A comprehensive quantitative screening method and system for proportioning of sand fog seal material mother liquor
By using quantitative analysis and quantitative evaluation of application demand weights, the problem of difficulty in quantitatively screening the mother liquor ratio in existing technologies has been solved, and multi-objective optimization and precise screening of the mother liquor ratio for sand-containing fog sealing materials has been achieved.
Patent Information
- Application Number
- CN202211029230.1
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2022-08-26
- Publication Date
- 2026-02-03
- Estimated Expiration
- 2042-08-26
AI Technical Summary
Existing technologies make it difficult to quantitatively evaluate the mother liquor ratio of sand-containing fog seal materials according to actual needs, resulting in the need for a lot of time and economic costs for manual experience-based adjustments.
By employing quantitative analysis methods, and establishing quantitative evaluations that weight performance and application requirements, the optimal mother liquor ratio that meets specific application needs is selected, thereby achieving multi-objective optimization.
This improves the systematicness and accuracy of mother liquor ratio optimization, objectively and fairly selecting suitable ratio schemes to meet specific application needs.
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Abstract
Description
Technical Field
[0001] This invention belongs to the field of road maintenance, and more specifically, relates to a comprehensive quantitative screening method and system for the proportion of mother liquor in sand-containing fog seal materials. Background Technology
[0002] Sand-containing fog seal technology is a common preventative maintenance technique. This technology utilizes high-pressure sprayers to apply a sand-containing fog seal material, formulated from emulsified asphalt, clay, fine sand, and polymer additives, onto the road surface to form a thin layer. This addresses issues such as micro-cracks, whitening, lack of oil, and loose aggregates. This technology is low-cost and effective, and has been widely adopted for early preventative maintenance of asphalt pavements. Typically, sand-containing fog seal material is prepared on-site by mixing a base solution with fine sand. The base solution uses emulsified asphalt as its matrix material, modified by adding clay, polymers, and other modifiers to stably and effectively increase the viscosity of the emulsified asphalt, thus stabilizing and suspending the fine sand. Therefore, the performance of the sand-containing fog seal material is determined by the base solution, and the key to its preparation lies in optimizing the formula.
[0003] Patent CN201810929220.0 discloses a highly wear-resistant sand-containing fog seal material. The main component of the material includes modified methacrylic resin. The material obtained by this invention has good wear resistance and short curing time, solving the problems of long curing time and poor wear resistance of current water-based fog seal materials.
[0004] Patent CN201810469938.6 discloses an asphalt pavement roughness repair material, its preparation method, and an asphalt pavement repair aggregate. The material mainly consists of an emulsifier, asphalt, clay, acrylic resin, and water. The material prepared by this invention has good aggregate suspension properties and can be directly mixed with fine aggregates to solve the problem of loose pavement.
[0005] Patent CN202010756782.7 discloses a high-performance sand-containing fog seal material and its preparation method. The material mainly consists of zwitterionic emulsified asphalt, a suspending thickener, a tackifying and toughening agent, a film-forming agent, a suspending agent, a corrosion inhibitor, and anti-skid fine sand. The sand-containing fog seal material obtained by this invention has advantages such as short drying time, good curing effect, and long service life, and can solve the problems of poor high-temperature adhesion and poor wear resistance of existing materials.
[0006] Patent CN202111339068.9 discloses a high-performance fog seal material. The material's main components include water-based polymer-modified emulsified asphalt, an early-strength agent, and anti-skid fine sand. This invention solves the problems of weak adhesion and poor durability in traditional fog seal materials, and also offers advantages such as short drying time, reduced wheel sticking, good maintenance effect, and long service life.
[0007] However, the above patents do not address the optimization of the formulation of sand-containing fog seal materials. Optimization of material formulations typically involves referring to relevant standards and adjusting the proportions based on experience. Alternatively, orthogonal experiments can be used to optimize a specific key performance using a multi-factor, multi-level approach. However, this is difficult to quantify and evaluate based on actual needs.
[0008] Patent CN201710463197.6 discloses a method for determining the proportion of mixed aggregate backfill slurry in mining. Orthogonal experiments were conducted on the strength of cemented backfill bodies with different amounts and concentrations of cementing materials, as well as orthogonal experiments on the slump, fluidity, segregation, and bleeding rate of the backfill slurry. Functional relationships were established between the strength of the cemented backfill body and the pipeline transport characteristics of the backfill slurry, and the amount and concentration of cementing materials. Using the cost of the backfill slurry materials as the decision objective, and the critical values of the design strength of the cemented backfill body and the pipeline transport or pumping characteristics of the backfill slurry as constraints, a decision model for the proportion of mixed aggregate backfill slurry was established. This invention can reduce the cost of backfill mining and reduce solid waste emissions.
[0009] Patent CN202010088818.9 discloses a design method for a low-cost composite activated backfill cementitious material. This method employs high-temperature curing and orthogonal experiments on the strength of the cemented backfill to rapidly obtain optimized formulations for salt-based and base-based activators. Then, orthogonal design of the composite activator ratio and cemented backfill strength experiments are conducted. Based on the experimental results, an optimized design model for the composite activator ratio is established and solved to obtain the optimized composite activator formulation, thereby preparing a low-cost composite activated backfill cementitious material. This invention can rapidly obtain optimized formulations of low-cost backfill cementitious material activators for different solid wastes based on their physicochemical properties, thereby preparing low-cost backfill cementitious materials suitable for different tailings aggregates and strength requirements.
