The paper describesthe details of studies conducted for ensuring safety of an 85 years old masonry dam and green concreteof varying ages during excavation of about 30,000 m3 of hard rock in Maharashtra, India. The studieshelped to complete the rock excavation safely in time and the safety of the dam was ensured bymonitoring blast vibrations during actual rock excavation.� 2016 Institute of Rock and Soil Mechanics, Chinese Academy of Sciences. Production and hosting by

Elsevier B.V. All rights reserved.

1. Introduction

Blasting is used as an economical tool for rock excavation inconstruction, quarry and mining projects. However, a part of theexplosive energy is always exhibited in the form of elastic wavesduring rock excavation by blasting. These waves traveling in alldirections from the blasting site give rise to ground vibrations,which in excess may cause damage to the nearby structures (Aket al., 2009; Elevli and Arpaz, 2010; Nateghi, 2011). Completion ofexcavation work without endangering the safety of surroundingstructures is of great concern to all. Ground vibration is mainlyaffected by various blast design parameters, distance between theblast and observation points, geological characteristic properties ofthe rock mass and explosive characteristics (Elevli and Arpaz, 2010;Liang et al., 2011). Blast-induced ground vibrations are character-ized by two important parameters, i.e. the peak particle velocity(PPV) and frequency. The damage potential of ground vibrations islargely quantified either in terms of only PPV (Edwards andNorthwood, 1960; Duvall and Fogelson, 1962; Chae, 1978; Esteves,1978; Langefors and Kihlstrom, 1978) or PPV and its associatedfrequency (Siskind et al., 1980; Dowding, 1985; BS 7385, 1993;

thy).f Rock and Soil Mechanics,

echanics, Chinese Academyll rights reserved.

Khandelwal and Singh, 2006; Ozer, 2008). Therefore, predictionof ground vibration levels at different distances from blastinglocation, assessment of their impact on surrounding structures andvarious means used to minimize ground vibration levels playimportant roles in successful application of drilling and blasting forrock excavation in construction, quarry and mining projects.

Over the last six decades, Central Water & Power ResearchStation (CWPRS), Pune, India has been associated with several casestudies involving rock excavation at different construction sitesclose to various engineered structures such as gravity dams,bridges, tunnels, nuclear power houses, etc. The experiences helpedto outline the general methodology of blasting to ensure safety ofstructures against blast vibrations. In this methodology of blasting,safe vibration level that a structure could withstand without pro-ducing any damage is adopted, attenuation relations describingpropagation characteristics of blast vibrations are developed, safechargeweight per delay for different distances is estimated, and theblasting pattern used for rock excavation is optimized based onfield trials with vibration monitoring. This methodology has beensuccessfully used in a number of construction projects to ensure thesafety of a wide spectrum of structures including engineeredstructures, residential and commercial buildings in urban areas,village houses, historical monuments, etc. The use of this general-ized method not only helps to ensure the safety of structuresagainst blast vibrations but also is equally effective in minimizingother unwanted effects associated with blasting such as airblast,flyrock, over-breakage. The paper describes in detail the applicationof this generalized methodology for excavation of about 30,000 m3

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G.R. Tripathy et al. / Journal of Rock Mechanics and Geotechnical Engineering 8 (2016) 248e255 249

of rock for providing energy dissipation arrangements to an 85years old masonry dam. The adopted methodology not only wasable to complete the rock excavation in time without affecting thesafety of the old dam as well as green concrete of different ages butalso would find useful applications in solving various issues asso-ciated with blasting at construction, quarry and mine sites.

2. Methodology

Blast studies for excavation of rock at a civil engineering projectsite are mainly concerned with establishing safety criteria, devel-oping site-specific attenuation relations for ground vibration, andpredicting the quantities of charge weight that could be usedwithout endangering the safety of nearby structures and theenvironment. The safe charges thus estimated are employed todesign the blasting patterns with suitable delay intervals so that themaximum explosive energy is utilized in breaking and displacingthe rock with the minimum unwanted effects, like ground vibra-tion, airblast and flyrock. In many cases, it is also desired to achievea smooth final surface at the perimeter of excavation. For thispurpose, the blasting pattern has to be supplemented with anappropriate technique, like line drilling, pre-splitting, smoothblasting or cushion blasting. The following steps were adopted inthe present study:

(1) Pre-blast survey was conducted for inspection and docu-mentation of the condition of the dam and to examine thetype of the rock to be excavated.

