Formulation design method, apparatus, and computer readable storage medium
By using a formulation design method based on calcareous solid waste, phosphogypsum, and red mud as raw materials, and employing mathematical models to predict the performance of all-solid-waste cementitious materials, this approach solves the problems of high difficulty and cost in formulation design in existing technologies. It enables efficient formulation screening and production guidance, and promotes the development of all-solid-waste cementitious materials.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- WUHAN UNIV OF TECH
- Filing Date
- 2025-10-13
- Publication Date
- 2026-07-21
AI Technical Summary
Existing technologies lack methods for predicting the performance of all-solid-waste cementitious materials, resulting in high difficulty and cost in formula design. Furthermore, the acidity and alkalinity differences and impurities in industrial solid waste have a significant impact, making it difficult to control the stability of the cementitious system.
Using calcareous solid waste, phosphogypsum, and red mud as raw materials, the relationship between formulation data and performance data was predicted using Formula 1. The formulation was designed using the formula CS=K×(45.57-5.31×A+4.52×B+16.45×C+3.36×AB+0.0875×AC-4.45×BC-28.26×A²-4.80×B²-9.35×C²+0.9375×A²B-17.19×A²C+4.83×AB²). A mathematical model was established to make accurate predictions by combining calcination temperature and raw material content correction values.
It enables accurate prediction of the properties of solid waste cementitious materials, reduces the difficulty and cost of formula design, improves the efficiency of industrial solid waste resource development and utilization, and reduces the defect rate and production cost.
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Abstract
Description
Technical Field
[0001] This invention relates to the field of cementitious materials technology, and more specifically to a formulation design method, apparatus, and computer-readable storage medium. Background Technology
[0002] With the acceleration of industrialization, the treatment and resource utilization of industrial solid waste has become an urgent problem to be solved. Calcium carbide slag, red mud, and phosphogypsum, as common industrial solid wastes, not only occupy land when accumulated in large quantities, but also pose potential environmental hazards. In recent years, the preparation of cementitious materials using these industrial solid wastes has gradually become a research hotspot.
[0003] However, due to the numerous unfavorable components and extreme pH variations inherent in industrial solid waste, coupled with the influence of various processing conditions, the overall stability of the cementitious system is difficult to control when using it as a raw material for all-solid-waste cementitious materials. Furthermore, the lack of predictive methods for the performance of all-solid-waste cementitious materials in current technologies makes it difficult for R&D and production personnel to accurately assess the performance of current formulations before actual production. This increases the production and time costs of formulation design, leads to resource waste, and limits the development of all-solid-waste cementitious materials. Summary of the Invention
[0004] In view of the technical problems existing in the background art, this application provides a formulation design method, apparatus and computer-readable storage medium, which aims to provide a prediction method that can predict the relationship between the formulation and performance of cementitious materials, and help reduce the difficulty and cost of formulation design.
[0005] In a first aspect, embodiments of this application propose a formulation design method for a cementitious material, wherein the raw materials for the cementitious material are composed of calcareous solid waste, phosphogypsum, and red mud, and the formulation design method for the cementitious material includes the following steps:
[0006] Obtain input values, wherein the input values are one of the formulation data and performance data of the cementitious material; the performance data is the 3d compressive strength CS, and the formulation data is the calcination temperature F and the correction values x, y, and z of the content of the calcium solid waste, phosphogypsum, and red mud in the raw materials;
[0007] Based on Formula 1 and the input value, the output value is predicted, where the output value is the other of the formula data and the performance data.
[0008] Wherein, Formula 1 is: CS = K × (45.57 - 5.31 × A + 4.52 × B + 16.45 × C + 3.36 × AB + 0.0875 × AC - 4.45 × BC - 28.26 × A² - 4.80 × B² - 9.35 × C² + 0.9375 × A²B - 17.19 × A²C + 4.83 × AB²); and K, F, A, B, C, x, y, z satisfy:
[0009] K = 3 - lg(1300 - F);
[0010] ;
[0011] ;
[0012] .
[0013] In some embodiments, the values of A, B, and C are all in the range of -1 to 1, and the value of K is in the range of 0.82 to 1.
[0014] In some embodiments, the input value is the recipe data, and the output value is the performance data.