[0010] Patent CN202010339574.7 discloses a method for preparing composite modified asphalt using nano-carbon powder, SBS, and rubber powder. The raw materials are subjected to orthogonal experiments and physical property tests to obtain the optimal blending ratio. The modified asphalt with the optimal blending ratio is used as the research object. Shear speed, reaction time, reaction temperature, development time, and development temperature are used as independent variables. The physical properties of the prepared modified asphalt are tested through orthogonal experiments, and a comprehensive score is obtained through grey relational analysis. This invention can simultaneously improve the high-temperature deformation resistance and low-temperature crack resistance of asphalt, while reducing temperature sensitivity.
[0011] As can be seen from the above three patents, orthogonal experimental design can be used for material proportioning design. Compared with empirical methods, orthogonal experimental design is more scientific. However, due to the characteristics of "uniform dispersion and comparable uniformity" in orthogonal experimental design, it is difficult to comprehensively consider the multi-faceted properties of materials according to actual needs, quantitatively evaluate multiple schemes, and thus obtain a ranking of the superiority and inferiority of the proportioning schemes to achieve the purpose of selecting the proportioning scheme. Summary of the Invention
[0012] To address the aforementioned deficiencies or improvement needs of existing technologies, this invention provides a comprehensive quantitative screening method and system for the mother liquor ratio of sand-containing fog seal materials. Its purpose is to establish a quantitative evaluation of both the performance evaluation of the mother liquor ratio and the weighting of the sand-containing fog seal material performance relative to application requirements through quantitative analysis of application needs. This allows for a comprehensive evaluation of whether the mother liquor ratio of sand-containing fog seal materials can adequately meet specific application requirements, thereby efficiently and reliably screening out mother liquor ratios that meet specific application needs. This achieves multi-objective optimization of complex factors, thus solving the technical problem that existing technologies cannot achieve quantitative analysis of application needs and multi-objective optimization, leading to the need for significant time and economic costs for manual, experience-based adjustments to the mother liquor ratio of sand-containing fog seal materials.
[0013] To achieve the above objectives, according to one aspect of the present invention, a comprehensive quantitative screening method for the proportion of mother liquor in sand-containing fog sealing materials is provided, characterized by comprising the following steps:
[0014] (1) Collect independent influencing factors affecting the construction difficulty, sand suspension capacity, bonding performance, durability and reflectivity of sand-containing fog seal materials;
[0015] (2) Based on the application requirements of using sand-containing fog seal materials, the relative importance scores of the independent influencing factors of construction difficulty, sand suspension capacity, bonding capacity, durability and reflectivity obtained in step (1) are determined to form an evaluation matrix. The evaluation matrix is divided into rows and columns for the independent influencing factors of construction difficulty, sand suspension capacity, bonding capacity, durability and reflectivity, and the value of each element is the ratio of the relative importance of the corresponding influencing factor in the column to the relative importance of the corresponding factor in the row to the application requirements.
[0016] (3) For the evaluation matrix obtained in step (2), calculate its eigenvector ω and normalize it to obtain the evaluation weights w of the independent influencing factors of construction difficulty, sand suspension capacity, bonding capacity, durability and reflectivity. i i = 1, 2, 3, 4, 5;
[0017] (4) Obtain the formula ratio of the mother liquor of all sand-containing fog seal materials to be screened, and test the index values of independent influencing factors such as construction difficulty, sand suspension capacity, bonding capacity, durability and reflectivity.
[0018] (5) For the index values of the independent influencing factors obtained in step (4), according to the principle that the better the performance, the higher the score, the independent and consistent scoring is carried out within the same range to obtain the score value s of each independent influencing factor. i i = 1, 2, 3, 4, 5;
[0019] (6) For each of the multiple sand-containing fog seal material mother liquor ratios to be screened, assign scores s to the independent influencing factors s obtained in step (5) regarding construction difficulty, sand suspension capacity, adhesion, durability, and reflectivity. i The corresponding evaluation weight w obtained in step (3) i The weighted sum of the values is used as the comprehensive score ZI. Based on the principle that the higher the comprehensive score ZI, the more likely it is to be selected, the mother liquor ratio of sand-containing fog seal material is selected from all the multiple mother liquor ratios of sand-containing fog seal material to be screened.
[0020] Preferably, in the comprehensive quantitative screening method for the proportion of mother liquor in the sand-containing fog seal material, the independent influencing factor on the construction difficulty of the material is the Brinell viscosity;
[0021] The independent influencing factor on the material's sand-suspending capacity is the yield stress;
[0022] The independent influencing factor on the bonding performance of the material is the bonding strength;
[0023] The independent factor affecting the durability of the material is the abrasion value;
[0024] The independent factor affecting the reflectivity of the material is the degree of reflectivity.
