Geoinformatics
Online ISSN : 1347-541X
Print ISSN : 0388-502X
ISSN-L : 0388-502X
Characterization of 3D Distribution of Sedimentary Layers and Geomapping Algorithm
Logical Model of Geologic Structure
Kiyoji SHIONOShinji MASUMOTOMasanori SAKAMOTO
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1998 Volume 9 Issue 3 Pages 121-134

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Abstract
Computer processing of underground structures is one of the most important problems in Geoinformatics to promote an advanced use of computer in geology and a wide variety of related fields. The present paper summarizes a mathematical basis of data processing for a 3D modeling of geologic structure that has been formed through a sequence of sedimentation and erosion. At the first, we present a mathematical model that defines recursively a logical relation between geologic units and surfaces. Next, based on the model, we formulate a flow of data processing for 3D modeling as the following six steps: (1) classification of geologic units, (2) ordering of geologic units and events, (3) derivation of a logical relation between geologic units and surfaces, (4) estimation of surfaces, (5) determination of a function g that assigns a geologic unit to every point, and finally (6) visualization of 3D geologic structure based on the function g. The formulation provides a theoretical basis for development of computer algorithms.
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© Japan Society of Geoinformatics
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