[0015] In some embodiments, the steps of obtaining the content correction value x of the calcium solid waste, the content correction value y of the phosphogypsum, and the content correction value z of the red mud in the raw materials include:
[0016] Obtain the equivalent content X of the calcium solid waste (calculated as calcium hydroxide), the content Y of the phosphogypsum, and the content Z of the red mud in the raw materials;
[0017] Normalize X, Y, and Z to obtain x, y, and z.
[0018] In some embodiments, the calcareous solid waste includes at least one of carbide slag, marble waste, and limestone waste.
[0019] In some embodiments, when obtaining the equivalent content X of the calcium solid waste in the raw material as calcium hydroxide, the calcium hydroxide content in the carbide slag is recorded as 100%.
[0020] In some embodiments, the step of obtaining the equivalent content X of the calcium-containing solid waste in the raw material, calculated as calcium hydroxide, includes:
[0021] Obtain the component information of the calcareous solid waste and the content M of the calcareous solid waste in the raw material. The component information includes the mass percentage content a1, a2, ... a1 of several components in the calcareous solid waste, excluding the carbide slag. n And the mass percentage of calcium carbonate in each of the aforementioned components, b1, b2, ... b n ;
[0022] X is calculated using Formula 2;
[0023] Formula 2 is: .
[0024] In some embodiments, F is 1150~1200℃.
[0025] Secondly, embodiments of this application propose a recipe design apparatus, which includes a memory, a processor, and a recipe design program stored in the memory and executable on the processor. The recipe design program is configured to implement the steps of the recipe design method described above.
[0026] Secondly, embodiments of this application propose a computer-readable storage medium storing computer program instructions thereon, which, when executed by a processor, implement the steps of the recipe design method described above.
[0027] The formulation design method proposed in this application identifies key variables in the formulation that affect the performance of all-solid-waste cementitious materials. It also proposes a mathematical model that can accurately predict the relationship between formulation and performance. Based on this model, it is possible to predict the performance of a given formulation, assess the merits of the current formulation in advance, facilitate formulation pre-screening, and use it as production guidance in actual production to reduce the defect rate. Furthermore, it can achieve reverse design of formulations under required performance conditions, obtaining formulation designs that meet performance requirements through a comprehensive screening process. This helps narrow down the formulation screening range, reduce the number of actual measurements, and lower the difficulty and cost of formulation design. This contributes to the development and utilization of industrial solid waste resources and the development of all-solid-waste cementitious materials. Detailed Implementation
[0028] The embodiments of the technical solution of this application will be described in detail below. The following embodiments are only used to illustrate the technical solution of this application more clearly, and are therefore only examples, and should not be used to limit the scope of protection of this application.
[0029] Unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application pertains; the terminology used herein is for the purpose of describing particular embodiments only and is not intended to limit the application; the terms “comprising” and “having”, and any variations thereof, in the specification and claims of this application are intended to cover non-exclusive inclusion.
[0030] Various embodiments of this application may exist in the form of a range; it should be understood that the description in the form of a range is merely for convenience and brevity and should not be construed as a hard limitation on the scope of this application; therefore, it should be considered that the range description has specifically disclosed all possible sub-ranges and single numerical values within that range. For example, it should be considered that the range description from 1 to 6 has specifically disclosed sub-ranges such as from 1 to 3, from 1 to 4, from 1 to 5, from 2 to 4, from 2 to 6, from 3 to 6, etc., and single numbers within the range, such as 1, 2, 3, 4, 5, and 6, regardless of the range. Furthermore, whenever a numerical range is referred to herein, it means including any referenced number (fraction or integer) within the referred range.
[0031] In this document, the term "embodiment" means that a particular feature, structure, or characteristic described in connection with an embodiment may be included in at least one embodiment of this application. The appearance of this phrase in various places throughout the specification does not necessarily refer to the same embodiment, nor is it a separate or alternative embodiment mutually exclusive with other embodiments. It will be explicitly and implicitly understood by those skilled in the art that the embodiments described herein can be combined with other embodiments.