[0025] Preferably, in the comprehensive quantitative screening method for the proportion of mother liquor in the sand-containing fog sealing material, the influencing factors in the rows and columns of the evaluation matrix are ordered in the same order, and the elements change monotonically according to the rows or columns; that is:
[0026] For evaluation matrix A 5×5 =(a ij For each row and column with the same index (i, j = 1, 2, 3, 4, 5), the influencing factors are the same.
[0027] Validity: If i > i′, then it must be true that... or i, i′, j0=1, 2, 3, 4, 5;
[0028] Alternatively, it holds true that if j > j′, then there must be: Or it must be i, i′, j0=1, 2, 3, 4, 5.
[0029] Preferably, in the comprehensive quantitative screening method for the proportion of mother liquor in the sand-containing fog sealing material, the element values of the evaluation matrix satisfy the following conditions:
[0030]
[0031] Where CI is the evaluation matrix A 5×5 The consistency index is RI, which is the arithmetic mean of the consistency indices of a sufficient number of randomly constructed 5th-order square matrices, and ε is a preset threshold.
[0032] Preferably, in the comprehensive quantitative screening method for the proportion of mother liquor in the sand-containing fog sealing material, step (5) involves evaluating the index value v of extremely large influencing factors. kl To obtain consistent scoring make
[0033]
[0034] For extremely small indicators v kl To obtain consistent scoring make
[0035]
[0036] According to another aspect of the present invention, a comprehensive quantitative screening system for the mother liquor ratio of sand-containing fog sealing materials is provided, including an application requirement module, a matrix calculation module, a mother liquor ratio collection module, an independent evaluation module, and a comprehensive evaluation module.
[0037] The application requirements module is used to score the relative importance of independent influencing factors such as construction difficulty, sand suspension capacity, adhesion, durability, and reflectivity based on the application requirements of using sand-containing fog seal materials, determine the evaluation matrix, and submit the evaluation matrix to the matrix calculation module. The evaluation matrix has rows and columns for the independent influencing factors of construction difficulty, sand suspension capacity, adhesion, durability, and reflectivity, respectively, and the value of each element is the ratio of the relative importance of the corresponding influencing factor in the column to the relative importance of the corresponding factor in the row to the application requirements.
[0038] The matrix calculation module is used to calculate the eigenvector ω of the evaluation matrix and normalize it to obtain the evaluation weights w of the independent influencing factors of construction difficulty, sand suspension capacity, bonding capacity, durability, and reflectivity. i , i = 1, 2, 3, 4, 5, and submit them to the comprehensive evaluation module;
[0039] The mother liquor ratio collection module is used to obtain the mother liquor ratios of all the multiple sand-containing fog seal materials to be screened, test the index values of independent influencing factors such as construction difficulty, sand suspension capacity, bonding capacity, durability and reflectivity, and submit them to the independent evaluation module.
[0040] The independent evaluation module is used to assign consistent scores to the index values of independent influencing factors within the same range, based on the principle that the better the performance, the higher the score, thus obtaining the score s for each independent influencing factor. i , i = 1, 2, 3, 4, 5, and submit them to the comprehensive evaluation module;
[0041] The comprehensive evaluation module is used to assign scores (s) to the independent influencing factors s of construction difficulty, sand suspension capacity, adhesion, durability, and reflectivity for each of the multiple sand-containing fog seal material mother liquor ratios to be screened. i With corresponding evaluation weight w i The weighted sum of the values is used as the comprehensive score ZI. Based on the principle that the higher the comprehensive score ZI, the more likely it is to be selected, the mother liquor ratio of sand-containing fog seal material is selected from all the multiple mother liquor ratios of sand-containing fog seal material to be screened.
[0042] Preferably, in the comprehensive quantitative screening method for the proportion of mother liquor in the sand-containing fog seal material, the independent influencing factor on the construction difficulty of the material is the Brinell viscosity;
[0043] The independent influencing factor on the material's sand-suspending capacity is the yield stress;
[0044] The independent influencing factor on the bonding performance of the material is the bonding strength;
[0045] The independent factor affecting the durability of the material is the abrasion value;
[0046] The independent factor affecting the reflectivity of the material is the degree of reflectivity.
[0047] Preferably, in the comprehensive quantitative screening method for the proportion of mother liquor in the sand-containing fog sealing material, the influencing factors in the rows and columns of the evaluation matrix are ordered in the same order, and the elements change monotonically according to the rows or columns; that is:
[0048] For evaluation matrix A 5×5 =(a ij For each row and column with the same index (i, j = 1, 2, 3, 4, 5), the influencing factors are the same.
[0049] Validity: If i > i′, then it must be true that... or i, i′, j0=1, 2, 3, 4, 5;
[0050] Alternatively, it holds true that if j > j′, then there must be: Or it must be i, i′, j0=1, 2, 3, 4, 5.
[0051] Preferably, in the comprehensive quantitative screening method for the proportion of mother liquor in the sand-containing fog sealing material, the element values of the evaluation matrix satisfy the following conditions:
[0052]
[0053] Where CI is the evaluation matrix A 5×5 The consistency index is RI, which is the arithmetic mean of the consistency indices of a sufficient number of randomly constructed 5th-order square matrices, and ε is a preset threshold.
