Coal bed 3D modeling based on Set Theory and unparallel ATP

Although spatial objects of our world have an intrinsic three dimensional (3D) natures, 3D data modeling and 3D data management have so far been neglected in spatial database systems and Geographical Information Systems, which map geometric data mainly to two-dimensional abstractions. But increasingly the third dimension becomes more and more relevant for application domains. Large volumes of 3D data require a treatment in a database context for representing, querying, and manipulating them efficiently. After detailed researching on the mechanism of Modeling of the Geology Body, a new compositive data model is brought forward based on the joining of set theory (for short ST) and Unparallel Analogical Triangular Prisms (for short UATP). Spatial entity is decomposed into five fundamental kinds of data types in this model, including 3D point (3DP), 3D line (3DL), 3D sample surface (3DSS), 3D surface (3DS), and 3D volume (3DV). Meanwhile, nine data structures concerned are put forward, including node, TIN edge, side edge, arc edge, TIN surface, sample surface, quadrangle, UATP, and 3DSVC. Based on this, system of modeling and simulation for spatial entity are designed. Fault and mining roadway are presented as examples. This paper aims at investigating the complex inherent features of 3D data and presents an abstract, formal data model called ST (Set Theory). The data model comprises a set of threedimensional spatial data types together with a collection of geometric set operations. The result shows that the data model based on set theory and UATP can improve speed and accuracy degree during process modeling. So, the main point in this paper is reconstruction of 3D Geological models, other question, such as: topological relations, data volumes as a key question for further study.