[0032] In the description of the embodiments in this application, the term "and / or" is merely a description of the relationship between related objects, indicating that three relationships can exist. For example, A and / or B can represent: A existing alone, A and B existing simultaneously, and B existing alone. Additionally, the character " / " in this document generally indicates that the preceding and following related objects have an "or" relationship.
[0033] In the description of the embodiments of this application, the term "at least one" refers to one or more, "more than one" refers to two or more (including two), similarly, "multiple sets" refers to two or more (including two sets), and "multiple pieces" refers to two or more (including two pieces). "At least one," "at least one of the following," or similar expressions refer to any combination of these items, including any combination of single or multiple items. For example, "at least one of a, b, or c," or "at least one of a, b, and c," can all represent: a, b, c, ab (i.e., a and b), ac, bc, or abc, where a, b, and c can be single or multiple.
[0034] Currently, the formulation design of cementitious materials typically relies on theoretical speculation and trial-and-error, that is, judging the key variables in the formulation and the possible value ranges of each variable based on experience and theory, and then designing a large number of formulations through permutations and combinations, followed by practical testing. This process often requires a lot of trial and error, which not only consumes a lot of raw material costs, energy consumption, and time, but is also prone to misleading research directions due to fixed mindsets. These problems are even more pronounced in the research and development of cementitious materials based on all-solid waste. Industrial solid waste contains many harmful impurities and has extreme acidity and alkalinity, which have a significant and unstable impact on the performance of cementitious materials. In the cementitious system based on all-solid waste, the interaction system is more complex, making the performance of cementitious materials more difficult to predict, increasing the difficulty of formulation design and quality control in material production.
[0035] Therefore, this application proposes a formulation design method for a cementitious material, wherein the raw materials for the cementitious material are composed of calcareous solid waste, phosphogypsum, and red mud. The formulation design method for the cementitious material includes the following steps:
[0036] S10, Obtain an input value, wherein the input value is one of the formulation data and performance data of the cementitious material;
[0037] S20, based on Formula 1 and the input value, the output value is predicted, where the output value is the other of the formula data and the performance data;
[0038] The performance data is the 3d compressive strength CS, and the formulation data is the calcination temperature F, as well as the correction values x, y, and z of the content of the calcium solid waste, phosphogypsum, and red mud in the raw materials.
[0039] Formula 1 is: CS = K × (45.57 - 5.31 × A + 4.52 × B + 16.45 × C + 3.36 × AB + 0.0875 × AC - 4.45 × BC - 28.26 × A² - 4.80 × B² - 9.35 × C² + 0.9375 × A²B - 17.19 × A²C + 4.83 × AB²); and K, F, A, B, C, x, y, z satisfy:
[0040] K = 3 - lg(1300 - F);
[0041] ;
[0042] ;
[0043] .
[0044] As can be understood, the formulation data in this article refers to all elements including process steps and conditions, as well as raw material composition. Therefore, the formulation data includes data related to raw material composition such as x, y, and z, as well as data related to process conditions and calcination temperature F. Among them, x, y, and z refer to the normalized correction values of the content of each component.
[0045] To facilitate understanding of this scheme, the formula for this cementitious material is also presented here: A raw material is prepared by mixing calcium solid waste (mass percentage M), phosphogypsum (mass percentage Y), and red mud (mass percentage Z), where the sum of M, Y, and Z is 100%. The raw material is then pressed, calcined, cooled, and pulverized to obtain the cementitious material. Here, X refers to the mass percentage of calcium solid waste in the raw material, calculated as calcium hydroxide, and is designated as the equivalent content; Y refers to the mass percentage of phosphogypsum in the raw material; and Z refers to the mass percentage of red mud in the raw material.
[0046] The formulation design method proposed in this application identifies key variables (content of three raw materials and calcination temperature) that affect the performance of solid waste cementitious materials in the formulation. It also proposes a mathematical model that can accurately predict the relationship between the formulation and performance. This mathematical model has high accuracy and the error between the predicted data and the measured data is small, which can be basically controlled within 10%. It is of great significance for formulation design and actual production.
