An Overview 3-D Geological Modelling Part I-Basics of 3-D Geological Modelling
An Overview 3-D Geological Modelling Part I-Basics of 3-D Geological Modelling
An Overview 3-D Geological Modelling Part I-Basics of 3-D Geological Modelling
ISSN: 2455-4847
www.ijlemr.com || Volume 02 - Issue 11 || November 2017 || PP. 01-14
Abstract: The paper present an overview of the Basics of 3-D Geological Modelling in the context of research
and modelling practices. It highlighted the basic of modelling, model types, its representation, diverse fields of
applications and the Limitations of 3-D Geological Modelling. Various types of modelling data, the needs and
the process of data pre-processing (data consistency & validation), are discussed in detail. The different
modelling approaches to accomplish the modelling task, and the corresponding thought process involved in the
approaches is elaborated. The different software available and their modelling and functional capabilities are
overviewed.
Keywords: Data preprocessing, Geological Models, modelling approach, Modelling Software.
www.ijlemr.com 1 | Page
International Journal of Latest Engineering and Management Research (IJLEMR)
ISSN: 2455-4847
www.ijlemr.com || Volume 02 - Issue 11 || November 2017 || PP. 01-14
engineering geological models (three dimensional) either as solid models (e.g. [26]) or, increasingly,
digital models [6].
c. The Analytical Model -The analytical model requires considerable simplification of the observational
model and, therefore, significant engineering geological judgment is required to ensure that
representative ground conditions, including geotechnical parameters and boundaries, are adopted. The
aim should be to focus on a model that captures the essence of the engineering design issues, but is still
robust enough to illustrate the inherent engineering geological variability.
www.ijlemr.com 2 | Page
International Journal of Latest Engineering and Management Research (IJLEMR)
ISSN: 2455-4847
www.ijlemr.com || Volume 02 - Issue 11 || November 2017 || PP. 01-14
2.5 Volume-Based Approaches
Isolated surfaces are the 3-D counterpart of the spaghetti format in GIS; they do not necessarily bound
well-defined volumes. The simplest volume model is a Cartesian grid whose blocks are flagged depending on
the geological unit they belongs. Geological interfaces if stair-stepped increases model resolution helps in
improving model accuracy and increases the number of model parameters. Adaptive Cartesian grids such as
octrees may be used to more compactly represent structures by using local refinement in areas of high geometric
complexity. However, such Cartesian representations do not directly represent fault offset nor locally varying
anisotropy related to rock deformations.
Stratigraphic (corner-point) grids address both problems by conforming grid blocks to most structural
interfaces. Construction is often achieved by extrusion of a 2D grid vertically or along so-called pillars, which
define a direction field tangent to the main faults. Alternatively, grids may be warped to conform to structural
interfaces. These grids have become standard in the modelling of underground reservoirs. They approximate the
coordinate transform to apply geostatistical methods in depositional space, thereby accounting for depositional
heterogeneities. In addition, they offer a support to finite-volume based flow simulation. However, conforming
to geological structures generally yields non-orthogonal grids, which may introduce distortions in geostatistical
models and discretization errors in flow simulation. Moreover, from a practical standpoint, these grids are very
difficult to create in the presence of low-angle faults and sub horizontal fault contacts and hence only covers a
subset of the volume of study. These shortcomings make corner-point grids difficult to apply at basin scale and
to igneous and metamorphic formations.
Boundary representations, or sealed geological models, stitch surfaces together to define rock volumes.
The full structural complexity can therefore be captured by these models, which have been widely used in
geomodelling. Analytical properties may be defined within each region to support numerical integration with the
boundary element method. When a higher level of detail is needed, conformable meshes are generated within
each region. Among these, tetrahedral meshes are simple and can in principle adapt to complex boundary
geometries; as for triangulated surfaces, tetrahedral level of detail can be variable in space to honor data or
geological features. In spite of recent advances in mesh generation, accounting for complex constraints such as
sharp geological contacts, thin layers or fracture networks is difficult to represent.