(2) Nine experimental blasts with varying charge weight perdelay (Q) were conducted at the actual excavation site. Theground vibration data were recorded at different distances(R) using three component engineering seismographs, andwere analyzed for PPV (VP) and predominant frequency ofthe ground motion.

(3) Six concrete cubes of M-15 grade were cast at site. Usingultrasonic pulse transmission technique, P-wave velocity forall the cubes was measured at different ages of curing (1.25e7 days).

(4) The vibration data obtained were analyzed by the leastsquare regression method to develop the empirical rela-tionship between the scaled distance R=

ffiffiffiffiQ

pand VP.

(5) Based on the information collected in steps (1)e(3), byreviewing the various safety criteria published in the litera-ture, site-specific safety criteria were established.

(6) Safe charge weights for different distances of excavationfrom the various structures around the blasting site wereestimated and used for design of the blasting patterns.

(7) During actual blasting operation, ground vibrations weremeasured on the dam and green concrete to ensure safety ofthese structures by modifications in blasting patterns, ifnecessary.

Fig. 1. Satellite image of Mulshi dam (Google earth satellite image).

3. Site description

The Mulshi dam is located at latitude 18.5441�N and longitude73.4650�E across the downstream confluence of two rivers, NilaNala and Mula, near Pune City in Maharashtra, India. The con-struction of 1533.38 m long and 48.8 m high dam, a stone masonrystructure in lime surkhi mortar, was completed in 1927 by the TataElectric Companies (TEC), Mumbai (CWC, 2014). After the devas-tating Killari earthquake on 30 September 1993 in the western partof Maharashtra, the damwas reinforced by providing 36 buttressesalong its length during 1995e1996. During this period, new rein-forced cement concrete (RCC) spillway with gated structure was

also provided. The spillway section of the dam is about 100.5 mlong and has seven radial gates. Over the period of time, the rocks inthe downstream side of the spillway gates have suffered deeperosion. To arrest further erosion in rocks, it was proposed to pro-vide energy dissipation arrangements in the stilling basin area,which requires excavation of about 30,000 m3 of hard rock. Fig. 1shows the satellite image of the Mulshi dam with newly con-structed energy dissipation arrangements in the stilling basin area(Google earth satellite image dated 11 January 2015).

The excavation area shown in Fig. 2 approximately spreads over100 m � 150 m. However, in the stilling basin No. 1, which extendsup to CH. 50 m (Fig. 2), no excavation was required. The requireddepths of excavation between CH. 50 m and 70 m, CH. 70 m and125 m, and beyond CH. 125 m were about 11 m, 6 m and 3 m,respectively. Simultaneous blasting and concreting were carriedout to complete the project in scheduled time. In addition to the olddam, safety of concrete of varying ages (green concrete) againstblast vibrationswas also required to be ensured. The rock formationat the dam site is of Deccan Trap basalt.

4. Damage potential of blast vibrations

The extent of structural damage produced from blast vibrationdepends largely on the quantity of explosive charge used, the dis-tance from the blasting site, the properties of the media throughwhich vibrations are transmitted, and the various blast design pa-rameters adopted in addition to the characteristic properties of theconcerned structure (Siskind et al., 1980; Dowding, 1985). Fromanalysis of a large number of data on blast damage, investigatorsfrom various countries have established that the damage producedin a structure could be related to the PPV of ground motion(Edwards and Northwood, 1960; Duvall and Fogelson, 1962). Inaddition to the PPV, the associated frequency also plays a significantrole in causing blast-induced damages in the structures (Siskindet al., 1980; Dowding, 1985; Khandelwal and Singh, 2006; Ozer,2008). It is a well established fact that if a structure is subjectedto ground vibrations near its fundamental frequency, the structurewill amplify the vibrations. However, the ground vibrations belowthe fundamental frequency of the structure will cause the structureto vibrate at the most as much as the ground vibration level. If thefrequency of the ground vibration is 40% higher than the funda-mental frequency of the structure, the structure will vibrate with

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Fig. 2. Schematic diagram showing the blasting area with respect to the Mulshi dam.