[0054] Preferably, in the comprehensive quantitative screening method for the proportion of mother liquor in the sand-containing fog sealing material, step (5) involves evaluating the index value v of extremely large influencing factors. kl To obtain consistent scoring make
[0055]
[0056] For extremely small indicators v kl To obtain consistent scoring make
[0057]
[0058] In summary, compared with the prior art, the above-described technical solutions conceived by this invention can achieve the following beneficial effects:
[0059] Optimization based on experience or orthogonal experiments is insufficient for quantitatively ranking different mother liquor formulations from multiple perspectives, thus hindering the proper classification of their merits. This invention employs a comprehensive evaluation method that considers material performance from multiple angles. By combining this with quantitative analysis of specific application requirements, weighting coefficients are assigned to different performance characteristics. This comprehensive and quantitative evaluation assesses the degree to which the mother liquor formulation of sand-containing fog sealing materials meets specific application needs. This allows for the selection of suitable formulations from a batch of mother liquor formulations for specific applications, offering advantages of objectivity, fairness, and rationality. Furthermore, the quantitative calculation and ranking of different mother liquor formulations using a comprehensive performance index improves the systematicness and accuracy of mother liquor formulation optimization, providing a systematic and scientific theoretical support for mother liquor formulation optimization. Detailed Implementation
[0060] To make the objectives, technical solutions, and advantages of this invention clearer, the invention will be further described in detail below with reference to embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the invention. Furthermore, the technical features involved in the various embodiments of this invention described below can be combined with each other as long as they do not conflict with each other.
[0061] The present invention provides a method for quantitatively screening the mother liquor ratio of sand-containing fog sealing materials, comprising the following steps:
[0062] (1) Collect independent influencing factors affecting the construction difficulty, sand suspension capacity, bonding performance, durability and reflectivity of sand-containing fog seal materials;
[0063] The independent factor affecting the construction difficulty of the material is the Brinell viscosity;
[0064] The independent influencing factor on the material's sand-suspending capacity is the yield stress;
[0065] The independent influencing factor on the bonding performance of the material is the bonding strength;
[0066] The independent factor affecting the durability of the material is the abrasion value;
[0067] The independent factor affecting the reflectivity of the material is the degree of reflectivity;
[0068] (2) Based on the application requirements of using sand-containing fog seal materials, the relative importance scores of the independent influencing factors of construction difficulty, sand suspension capacity, bonding capacity, durability, and reflectivity obtained in step (1) are determined to establish an evaluation matrix. The evaluation matrix uses the independent influencing factors of construction difficulty, sand suspension capacity, bonding capacity, durability, and reflectivity as rows and columns, respectively. The value of each element is the ratio of the relative importance of the corresponding influencing factor in the column to the corresponding factor in the row to the application requirements. Preferably, the influencing factors in the rows and columns of the evaluation matrix are ordered in the same way, and the elements change monotonically according to the rows or columns, which can effectively avoid conflicting requirements. That is:
[0069] For evaluation matrix A 5×5 =(a ij For each row and column with the same index (i, j = 1, 2, 3, 4, 5), the influencing factors are the same.
[0070] Validity: If i > i′, then it must be true that... or i, i′, j0=1, 2, 3, 4, 5;
[0071] Alternatively, it holds true that if j > j′, then there must be: Or it must be i, i′, j0=1, 2, 3, 4, 5;
[0072] In a preferred embodiment, the element values of the evaluation matrix are adjusted to satisfy the following conditions:
[0073]
[0074] Where CI is the evaluation matrix A 5×5The consistency index is RI, which is the arithmetic mean of the consistency indices of a sufficient number of randomly constructed 5th order square matrices, and ε is a preset threshold, preferably 0.1.
[0075] The consistency index CI5 of a 5th-order square matrix is calculated as follows:
[0076] CI5=(λ max -5) / 4
[0077] Where λ is the largest eigenvalue of the inverse of the 5th order square matrix.
[0078] (3) For the evaluation matrix obtained in step (2), calculate its eigenvector ω and normalize it to obtain the evaluation weights w of the independent influencing factors of construction difficulty, sand suspension capacity, bonding capacity, durability and reflectivity. i i = 1, 2, 3, 4, 5;
[0079] (4) Obtain the formula ratio of the mother liquor of all sand-containing fog seal materials to be screened, and test the index values of independent influencing factors such as construction difficulty, sand suspension capacity, bonding capacity, durability and reflectivity.
[0080] (5) For the index values of the independent influencing factors obtained in step (4), according to the principle that the better the performance, the higher the score, the independent and consistent scoring is carried out within the same range to obtain the score value s of each independent influencing factor. i i = 1, 2, 3, 4, 5;
[0081] For the index value v of extremely large influencing factors kl To obtain consistent scoring make
[0082]
[0083] For extremely small indicators v kl To obtain consistent scoring make
[0084]
[0085] (6) For each of the multiple sand-containing fog seal material mother liquor ratios to be screened, assign scores s to the independent influencing factors s obtained in step (5) regarding construction difficulty, sand suspension capacity, adhesion, durability, and reflectivity. i The corresponding evaluation weight w obtained in step (3) i The weighted sum of these values is used as the comprehensive score ZI. Following the principle that a higher comprehensive score ZI is more likely to be selected, the mother liquor formula for sand-containing fog sealing materials is selected from all the multiple mother liquor formulas to be screened. Where: ZI = ∑ i s i w ii = 1, 2, 3, 4, 5.
