Continuous grading and particle dispersity comprehensive characterization method and system

Abstract

The invention discloses a continuous gradation and particle dispersity comprehensive characterization method and system, and relates to the technical field of geotechnical engineering.The method comprises the steps that continuous gradation particle size distribution curves under different particle size distribution conditions are obtained through screening; obtaining particle size dispersity characterization based on the standard deviation of the particle size set; and dividing the dispersion scale of the sample according to the particle size dispersion characterization, and solving a most dispersed continuous grading particle size distribution curve of the sample size. According to the method, through application of an optimization moment theory, on the premise of considering complete grading curve information, the particle distribution grading of any group of samples with known particle size ranges is explored, the particle size dispersion degree can be reasonably quantified, and the particle size dispersion degree can be accurately represented; the invention further develops a special algorithm which is used for dividing the soil body sample with any known particle size range into different dispersion sizes, and a particle size distribution curve with the most dispersed size can be calculated, so that the structure and the function of the soil body are effectively optimized.

Description

Technical Field

[0001] The invention relates to the technical field of geotechnical engineering, and in particular to a method and system for comprehensively characterizing continuous grading and particle dispersion. Background Art

[0002] In the field of geotechnical engineering, the analysis of soil particle size and gradation is crucial, as it directly affects the physical and mechanical properties of the soil. Although current technology is able to provide basic measurement and analysis of soil particle size, there are several significant shortcomings and limitations:

[0003] ① Discontinuous data processing: Many existing methods focus on processing discrete data points rather than providing a continuous particle size distribution model. This limits the understanding of the full spectrum characteristics of soil particles and makes the analysis results unable to accurately reflect the actual situation of the soil.

[0004] ② Limitations of dispersion evaluation: Current methods often lack comprehensiveness when evaluating the dispersion of particle size. For example, when using the non-uniformity coefficient to quantify the size dispersion of soil, only two special points on the particle grading curve are considered, thus ignoring the information of other key points on the curve. For example, for two soils with different gradings, if the d 60 and d 10 The same point, but the other points are different, then even though the inhomogeneity coefficients of the two soils are the same, it is impossible to tell whether the size dispersions of the two soils are the same.

[0005] ③ Lack of optimization strategy: Although some technologies can analyze particle size distribution, they often do not provide a clear optimization path to improve soil performance. For example, how to adjust the particle size distribution to achieve higher stability and bearing capacity is often not fully explored in existing technologies. Summary of the invention

[0006] In view of the above existing problems, the present invention is proposed.

[0007] Therefore, the present invention provides a method and system for comprehensive characterization of continuous grading and particle dispersion to solve the problems in the prior art of discontinuous data processing, lack of comprehensiveness in evaluating particle size dispersion, and insufficient stability of particle size distribution optimization strategy.

[0008] In order to solve the above technical problems, the present invention provides the following technical solutions:

[0009] In the first aspect, the present invention provides a method for comprehensive characterization of continuous grading and particle dispersion, including: obtaining a continuous grading particle size distribution curve under different particle size distribution conditions by screening; obtaining a particle size dispersion characterization based on the standard deviation of a particle size set; dividing the sample dispersion scale according to the particle size dispersion characterization, and solving the most dispersed continuous grading particle size distribution curve of the sample size.

[0010] As a preferred solution of the method for comprehensive characterization of continuous gradation and particle dispersion of the present invention, the acquisition of the continuous gradation particle size distribution curve under different particle size distribution conditions includes:

[0011] The particle size of a group of samples with only known particle diameter range is normalized and dimensionless, expressed as:

[0012] D i =d i / d max

[0013] Among them, d i Represents the diameter of different particles, d max Indicates the diameter of the largest particle in the particle size distribution, D i represents the dimensionless particle size;

[0014] Based on the normalized dimensionless particle size, a continuous graded particle size distribution curve is obtained by the cumulative content of any particle size, which is expressed as:

[0015]

[0016] Wherein, P represents the cumulative content at any particle size, d represents any particle size, and m and b represent fitting parameters.

