溶蚀岩体三维随机洞体数学模型的设计  

MATHEMATIC MODEL DESIGN FOR THREE-DIMENSIONAL RANDOM CAVERNS OF KARSTIFIED ROCK

作　　者：张菊明[1] 王思敬[1] 曾钱帮[1] 陈祥军[2] 

机构地区：[1]中国科学院地质与地球物理研究所,北京100029 [2]石家庄铁道学院,石家庄050043

出　　处：《工程地质学报》2004年第3期237-242,共6页Journal of Engineering Geology

基　　金：国家重点基础研究发展规划 ( 973 )资助项目 ( 2 0 0 2CB412 70 2 )

摘　　要：溶蚀岩体是地质体中一种特定的岩体 ,它在水流等自然因素作用下 ,生成了许多溶蚀洞体 ,本文首先对作为其载体的三维地质体进行数学描述和显示 ,然后对如何确定椭球洞体形状和大小、复杂洞体的生成、三维随机洞体的数学模型以及确定性洞体的数学描述和计算机显示进行了详尽的阐述。本文提出的溶蚀岩体三维随机洞体的数学模型为溶蚀岩体的溶蚀率和渗透特性的研究提供了可视化手段 。Karstified rock is a special type of rock mass, in which so many solution caverns are developed under influence of some natural factors such as water flowing. In this paper, mathematic description and computer display of three-dimensional geological mass are provided as a carrier of the karstified rock. The determination of the shape and size of ellipsoid, the generation of composite cavern, the mathematic modeling of three-dimensional random caverns and the mathematic description and computer display of the deterministic cavern are then discussed in detail. Mathematic modeling for three-dimensional random caverns in karstified rock suggested in this paper provides visualizational means for assessment of solution ratio and permeability of karstified rock and can effectively guide computer display programming for three-dimensional random caverns.

关 键 词：溶蚀 三维地质体 随机 岩体 自然因素 数学描述 大小 渗透特性 复杂 显示 

分 类 号：P628[天文地球—地质矿产勘探]