[0086] The comprehensive quantitative screening system for the mother liquor ratio of sand-containing fog sealing materials provided by this invention includes an application requirement module, a matrix calculation module, a mother liquor ratio collection module, an independent evaluation module, and a comprehensive evaluation module.
[0087] The application requirements module is used to score the relative importance of independent influencing factors such as construction difficulty, sand suspension capacity, adhesion, durability, and reflectivity based on the application requirements of using sand-containing fog seal materials, determine the evaluation matrix, and submit the evaluation matrix to the matrix calculation module. The evaluation matrix has rows and columns for the independent influencing factors of construction difficulty, sand suspension capacity, adhesion, durability, and reflectivity, respectively, and the value of each element is the ratio of the relative importance of the corresponding influencing factor in the column to the relative importance of the corresponding factor in the row to the application requirements.
[0088] In a preferred embodiment, the influencing factors in the rows and columns of the evaluation matrix are ordered in the same way, and the elements change monotonically according to the rows or columns; that is:
[0089] For evaluation matrix A 5×5 =(a ij For each row and column with the same index (i, j = 1, 2, 3, 4, 5), the influencing factors are the same.
[0090] Validity: If i > i′, then it must be true that... or i, i′, j0=1, 2, 3, 4, 5;
[0091] Alternatively, it holds true that if j > j′, then there must be: Or it must be i, i′, j0=1, 2, 3, 4, 5.
[0092] In a preferred embodiment, the element values of the evaluation matrix satisfy the following conditions:
[0093]
[0094] Where CI is the evaluation matrix A 5×5 The consistency index is RI, which is the arithmetic mean of the consistency indices of a sufficient number of randomly constructed 5th-order square matrices, and ε is a preset threshold.
[0095] The matrix calculation module is used to calculate the eigenvector ω of the evaluation matrix and normalize it to obtain the evaluation weights w of the independent influencing factors of construction difficulty, sand suspension capacity, bonding capacity, durability, and reflectivity. i , i = 1, 2, 3, 4, 5, and submit them to the comprehensive evaluation module;
[0096] The mother liquor ratio collection module is used to obtain the mother liquor ratios of all the multiple sand-containing fog seal materials to be screened, test the index values of independent influencing factors such as construction difficulty, sand suspension capacity, bonding capacity, durability and reflectivity, and submit them to the independent evaluation module.
[0097] The independent evaluation module is used to assign consistent scores to the index values of independent influencing factors within the same range, based on the principle that the better the performance, the higher the score, thus obtaining the score s for each independent influencing factor. i , i = 1, 2, 3, 4, 5, and submit them to the comprehensive evaluation module;
[0098] For the index value v of extremely large influencing factors kl To obtain consistent scoring make
[0099]
[0100] For extremely small indicators v kl To obtain consistent scoring make
[0101]
[0102] The comprehensive evaluation module is used to assign scores (s) to the independent influencing factors s of construction difficulty, sand suspension capacity, adhesion, durability, and reflectivity for each of the multiple sand-containing fog seal material mother liquor ratios to be screened. l With corresponding evaluation weight w i The weighted sum of the values is used as the comprehensive score ZI. Based on the principle that the higher the comprehensive score ZI, the more likely it is to be selected, the mother liquor ratio of sand-containing fog seal material is selected from all the multiple mother liquor ratios of sand-containing fog seal material to be screened.
[0103] The independent factor affecting the construction difficulty of the material is the Brinell viscosity;
[0104] The independent influencing factor on the material's sand-suspending capacity is the yield stress;
[0105] The independent influencing factor on the bonding performance of the material is the bonding strength;
[0106] The independent factor affecting the durability of the material is the abrasion value;
[0107] The independent factor affecting the reflectivity of the material is the degree of reflectivity.
[0108] The following is an example:
[0109] A quantitative screening method for the proportion of mother liquor in sand-containing fog sealing materials includes the following steps:
[0110] (1) Collect independent influencing factors affecting the construction difficulty, sand suspension capacity, bonding performance, durability and reflectivity of sand-containing fog seal materials;
[0111] The influencing factors used in this embodiment are: Brinell viscosity, yield stress, bond strength, abrasion value, and reflectivity.
[0112] (2) Based on the application requirements of using sand-containing fog seal materials, the relative importance scores of the independent influencing factors of construction difficulty, sand suspension capacity, bonding capacity, durability and reflectivity obtained in step (1) are determined to form an evaluation matrix. The evaluation matrix is divided into rows and columns for the independent influencing factors of construction difficulty, sand suspension capacity, bonding capacity, durability and reflectivity, and the value of each element is the ratio of the relative importance of the corresponding influencing factor in the column to the relative importance of the corresponding factor in the row to the application requirements.