One way to address these mesh generation problems is to use implicit surfaces or level sets to represent
geological structures. In this representation, some structural interfaces are equipotential surfaces of some 3-D
scalar field f(x,y,z). Several approaches have been described to build the 3-D scalar field f(x,y,z) from a set of
data points, using radial basis functions, dual kriging with polynomial drift, or discrete interpolation on
Cartesian grids or tetrahedral meshes. As compared to surface-based structural modelling, implicit methods are
preferred because they provide some built-in model consistency rules, and do not rely on data-to-surface
projections, which raise a number of problems in classical approaches [5].
The conventional 3-D volumetric data models include constructive solid geometry (CSG), 3-D-raster,
Octree, Tetrahedral Network (TEN), Tri-Prism (TP), Generalized Tri-Prism (GTP), Geocellular, etc. [23], [25].
3-D vector data models, which describe solid volumes in terms of their enclosing surfaces, emphasize on the
surface representation for the spatial objects. The conventional 3-D vector data models include Boundary
Representation (BRep); Wire Framework and Non-Uniform Rational B-splines (NURBS). 3-D mixed data
models use two or more vector/volumetric data models to describe one geo-object at the same time. The
conventional 3-D mixed data models include BRep-CSG (Constructive solid geometry), GTP-TEN and BRep-
GTP-TEN. 3-D integrated data models firstly apply various single data models to describe different types of
spatial objects respectively, and then integrated them into a unified 3-D space to fully represent multiple types
of spatial objects. The conventional 3-D integrated data models include CSG+ TIN (Triangulated Irregular Net)
+ GTP, BRep + TEN + GTP and object-oriented data model [31].
www.ijlemr.com 3 | Page
International Journal of Latest Engineering and Management Research (IJLEMR)
ISSN: 2455-4847
www.ijlemr.com || Volume 02 - Issue 11 || November 2017 || PP. 01-14
mapped units. 3-D model of geometrical bodies can be produce representing different lithologies by a
geostatistical interpolation of the input data [15].
3-D geological modelling is being used for analysis of the subsurface geological characterization
involving both geometrical structure and various parametric properties [31]. The digital 3-D attributed model are
created by rigorous use of geological, geotechnical and geophysical data, geological knowledge and statistical
methods [2]. Attribution of physical parameters (density, magnetic susceptibility) to each representative
lithology of the model can be used for computation of the 3-D gravity or magnetic contributions of the model
[15]. Contoured or gridded surfaces of tops, bases, thicknesses and volumes of single or combined geological
units (including artificial ground) [6]. The 3-D Geological Modelling focuses on different types of visualization
and predictive 3-D mapping but also provides all types of virtual cross-sectioning and predictive calculations of
hydro-stratigraphical units and apparent validity inspections [17].
The 3-D spatial geological model can be interrogated using simple tools available in the software to
produce,
Horizontal slice maps at any depth and vertical cross-sections in any orientation [6].
Synthetic logs and cross-sections at user-defined locations; /Contoured surfaces; Isopachytes of
single or combined units; / Domain maps- Sub- and supracrop maps [6].
A fully attributed Generalized Vertical Section (GVS). This forms the basis for engineering
geological, hydrogeological and mineral potential classifications [6].
Virtual sections can be calculated in highly variable positions and can be combined with subsurface
and surface topographic information. The processing of such horizontal and vertical virtual sections
gives a very precise positioning of distinct units or structures within the spatial model, especially of
geotechnical and remediation applications. Thus it is also possible to analyse the subsurface, by
creating geological maps, thematic maps, user defined cross-sections, horizontal slices in any
elevation and synthetic drill holes [17].
