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J. Cent. South Univ. Technol. (2007)02022505
DOI: 10.1007/s1177100700459
Deposit 3D modeling and application
LUO Zhou-quan(), LIU Xiao-ming(), SU Jia-hong(),
WU Ya-bin(), LIU Wang-ping()
School of Resources and Safety Engineering, Central South University, Changsha 410083, China
Abstract:By the aid of the international mining software SURPAC, a geologic database for a multi-metal mine was established, 3D
models of the surface, geologic fault, ore body, cavity and the underground openings were built, and the volume of the cavity of the
mine based on the cavity 3D model was calculated. In order to compute the reserves, a grade block model was built and each metal
element grade was estimated using Ordinary Kriging. Then, the reserve of each metal element and every sublevel of the mine was
worked out. Finally, the calculated result of each metal reserve to its actual prospecting reserve was compared, and the results show
that they are all almost equal to each other. The absolute errors of Sn, Pb, and Zn reserves are only 1.45%, 1.59% and 1.62%,
respectively. Obviously, the built models are reliable and the calculated results of reserves are correct. They can be used to assist thegeologic and mining engineers of the mine to do research work of reserves estimation, mining design, plan making and so on.
Key words: geologic database; deposit model; cavity; reserves; SURPAC software
1 Introduction
Thedeposit three-dimensional model is the numeric
token of the deposit. Some international mining
corporations, such as Canadian VOISEYS Nickel
International and BHP-BILLITON Mining Mult-inational Corporation, applied the mining software to
build the 3D deposit model to realize the dynamic
management of the production and the reasonable using
of the resources, reduce the cost of resource exploration
and mining, and improve the benefit of the company[14].
Surpac Version is a kind of large-scale mining
engineering software produced by Australian Surpac
software International Pty Ltd. The software has been
licensed to 4 000 users in more than 91 countries, and
widely used in exploration, survey, mining design and
reclamation[56]
. In this paper, the Surpac software wasused to establish a geologic database for a multi-metal
mine, the 3D models of the digging surface, geologic
fault, ore body, cavity and underground openings were
built, the volume of the mining cavity was calculated.
As well, a grade block model was constructed and the
Ordinary Kriging was used to estimate the metal
element grade, the reserves of the mine were worked
out according to each metal element and every sublevel
respectively. Finally, the calculated reserves to the
actual prospecting reserves of the mine were compared.
2 Establishment of geologic database
In order to establish the geologic database, we
collected almost all the prospecting data of the mine, and
chose the main elements, including Sn, Pb and Zn, as the
territorial variables. Then, we used the Surpac Version
5.0-K and the collected data to establish the mines
geologic database. The datasheet structure of the
geologic database is shown in Table1.
Geologic database is the foundation of 3D modeling.It is necessary for building 3D model of ore body,
analyzing the borehole data, estimating the metal element
grade and calculating reserves[710]. The geologic database
Table 1Datasheet structure of geologic database
Table name Field
Collar Borehole name Ycoordinate Xcoordinate Zcoordinate Borehole depth
Survey Borehole name Distance Obliquity Azimuth angle
Geology Borehole name Sample start point Sample end point Rock type
Sample Borehole name Sample start point Sample end point Sn grade Pb grade Zn grade
Foundation item:Project(50490274) supported by the National Natural Science Foundation of China
Received date:20060424; Accepted date: 20060627
Corresponding author:LUO Zhou-quanProfessorPhDTel: +86-731-2239239E-mail: lzq505@hotmail.com
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J. Cent. South Univ. Technol. 2007, 14(2)226
has powerful post-processing functions, which can be
used to edit, inquire, update, analyze and display the data
visually. Fig.1 shows the 3D displaying of the spatial
location of the boreholes.
Fig.13D displaying of spatial location of boreholes
3 3D modeling
3.1 Surface 3D model
Building the surface 3D model is to figure clearly
the spatial location relationship between the surface and
other spatial bodies, such as ore body and underground
openings. 3D model of the surface generated from the
mine surface contour map is shown in Fig.2.
Fig.23D model of surface
3.2 Fault 3D model
In order to realize the spatial relationship between
the geologic fault and the ore body, and comprehend the
impact led by the fault on the ore body during the period
of mining, it is necessary to build the geologic fault 3D
model based on 22 sheets of prospecting cross-section
plane, shown in Fig.3.
