A Calculation Method of Fractal Dimension of Rock Structural Plane
A fractal dimension and calculation method technology, applied in complex mathematical operations, instruments, informatics, etc., can solve the problems of different calculation results of small grid surface area, dependence, different division schemes, etc.
Inactive Publication Date: 2020-07-07
INNER MONGOLIA UNIV OF SCI & TECH
View PDF5 Cites 0 Cited by
- Summary
- Abstract
- Description
- Claims
- Application Information
AI Technical Summary
Problems solved by technology
Year 2009, Using the vector analysis method, the calculation of the small grid area in this method has been improved. However, during the calculation, due to the different triangle division schemes in each small grid, the calculation results of the small grid surface area are also different.
In this way, the small grid abcd adopts different triangle division schemes, and its fractal dimension calculation results are different, so the current projection covering method depends on the division scheme, and lacks an accurate fractal dimension calculation method
Method used
the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View moreImage
Smart Image Click on the blue labels to locate them in the text.
Smart ImageViewing Examples
Examples
Experimental program
Comparison scheme
Effect test
specific Embodiment approach
[0023] Specific implementation method: combined figure 1 To illustrate a method for calculating the fractal dimension of a rock structural plane described in this embodiment, the method includes the following steps:
[0024] (1) Obtain the three-dimensional shape data of the rock structure plane, including the height information of each point of the structure plane, and the height information refers to the drop between this point and the lowest point in the structure plane;
[0025] (2) Scale variable δ takes values respectively Repeat steps (3) to (4);
[0026] (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 numbers, and calculate each small grid according to Heron's formula Area A i (δ), where i=1,2,…,δ -1 ×δ -1 , and then calculate the total area...
the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More PUM
Login to View More Abstract
The invention relates to a fractal dimension computing method for quantifying rock structural plane roughness. The method comprises the steps of obtaining three-dimensional shape data of a rock specimen structural plane; dividing the structural plane into small grids through utilization of a projection coverage method, generating random numbers, selecting different division schemes of triangles in the small grids according to the parity of the random numbers, and computing an area of each small grid and the total area of the structure plane; fitting {ln(A<T>(delta) / A<T0>, ln(delta) } point pairs through least squares, thereby obtaining structural plane fractal dimension values; and carrying out repeated sampling, enabling sampling results to satisfy a sigma rule, providing a structural plane fractal dimension probability density distribution function, and taking a mean value of the sampling results as a precise computation value of the researched structural plane fractal dimension. According to the method, through generation of the random numbers, a grid division result fits a practical rock structural plane shape well, and through utilization of a method of carrying out statistics on multiple times of sampling, a relatively precise fractal dimension result can be obtained.
Description
technical field [0001] The invention relates to a quantitative characterization of the roughness of a rock structural surface, in particular to a calculation method for the fractal dimension of a rock structural surface. 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 fractal dimension is one of the main methods to quantitatively describe the roughness of rock structural planes, and the projection overlay method is a common method to calculate the fractal dimension of rock structural planes. Year 2009, The vector analysis method is used to improve the calculation of the area of t...
Claims
the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More Application Information
Patent Timeline
Login to View More Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/10
CPCG16Z99/00
Inventor 陈世江王创业郭灵飞
Owner INNER MONGOLIA UNIV OF SCI & TECH