A bauxite deposit located in the state of Jharkhand in
India has been studied for geostatistical modelling in the
presence of trend. The deposit is a blanket type formed
by residual enrichment of aluminium oxides and
selective leaching of oxides of iron, titanium, silicon,
sodium and potassium among others. Population
modelling of six major variables (Al
2
O
3
, loss on
ignition, Fe
2
O
3
, SiO
2
, TiO
2
and thickness) revealed the
presence of a log-normal distribution in all cases.
Experimental semi-variograms when computed
exhibited presence of trend in the sample values. An
attempt to fit a trend surface reflected the presence of a
third degree trend. Sample values were then made free
from the trend by subtracting the trend component from
the sample values thereby yielding residual values (i.e.
deviations from the trend). Semi-variograms computed
for the residuals exhibited regionalised phenomena.
Estimates of residuals have been obtained employing
block kriging. The trend component has then been
added to each of the block kriged residual estimates in
order to yield estimates of block grade values. A
comparison of block kriged estimates and values of the
nearest drill composite samples made for reconciliation
of results exhibited a high degree of match as evidenced
by the correlation coefficient value (r = 0·83).
Suresh Pandey (E-mail: s_pandey58@yahoo.com) and
Bhabesh C. Sarkar (E-mail: bhabesh_sarkar@hotmail.com)
are in the Department of Applied Geology, Indian School of
Mines, Dhanbad-826004, India. Kalyan Saikia (for
correspondence – E-mail: saikiak@yahoo.com) is in the
Central Mining Research Institute, GMD Division, Room 14,
Main Building, Barwa Road, Dhanbad–826001, Jharkhand,
India
© 2005 Institute of Materials, Minerals and Mining and
Australasian Institute of Mining and Metallurgy. Published
by Maney on behalf of the Institutes. Manuscript accepted in
final form 22 November 2004.
Keywords: Bauxite deposit, geostatistics, trend analysis, semi-
variogram, kriging
Applied Earth Science (Trans. Inst. Min. Metall. B) March 2005 Vol. 114 B1 DOI 10.1179/037174505X45441
Geostatistical modelling in presence of trend – a test case of a
bauxite deposit in Jharkhand, India
Suresh Pandey, Kalyan Saikia and Bhabesh C. Sarkar
INTRODUCTION
Exploration optimisation, accurate estimation of
reserves and cost effectiveness in terms of quality and
productivity for a mineral deposit have a marked
effect on the life of a mine and ultimately on the
growth and survival of a particular mineral industry in
the user market. To build a spatial model representing
adequately each characteristic of a deposit in terms of
quality and quantity depends essentially on the
available geological information of exploration data,
the unbiased nature of information and, finally, the
procedure employed for evaluation of the deposit.
When evaluating a deposit, keeping in view the above
mentioned facts and adopting a method for unbiased
characterisation of the deposit, geostatistics provide a
key role.
As ore bodies with complexities are difficult to
model accurately using conventional estimation
methods, the present paper focuses on the adaptability
of geostatistical techniques for resource evaluation of
a bauxite deposit in the Jharkhand state of India. The
approach provides a test case for the suitability of
integrated geostatistical modelling to other bauxite
deposits occurring in similar geological settings for
characterisation of mineralisation parameters and
developing an appropriate mineral inventory.
GEOLOGY OF THE DEPOSIT
Indian bauxite occurrences have been studied by
various workers from time to time in respect of their
geological setting, mineralogy, source rock and origin.
The occurrences are broadly grouped as East-coast
bauxites, Central-Indian bauxites, West-coast bauxites
and the bauxites of Jharkhand and Orissa.
3,5,7
The
bauxite deposit in the present study is located in the
state of Jharkhand, India (Fig. 1) and is included under
the broad group of bauxites of Jharkhand and Orissa.
It is a flat-topped plateau deposit with adequate
drainage conditions and an average elevation of 1057 m
above mean sea level. The deposit has a steep scarp face
on the south-east margin while in the south-west
margin it is highly undulating with deep valleys. The
average annual rainfall (150 cm), temperature variation
(5°C in winter to 40°C in summer) and the
geographical location (subtropical zone) of the area
favour the formation of an extensive ‘blanket-type’
bauxite deposit. The thickness of the bauxite zone in
the deposit varies between 2·28 m and 19·92 m with
an average of 8·8 m with aluminous laterite capping at
the top. The variation in thickness may be related to
the formation process of the bauxite ore body.
Chemical weathering and leaching are the main
processes that are responsible for the formation of the