G.R. Tripathy et al. / Journal of Rock Mechanics and Geotechnical Engineering 8 (2016) 248e255250

lower amplitude than the ground. For ground vibration with pre-dominant frequency twice the fundamental frequency of thestructure, its response will be only 10% of that at the natural fre-quency (Reil, 1998). The frequencies induced by construction blastsare generally beyond the frequency range of the most engineeredstructures, which can be gainfully used in defining the safetycriteria for construction blasts (Gupta and Tripathy, 2013).

In the past, several investigators and agencies have recom-mended safety criteria in terms of PPV or PPV and associated fre-quency to ensure safety of structures against blast vibrations (e.g. IS6922, 1973; Chae, 1978; Esteves, 1978; Langefors and Kihlstrom,1978; Siskind et al., 1980; DIN 4150, 1984; BS 7385, 1993). How-ever, most of these criteria are specific to the residential structuresand are based on observations from mining blasts. The ground vi-brations observed from mining blasts are characterized by smallamplitude, low frequency and long duration while those fromconstruction blasts have comparatively larger amplitude with veryhigh frequency content, shorter duration of motion having littlepotential to produce structural response amplifications in largeengineered structures like gravity dams. In numerous occasions atconstruction sites, the blast vibrations are found to attenuate frombase to the top of the dam, indicating that the dam behaves as arigid body under the influence of blast vibrations characterized byhigh frequencies.

The safe PPV response (SVP in mm/s) for a structure can bedecided on physical grounds using the following relationship be-tween the tensile strength fct in MPa, the compressional wave ve-locity Vc in km/s, and the density r in g/cm3 of the structuralmaterial (Dowding, 1985; Gupta et al., 2003; Gupta and Tripathy,2013; Tripathy and Gupta, 2014):

SVP ¼ fctrVc

� 103 (1)

In practical applications, the tensile strength can be taken as afraction (say 10%) of the compressive strength. Thus, as an example,for concrete structures with compressive strength of 20 MPa,assuming a compressional wave velocity of 4 km/s and density of2.5 g/cm3, the safe PPV response of 200 mm/s will be obtained.Knowledge of inherent strength and dynamic properties of a

structure in addition to frequency characteristics of ground motionhelps in deciding the site-specific safety criteria for blasting.

4.1. Resultant PPV

The ground vibration data are commonly recorded in threeorthogonal directions, i.e. longitudinal (L), transverse (T) and ver-tical (V). The damage to a structure could occur if the vibration levelin any of the components exceeds the prescribed safe limit. Since itis impossible to know this component in advance and since it maynot be the same for different blasts at a project site, the resultantground motion is generally used to take this uncertainty into ac-count. There are two approaches for estimating the maximumvalue of the resultant PPV of ground vibration, known as the truevector sum (TVS) and the pseudo vector sum (PVS). In the TVS, theabsolute amplitude of the resultant time-history, jVTVSðtÞj, is givenby

jVTVSðtÞj ¼ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiV2L ðtÞ þ V2

VðtÞ þ V2TðtÞ

q(2)

where VL(t), VV(t) and VT(t) are the time-histories of ground vi-bration along three orthogonal directions of motion, respectively.The maximum value, VTVS,max, of jVTVSðtÞj gives the resultant PPV inthe TVS. This is normally dominated by the largest of the PPV alongany of the three directions, because the peaks of the various com-ponents do not necessarily occur at the same time.

In the PVS, the maximum value of the resultant PPV is defineddirectly from the absolute peak velocity amplitudes along the threedirections. If VLmax, VTmax and VVmax are the peak velocities alonglongitudinal, vertical and transverse directions, respectively, thePVS is given by

VP ¼ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiV2Lmax þ V2

Vmax þ V2Tmax

q(3)

As VLmax, VTmax and VVmax do not all necessarily occur at thesame time, VP is generally higher by about 16% than VTVS,max. Fromanalysis of more than 1000 ground motion data recorded fromvarious construction sites with widely varying geological setup, theaverage ratio between the maximum component of ground vibra-tion and the PVS is found to be around 1.35. This is comparable withthe findings of Dowding (1985), according to which the PVS may beas much as 40% greater than the TVS, which is normally 5%e10%greater than the maximum single component. The use of resultantPPV (VP) obtained by the PVS method provides an additional safetymargin of about 40%e45% over the maximum component ofground vibration (Dowding, 1985; Gupta et al., 2003).