[0017] As a preferred embodiment of the method for comprehensive characterization of continuous gradation and particle dispersion of the present invention, it also includes:

[0018] For any of the obtained continuous graded particle size distribution curves, the cumulative content at any particle size is an increasing function of any particle size d, and the partial derivative of the cumulative content P at any particle size to the arbitrary particle size variable d is expressed as:

[0019]

[0020] From the partial derivative formula of the cumulative content P at any particle size with respect to the arbitrary particle size variable d, it can be obtained that the inequality is met only when (1-b)>0, m≠0, then the values ​​of the fitting parameters m and b are m<0, b>1 or m>0, b<1.

[0021] As a preferred solution of the method for comprehensive characterization of continuous gradation and particle dispersion described in the present invention, the continuous gradation particle size distribution curve under different particle size distribution conditions can be obtained by controlling the sizes of the fitting parameters m and b.

[0022] As a preferred embodiment of the method for comprehensive characterization of continuous gradation and particle dispersion of the present invention, the characterization of particle size dispersion includes:

[0023] The geometric mean of the particle weight distribution is obtained based on the "moment theory" It is expressed as:

[0024]

[0025] Among them, M i Indicates retention in the sieve hole d i Weight at tot Indicates the total weight of the sample;

[0026] Taking the natural logarithm of both sides of the geometric mean of the particle weight distribution, that is The geometric mean of the final particle weight distribution is It is expressed as:

[0027]

[0028] According to the geometric mean of the final particle weight distribution, M i / M tot The content of particles in sieve holes of different sizes can be obtained by subtracting the cumulative content P at any particle size. i The weight percentage at

[0029] IG is defined as the geometric standard deviation of the normalized size set of particles. The distribution of each particle size of the sample on the geometric mean is described according to the geometric standard deviation of the normalized size set of particles, which is expressed as:

[0030]

[0031] As a preferred solution of the method for comprehensive characterization of continuous grading and particle dispersion described in the present invention, the larger the geometric standard deviation of the normalized particle size set, the larger the sample size dispersion, that is, the more uneven the sample.

[0032] As a preferred solution of the method for comprehensive characterization of continuous gradation and particle dispersion of the present invention, the acquisition of the particle size distribution curve of the most dispersed continuous gradation of the sample size includes:

[0033] Input a set of sample particle sizes in any particle size range, and automatically generate continuous particle size distribution curves of different particle size distributions by setting the range of fitting parameters m and b, and calculate the corresponding size dispersion characterization index;

[0034] Automatically draw a three-dimensional spatial coordinate graph of the size dispersion characterization index as the fitting parameters m and b change, and identify the spatial point when the size dispersion characterization index is the largest;

[0035] Based on the m and b coordinates of the spatial point, the most dispersed continuous gradation particle size distribution curve of the sample size can be solved according to the cumulative content P at any particle size.

[0036] In a second aspect, the present invention provides a continuous gradation and particle dispersion comprehensive characterization system, comprising:

[0037] A curve acquisition unit, used for obtaining a continuous gradation particle size distribution curve under different particle size distribution conditions through screening;

[0038] a dispersion characterization unit for obtaining a particle size dispersion characterization based on a standard deviation of a set of particle sizes;

[0039] The optimal curve solving unit is used to characterize and divide the sample dispersion scale according to the particle size dispersion degree, and solve the most dispersed continuous gradation particle size distribution curve of the sample size.

[0040] In a third aspect, the present invention provides a computing device, comprising:

[0041] Memory and processor;

[0042] The memory is used to store computer-executable instructions, and the processor is used to execute the computer-executable instructions. When the computer-executable instructions are executed by the processor, the steps of the method are implemented.

[0043] In a fourth aspect, the present invention provides a computer-readable storage medium storing computer-executable instructions, which implement the steps of the method when executed by a processor.

[0044] Compared with the prior art, the beneficial effects of the present invention are as follows: the present invention proposes a more accurate and practical method for characterizing the particle size dispersion, and can provide a comprehensive and accurate particle size distribution curve modeling method by innovatively improving the expression and calculation methods of the particle size distribution curve; in addition, the present invention explores the particle distribution gradation of any group of samples with a known particle size range under the premise of considering the complete grading curve information through the application of the optimization moment theory, and can also reasonably quantify the particle size dispersion and accurately characterize the degree of particle size dispersion; the present invention has also developed a special algorithm for dividing soil samples with any known particle size range into different dispersion scales, and can calculate the most dispersed particle size distribution curve, thereby effectively optimizing the structure and function of the soil. BRIEF DESCRIPTION OF THE DRAWINGS

[0045] In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the accompanying drawings required for use in the description of the embodiments will be briefly introduced below. Obviously, the accompanying drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other accompanying drawings can be obtained based on these accompanying drawings without paying creative work.