[0113] The evaluation matrix for this embodiment is shown in Table 1:
[0114] Table 1 Evaluation Matrix of Sand-Containing Fog Seal Materials
[0115] Determining the proportions Brinell viscosity Yield stress Bond strength Wear value reflectivity Brinell viscosity 1 3 3 5 7 Yield stress 1 / 3 1 1 3 5 Bond strength 1 / 3 1 1 3 5 Wear value 1 / 5 1 / 3 1 / 3 1 3 reflectivity 1 / 7 1 / 5 1 / 5 1 / 3 1
[0116] The value of the evaluation matrix for sand-containing fog seal materials represents the ratio of the relative importance of the corresponding influencing factors in its row and column. For example, element 'a' in the 1st row and 2nd column... 12 This refers to the relative importance of the yield stress, the influencing factor in the column, to the Brinell viscosity, the influencing factor in the row. A value of 3 means that, for the specific application requirements of this embodiment, the yield stress is more important than the Brinell viscosity. When the value of the element is 1, it means that the two influencing factors are equally important. When it is greater than 1, the larger the value, the more important the influencing factor in the row is. When it is less than 1, the smaller the value, the more important the influencing factor in the column is.
[0117] Therefore, in the evaluation matrix, we have: a ij ×a ji =1.
[0118] Sometimes conflicting needs arise. For example, when analyzing specific applications, some might consider construction difficulty more important than sand-suspending capacity, and sand-suspending capacity more important than bonding performance, while simultaneously considering bonding performance more important than construction difficulty. This makes it impossible to quantify and agree on the importance of each influencing factor. To ensure the rationality of the needs and avoid contradictory requirements, the influencing factors in the rows and columns of the evaluation matrix are ranked in the same order, resulting in a... ii =1, and the elements change monotonically according to the row or column, that is, for any row, the element value increases or decreases as the column number increases; in this embodiment, it increases; because a in the evaluation matrix ij ×a ji=1, therefore for any column, the element value decreases or increases as the row number increases.
[0119] A certain degree of inconsistency is permissible in the evaluation matrix. For example, assuming yield stress is 3 as important as Brinell viscosity and bond strength is 3 as important as yield stress does not necessarily mean bond strength is 9 as important as Brinell viscosity. This degree of inconsistency is acceptable because relative importance is difficult to accurately evaluate and calculate numerically. However, this inconsistency should not be excessive; otherwise, it resembles contradictory requirements, making it difficult to obtain weights that reflect objective needs. Therefore, it is necessary to determine whether the degree of inconsistency is reasonable.
[0120] In this embodiment, the degree of inconsistency is considered to be within a reasonable range when the element values of the evaluation matrix meet the following conditions:
[0121]
[0122] Where CI is the evaluation matrix A 5×5 The consistency index is RI, which is the arithmetic mean of the consistency indices of a sufficient number of randomly constructed 5th-order square matrices, and ε is a preset threshold, which is 0.1 in this embodiment.
[0123] Based on the above formula, 500 fifth-order square matrices were constructed, and a calculation was performed to obtain: CI = 0.0317, CR = 0.0283 < ε, which indicates that the degree of inconsistency is within a reasonable range.
[0124] If the constructed evaluation matrix does not satisfy CR < ε, then the element values need to be adjusted until they are satisfied.
[0125] (3) For the evaluation matrix obtained in step (2), calculate its eigenvector ω and normalize it to obtain the evaluation weights w of the independent influencing factors of construction difficulty, sand suspension capacity, bonding capacity, durability and reflectivity. i i = 1, 2, 3, 4, 5;
[0126] The eigenvector ω of the evaluation matrix is calculated as follows: eigenvector ω = (0.4691 0.2010 0.2010 0.0862 0.0427)T;
[0127] The weights for the Brinell viscosity, yield stress, bond strength, abrasion value, and reflectivity were obtained as follows: 0.4691, 0.2010, 0.2010, 0.0862, and 0.0427, respectively.
[0128] (4) Obtain the formula ratio of the mother liquor of all sand-containing fog seal materials to be screened, and test the index values of independent influencing factors such as construction difficulty, sand suspension capacity, bonding capacity, durability and reflectivity.
[0129] A mother liquor was prepared using emulsified asphalt, tackifier, thickener, clay, and rheology modifier. This mother liquor was then used to prepare a sand-containing fog seal material from quartz sand. The results of various material properties for different mix proportions are shown in Table 2 below.
[0130] Table 2. Index values of independent influencing factors of the proportion of mother liquor in sand-containing fog sealing materials
[0131] plan Brinell viscosity (cP) Yield stress (Pa) Bond strength (MPa) <![CDATA[Wear value (g / m 2 )]]> reflectivity 1 84 0.01 0.04 839 Strong reflection 2 164 0.14 0.06 741 Obvious reflection 3 245 0.31 0.14 667 Obvious reflection 4 458 0.47 0.54 318 General reflection 5 677 0.76 0.66 244 Slightly reflective 6 348 0.41 0.42 468 General reflection 7 945 1.04 1.24 75 Matte 8 818 1.12 1.48 95 Slightly reflective 9 581 0.64 0.84 144 General reflection 10 753 1.32 0.97 104 Matte
[0132] (5) For the index values of the independent influencing factors obtained in step (4), according to the principle that the better the performance, the higher the score, the independent and consistent scoring is carried out within the same range to obtain the score value s of each independent influencing factor. i i = 1, 2, 3, 4, 5;
[0133] In order to reflect the actual situation as accurately as possible, eliminate the influence of different types, units or orders of magnitude of various indicators, and avoid unreasonable evaluation results, the range transformation method is used to standardize the indicators.