4.2. Site-specific safe vibration levels

The safe PPV levels recommended by Bureau of Indian Standards(IS 6922, 1973) are 50 mm/s for structures located on soil sites and70 mm/s for hard rock sites. Further, the dam is located on hardrock formations and the quality of concrete/masonry used in anengineered structure like a dam is, in reality, superior to that of theplaster in residential structures. Thus higher vibration levels maybe considered safe for a dam, an engineered structure in compar-ison to residential structures. The ground vibrations observed at theconstruction site are rich with high frequencies, as illustrated bythe results in Fig. 3, which shows the distribution of frequencies ofground vibration observed during field studies conducted at theMulshi dam site. From simultaneous measurement at the top andtoe of the dam, no amplification of vibration was observed.Therefore, a PPV of 70 mm/s (the maximum PPV of the threecomponents) could be considered safe against blast vibrations, and

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Fig. 3. Distribution of frequencies of ground vibrations observed during experimental blast studies.

3

3.2

3.4

3.6

3.8

4

4.2

4.4

0 1 2 3 4 5 6 7 8

Age of Concrete (T), days

P-w

ave

Velo

city

(VC),

km/s

Fig. 4. Best fit curve between the age of concrete and P-wave velocity obtained for M-15 grade concrete used at Mulshi dam site.

Table 1Safe vibration level for different ages of green concrete.

Age of concrete Safe PPV (mm/s)

0e4 h 104e24 h 51e2 d 252e7 d 30>7 d 35

G.R. Tripathy et al. / Journal of Rock Mechanics and Geotechnical Engineering 8 (2016) 248e255 251

in terms of resultant PPV, this works out to be of the order of100 mm/s. The safe PPV response for masonry structures estimatedfrom Eq. (1), by assuming the compressive strength of 10 MPa,compressional wave velocity of 3.75 km/s and density of 2.4 g/cm3,was found to be 111 mm/s. The lowest blast vibration level causingdamage tomasonry structure is 127mm/s (Siskind, 2000). From theabove discussions, a PPV level of about 100 mm/s could beconsidered safe for ensuring safety of Mulshi dam against blastvibrations. However, as a conservative approach, a PPV of 50 mm/s(resultant ground vibration level) was adopted as safe vibrationlevel for completing the excavation work safely.

For ensuring the safety of green concrete, various investigators(Hulshizer and Desai, 1984; Olofsson, 1988; Kwan and Lee, 2000)have suggested widely varying safety criteria in terms of PPV. Basedon data collected from a large number of concrete specimens ofdifferent make-up, qualities and ages, Kwan and Lee (2000) pro-posed the following relation to estimate the damaging level of PPV(VPD) for different ages of concrete:

VPD ¼ 160Vc (4)

The site-specific safe PPV levels for green concrete of differentages could be evaluated from Eq. (4), by adopting a suitable safetyfactor and measuring the compressional wave velocity of concreteat different ages (Kwan and Lee, 2000; Tripathy and Gupta, 2014).Six concrete cubes of M-15 grade were cast at the site and usingultrasonic pulse transmission technique, P-wave velocity of eachcube was measured at different ages varying from 1.25 days to 7days. The variation of observed P-wave velocity (Vc in km/s) withtime (T in days) is illustrated by Fig. 4 and the best fit curve isdefined by the following expression:

Vc ¼ 0:5044 ln T þ 3:2882 (5)

The damaging level of PPV (VPD) for a given age of concrete canbe obtained by multiplying Vc estimated from Eq. (5) by 160. Byadopting a suitable safety factor for Eq. (4) and estimating Vc fromEq. (5), site-specific safe vibration levels could be evaluated forgreen concrete of ages varying from 1.25 days to 7 days. In practice,freshly placed concrete is subjected to mechanical vibrations toeliminate voids and enhance its quality and strength. Within the

first few hours before initial setting, freshly placed concrete canwithstand PPV up to 100 mm/s (Oriard and Coulson, 1980;Hulshizer and Desai, 1984; Olofsson, 1988). Esteves (1978) hasshown that fresh concrete is more liable to damage between 11 and16 h of age. On the basis of the above discussions, it can beconcluded that concrete at early ages before initial setting (saywithin 3e4 h) can withstand large vibrations and beyond 1 day, asits strength increases, it can withstand increasing level of vibra-tions. However, during the first day, concrete should be subjected tothe minimum vibration levels. Based on observations made during

