A Fractal Dimension Analysis Method for Determination of Reasonable Size of Rock Structure Surface in Laboratory
A fractal dimension and analysis method technology, applied in the direction of electrical digital data processing, special data processing applications, instruments, etc., to achieve the effect of accurate size calculation
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specific Embodiment approach 1
[0024] Specific implementation mode one: combine figure 1 To illustrate the fractal dimension analysis method for determining the reasonable size of a rock structural surface laboratory described in this embodiment, it includes the following steps:
[0025] Divide the structural surface into areas of different sizes according to different size division schemes according to needs;
[0026] Calculate the fractal dimension value of each regional structural surface;
[0027] Study the changing law of the fractal dimension of structural surfaces of different sizes, and give the functional relationship formula of the size effect of structural surfaces under each size division scheme, using logarithmic function relationship Indicates that the a and b are coefficients respectively, D is the fractal dimension, and L 0 is the side length of the basic structure, L 0 =32mm, L is the side length of the calculated structural surface, L>L 0 ;
[0028] Comparing the structural surface s...
specific Embodiment approach 2
[0030] Specific embodiment 2: This embodiment is a further limitation of the fractal dimension analysis method for determining the reasonable size of the rock structural surface laboratory described in the specific embodiment 1, such as figure 2 As shown, the steps for calculating the fractal dimension of each regional structural surface are:
[0031] (1) Obtain the three-dimensional shape data of the structural surface in this area, including the height information of each point of the structural surface, and the height information refers to the drop between this point and the lowest point in the structural surface;
[0032] (2) Scale variable δ takes values respectively Repeat steps (3) to (4);
[0033] (3) Divide the structural surface into δ -1 ×δ -1 A small grid, use the function rand() to generate random numbers, judge the parity of the generated random numbers, select different division schemes of triangles in the small grid according to the parity of the random ...
specific Embodiment approach
[0039] 1. Acquisition of structural surface 3D topography information data
[0040] The three-dimensional scanner EinScan-S was used to obtain the structural surface morphology information data. The collected data is saved in Excel for further calculation and analysis.
[0041] 2. Calculation of the fractal dimension D of the structural surface
[0042] according to figure 1 Calculation steps, each small mesh triangulation adopts image 3 In the two schemes shown, one of them is randomly selected in the calculation process, and the Figure 4The fractal dimension D of the structural surface is calculated. The size division scheme of the structural surface is as follows: Figure 4 As shown in , a total of fractal dimension calculations under five different division schemes are carried out. Each scheme is divided into five structural planes with different sizes, and each structural plane is sampled and calculated 30 times. Table 1 is a summary table of the calculation resu...
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