[0134] The range variation method handles different indicators as follows:
[0135] For the three extremely large influencing factors, namely Brinell viscosity, yield stress, and bond strength, the value of v is... kl ,make
[0136]
[0137] For wear value, such a very small indicator make
[0138]
[0139] For the very small qualitative description of reflectivity, the quantitative score is as follows:
[0140]
[0141] The results of the standardization process are shown in Table 3 below:
[0142] Table 3 Consistency Index of Independent Influencing Factors on the Proportion of Mother Liquor for Sand-Containing Fog Seal Materials
[0143] plan VI SI BI WI RI 1 0 0 0 0 0 2 0.09 0.1 0.01 0.12 0.3 3 0.19 0.23 0.07 0.22 0.3 4 0.43 0.35 0.35 0.65 0.5 5 0.69 0.57 0.43 0.75 0.7 6 0.31 0.31 0.26 0.46 0.5 7 1 0.79 0.83 0.96 1 8 0.85 0.85 1 1 0.7 9 0.58 0.48 0.56 0.87 0.5 10 0.78 1 0.65 0.92 1
[0144] (6) For each of the multiple sand-containing fog seal material mother liquor ratios to be screened, assign scores s to the independent influencing factors s obtained in step (5) regarding construction difficulty, sand suspension capacity, adhesion, durability, and reflectivity. i The corresponding evaluation weight w obtained in step (3)i The weighted sum of these values is used as the comprehensive score ZI. Following the principle that a higher comprehensive score ZI is more likely to be selected, the mother liquor formula for sand-containing fog sealing materials is selected from all the multiple mother liquor formulas to be screened. Where: ZI = ∑ i s i w i i = 1, 2, 3, 4, 5.
[0145] The comprehensive evaluation results of the mother liquor ratio for sand-containing fog seal material are shown in Table 4:
[0146] Table 4 Comprehensive Evaluation of Mother Liquor Proportion for Sand-Containing Fog Seal Material
[0147]
[0148] As shown in the table above, among the ten proportioning schemes, scheme 7 has the highest ZI value, making it the optimal proportion among the above schemes.
[0149] Comparative Example
[0150] A mother liquor was prepared using emulsified asphalt, tackifier, thickener, clay, and rheology modifier. This mother liquor was then used to prepare a sand-containing fog seal material from quartz sand. The optimal mix design was determined using an orthogonal experimental method for different material properties, and the results are shown in Table 5 below.
[0151] Table 5
[0152]
[0153]
[0154] The results of the comparative experiments show that, apart from the degree of reflectivity, the results for other performance indicators of the optimal scheme differ for different criteria. Moreover, orthogonal experiments also struggle to differentiate indicators such as the degree of reflectivity. Therefore, orthogonal experiments are difficult to conduct comprehensive evaluations of multiple factors and performance characteristics, and are insufficient for comparing and selecting appropriate mother liquor formulation schemes.
[0155] Compared with the comparative example, the embodiment can not only comprehensively quantify multiple factors and multiple performances, but also combine practical application needs, use the analytic hierarchy process to assign weights to different performance indicators, and use a unified index to comprehensively evaluate the multiple performances of the formulation, thereby ranking the superiority and inferiority of different formulation schemes and completing the comparison and selection of mother liquor schemes.
[0156] Those skilled in the art will readily understand that the above description is merely a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, and improvements made within the spirit and principles of the present invention should be included within the scope of protection of the present invention.
Claims
1. A comprehensive quantitative screening method for the proportion of mother liquor in sand-containing fog sealing materials, characterized in that, Includes the following steps: (1) Collect independent influencing factors affecting the construction difficulty, sand suspension capacity, bonding performance, durability and reflectivity of sand-containing fog seal materials; The independent factor affecting the construction difficulty of the material is the Brinell viscosity; The independent influencing factor on the material's sand-suspending capacity is the yield stress; The independent influencing factor on the bonding performance of the material is the bonding strength; The independent factor affecting the durability of the material is the abrasion value; The independent factor affecting the reflectivity of the material is the degree of reflectivity; (2) Based on the application requirements of using sand-containing fog seal material, the relative importance scores of the independent influencing factors of construction difficulty, sand suspension capacity, bonding capacity, durability and reflectivity obtained in step (1) are determined to form an evaluation matrix; the evaluation matrix is divided into rows and columns for the independent influencing factors of construction difficulty, sand suspension capacity, bonding capacity, durability and reflectivity, and the value of each element is the ratio of the relative importance of the corresponding influencing factor in the column to the corresponding factor in the row to the application requirements. (3) For the evaluation matrix obtained in step (2), calculate its eigenvector. Then, normalization was performed to obtain the evaluation weights of the independent influencing factors of construction difficulty, sand suspension capacity, bonding ability, durability, and reflectivity. , ; (4) Obtain the formula ratio of the mother liquor for all sand-containing fog seal materials to be screened, and test the index values of independent influencing factors such as construction difficulty, sand suspension capacity, bonding capacity, durability and reflectivity; (5) For the index values of the independent influencing factors obtained in step (4), according to the principle that the better the performance, the higher the score, the independent and consistent scoring is carried out within the same range to obtain the score value of each independent influencing factor. , ; (6) For each of the multiple sand-containing fog seal material mother liquor ratios to be screened, score the independent influencing factors of construction difficulty, sand suspension capacity, bonding capacity, durability and reflectivity obtained in step (5). The corresponding evaluation weights obtained in step (3) The weighted sum is used as the overall score. According to the comprehensive score Following the principle that the higher the ratio, the more likely it is to be selected, the mother liquor ratio for sand-containing fog seal materials was selected from all the multiple mother liquor ratios to be screened.