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1.72

P (0.95) 3724 RVQ

=

1.72

P (0.50) 1773 RVQ

=

G.R. Tripathy et al. / Journal of Rock Mechanics and Geotechnical Engineering 8 (2016) 248e255252

several past studies, highly conservative PPV levels of 10 mm/s and5 mm/s are adopted as safe vibration levels to ensure safety ofconcrete of age less than 4 h and from 4 h to 1 day, respectively. Byadopting a conservative safety factor of 20 in Eq. (4) and estimatingVc from Eq. (5), safe vibration levels for concrete of different ages(1e7 days) have been estimated. The site-specific safety criteriathus adopted for M-15 grade concrete used at Mulshi dam site aregiven in Table 1.

Fig. 5. Least squares regression and 95% confidence level curves with observed groundmotion data.

5. Attenuation of blast vibration

The attenuation characteristic of blast vibration is commonlystudied empirically by using the field data collected by detonating afew trial blasts at the actual excavation site. The relationship amongthe charge weight (Q), distance (R) and the observed ground vi-bration amplitude (VP) forms the basis of the attenuation rela-tionship. Several empirical relationships have been suggested bydifferent investigators to describe the attenuation of blast vibration(e.g. Ghosh and Daemen, 1985; Tripathy et al., 1995; Tripathy andGupta, 2002; Gupta et al., 2003; Muller et al., 2007; Nateghi,2011). However, the following form of the attenuation equation isused most widely to study the attenuation of blast vibration:

VP ¼ K�

RffiffiffiffiQ

p��a

(6)

where R is the distance (m) between the observation and blastpoints; Q is the quantity of explosive charge used per delay; K and a

are site-specific constants, which are estimated by the regressionanalysis of the observed data obtained by recording severalexperimental blasts with different charge weights at various dis-tances. At the right hand side of Eq. (6), the distance R normalizedwith square root of charge weight per delay Q is known as thesquare root scaled distance. The parameters K and a are interre-lated. The increase in a leads to an increase in corresponding Kvalue. From several field observations, it is found that for compactand massive rocks, the value of K is smaller compared to that forfractured and jointed rockmass. In hard, massive and compact rock,ground vibration is transmitted to a long distance; whereas infractured and disintegrated rock, the ground vibration diminishesat relatively smaller distances.

Table 2Safe charge weights per delay for safety of Mulshi dam (safe PPV: 50 mm/s).

Distance(m)

Safe charge weight/delay(kg)

Distance(m)

Safe charge weight/delay(kg)

50 16.6 80 42.660 23.9 90 53.970 32.6 100 66.6

5.1. Site-specific attenuation relations

With a view to develop a site-specific attenuation relation forthe site, ground vibration data from a total of nine blasts wererecorded at the site. All the blasts were made using 115 mmdiameter wagon drill holes with depth varying between 1.5 m and6 m. The holes were charged with 78 mm diameter cartridgeexplosive, each weighing 2.78 kg. Non-electrical delay detonatorswere used for initiation of these blasts. The chargeweights used perdelay varied from 1.4 kg to 27.8 kg. The vibrations were measuredon the bedrock at several different distances varying from 10 m to145 m and also on the dam top. The ground vibrations wererecorded in three mutually perpendicular directions, i.e. in thetransverse (VT), vertical (VV) and longitudinal (VL) components ofmotion, and the resultant velocity (VP) of the three componentswas computed by the PVS method.