Advantages of detailed, coherent ground model are, better knowledge of the ground conditions, more
control, better the assessment of risks for construction, safety, constrain design and the final costs [1]. The
integration of geoscientific data within a single 3-D model, and the ability to display and query these data, are
significant advances for project decision [9]. The interpreted geological data pool can be used to develop
management strategies for a wide range of sustainable ground-related issues. A detailed geo-scientific
knowledge of the subsurface is essential for sustainable urban management and strategic planning, in terms of
revitalization of contaminated sites, groundwater protection, and assessment of engineering conditions, mining
resources, and the preservation of archaeological sites. The high-resolution 3-D models can be used for
predictive application in the field of hydraulic modelling, environmental and geotechnical investigations. Digital
3-D subsurface models provide decision support tools for, planners and strategic decision makers. Visualization
and analysis of the subsurface, by the expert geologist, - in order to deliver an easy-to-understand decision
support system for policy and decision makers involved in sustainable regional planning [17].
The models can be kept in a dynamic form; such that each newly gathered piece of geo-scientific
information, e.g. new drillings, can be added to the existing structure-model basic data set and the model can be
modified according to this new information [17]. The models benefit from continuous validation and upgrading
of the underlying database, as well as the production of regional syntheses, integrating geological, geophysical,
and geochemical models in a single platform. It is helpful to catalyze the development of knowledge by easily
integrating data under a common format; and preserving the data in a unique archiving platform where it can
easily be shared, seen, and analyzed [9]. Various interpretive maps can be easily produced and updated with
availability of new information and can be customized for specific needs [2].
4.2 Modelling approaches based on Constructive cross-section (the TIN - triangulated irregular net
interpretation)
The geometrical modelling of the ground in Cognitive modelling methodology GSI3-D is based on
cross-sections derived from the geological map, boreholes. The software utilizes a digital elevation model,
surface geological line-work and downhole borehole data to construct cross sections by correlating boreholes
www.ijlemr.com 5 | Page
International Journal of Latest Engineering and Management Research (IJLEMR)
ISSN: 2455-4847
www.ijlemr.com || Volume 02 - Issue 11 || November 2017 || PP. 01-14
and the outcrops to produce a geological fence diagram. The software takes into account all structural geology
features such as dip, dip directions, strike, hinge lines, axial trace, and geologic faults to build the geometry of
geological units [28].
V. Modelling Data
Data requirement for modelling is based on specific modelling objectives and application. Several
different modelling methodologies have been developed depending on the type of data available. These
methodologies, accounts for the variety of available data models and their integration in a 3-D geological model
(Multi-Source Data Integration). To enhance the practical utility and the effectiveness of 3-D geological models,
along with the stratum lithology, components, and grade information of geological bodies, the expression of
attribute-oriented information and semantic information in 3-D geological modelling can be used [27].
www.ijlemr.com 6 | Page
International Journal of Latest Engineering and Management Research (IJLEMR)
ISSN: 2455-4847
www.ijlemr.com || Volume 02 - Issue 11 || November 2017 || PP. 01-14
subsurface data, a 3-D GIS or a GSIS (Geoscientific Information System) was required. Majority of software
are with RDBMS software interface where data can be better managed with ease.
Geostatistical Interpolation.
3D Spatial Model
(Visualization of interpretative,
Inter and extrapolated data.)
Reliability Estimation
www.ijlemr.com 8 | Page
International Journal of Latest Engineering and Management Research (IJLEMR)
ISSN: 2455-4847
www.ijlemr.com || Volume 02 - Issue 11 || November 2017 || PP. 01-14
Digital Geological Maps
Correlated Digital
Geological Cross-sections
Fence Diagrams
Unit Distribution
Block Model
The modeler controls the detailed configuration of each modelled surface, not by modelling algorithms
within the software [1]. A cognitive interpretative approach can be used to create traditional geological maps to
incorporate possible geological features for areas with the sparse or uncertain data.The software provides the
modeller with the ability to connect areas in the model, where there is either only partial data coverage or where
the geometry of the geological units is poorly understood [21]. The method can reproduce surfaces (faults and
stratigraphic horizons) that not only honoured the data but also were also geologically reasonable even in areas
where the data was sparse or uncertain [21]. The constructive and “knowledge-driven‟‟ 3-D modelling allows
the prediction of vertical and horizontal sections, visualization purposes, volumetric calculations of distinct
sedimentary units.
