基于集合论的煤矿床空间数据模型研究

为了有效地表达现实世界特别是煤矿床的三维空间实体，在分析了复杂煤层三维数据的基础上，基于集合论的数学思想，提出了一种新的抽象的煤矿床空间数据模型．该模型把三维空间数据分解为三维点、线、简单面、面、体等5种空间数据模型，通过模型的相关性进行适当的集合运算，从而得出空间真三维煤矿床实体．并以断层为实例，给出了相应模型表示及其相应的集合运算，即集合间并、交、差等相关操作，从而生成三维煤矿床断层．结果表明：这种模型可以较为有效地表达煤矿床三维空间实体，为进一步研究奠定了基础．

Study on Coal Bed Spatial Data Types Based on Set Theory

In order to efficiently express 3D objects in the actual world, especially, coal beds, a new method of 3D based on set theory was proposed after analyzing complicated 3D data of coal beds. Bases on the method, 3D data were compartmentalized into 3D points, lines, simple surfaces, surfaces and volumes. A real 3D coal bed was acquired through proper operation among model connection. Take the fault as an example, the representing and operation of model were put forward, then the 3D coal bed could be gained. The results show that the model is efficient for representing of coal beds, which provide a basis for future study.