The ground vibration data pairs, the scaled distance ðR= ffiffiffiffiQ

p Þ andthe PPV (VP), were plotted on logelog scale as shown in Fig. 5. Theleast square regression analysis method was used to find out thesite constants K and a in Eq. (6). The mean and the 95% confidencelevel attenuation relations obtained from regression analysis of thedata are written as follows:

VPð0:50Þ ¼ 1773�

RffiffiffiffiQ

p��1:72

(7a)

VPð0:95Þ ¼ 3724�

RffiffiffiffiQ

p��1:72

(7b)

5.2. Estimation of safe charge weights per delay

The safe vibration levels (50 mm/s for Mulshi dam and 5e35 mm/s for green concrete of different ages) were used with thesite-specific attenuation relation with 95% confidence level (Eq.(7b)), to estimate the safe charges per delay. The safe charge weightper delay thus obtained for distances varying from 50 m to 100 mare given in Tables 2 and 3, respectively. Using the safe vibrationlevels and the closest distances to the dam and the green concretefrom the blasting site, safe charge weight per delay for eachstructure was obtained from the results in Tables 2 and 3. Thesmallest of all the charge weights obtained in this way was used forblasting.

6. Design of blasting pattern and monitoring of vibrations

In general, during actual blasting operations, the safe chargeweight evaluated in the preceding section (Section 5.2) is distrib-uted in a number of holes drilled to the required depth in a specificpattern and fired at small time interval. However, due to widelyvarying nature of rock, geological structure, and explosive mate-rials, it is very difficult to set down simple equations, which mayenable to design an ideal blast without some field testing. Trade-offneeds to be exercised in designing the best for a given situation.Field testing is very useful for optimizing the individual blast design

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Table 3Safe charge weights per delay for safety of green concrete (safe PPV: 5e35 mm/s).

Age of concrete Safe PPV (mm/s) Charge weight per delay (kg) for distances(m) up to

50 m 60 m 70 m 80 m 90 m 100 m

0e4 h 10 2.6 3.7 5 6.5 8.3 104e24 h 5 1.1 1.6 2.2 2.9 3.7 4.61e2 d 25 7.4 10.7 14.6 19 24 29.72e7 d 30 9.2 13.2 18 23.5 29.8 36.7>7 d 35 11 15.8 21.5 28.1 35.6 44

B

J

D

S

L

T

Free

Face

Floor Level

H

H: Bench heightB: BurdenS: SpacingL: Hole depth

D: Diameter of holeT: Length of stemming J: Sub-drilling

Fig. 6. Schematic diagram showing various blast design parameters.

Fig. 7. Photograph showing the effectiveness of line drilling holes in arresting over-breakage.

G.R. Tripathy et al. / Journal of Rock Mechanics and Geotechnical Engineering 8 (2016) 248e255 253

parameters. The performance of a blasting operation dependsmainly on the rock properties, explosive properties and variousblast design parameters. Blast design parameters like burden (B),spacing (S), depth (L) and diameter of blast hole (D), sub-drilling (J),length of stemming column (T), charge per hole, etc. are required tobe selected judiciously for a particular application. Fig. 6 illustratesthe definition of various parameters associated with design ofblasting pattern for open excavation (Tripathy and Shirke, 2010).Faulty blast design is the leading cause of poor blasting results, suchas excessive ground vibrations, airblast, flyrock, over-breakage andpoor fragmentation.

For optimization of various parameters associated with blasting,several blasts were monitored by varying burden, spacing, powderfactor, charge per hole, etc. Based on these observations, blasting

Table 4Blast design parameters used at site for rock excavation.

Diameterof hole(mm)

Burden(m)

Spacing(m)

Depth of holeincluding sub-drilling (m)

TotalNo. ofholes

Maximumcharge perhole (kg)

Maximumcharge perdelay (kg)

Mod

115 2.75 3.5 9.87 13 36.56 18.28 1115 2.75 4 6.09 8 27.45 27.45 1115 2 2 2.1 47 2.78 2.78 1

patterns were optimized and used for rock excavation. Typical blastdesign parameters used at site are shown in Table 4. To minimizethe damage to the adjacent rock mass and to get a smooth rockcontour, line drilling method was adopted. In this method, a row ofclosely spaced holes is drilled along the desired line of excavation,providing a plane of weakness where the final row of holes willbreak. Before taking up the actual blasting operations at the site,115 mm diameter holes were drilled with a spacing of 0.4 m fromcenter to center of the blast holes at the CH. 50 m and CH. 125 m(Fig. 2). Most of the blasting was completed in presence of linedrilling hole. As the excavation approached the excavationboundary, the line drilling holes were also blasted with the mainblast holes. The fifth hole in each row of line drilling holes waschargedwith very small andwell distributed charges and firedwiththe main blast holes. The effectiveness of this method is illustratedby the photograph in Fig. 7, where a fairly uniform rock surface atCH. 50m, the boundary between the blasting and no blasting zones,was obtained after completion of the blasting. During the actualexcavation, all the blasts weremonitored on dam top, spillway piersand the green concrete of varying ages. The PPV levels observed onthe dam top and spillway piers are illustrated by histogram in Fig. 8,fromwhich it is clear that most of the observed vibration levels arewell below the adopted safe vibration level (50 mm/s). The vibra-tion levels on green concrete are also found to be lower than therespective safe PPV levels.