[0047] In some embodiments, based on this mathematical model, given product requirements (e.g., performance data of cementitious materials), several formulations meeting the performance data requirements can be searched through a comprehensive screening process. Thus, by simply preparing and testing these formulations, the optimal ratio can be selected, achieving reverse engineering of the formulation. This helps narrow down the formulation screening range, reduce the number of actual tests, and lower the difficulty and cost of formulation design. It also contributes to the development and utilization of industrial solid waste resources and the development of cementitious materials for all solid waste. Specifically, in this embodiment, the formulation design method for the cementitious material includes the following steps:
[0048] S10a, Obtain the input value, wherein the input value is the performance data of the cementitious material;
[0049] S20b, based on Formula 1 and the input value, predicts the output value, which is the formula data of the cementitious material.
[0050] In other embodiments, based on this mathematical model, given a formulation (i.e., the formulation currently being tested or produced), the performance of the gelling material based on that formulation can be predicted. This allows for the assessment of the current formulation's merits before actual preparation, facilitating pre-screening of multiple formulations during the formulation design phase. This reduces the number of formulations requiring actual preparation and testing, lowers the difficulty and cost of formulation design, promotes the development and utilization of industrial solid waste resources, and contributes to the development of all-solid-waste gelling materials. Furthermore, it serves as a production guide in actual production, predicting the performance of materials currently or to be produced, preventing losses in a timely manner, reducing defect rates, and lowering production costs. Specifically, in this embodiment, the gelling material formulation design method includes the following steps:
[0051] S10b, Obtain the input value, wherein the input value is the formula data of the cementitious material;
[0052] S20b, based on Formula 1 and the input value, predicts the output value, which is the performance data of the cementitious material.
[0053] In some embodiments, the values of A, B, and C are all in the range of -1 to 1, that is, values greater than or equal to -1 and less than or equal to 1; the value of K is in the range of 0.82 to 1, that is, values greater than or equal to 0.82 and less than or equal to 1. When the control variable data are within the above ranges, the relationship between the performance data and the formulation data reflected by Formula 1 is more accurate.
[0054] In some embodiments, calcareous solid waste materials refer to industrial solid waste materials whose main component is calcium-containing compounds, such as, but not limited to, at least one of calcium carbide slag, marble waste, and limestone waste. Calcium carbide slag refers to industrial waste residue obtained by hydrolyzing calcium carbide during acetylene gas production, with calcium hydroxide (Ca(OH)2) as its main component. Marble waste refers to solid waste generated during marble mining, processing, and application. Limestone waste refers to solid waste generated during limestone mining, processing, and application; both are solid wastes with calcium carbonate (CaCO3) as their main component. The formulation design method proposed in this application is applicable to situations using single or multiple different calcareous solid wastes, and has wide application and high applicability.
[0055] In some embodiments, the relationship between K and calcination temperature F satisfies: K = 3 - lg(1300 - F). To improve the accuracy of performance prediction by this method, F can be controlled at 1150~1200℃.
[0056] When the input value is formula data and the output value is performance data, i.e., predicting the performance of a given formula, step S10 involves obtaining the calcination temperature F and the correction values x (content of calcium solid waste), y (content of phosphogypsum), and z (content of red mud) in the raw materials. Accordingly, the formula design method may specifically include:
[0057] Obtain the calcination temperature F;
[0058] The calcination temperature correction coefficient K is calculated using the formula K=3-lg(1300-F).
[0059] Obtain the equivalent content X of the calcium solid waste (calculated as calcium hydroxide), the content Y of the phosphogypsum, and the content Z of the red mud in the raw materials;
[0060] Normalize X, Y, and Z to obtain x, y, and z; where:
[0061] , ,
[0062] Based on Formulas I, II, and III, the correction coefficients A for calcium solid waste content, B for phosphogypsum content, and C for red mud content are calculated.
[0063] Based on Formula 1, A, B, C, and K, the output value is predicted, and the output value is the performance data of the cementitious material.
[0064] in:
[0065] Formula I is: ;
[0066] Formula II is: ;
[0067] Formula III is: .