[0046] Figure 1 This is an overall flow chart of a method for comprehensive characterization of continuous grading and particle dispersion according to an embodiment of the present invention;

[0047] Figure 2 A particle grading diagram of a method for comprehensive characterization of continuous grading and particle dispersion according to an embodiment of the present invention;

[0048] Figure 3 A schematic diagram of the change of IG with m and b in the method for comprehensive characterization of continuous gradation and particle dispersion according to an embodiment of the present invention;

[0049] Figure 4 This is a schematic diagram of particle grading curves under different m and n combinations of the continuous grading and particle dispersion comprehensive characterization method described in one embodiment of the present invention. DETAILED DESCRIPTION

[0050] In order to make the above-mentioned purposes, features and advantages of the present invention more obvious and easy to understand, the specific implementation methods of the present invention are described in detail below in conjunction with the drawings of the specification. Obviously, the described embodiments are part of the embodiments of the present invention, but not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary persons in the art without creative work should fall within the scope of protection of the present invention.

[0051] Example 1

[0052] Reference Figure 1As an embodiment of the present invention, a method for comprehensive characterization of continuous gradation and particle dispersion is provided, which specifically comprises the following steps:

[0053] S100: obtaining a continuous gradation particle size distribution curve under different particle size distribution conditions by screening;

[0054] It should be noted that the continuous gradation particle size distribution of soil is one of the most basic soil physical properties, which strongly affects important soil physical properties such as hydraulics and heat. The particle size distribution curve is usually measured by experimental screening, and it is difficult to know the particle size distribution of soil samples without screening experiments;

[0055] In the embodiment of the present application, the particle size of a group of samples for which only the particle diameter range is known is normalized and dimensionless, and is expressed as:

[0056] D i =d i / d max

[0057] Among them, d i Represents the diameter of different particles, d max Indicates the diameter of the largest particle in the particle size distribution, D i represents the dimensionless particle size;

[0058] It should be noted that particle sizes may have different units, and direct comparison or analysis may be affected by dimensional differences. By normalizing and non-dimensionalizing, all particle size data can be converted to the same scale, which is convenient for horizontal and vertical comparative analysis, thereby eliminating the problems caused by dimensional differences.

[0059] Furthermore, based on the normalized dimensionless particle size, the continuous graded particle size distribution curve is obtained by the cumulative content of any particle size, which is expressed as:

[0060]

[0061] Where P represents the cumulative content at any particle size, d represents any particle size, and m and b represent fitting parameters;

[0062] Furthermore, for any obtained continuous graded particle size distribution curve, the cumulative content at any particle size is an increasing function of any particle size d, and the partial derivative of the cumulative content P at any particle size with respect to any particle size variable d is expressed as:

[0063]

[0064] From the partial derivative formula of the cumulative content P at any particle size with respect to any particle size variable d, it can be obtained that the inequality is met only when (1-b)>0, m≠0, then the values ​​of the fitting parameters m and b are m<0, b>1 or m>0, b<1;

[0065] Furthermore, by controlling the sizes of the fitting parameters m and b, a continuous gradation particle size distribution curve under different particle size distribution conditions can be obtained.