2. The comprehensive quantitative screening method for the proportion of mother liquor in sand-containing fog sealing materials as described in claim 1, characterized in that, The evaluation matrix has the same order of influencing factors in both rows and columns, and the elements change monotonically according to the rows or columns. Right now: For the evaluation matrix Rows and columns with the same serial number are considered to be the same influencing factors; Established: If Then there must be or , ; Or it is true: if so Then there must be Or it must be , .
3. The comprehensive quantitative screening method for the proportion of mother liquor in sand-containing fog sealing materials as described in claim 1, characterized in that, The element values of the evaluation matrix satisfy the following conditions: ; in For the evaluation matrix Consistency indicators The arithmetic mean of the consistency index of a sufficiently large number of randomly constructed 5th-order square matrices. This is the preset threshold.
4. The comprehensive quantitative screening method for the proportion of mother liquor in sand-containing fog sealing materials as described in claim 1, characterized in that, Step (5) involves the index values of extremely large influencing factors. To obtain consistent scoring ,make ; For very small indicators To obtain consistent scoring ,make 。 5. A comprehensive quantitative screening system for the proportioning of mother liquor in sand-containing fog sealing materials, characterized in that, It includes an application requirements module, a matrix calculation module, a mother liquor ratio collection module, an independent evaluation module, and a comprehensive evaluation module; The application requirements module is used to score the relative importance of independent influencing factors such as construction difficulty, sand suspension capacity, adhesion, durability, and reflectivity based on the application requirements of using sand-containing fog seal materials, determine the evaluation matrix, and submit the evaluation matrix to the matrix calculation module. The evaluation matrix has rows and columns for the independent influencing factors of construction difficulty, sand suspension capacity, adhesion, durability, and reflectivity, respectively, and the value of each element is the ratio of the relative importance of the corresponding influencing factor in the column to the relative importance of the corresponding factor in the row to the application requirements. The independent factor affecting the construction difficulty of the material is the Brinell viscosity; The independent influencing factor on the material's sand-suspending capacity is the yield stress; The independent influencing factor on the bonding performance of the material is the bonding strength; The independent factor affecting the durability of the material is the abrasion value; The independent factor affecting the reflectivity of the material is the degree of reflectivity; The matrix calculation module is used to calculate the eigenvectors of the evaluation matrix. Then, normalization was performed to obtain the evaluation weights of the independent influencing factors of construction difficulty, sand suspension capacity, bonding ability, durability, and reflectivity. , And submit it to the comprehensive evaluation module; The mother liquor ratio collection module is used to obtain the mother liquor ratios of all the multiple sand-containing fog seal materials to be screened, test the index values of independent influencing factors such as construction difficulty, sand suspension capacity, bonding capacity, durability and reflectivity, and submit them to the independent evaluation module. The independent evaluation module is used to assign consistent scores to the index values of independent influencing factors within the same range, based on the principle that the better the performance, the higher the score, thus obtaining the score value for each independent influencing factor. , And submit it to the comprehensive evaluation module; The comprehensive evaluation module is used to score the independent influencing factors of construction difficulty, sand suspension capacity, adhesion, durability, and reflectivity for each of the multiple sand-containing fog seal material mother liquor ratios to be screened. With corresponding evaluation weights The weighted sum is used as the overall score. According to the comprehensive score Following the principle that the higher the ratio, the more likely it is to be selected, the mother liquor ratio for sand-containing fog seal materials was selected from all the multiple mother liquor ratios to be screened.
6. The comprehensive quantitative screening system for the proportion of mother liquor in sand-containing fog sealing materials as described in claim 5, characterized in that, The evaluation matrix has the same order of influencing factors in both rows and columns, and the elements change monotonically according to the rows or columns. Right now: For the evaluation matrix Rows and columns with the same serial number are considered to be the same influencing factors; Established: If Then there must be or , ; Or it is true: if so Then there must be Or it must be , .
7. The comprehensive quantitative screening system for the proportion of mother liquor in sand-containing fog sealing materials as described in claim 5, characterized in that, The element values of the evaluation matrix satisfy the following conditions: ; in For the evaluation matrix Consistency indicators The arithmetic mean of the consistency index of a sufficiently large number of randomly constructed 5th-order square matrices. This is the preset threshold.
8. The comprehensive quantitative screening system for the proportion of mother liquor in sand-containing fog sealing materials as described in claim 5, characterized in that, The independent evaluation module evaluates the index values of extremely large influencing factors. To obtain consistent scoring ,make ; For very small indicators To obtain consistent scoring ,make 。
Citation Information
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