The lithostratigraphic classification of the sedimentary succession within a consistent regional
stratigraphic framework is more helpful than a pure grain-size or lithology-based approach. The
lithostratigraphic approach in construction of 3-D geological models gives better results than only a pure grain-
size or lithological-based automatically contoured approach. This statement is valid for most Quaternary
sediments and artificial cut-and fill structures [30].It must be stated very clearly that the mentioned restriction
depends on the specific geological situation. The advantages of geostatistically based modelling are high if the
coverage of borehole data is sufficient. The insufficient density of borehole data is a function of the complexity
of the subsurface. Therefore, the application of 3-D subsurface models, on local or regional scale, has to be
completed by knowledge-based control, as much as possible [30].
The subsurface data available is normally very limited. Some basic geological, limited number of boreholes or
probing data, rarely supplemented by geophysical data, is generally available for the modelling of the subsurface
in civil engineering projects. To create a model of the subsurface from this limited amount of data requires the
availability of expert knowledge. However the correctness of the model whether on paper or in a program
cannot be assessed, because of the limited amount of data available and the heavy influence of expert
knowledge/judgement on the final model. The statistical analysis of the relative uncertainty with GSI3D cannot
be done inside the software package. Due to the plausibility-checked cross-section network, as well as additional
information from 2D mapping and expert-driven interactive remodelling, the statistically based uncertainty of
information is therefore difficult to estimate [30].
www.ijlemr.com 9 | Page
International Journal of Latest Engineering and Management Research (IJLEMR)
ISSN: 2455-4847
www.ijlemr.com || Volume 02 - Issue 11 || November 2017 || PP. 01-14
Geological Data
Bore holes, Cross sections, Geological & Terrain Maps, Geophysical etc.
Geological Mapping
Stratigraphy & Fault Network
X. Limitations of Modelling
Euro Conference in Spa, Belgium in [20], identified important impediments, at that time, to greater use
of 3-D geological models:
a lack of 3-D/4D mathematical, cognitive and statistical spatial tools;
a lack of cheap modelling tools designed for the shallow subsurface that can be operated without
specialist personnel
the inability of models to depict natural variability of geological systems;
Very localized geological phenomena such as small scour hollows, relict pingo and allied periglacial
structures and small channel infills cannot be easily shown at the intended resolution of the model unless a
borehole proving the structure is included in a cross-section [16].
www.ijlemr.com 10 | Page
International Journal of Latest Engineering and Management Research (IJLEMR)
ISSN: 2455-4847
www.ijlemr.com || Volume 02 - Issue 11 || November 2017 || PP. 01-14
modelling workflows, and these include software for GIS, geostatistical analysis, visualization, and property
modelling [13]
The choice of 3-D modelling software and methodology used depends on many parameters such as
required depth of the models, type of geological setting, geological context and degree of complexity of the
geological objects. (e.g., karst, fault networks, dolerite intrusions, buried channels); need to mesh models for
simulation; method to populate the models and the kind of properties needed for population; requirement for
quantification of uncertainty [4]. Different 3-D modelling software packages are used to address different
geological conditions and to satisfy other requirements such as quality and complexity of the initial data set and
the final purpose of the model [4]. Approaches to geological modelling are different to suit the needs of
individual GSOs (partly as a reflection of their customer base), which will likely remain the case in the
foreseeable future. Convergence or streamlining of software use might occur over time, but it is impossible at
present to envisage a standard piece of software, as this will intrude into individual organizational policies and
culture, as well as the possible capabilities of clients [3]. Over time, common data formats and relevant
standards should emerge, leading to increased interoperability and exchange [3].
www.ijlemr.com 11 | Page
International Journal of Latest Engineering and Management Research (IJLEMR)
ISSN: 2455-4847
www.ijlemr.com || Volume 02 - Issue 11 || November 2017 || PP. 01-14
3-D geological models (ArcScene).
Customized tools for 3-D geological modelling to create cross sections,
make stratigraphic picks on 3-D boreholes, and generate surface maps of
the tops or bottoms of map units.