[0066] S200: obtaining a particle size dispersion characterization based on the standard deviation of the particle size set;

[0067] In the embodiment of the present application, after obtaining the continuous graded particle size distribution curve of the sample under different particle size distribution conditions, the geometric mean of the particle weight distribution is obtained based on the "moment theory": It is expressed as:

[0068]

[0069] Among them, M i Indicates retention in the sieve hole d i Weight at tot Indicates the total weight of the sample;

[0070] It should be noted that moment is an important parameter index for object shape recognition and is used to characterize the distribution characteristics of random variables in statistics. For example, the first-order moment (origin moment) is the mean of the random variable, the second-order moment is used to measure the width of the distribution (such as variance), and higher-order moments are used to describe the skewness, peak state and other characteristics of the distribution;

[0071] Furthermore, the natural logarithm of both sides of the geometric mean of the particle weight distribution is taken, that is, The geometric mean of the final particle weight distribution is It is expressed as:

[0072]

[0073] According to the geometric mean of the final particle weight distribution, M i / M tot The content of particles in sieve holes of different sizes can be obtained by subtracting the cumulative content P at any particle size. i The weight percentage at

[0074] IG is defined as the geometric standard deviation of the normalized particle size set. The distribution of each particle size of the sample on the geometric mean is described based on the geometric standard deviation of the normalized particle size set, which is expressed as:

[0075]

[0076] Furthermore, the larger the geometric standard deviation of the normalized particle size set, the greater the sample size dispersion, that is, the more non-uniform the sample.

[0077] S300: Divide the sample dispersion scale according to the particle size dispersion characterization, and solve the most dispersed continuous gradation particle size distribution curve of the sample size;

[0078] In the embodiment of the present application, obtaining the most dispersed continuous gradation particle size distribution curve of the sample size includes:

[0079] By inputting a set of sample particle sizes in any particle size range through the written code, the continuous particle size distribution curves of different particle size distributions are automatically generated by setting the range of fitting parameters m and b, and the corresponding size dispersion characterization index is calculated;

[0080] Automatically draw a three-dimensional spatial coordinate graph of the size dispersion index as the fitting parameters m and b change, and identify the spatial point where the size dispersion index is the largest;

[0081] Based on the m and b coordinates of the spatial point, the most dispersed continuous gradation particle size distribution curve of the sample size can be solved according to the cumulative content P at any particle size.

[0082] From the above, it can be seen that the beneficial effects of the present invention are as follows: the present invention proposes a more accurate and practical method for characterizing the particle size dispersion, and can provide a comprehensive and accurate particle size distribution curve modeling method by innovatively improving the expression and calculation methods of the particle size distribution curve; in addition, the present invention explores the particle distribution grading of any group of samples with a known particle size range under the premise of considering the complete grading curve information through the application of the optimization moment theory, and can also reasonably quantify the particle size dispersion and accurately characterize the degree of particle size dispersion; the present invention has also developed a special algorithm for dividing soil samples with any known particle size range into different dispersion scales, and can calculate the most dispersed particle size distribution curve, thereby effectively optimizing the structure and function of the soil.

[0083] The above is a schematic scheme of a method for comprehensive characterization of continuous gradation and particle dispersion of this embodiment. It should be noted that the technical scheme of the system for comprehensive characterization of continuous gradation and particle dispersion is the same as the technical scheme of the above-mentioned method for comprehensive characterization of continuous gradation and particle dispersion. For details not described in detail in the technical scheme of the system for comprehensive characterization of continuous gradation and particle dispersion in this embodiment, please refer to the description of the technical scheme of the above-mentioned method for comprehensive characterization of continuous gradation and particle dispersion.

[0084] This embodiment also provides a continuous grading and particle dispersion comprehensive characterization system, including:

[0085] A curve acquisition unit, used for obtaining a continuous gradation particle size distribution curve under different particle size distribution conditions through screening;

[0086] a dispersion characterization unit for obtaining a particle size dispersion characterization based on a standard deviation of a set of particle sizes;

[0087] The optimal curve solving unit is used to characterize and divide the sample dispersion scale according to the particle size dispersion, and solve the most dispersed continuous gradation particle size distribution curve of the sample size.

[0088] This embodiment also provides a computing device, including:

[0089] Memory and processor;

[0090] The memory is used to store computer-executable instructions, and the processor is used to execute the computer-executable instructions to implement the method proposed in the above embodiment.

[0091] This embodiment also provides a storage medium on which a computer program is stored. When the program is executed by a processor, the method proposed in the above embodiment is implemented.

[0092] The storage medium proposed in this embodiment and the method proposed in the above embodiment belong to the same inventive concept. The technical details not fully described in this embodiment can be referred to the above embodiment, and this embodiment has the same beneficial effects as the above embodiment.

