分形理论在提取大地电磁资料构造信息中的应用

Application of fractal theory in extraction of structural information from magnetotelluric data

成都理工大学“油气藏地质与开发工程”国家重点实验室,四川成都 610059

State Laboratory of Oil/Gas Reservoir Geology and Exploitation, Chengdu University of Technology, Chengdu 610059, China

分形理论是描述和研究自然界中具有“自相似性”、“自仿射性”不规则形体的重要手段。具有“自相似性”、“自仿射性”的不规则形体称之为分形体,而分数维是描述这种分形体的定量参数。介绍了一种分数维的计算方法和步骤,并利用重建相空间的办法计算了理论模型和内蒙古M盆地大地电磁实测资料的关联维数。计算结果表明,它能比较准确地反映地下地质构造情况。

Fractal theory provides an important tool in de-scription and study of irregular objects of self-simi-1arity and self-affinity. Fractal dimension is a quanti-tative parameter that describes fractal. This paperintroduces a calculation procedure of fractal dimen-sion for magnetotelluric data, and calculates the as-sociated dimension between theoretical model and re-al magetotelluric data by phase space reconstruction.