2016
DOI: 10.5194/npg-2014-85
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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 … Show more

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Cited by 3 publications
(4 citation statements)
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“…Considering the dataset of pre-tsunami, post-tsunami, and present-day shores for each study area, 49,000 points in total, with a density of about 100 to 250 dots per linear kilometer, were processed. We used the equation (1), as well as the box-counting algorithm (Mou and Wang, 2016; Saa et al, 2007; Turcotte, 1997) through the software Fractalyse v.2.4 developed by CNRS-Universités de Franche-Comté et de Bourgogne, to calculate the fractal dimension D B . The latter algorithm,…”
Section: Methods and Resultsmentioning
confidence: 99%
“…Considering the dataset of pre-tsunami, post-tsunami, and present-day shores for each study area, 49,000 points in total, with a density of about 100 to 250 dots per linear kilometer, were processed. We used the equation (1), as well as the box-counting algorithm (Mou and Wang, 2016; Saa et al, 2007; Turcotte, 1997) through the software Fractalyse v.2.4 developed by CNRS-Universités de Franche-Comté et de Bourgogne, to calculate the fractal dimension D B . The latter algorithm,…”
Section: Methods and Resultsmentioning
confidence: 99%
“…Thus generally we can say if n is the number of identical pieces and p is the scaling factor, we can write 𝒏 = 𝒑 𝑫 Taking logarithm, we get expression for dimension as 𝑫 = 𝒍𝒐𝒈𝒏 𝒍𝒐𝒈𝒑 The dimension in this form are called similarity dimension as the structures are considered as identical pieces to calculate the dimension. To characterize the trajectories of dynamical systems a spectrum of dimensions are introduced and box counting dimension, correlation dimension and information dimension are some among them that gained wide popularity (Mou et al, 2016;Rosenberg, 2020). We will illustrate the box counting dimension in the next section using which we are going to find the fractal dimension for some chaotic systems.…”
Section: Figure 22 Different Shapesmentioning
confidence: 99%
“…This is the most popular and commonly used method to calculate the fractional dimension (Mou et al, 2016;Thompson, 2016). In this method identical square boxes of side length k is placed on the object whose fractal dimension has to be found.…”
Section: Box-counting Dimensionmentioning
confidence: 99%
“…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.…”
Section: Determination Of Fractal Dimensionsmentioning
confidence: 99%