[0093] Through the above description of the implementation methods, the technicians in the relevant field can clearly understand that the present invention can be implemented by means of software and necessary general hardware, and of course can also be implemented by hardware, but in many cases the former is a better implementation method. Based on such an understanding, the technical solution of the present invention is essentially or the part that contributes to the prior art can be embodied in the form of a software product, and the computer software product can be stored in a computer-readable storage medium, such as a computer floppy disk, read-only memory (ReadOnly, Memory, ROM), random access memory (RandomAccess Memory, RAM), flash memory (FLASH), hard disk or optical disk, etc., including a number of instructions for a computer device (which can be a personal computer, server, or network device, etc.) to perform the methods of various embodiments of the present invention.

[0094] Example 2

[0095] Reference Figure 2 to Figure 4 Based on the previous embodiment, this embodiment provides an application example of a method and system for comprehensive characterization of continuous grading and particle dispersion, in order to verify and illustrate the technical effects adopted in this method.

[0096] In this embodiment, for a sample within a given particle size range, the particle size is divided from small to large according to Table 1, as shown in Table 1:

[0097] Table 1: Particle size.

[0098] d(mm) 3.0 3.7 4.4 5.3 6.9 8.3 10.0 11.0 13.2 15.8 19.0 22.8 25

[0099] According to the calculation formula of the cumulative content of any particle size, the fitting parameters m=3, b=0.5 are set, and the corresponding cumulative content of the above particle size range is obtained as shown in Table 2;

[0100] Table 2: Particle size range corresponding to cumulative content.

[0101] d(mm) 3.0 3.7 4.4 5.3 6.9 8.3 10.0 11.0 13.2 15.8 19.0 22.8 25 P(％) 0.35 0.65 1.08 1.89 4.12 7.06 12.03 15.70 25.66 40.31 61.01 86.27 100

[0102] The grading curve drawn according to the data in Table 2 is shown in Figure 1 According to the obtained grading curve, IG=1.40 can be calculated by the calculation process of obtaining the particle size dispersion characterization based on the standard deviation of the particle size set.

[0103] For the sample with the given particle size range, when m and b are given a range, for example, m = [0.01, 3], b = [-4, 0.99], m and b are changed at intervals of 0.005, the three-dimensional spatial coordinate graph of IG changing with m and b is shown in Figure 2 .Depend on Figure 2 It can be seen that when IG is the largest, m=0.69, b=-1.75, that is, under this condition, the corresponding particle grading curve has the largest dispersion. For comparison, take a group of m=3, b=0 and the above example of m=3, b=0.5 and m=0.69, b=-1.75 to generate a grading curve and calculate IG, see Figure 3 .

[0104] Therefore, according to the above examples, the present invention proposes a more accurate and practical method for characterizing the particle size dispersion, and can provide a comprehensive and accurate particle size distribution curve modeling method by innovatively improving the expression and calculation methods of the particle size distribution curve; in addition, the present invention explores the particle distribution grading of any group of samples with a known particle size range under the premise of considering the complete grading curve information through the application of the optimization moment theory, and can also reasonably quantify the particle size dispersion and accurately characterize the degree of particle size dispersion; the present invention has also developed a special algorithm for dividing soil samples with any known particle size range into different dispersion scales, and can calculate the most dispersed particle size distribution curve, thereby effectively optimizing the structure and function of the soil.

[0105] It should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention rather than to limit it. Although the present invention has been described in detail with reference to the preferred embodiments, those skilled in the art should understand that the technical solutions of the present invention may be modified or replaced by equivalents without departing from the spirit and scope of the technical solutions of the present invention, which should all be included in the scope of the claims of the present invention.

Claims

1. A method for comprehensive characterization of continuous gradation and particle dispersion, characterized in that: include: Through screening, the continuous gradation particle size distribution curve under different particle size distribution conditions is obtained; Obtaining a particle size dispersion characterization based on the standard deviation of a collection of particle sizes; The sample dispersion scale is divided according to the particle size dispersion characterization, and the most dispersed continuous gradation particle size distribution curve of the sample size is solved.

