断层产状及粗糙表面的分形统计研究

给出分形插值曲面的数学模型， 根据多元统计分析及分形插值曲面原理对断层面产状和断层面的粗糙形态进行了模拟研究． 运用断层面标高的物探数据， 详细叙述了断层面产状及粗糙表面模拟的原理、方法和步骤． 用趋势面分析方法求得了断层面的产状； 用分形插值曲面的方法模拟了断层面的粗糙形态， 并求出了断层粗糙表面的分形维数及插值精度．

Fractal and statistical study of the fault attitude and roughness surface

The mathematical models of fractal interpolation surfaces are given. According to attitude statistical analysis and the principles of fractal interpolation surface, the fault attitude and the surface shape of the fault are simulated. Based on the fault surface data obtained from the fault surface by physical exploring, the principles, methods and steps of the simulation of the fault attitude and the fault surface are discussed in detail. With the method of trend surface analysis, the fault attitude is calculated and with the method of fractal interpolation surface, the roughness shape of the fault surface is simulated.At the same time, the fractal dimension and the interpolation precision of the fault simulated surface are obtained.