aximum No.f holes perelay

In-holedelaytime (ms)

Delay betweenholes in the samerow (ms)

Delaybetweenrows (ms)

Length ofstemmingcolumn (m)

Powderfactor(kg/m3)

475, 200 17 84 2.78 0.384475 17 59 3 0.409475 17 42 1.6 0.33

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7. Conclusions

Use of the proposed generalized methodology of blasting helpsin ensuring safety of structures against damage induced by blastvibrations. Ground vibrations fromblasting at construction sites arein general enriched with high frequencies and large engineeredstructures like dams subjected to such vibrations show littlestructural response amplifications and behave as rigid bodies. Theextent of damage produced in a structure due to blast-inducedground vibrations depends in a complicated way on the groundmotion parameters, blast design parameters and the type ofgeological strata at the foundation in addition to its inherentstrength and dynamic properties. The characteristics of groundvibrations and dynamic properties of concerned structures need tobe given due considerations while deciding the safe PPV level forblasting. The safety criteria developed on the basis of measuredvalues of ultrasonic pulse wave velocity at different ages of M-15grade concrete for this study are expected to be useful for adoptingsafe PPV levels during blasting near higher-grade concrete. Thesite-specific attenuation relation developed from ground motiondata observed from trial blasts is used for estimating the safequantities of explosive charges to be used at various distances fordesigning of blasting patterns. In the absence of site-specificstudies, the empirical relation developed from this study is ex-pected to be useful for estimation of the preliminary safe chargesfor rock excavation in similar geological formations, which couldsubsequently be improved to suit the actual site conditions bycollecting the ground vibration data during actual blasting opera-tions. Due to widely varying nature of rocks, geological structureand explosive materials, blast design parameters are optimized byfield testing. Monitoring of blast vibrations during actual excava-tion helps to ensure safety of the concerned structures as well as toprovide necessary data to improve the blasting patterns if required.The suggestedmethodology was successfully used for excavation ofrock in the vicinity of an 85 years old masonry dam, Mulshi dam inMaharashtra, India. The predicted parameters were well in

Fig. 8. Histogram showing the distribution of PPV observed on the dam and spillwayportion.

agreement with the measured parameters during blasting, whichproves the suitability of the methodology for rock excavation nearthe existing engineered structures.

Conflict of interest

The authors wish to confirm that there are no known conflicts ofinterest associated with this publication and there has been nosignificant financial support for this work that could have influ-enced its outcome.

Acknowledgments

The authors are thankful to the Director of CWPRS, Pune, Indiafor providing constant guidance during preparation of the paperand according permission to publish this paper. The help renderedby the officers from the M/s ITD Cementation India Ltd. and M/sTata Power Company Ltd. during conducting the field studies isgratefully acknowledged.

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Dr. G.R. Tripathy obtained his M.Sc. degree in Physics fromUniversity of Berhampur in 1979 and Ph.D. from SavitribaiPhule Pune University in 2000 on his thesis entitled“Investigating Transmission Characteristics of Blast-Induced Ground Vibration and its Effect on Structures”.He is presently working as Scientist-C in Central Waterand Power Research Station, Pune, India. Over the lastthree decades, he has been actively associated with morethan 50 real time projects involving rock excavation forconstruction and mining projects. Long association withblasting has helped Dr. Tripathy to make some significantcontributions in the field of rock blasting. To date, he haspublished 25 research papers in different journals, na-tional and international conferences. Dr. Tripathy is a co-

author of a Technical Memorandum entitled “Controlled Blasting for Rock Excavationin Civil Engineering Applications”. He is a life member of Indian Society of Rock Me-chanics and Tunneling Technology (ISRMTT), New Delhi.