3-D GIS provide the tools for enabling interactive construction of
volumetric models of the ground profile. These permit analysis and
interpolation of geological characteristics, facilitating appraisal of the
engineering problem.
With the aid of the powerful capability of data visualization, manipulation,
sharing and editing.
3. Earth Vision High end 3-D geological modelling and visualization application
(Dynamic Graphics) Data: 3-D passage points from boreholes, geological map, digitized cross
sections, seismic data
Complex 3-D geometry and fault network representation
Spline type interpolation for layer-cake geometry, or 3-D function for 3-D
objects
Modelling for oil and gas resources, mining applications, and surficial and
near-surface geological mapping and modelling projects
4. Gocad (Geological Gocad is a CAD system, with interpolation and surface fitting algorithms.
Object Computer Use for visualization of 3-D models and inspection of 2-D surfaces.
Aided Design) incorporation of many data formats, integration of many workflows for
(Paradigm reservoir engineering and advanced geological interpretation
Geophysical.)
5. GSI3-D GSI3-D is a methodology and associated software tool for 3-D geological
(Geological modelling based on working practices of geologists- Cognitive modelling
SurveyingAnd methodology/ Constructive method/knowledge-driven approach
Investigation GSI3-D is programmed to be part of a systematic, iterative, and
In three dimensions) interpretative geological mapping process.
(Hans-Georg Sobisch, Cross-section net- based interpolation
British Geological The functionality to model more complex bedrock environments.
Survey)
6. Multilayer-GDM Suited for data control and for layered models with vertical faults with
BRGM geostatistics application.
(Geoscientific Data The Multilayer-GDM software utilizes BRGM‟s borehole and geological
Model- French map data sets including fault traces, outcrop information, existing cross
Geological Survey sections and outcrop-subcrop distributions, and a DEM.
(Bureau de Recherches The software performs consistency checks between these varied sources.
Géologiques et The model is controlled by a stratigraphic sequence with rules concerning
Minières): the nature of bounding surfaces (e.g., erosional, on lap).
7. Isatis Advanced spatial and geostatistical analysis package that can be used for
(Geovariance) sophisticated spatial data analysis, geostatistical modelling and simulation,
statistically based assessments of uncertainty, and 3-D
visualization.Interfaces with standard 3-D geomodeling software
Statistical data analysis, semi-variograms, and interpolation facilities
2D-3-D Simulation (facies simulation, pixel-based methods or object-based
methods)
8. Rockworks The geostatistical modelling packages, it interpolates surface and solid
(RockWare) models, computes reserve and overburden volumes, and can display maps,
logs, cross sections, fence diagrams, solid models, reports, and animations.
Supports wide range of 2-D and 3-D geological mapping and modelling
techniques for visualizing, interpreting, and portraying surficial and
subsurface information.
9. SKUA Mapping in structurally complex geological settings where modelers can
(Paradigm Geophysics) create grids consistent with true stratigraphy and structure while honoring
data and geological rules.
www.ijlemr.com 12 | Page
International Journal of Latest Engineering and Management Research (IJLEMR)
ISSN: 2455-4847
www.ijlemr.com || Volume 02 - Issue 11 || November 2017 || PP. 01-14
10. Surfer The interpolation and visualization of 2-D surface models. Surfer has the
(Golden Software) capability to simultaneously view stacked sets of independent surfaces in 3-
D space.
True stratigraphy and structure honoring data and geological rules.
11. Lynx Using Lynx, data is stored in a 3-D database projected to user-selected
(Geoscience planes to delineate polygonal boundaries of each geological unit.
ModellingSystem) These are connected by links to form solid volumes by interactive volume
modelling
12. EVS/ MVS Geostatistics (Geostatistical Algorithm) based
Environmental/Mining
Visualization
System
(C Tech. Development
Corp.Kaneohe, HI)
13. Geophysical Data Geostatistical Interpolation software to analyze geophysical data.
Analysis Software Examples Oasis montaj, GM-SYS (Geosoft), IPI2win, Geotools MT (AOA
Geophysics, Inc.), and methods and software developed by the USGS etc.
