A Calculation Method of Multifractal Parameters of Rock Structure Surface
A calculation method and technology of structural surface, applied in design optimization/simulation, special data processing applications, instruments, etc., can solve problems such as dependencies, and achieve accurate calculation and quantitative description.
Inactive Publication Date: 2020-09-29
INNER MONGOLIA UNIV OF SCI & TECH
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In this way, the small grid abcd adopts different triangle division schemes, and the calculation results of its multifractal parameters are different. Therefore, the current projection covering method depends on the division scheme, and lacks an accurate calculation method for multifractal parameters.
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[0028] Specific implementation method: combined figure 1 To illustrate a method for calculating the multifractal parameters of a rock structural plane described in this embodiment, the method includes the following steps:
[0029] (1) Obtain the three-dimensional shape data of the structural surface of the rock test piece, 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;
[0030] (2) The measurement distance q takes an integer of [-45,45] respectively, and repeats steps (3) to (8);
[0031] (3) Scale variable δ takes values respectively Repeat steps (4) to (6);
[0032] (4) 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...
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The invention relates to a calculation method for a rock structure surface multi-fractal parameter. The method is used for quantifying rock structure surface roughness. The method comprises the steps of obtaining three-dimensional shape data of a rock test piece structure surface; dividing the structure surface into a plurality of small grids through utilization of a projection covering method, generating random numbers, selecting different division schemes for triangles in the small grids according to the parity of the random numbers, calculating an area of each small grid, the total area of the structure surface, and the roughness probability and measurement of the structure surface of each small grid; carrying out fitting through a least square method to obtain multi-fractal spectrum parameters corresponding to different ranging degree, and calculating the generalized fractal dimension and the multi-fractal parameter; carrying out repeated sampling, enabling sampling results to satisfy a 3 sigma rule, providing a structure surface multi-fractal parameter probability density distribution function, and taking a mean value of the sampling results as a precise calculation value for searching the structure surface multi-fractal parameter.
Description
technical field [0001] The invention relates to a quantitative characterization of the roughness of rock structural surfaces, in particular to a calculation method for multifractal parameters of rock structural surfaces. Background technique [0002] The roughness of the rock structural plane has an important influence on its mechanical properties. For example, the shear strength of the structural surface and the seepage characteristics of joint fissures are closely related to the roughness of the structural surface. Therefore, the quantitative characterization of rock structural surface roughness is a research hotspot in this field. The characterization of multifractal parameters is one of the main methods for the quantitative description of rock structural planes, and the projection overlay method is a common method for calculating the multifractal parameters of rock structural planes. Year 2009, The vector analysis method is used to improve the calculation of the area...
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IPC IPC(8): G06F30/23G01B21/30
CPCG01B21/30G06F30/20
Inventor 陈世江王超郑文翔
Owner INNER MONGOLIA UNIV OF SCI & TECH