Soil particle distribution evaluating method based on fractal dimension
An evaluation method and fractal dimension technology, which are applied in particle and sedimentation analysis, particle size analysis, measuring devices, etc., can solve the problems of insufficient intuitive and effective grading, cumbersome and other problems, and achieve the effect of simplifying the grading evaluation method.
Inactive Publication Date: 2019-01-04
HUBEI UNIV OF TECH
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This method is relatively cumbersome, and it is not intuitive enough to effectively judge the gradation of the soil.
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[0053] The present invention will be further described in detail below in conjunction with the accompanying drawings and specific embodiments.
[0054] Such as figure 1 The fractal dimension-based evaluation method of soil particle gradation includes the following steps:
[0055] 1) Propose the relationship between the content of soil smaller than a certain particle size and the fractal dimension of soil particles
[0056]Based on the Sierpinski carpet (Sierpinski carpet) fractal model and the Menger sponge (Menger sponge) fractal model, the particle size distribution density function is derived, namely:
[0057] f(R)=CR -1-D IV
[0058] In the formula: R is the particle size; C is a constant; D is the fractal dimension of soil particles, 0
[0059] Assuming a particle volume shape factor K V is a constant value, and the particle density is represented by ρ, then a certain particle size interval R 1 ~R 2 (R 1 2 ) on the particle mass can be expressed as
[0060] ...
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The invention discloses a soil particle distribution evaluating method based on the fractal dimension. Based on a Sierpinski blanket fractal model and a Menger sponge fractal model, the relationship between the content of the soil mass with the particle size smaller than a certain particle size and the fractal dimension of soil particles is provided; the fractal dimension D of the particles and the particle size di, smaller than a certain particle size, of the soil particles with the mass accounting for i% of the total mass are obtained; based on the definitions of a nonuniform coefficient Cuand a curvature coefficient Cc, the fractal dimension D of the particles represents the nonuniform coefficient Cu and the curvature coefficient Cc so as to evaluate the soil particle distribution. Inthe soil particle distribution evaluating method, the relationship between the particle distribution microscopic fractal characteristic (the fractal dimension D) and the nonuniform coefficient Cu anda curvature coefficient Cc is built, the soil particle distribution evaluating method is simplified, and the soil particle distribution evaluating method has an extremely important value in research on engineering application of embankment and dam filling and the microscomic characteristics and the macroscopic physical and mechanical properties of rock and soil media.
Description
technical field [0001] The invention belongs to the technical field of particle distribution microfractal and soil physical properties research in geotechnical engineering, and specifically relates to a fractal dimension-based soil particle gradation evaluation method. Background technique [0002] Quantitative evaluation of soil particle gradation, which reflects the physical properties of soil, is the basis of engineering properties of rock and soil media. Particle grading has a great influence on the seepage deformation of cohesionless soil, sandy soil deformation, undrained soil mechanical properties, coarse-grained soil permeability coefficient, and compaction performance under dynamic load. It occupies a pivotal position in engineering applications such as soft soil reinforcement treatment, earth-rock filling construction, analysis and prediction of subgrade settlement after construction, and slope precipitation. [0003] Fractal theory is widely used in geotechnical ...
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CPCG01N15/02
Inventor 陶高梁彭弯肖衡林马强李丽华朱志政付佩罗晨晨陈阳阳张琎炜
Owner HUBEI UNIV OF TECH