XII. Conclusion
In spite of the limitations with 3-D modelling can prove to be the valuable tool for better geological
understanding and related project decisions. Convergence of different modelling software capabilities, better
data integration along with use of advance geostatistical techniques blended with cognitive knowledge are
required to overcome these limitation. It has potential research element to modify the modelling approach. The
knowledge gain through various case studies and associated research will definitely add to the 3-D geological
modelling experience.
References
[1]. Aldiss D. T., Black M. G. et al. 2011. Benefits of a 3D geological model for major tunnelling works: an
example from Farringdon, east–central London, UK ASIA GEOSPATIAL FORUM 2011.
[2]. Berg R. C., Mathers Stephen J., Kessler Holger, et al. 2011 Synopsis of Current Three dimensional
Geological Mapping and Modelling in Geological Survey Organizations.
[3]. Berg Richard C., Mathers Stephen J., Kessler Holger, et al. 2011, Conclusions and Recommendations
Synopsis of Current Three dimensional Geological Mapping and Modelling in Geological Survey
Organizations.
[4]. Castagnac Claire, Truffert Catherine, Bourgine Bernard, et al. 2011.French Geological Survey (Bureau
de Recherches Géologiques et Minières): Multiple Software Packages for Addressing Geological
Complexities Synopsis of Current Three dimensional Geological Mapping and Modelling in
Geological Survey Organizations.
[5]. Caumon Guillaume, 2010. Towards stochastic time varying geological modelling 2010 Mathematical
Geosciences 42(5):555569.
[6]. Culshaw M.G. 2005. From concept towards reality: developing the attributed 3D geological model of
the shallow subsurface(Quarterly Journal of Engineering Geology and Hydrogeology, 38, 231–284
1470-9236/05 $15.00 2005 Geological Society of London).
[7]. Donald S. Sweetkind, Emily M. Taylor et al. 2010. Three-dimensional geologic modelling of the Santa
Rosa Plain, California (Geosphere; June 2010; v. 6; no. 3; p. 237–274).
[8]. Elkadi A.S., Huisman M. 2002. 3D-GSIS geotechnical modelling of tunnel intersection in soft ground:
the Second Heinenoord Tunnel, Netherlands.
[9]. Fallara F., Legault M. and Rabeau O. 2006. 3-D Integrated Geological Modelling in the Abitibi
Subprovince (Québec, Canada): Techniques and Applications Exploration and Mining Geology;
January 2006; v. 15; no. 1-2; p. 27-43.
[10]. Greg Keller, Gaywood Matile, Harvey Thorleifson. 2011. Manitoba Geological Survey: Multi-scaled
3-D Geological Modelling with a Single Software Solution and Low Costs, Synopsis of Current Three
dimensional Geological Mapping and Modelling in Geological Survey Organizations.
[11]. Jacobsen Linda J., Glynn Pierre D., Phelps Geoff A., et al., 2011. U.S. Geological Survey: A Synopsis
of Three-dimensional Modelling, Synopsis of Current Three dimensional Geological Mapping and
Modelling in Geological Survey Organizations.
www.ijlemr.com 13 | Page
International Journal of Latest Engineering and Management Research (IJLEMR)
ISSN: 2455-4847
www.ijlemr.com || Volume 02 - Issue 11 || November 2017 || PP. 01-14
[12]. Kaufmann Olivier, Martin Thierry, 2008. Reprint of „„3D geological modelling from boreholes, cross-
sections and geological maps, application over former natural gas storages in coal mines‟‟ [Comput.
Geosci. 34 (2008) 278–290].
[13]. Kessler Holger, Mathers Stephen J., Keefer Donald A., et al., 2011. Common 3-D Mapping and
Modelling Software Packages, Synopsis of Current Three dimensional Geological Mapping and
Modelling in Geological Survey Organizations.