2. The method for comprehensive characterization of continuous gradation and particle dispersion according to claim 1, characterized in that: The acquisition of the continuous gradation particle size distribution curve under different particle size distribution conditions includes: The particle size of a group of samples with only known particle diameter range is normalized and dimensionless, expressed as: D i =d i / d max Among them, d i Represents the diameter of different particles, d max Indicates the diameter of the largest particle in the particle size distribution, D i represents the dimensionless particle size; Based on the normalized dimensionless particle size, a continuous graded particle size distribution curve is obtained by the cumulative content of any particle size, which is expressed as: Wherein, P represents the cumulative content at any particle size, d represents any particle size, and m and b represent fitting parameters.

3. The method for comprehensive characterization of continuous gradation and particle dispersion according to claim 2, characterized in that: Also includes: For any of the obtained continuous graded particle size distribution curves, the cumulative content at any particle size is an increasing function of any particle size d, and the partial derivative of the cumulative content P at any particle size to the arbitrary particle size variable d is expressed as: From the partial derivative formula of the cumulative content P at any particle size with respect to the arbitrary particle size variable d, it can be obtained that the inequality is met only when (1-b)>0, m≠0, then the values ​​of the fitting parameters m and b are m<0, b>1 or m>0, b<1.

4. The method for comprehensive characterization of continuous gradation and particle dispersion according to claim 3, characterized in that: By controlling the sizes of the fitting parameters m and b, a continuous gradation particle size distribution curve under different particle size distribution conditions can be obtained.

5. The method for comprehensive characterization of continuous gradation and particle dispersion according to claim 1, characterized in that: The method of obtaining the particle size dispersion characterization comprises: The geometric mean of particle weight distribution is obtained based on the "moment theory" It is expressed as: Among them, M i Indicates retention in the sieve hole d i Weight at tot Indicates the total weight of the sample; Taking the natural logarithm of both sides of the geometric mean of the particle weight distribution, that is The geometric mean D of the final particle weight distribution is then expressed as: According to the geometric mean of the final particle weight distribution, M i / M tot The content of particles in sieve holes of different sizes can be obtained by subtracting the cumulative content P at any particle size. i The weight percentage at IG is defined as the geometric standard deviation of the normalized size set of particles. The distribution of each particle size of the sample on the geometric mean is described according to the geometric standard deviation of the normalized size set of particles, which is expressed as:

6. The method for comprehensive characterization of continuous gradation and particle dispersion according to claim 5, characterized in that: The larger the geometric standard deviation of the normalized size set of the particles, the greater the sample size dispersion, that is, the more non-uniform the sample.

7. The method for comprehensive characterization of continuous gradation and particle dispersion according to any one of claims 4 or 6, characterized in that: The acquisition of the most dispersed continuous gradation particle size distribution curve of the sample size includes: Input a set of sample particle sizes in any particle size range, and automatically generate continuous particle size distribution curves of different particle size distributions by setting the range of fitting parameters m and b, and calculate the corresponding size dispersion characterization index; Automatically draw a three-dimensional spatial coordinate graph of the size dispersion characterization index as the fitting parameters m and b change, and identify the spatial point when the size dispersion characterization index is the largest; Based on the m and b coordinates of the spatial point, the most dispersed continuous gradation particle size distribution curve of the sample size can be solved according to the cumulative content P at any particle size.

8. A system using the method for comprehensive characterization of continuous gradation and particle dispersion as claimed in any one of claims 1 to 7, characterized in that: include: A curve acquisition unit, used for obtaining a continuous gradation particle size distribution curve under different particle size distribution conditions through screening; a dispersion characterization unit for obtaining a particle size dispersion characterization based on a standard deviation of a set of particle sizes; The optimal curve solving unit is used to characterize and divide the sample dispersion scale according to the particle size dispersion degree, and solve the most dispersed continuous gradation particle size distribution curve of the sample size.

9. An electronic device, comprising: Memory and processor; The memory is used to store computer executable instructions, and the processor is used to execute the computer executable instructions. When the computer executable instructions are executed by the processor, the steps of the method according to any one of claims 1 to 7 are implemented.

10. A computer-readable storage medium having computer program instructions stored thereon, wherein the computer-executable instructions, when executed by a processor, implement the steps of the method according to any one of claims 1 to 7.

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