On Formal Expression of Spatial Distribution of Strata Using Boundary Surfaces &amp;mdash;C&lt;SUB&gt;1&lt;/SUB&gt; and C&lt;SUB&gt;2&lt;/SUB&gt; Type of Contact&amp;mdash;

Shiono, Kiyoji; Masumoto, Shinji; Sakamoto, Masanori

doi:10.6010/geoinformatics1990.5.4_223

Cited by 22 publications

(7 citation statements)

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“…The logical modeling of geologic structures proposed by Shiono et al (1995Shiono et al ( , 1997Shiono et al ( , 1998) is a mathematical model in which the spatial distribution of geologic units is defined by the location of geologic boundaries. This idea is based on a three-dimensional space called .…”

Section: Logical Modeling Of Geologic Structuresmentioning

confidence: 99%

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Basic theory of three-dimensional landslide modeling based on the logical model of geologic structure

et al. 2005

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Dynamic visualization of landslide cross-sections is important for understanding the structure and mechanism of landslide formation. Moreover, the modeling of geologic information plays an effective role in geo-hazard assessment and their mitigation. In this study, we developed the basic theory of a three-dimensional landslide modeling and applied it to the Nigawa landslide of the Hyogo Prefecture in central Japan. The construction of this model is based on the boundary surfaces of slump blocks and geologic units, and the hierarchical relationships between these surfaces. An application algorithm was validated and the model proved efficient in depicting the nature of landslides in the Nigawa area.

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Section: Logical Modeling Of Geologic Structuresmentioning

confidence: 99%

“…Logical modeling of geologic structures represents the relation between boundary surfaces and geologic units (Shiono et al 1995(Shiono et al , 1997(Shiono et al , 1998. We have adopted the basic theory of the logical model and have used it for the three-dimensional modeling and visualization of landslides.…”

Section: Introductionmentioning

confidence: 99%

Basic theory of three-dimensional landslide modeling based on the logical model of geologic structure

et al. 2005

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“…In order to realize a 3-D geologic visualization in the general-purpose GIS environment, a geologic function g that assigns a unique geologic unit to every point in the 3-D space Ω (Sakamoto et al 1993, Shiono et al 1994) has been introduced.…”

Section: Geologic Function and Logical Model Of Geologic Structurementioning

confidence: 99%

Construction and Visualization of a Three Dimensional Geologic Model Using GRASS GIS

Masumoto¹,

Raghavan

Yonezawa³

et al. 2004

Transactions in GIS

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The present work aims at introducing a basic theory, implementing methodology and algorithms for 3-D modeling, and visualizing a geologic model using the Open Source Free GIS GRASS environment. A 3-D geologic model is constructed from the boundary surfaces of geologic units and the logical model of geologic structure. The algorithms for construction and visualization of the proposed model are based on the geologic function g . The geologic function g assigns a unique geologic unit to every point in the objective 3-D space. The boundary surface that divides the objective space into two subspaces is estimated using data from field survey. The logical model showing the hierarchical relationship between these boundary surfaces and geologic units can be automatically generated based on the stratigraphic sequence and knowledge of geologic structures. Based on these algorithms, a 3-D geologic model can be constructed virtually in the GRASS GIS. Applying this model, various geologic surfaces and section models can be visualized in the GRASS GIS environment. "Nviz" was used for dynamic visualization of geologic cross-sections and generation of animated image sequences. Further, the described algorithms and methods are applied and an online 3-D geologic modeling system is developed.

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“…Institute of Geology and Geoinformation, Geological Survey of Japan, National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba, Ibaraki 305-8567, Japan IT Web Raghavan et al, 2000;Masumoto et al, 20082013, 2010Sakamoto et al, 1993Shiono et al, 1994;, 1998 scale model, conceptual model, mathematical model Krumbein and Graybill 1965Agterberg 19741989, 1990総説 1997GIS 20011970Merriam, 19741990, 1992, 19941990, 2011GeoSciML Sen and Duffy, 2005, 1970, Dienes, 1974Burns, 19751980, 1998Sakamoto et al 1993GIS 1997Yonezawa et al, 2002Kajiyama et …”

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confidence: 99%

Basic elements of three dimensional geologic model and logical model of geologic structures

Masumoto¹,

Shiono²,

Nemoto³

et al. 2013

Jour. Geol. Soc. Japan

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The spatial distribution and the relation of geological units based on the three dimensional ( -D) model inferred from various geologic data are expressed in a general geological map. There are many difficulties to be solved regarding the information of the geologic map, such as the problems of objectivity, reproducibility, renewability, extensibility, compatibility, flexibility and versatility. For the effective utilization of geologic information, it is necessary to construct a -D geologic model that can provide better understanding and high reliability. The basic elements of a -D geologic model are essential for the construction of the model, and are composed of the observed data, the inferred information, the logical model, boundary surfaces and the construction method including the method of surface estimation. The logical model of geologic structure using discrete mathematics is one of the mathematical models used for geologic modeling. The logical model of geologic structure is represented by the logical relations between geologic units and boundary surfaces, and can be derived theoretically from the geologic history. These problems of geologic map utilization can be solved by the disclosure of geologic information about both the -D geologic model and its basic elements.

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On Formal Expression of Spatial Distribution of Strata Using Boundary Surfaces —C<SUB>1</SUB> and C<SUB>2</SUB> Type of Contact—

Abstract: In order to formulate the distribution of strata in a survey area Ω in terms of subspaces b1, Therefore a is directly under b ; a•¨b.

Cited by 22 publications

References 1 publication

Basic theory of three-dimensional landslide modeling based on the logical model of geologic structure

Basic theory of three-dimensional landslide modeling based on the logical model of geologic structure

Construction and Visualization of a Three Dimensional Geologic Model Using GRASS GIS

Basic elements of three dimensional geologic model and logical model of geologic structures

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