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Multifractal Parameter Analysis Method for Determining Reasonable Size of Rock Structure Surface in Laboratory
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Al technical title is built by PatSnap Al team. It summarizes the technical point description of the patent document.
A technology of parameter analysis and structural plane, applied in special data processing applications, design optimization/simulation, etc.
Inactive Publication Date: 2020-10-20
INNER MONGOLIA UNIV OF SCI & TECH
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However, there are few reports on the application of multifractal parameters to study the size effect of rock structural surface roughness.
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specific Embodiment approach 1
[0031] Specific implementation mode one: combine figure 1 To illustrate the multifractal parameter analysis method for determining the reasonable size of a rock structural surface laboratory described in this embodiment, it includes the following steps:
[0032] Divide the structural surface into areas of different sizes according to different size division schemes according to needs;
[0033] Calculate the multifractal parameter values of structural planes in each region;
[0034] Study the change law of multifractal parameters of structural surfaces of different sizes, and give the functional relationship formula of the structural surface size effect under each size division scheme, using the logarithmic function relationship and Indicates that the a and b are coefficients respectively, ΔD and Δa are multifractal parameters, 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 ;
[0035] Comp...
specific Embodiment approach 2
[0037] Embodiment 2: This embodiment is a further limitation of the multi-fractal parameter analysis method determined by the reasonable size of the rock structural surface laboratory described in Embodiment 1, such as figure 2 As shown, the steps for calculating the multifractal parameter value of each regional structural surface are:
[0038] (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;
[0039] (2) The measurement distance q takes an integer of [-45,45] respectively, and repeats steps (3) to (8);
[0041] (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 numbe...
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Abstract
The invention provides a multi-fractal parameter analysis method for determining a reasonable size of a rock structure surface in a lab. The roughness of the rock structure surface is represented with multi-fractal parameters; a size effect law of the roughness of the rock structure surface is analyzed; a function relation is given; and a new method for determining the reasonable size of the rock structure surface in the lab by using a tilt angle of a function curve slope is proposed. The shortcoming of one-sidedness of researching the size effect of the structure surface by calculating two-dimensional profile line fractal dimension of the rock structure surface is overcome, so that an analysis result of the side effect of the rock structure surface is more accurate and a theoretical basis is provided for determining the reasonable size of the rock structure surface in a lab.
Description
technical field [0001] The invention relates to the quantitative characterization of the size effect of rock structural planes, in particular to a multi-fractal parameter analysis method for determining the reasonable size of rock structural planes in a laboratory. Background technique [0002] A large number of tests have shown that there is a size effect on the mechanical properties of the rock structural plane, and this phenomenon is mainly due to the size effect of the roughness of the structural plane. Therefore, it is of great practical significance to determine the reasonable size of rock specimens in the laboratory by using the roughness information of structural planes. At present, the methods for expressing the roughness of structural surfaces mainly include statistical parameter representation method and fractal dimension description method. Fractal geometry is an effective method to describe irregular geometries in nature. Therefore, fractal dimensions have been...
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