[14]. Kessler, H., Mathers, S. & Sobisch, H.-G. 2009. The capture and dissemination of integrated 3D
geospatial knowledge at the British Geological Survey using GSI3D software and methodology.
Computers and Geosciences, 35, 1311–1321.
[15]. Marteleta G., Calcagno P., Gumiauxb C., C. Trufferta. et al., 2004. Integrated 3D geophysical and
geological modelling of the Hercynian Suture Zone in the Champ toceaux area (south Brittany, France)
Tectonophysics 382 (2004).
[16]. Mathers S.J., Burke H.F., Terrington R.L., et al., 2014. A geological model of London and the Thames
Valley, southeast England. Proceedings of the Geologists‟ Association 125 (2014) 373–382.
[17]. Neber A., Aubel J., Classon F., et al. 2006.From the Devonian to the present: Landscape and
technogenic relief evolution in an urban environment IAEG2006 Paper number 517.
[18]. Ozmutlu enol, Hack Robert, 2003. 3D modelling system for ground engineering Springer-Verlag
Berlin Heidelberg 2003.
[19]. Parry S., Baynes F. J., Culshaw M. G., et al. 2014. Engineering Geological Models – an introduction:
IAEG Commission 25.
[20]. Rosenbaum & Turner 2003. EuroConference in Spa, Belgium.
[21]. Royse Katherine R. 2010. Combining numerical and cognitive 3D modelling approaches in order to
determine the structure of the Chalk in the London Basin (Computers & Geosciences 36 (2010) 500–
511).
[22]. Thierry Pierre, Marie Anne, Leparmentier Prunier et al. 2009. 3D geological modelling at urban scale
and mapping of ground movementsusceptibility from gypsum dissolution: the Paris example (France)
Engineering Geology 105 (2009) 51 –64.
[23]. Turner, 2006. Challenges and Trends for Geological Modelling and Visualization, Bulletin of
Engineering Geology and the Environment, Volume 65, Number 2, May 2006, pp. 109-127.
[24]. Turner, A. K. Gable, C. (2007)."A review of geological modelling” In: Three-dimensional geologic
mapping for groundwater applications, Workshop extended abstracts,” Denver, Colorado
(PDF).http://www.isgs.uiuc.edu/research/3DWorkshop/2007/pdffiles/turner.pdf .
[25]. Turner, A.K., [Editor] 1991. Three-dimensional Modelling with Geoscientific Information Systems.
NATO ASI Series C: Mathematical and Physical Sciences, v. 354, Kluwer Academic Publishers,
Dordrecht, the Netherlands, 443p.
[26]. Turner, & Dearman, W. R. 1980. The early history of geological models. Bulletin of the International
Association of Engineering Geology, 21, 202-210.
[27]. Wang Yongzhi, Zhao Hui, Sheng Yehua et al. 2015. Construction and Application of 3D Geological
Models for Attribute-oriented Information Expression Journal of Applied Science and Engineering,
Vol. 18, No. 4, pp. 315322 (2015).
[28]. Williams, J., Scheib, A. 2008. Application of near-surface geophysical data in GSI3D: case studies
from Shelford and Talla Linnfoots. British Geological Survey Open File Report (OR/08/068), 29pp.
http://nora.nerc.ac.uk/5347/1/OR_08_068.pdf.
[29]. Wu Qiang, Xu Hua, Zou Xukai. 2005. An effective method for 3D geological modelling with multi-
source data integration Computers & Geosciences 31 (2005) 35 – 43.
[30]. Wycisk P., Hubert T., Gossel W., Neumann Ch. 2009. High-resolution 3D spatial modelling of
complex geological structures for an environmental risk assessment of abundant mining and industrial
mega sites (Computers & Geosciences 35 (2009) 165 – 182).
[31]. Zhu Liang-feng, Li Ming-jiang, Li Chang-ling, et al. 2013. Coupled modelling between geological
structure fields and property parameter fields in 3D engineering geological space Engineering Geology
167 (2013) 105–116.
www.ijlemr.com 14 | Page