Rock Mechanics and Rock Engineering: From the Past to the Future – Ulusay et al. (Eds)
© 2016Taylor & Francis Group, London, ISBN 978-1-138-03265-1
DeterminingtheGeologicalStrengthIndex(GSI)usingdifferentmethods
B.Vásárhelyi
Department of Engineering Geology & Geotechnology, Budapest University of
Technology and Economics, Budapest, Hungary
G.Somodi,Á.Krupa&L.Kovács
RockStudy Ltd, Pécs, Hungary
ABSTRACT: During the design process in rock engineering Hoek-Brown failure envelope is used for the
determinationofrockmassfailureenvelopemainlyinbrittlerocks.AnimportantinputparameteroftheHoek-
BrownfailureenvelopeistheGeologicalStrengthIndex(GSI ),whichvariesbetween0and100,andconcentrates
onthedescriptionofrockstructureandblocksurfaceconditions.Thereareseveralmethodswhichdefine GSI
but a general international standard has not been specified yet. Our aim is to analyze different methods of
GSI determination on the basis of observations during the construction phase of the Bátaapáti radioactive
waste repository. Examinations of the values determined on-site gave significantly different results. Different
correlationsweredeterminedbetweenthecalculated GSI values.
1 INTRODUCTION
TheGeologicalStrengthIndex(GSI )representstoday
the most widely used engineering index for the cat-
egorization of rock mass quality for obtaining input
dataintothecontinuumnumericalanalysiscodesand
closedformsolutionsbasedontheHoek–Brownfail-
ure criterion (e.g. Marinos & Hoek 2000, Marinos
et al. 2007). The exact determination of this value is
veryimportantfortheexactcalculationofthefailure
envelopeorthedeformationmodulioftherockmass.
Ván & Vásárhelyi (2014) determined the sensitiv-
ity of the GSI based on mechanical properties, such
as the Hoek-Brown equation (failure envelope of the
rockmass)andtheHoek-Diederichsequation(defor-
mation moduli of the rock mass). It was shown that
sophisticatedempiricalequationscanbehighlysensi-
tivetotheuncertaintiesinthe GSI values–evenifthe
errorofthe GSI isonly5%,therelativesensitivitycan
reach100%!
Recently, Morelli (2015) analyzed the different
calculationmethodsof GSI.UsingMonte-Carlosimu-
lations,hissimulationresultsindicatethatthediverse
relationshipsmaypredictdissimilarvaluesofthe GSI
for the same rock mass. He obtained the highest GSI
valuefromtheequationswhichapplytheconventional
RMR
1989
values,andthelowestresultswereobtained
byusingthe RMi methodfor GSI calculation.
Similar results were found and published by Sari
(2015).Usingprobabilitybasedanalysisisperformed
inhisstudytoaccountfortheuncertaintyand/orvari-
ability reflected by most rock masses encountered in
largeconstructionprojects.Heanalyzedthreedifferent
empiricalmethods.Hefoundthatdifferentsuggested
equations generated completely different values of
GSI. It was also found that the most influential
parameters depended on the equations used in the
estimationofrockmassstrength.
Bertuzzi et al. (2016) determined the GSI values
of four different rock masses (namely: Hawkesbury
Sandstone and Ashfield Shale of Sydney; the Green-
land Group greywacke and argillite of South Island,
New Zealand; and the Otago Schist of South Island,
NewZealand).Theircalculationsbasedonthesugges-
tionofHoeketal.(2013):quantifyingtheGeological
StrengthIndex(GSI )withtheRockQualityDesigna-
tion(RQD)andwiththejointconditionrating(J
Cond89
)
oftheRockMassRatingsystem(RMR).Accordingto
theirresults,thetwomethodsproducedatapointsthat
aregenerallywithin ±10ofeachother.Theexceptions
arerockmassesthatmaynotbecapturedwellby RQD.
Theyrecommendedthatthequantified GSI approach
beusedtosupplementandcheckthevisuallyassessed
chart GSI. They also suggested different GSI values
that may be needed to cater for different numerical
methods.
Thegoalofthispaperistocomparethedifferent GSI
calculationsystemsbyusingthedatameasuredinthe
radioactivewasterepository,constructedinBátaapáti
(Hungary). Up to now, more than 6km long tunnel
system was constructed and all the tunnel faces were
documented (Deák et al. 2014, Kovács et al. 2015).
Thegeographicalpositionoftheresearchareaisshown
in Figures 1 and 2 present the schematic view of the
tunnelsystem.
2 GEOLOGICALANDGEOTECHNICAL
CONDITIONS
The repository was constructed in an intruded and
displaced Paleozoic granite batholith body. The
1049