Comparison of box counting and correlation dimension methods in well logging data analysis associate with the texture of volcanic rocks

Abstract

Introduction Conclusions References Tables Figures Back Close Full Screen / Esc Printer-friendly Version Interactive Discussion Abstract Introduction Conclusions References Tables Figures Back Close Full Screen / Esc Printer-friendly Version Interactive Discussion AbstractWe have developed a fractal analysis method to estimate the dimension of well logging curves in Liaohe oil field, China. The box counting and correlation dimension are methods that can be applied to predict the texture of volcanic rocks with calculation the fractal dimension of well logging curves. The well logging curves are composed 5 of gamma ray (GR), compensated neutron logs (CNL), acoustic (AC), density (DEN), Resistivity lateral log deep (R LLD ), every curve contains a total of 6000 logging data. The dimension of well logging curves are calculated using box counting and correlation algorithms respectively. It is shown that two types of dimension of CNL, DEN and AC have the same average value. The box counting dimension of volcanic lava is lower 10 than the pyroclastic rock obviously. The majority of correlation dimension of volcanic lava is lower than the pyroclastic rock, but a small amount of correlation dimension of volcanic lava is equal to the pyroclastic rock. It is demonstrated that the box counting dimension is more suitable for predicting the texture of volcanic rocks. Applications to logging data, A well show the relationship between the fractal dimension and the 15 texture of volcanic rock in certain depth. 25 analysis and calculating method of fractal dimension (Dimri, 1998; Tarquis et al., 2 NPGD Abstract Introduction Conclusions References Tables NPGD Abstract Introduction Conclusions References Tables 10 NPGD Abstract 20The result is shown in Fig. 2. Correlation dimensionCorrelation dimension represent the association degree of data series. On the basis of the embedding theory and the idea of phase space reconstruction, Grassberger 5 NPGDAbstract Introduction Conclusions References Tables NPGD Abstract Introduction Conclusions References Tables 20 7 NPGD Abstract Introduction Conclusions References Tables NPGD Abstract Introduction Conclusions References Tables NPGD Abstract Introduction Conclusions References Tables Abstract Introduction Conclusions References Tables Abstract Introduction Conclusions References Tables Abstract Introduction Conclusions References Tables Abstract Introduction Conclusions References Tables Abstract Introduction Conclusions References Tables

Tsunamis and rapid coastal remodeling: Linking energy and fractal dimension

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Chaos to fractals

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Combining topology and fractal dimension of fracture networks to characterise structural domains in thrusted limestones

“…Importantly, the fractal dimension calculated using the box counting and the pair correlation methods have the same average values (Mou and Wang, 2016). The point analysis methods are typically utilised where there is uncertainty in the validity of the much simpler and more widely recognised box-counting methods.…”