Besides introducing some basic concepts such as fractal and fractal dimension, this paper describes several types of fractal dimensions. Based on geophysical characteristics of fractured formations of deep igneous rocks in Daqing, the paper tries to give an quantitative interpretation of fractures with the fractal theory in view of self similarity of fractures. According to the method described in the paper, the logging data from the fractured reservoirs in deep igneous rocks of Daqing were processed by programming, with the production introduced. Furthermore, the relationship between fractal dimension and fractures and the factors affecting the fractal dimension of fractures are discussed.
石雨田, 潘保芝. 分维的应用——定量描述裂缝发育程度[J]. 物探与化探, 2000, 24(6): 426-430.
SHI Yu-tian, PAN Bao-zhi . THE APPLICATION OF FRACTAL: THE QUANTITATIVE DESCRIPTION OFFEATURES OF FRACTURES. Geophysical and Geochemical Exploration, 2000, 24(6): 426-430.
[1] 王东生,曹磊.混沌、分形及其应用[M].合肥:中国科学技术大学出版社,1995.
[2] 辛厚文.分形理论及其应用[M].合肥:中国科学技术大学出版社,1993.
[3] 张济忠.分形[M].北京:清华大学出版社,1995.
[4] Pan Baozhi,Xue Linfu. The Fractal Dimension of Fractures[R]. FRACTURES—A one day seminar,20th. London,1995.
[5] 杨新社. 地球物理学中的分形几何特征[J].地球物理学进展,1991,6(3):77—87.
[6] 潘保芝,薛林福.分数维及其在测井地质解释中的应用[J].测井技术,1992,(3).