3.3 Ore body 3D model
Usually, there are two methods for ore body 3Dmodeling[1116]. Method 1 is to build the ore body 3D
model using the prospecting cross-section plane. Method
2 is to build the ore body 3D model based on the
borehole data. We should choose the proper method
according to the aim of modeling. Generally, we should
use several methods synthetically to build the ore body
model in order to show the ore body shape exactly. Here,
we chose method 2 synthetically to build the ore body3D model. Figs.4 and 5 show the 3D model of the ore
body and the mixed rock within the ore body.
Fig.33D model of geologic fault
Fig.43D model of ore body
Fig.53D model of mixed rock
3.4 Opening 3D model
For the sake of reflecting the spatial relationship
between the ore body and openings, and also providing
the basis for other new opening design, we built opening
3D models. All drifts 3D models of 6 sublevels are built
based on the sublevel ichnography, other openings
models, such as ramp and raise, are built based on theirmidline and actual cross-section size. Fig.6 shows the
opening 3D model of sublevel 355.
Fig.7 shows the compound model of surface,
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LUO Zhou-quan, et al: Deposit 3D modeling and application 227
Fig.6Opening model of sublevel 355
Fig.7Compound model of surface, geologic fault, underground
opening and ore body
geologic fault, underground openings and ore body.
4 Cavity 3D modeling and its volume
calculation
Cavity 3D modeling is to realize the basic shape,
location, volume of the cavities, and the spatial
relationship between cavities and underground openings,
simultaneously to assist the following mining design
according to the three-dimensional configuration and the
position of cavity, and also to settle the foundation forcavity stability numerical simulation. In order to build
the cavity model well, we accomplished the cavity 3D
model based on 22 sheets of actual surveying maps.
Fig.8 shows the distribution of cavities in all sublevels,
and Fig.9 shows the volume distribution of cavities in
different mining districts and classified by the situation
whether the cavity has been filled or not.
5 Reserve calculation
In the interest of calculating reserves of the deposit,we built the grade block model. Personal status model
unit block size for 20 m15 m10 m was definited and
the smallest unit block size for 5 m5 m2.5 m was
decomposed. The spherical variation function model was
used, the variation function was analyzed separately
along the ore body extend direction, proneness and the
thickness in three directions. Then main parameters of
theoretical variation function were educed, and the
reliability of the variation function curve was checked by
using cross-validate. In view of various elements
personal status distribution characteristic in the mining
area, the Ordinary Kriging was used to estimate each
main metal element grade[1720].
Fig.8Distribution of cavities in sublevels
Fig.9Distribution of cavity volume in different mining districts
Each metal reserve based on the grade block model
was calculated and the grade
tonnage curve for eachmetal was generated, as shown in Figs.10, 11 and 12.
Fig.10Gradetonnage curve of Sn
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J. Cent. South Univ. Technol. 2007, 14(2)228
As well, every metal reserve in each sublevel was
calculated and subleveltonnage curve was created, as
shown in Fig.13.
Fig.11Gradetonnage curve of Pb
Fig.12Gradetonnage curve of Zn
Fig.13Subleveltonnage curve of each metal
The results of comparing each metals calculated
reserve to its actual prospecting reserve of the mine are
shown in Fig.14. It is obvious that the calculated reserve
of each metal is almost equal to its actual prospecting
reserve. The absolute errors of Sn, Pb, and Zn reserves
are only 1.45%, 1.59% and 1.62%, respectively.
Fig.14Calculated reserves vs actual prospecting reserves
6 Conclusions
1) Surpac Version is a kind of practical large-scale
mining engineering software. With the help of it, the
geologic database of a mine is established and 3D
models of the surface, geologic fault, ore body, cavity
and underground openings are built.
2) Cavity volume based on the cavity 3D model is
calculated. A grade block model of the deposit is
constructed and the reserve of each metal and every
sublevel is worked out respectively.
3) Each calculated metal reserve to its actual
prospecting reserves of the mine is compared. The
absolute errors of Sn, Pb, and Zn reserves are only 1.45%,
1.59% and 1.62%, respectively. The results show that the
models are reliable and the calculated reserves are
correct. They can be used to assist the geologic and
mining engineers of the mine to do research work of
reserves estimation, mine design and plan making.
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(Edited by LI Xiang-qun)
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