[0068] In the technical solutions proposed in this application, since calcareous solid waste can be different types of single components, and the impact of different components on performance may have slight differences, the inventors found in their research that, based on the composition of the calcareous solid waste, its content is equivalently converted and corrected, and then normalized to obtain a corrected value x for prediction, which helps to improve the accuracy of prediction. Further, in some embodiments, when obtaining the equivalent content X of the calcareous solid waste in the raw material as calcium hydroxide, the calcium hydroxide content in the carbide slag is recorded as 100%; if the carbide slag, which has the most significant impact on the cementing system, is taken as the core element, its content is not equivalently converted, but the amount of limestone waste and marble waste added in the formula is equivalently converted (as calcium hydroxide), and the equivalent content X after equivalent conversion is used in the prediction, the accuracy of the obtained performance data is higher.
[0069] In specific implementation, the step of obtaining the equivalent content X of the calcium solid waste in the raw material, calculated as calcium hydroxide, may include:
[0070] Obtain the component information of the calcareous solid waste and the content M of the calcareous solid waste in the raw material. The component information includes the mass percentage content a1, a2, ... a1 of several components in the calcareous solid waste, excluding the carbide slag. n And the mass percentage of calcium carbonate in each of the aforementioned components, b1, b2, ... b n ;
[0071] X is calculated using Formula 2;
[0072] Formula 2 is: .
[0073] It is understandable that when a formula contains multiple types of limestone or marble waste with different calcium carbonate contents, each type of waste with different calcium carbonate contents is counted as one type, and n represents the number of types of waste contained in the formula according to the classification criteria of waste type and calcium carbonate content. For example, when the formula contains 30% calcareous solid waste, which contains 60% carbide slag, 10% of the first type of marble waste (calcium carbonate content of 95%), 10% of the second type of marble waste (calcium carbonate content of 95.6%), 10% of the third type of marble waste (calcium carbonate content of 97%), and 10% of limestone waste (calcium carbonate content of 98%), n is 4, M is 30%, and X = 30% × 60% + 30% × 0.741 × (10% × 95% + 10% × 95.6% + 10% × 97% + 10% × 98%), that is, X ≈ 26.57%.
[0074] Furthermore, to achieve the above objectives, the present invention also proposes a recipe design apparatus, comprising: a memory, a processor, and a recipe design program stored in the memory and executable on the processor, the recipe design program being configured to implement the steps of the recipe design method described above. The processor provides computational and control capabilities and may be an integrated circuit chip with signal processing capabilities.
[0075] Since this formulation design device adopts all the technical solutions of all the above embodiments, it has at least all the beneficial effects brought about by the technical solutions of the above embodiments, which will not be repeated here.
[0076] Furthermore, embodiments of this application also propose a computer-readable storage medium, which may be a ROM, random access memory (RAM), magnetic tape, floppy disk, or optical data storage device, etc. The computer-readable storage medium stores computer program instructions, which, when executed by a processor, implement the steps of the recipe design method described above.
[0077] Since this storage medium adopts all the technical solutions of all the above embodiments, it has at least all the beneficial effects brought about by the technical solutions of the above embodiments, which will not be repeated here.
[0078] The following are some specific embodiments. It should be noted that the embodiments described below are exemplary and are only used to explain this application, and should not be construed as limiting this application. Where specific techniques or conditions are not specified in the embodiments, they shall be performed in accordance with the techniques or conditions described in the literature in this field or according to the product instructions. Reagents or instruments whose manufacturers are not specified are all conventional products that can be obtained commercially.
[0079] Example 1
[0080] (1) Given formula information:
[0081] The raw material composition of the given formula is: 35% carbide slag, 36% phosphogypsum, and 29% red mud.
[0082] The calcination temperature for the given formula is 1200℃.
[0083] (2) Predicting performance data based on a given formulation:
[0084] Based on the above formula, the calcination temperature F of the formula in this embodiment is 1200℃. According to the formula IVK=3-lg(1300-F), K=1 is calculated.
[0085] According to the above formula, the equivalent content of calcium solid waste X in the raw materials of this embodiment is 35%, the content of phosphogypsum Y is 36%, and the content of red mud Z is 29%. After normalization, x=35%, y=36%, and z=29%.
[0086] According to formulas I to III:
[0087] , , The calculations show that A=0, B=0.114, and C=0.814.
[0088] According to formula CS=K×(45.57-5.31×A+4.52×B+16.45×C+3.36×AB+0.0875×AC-4.45×BC-28.26×A²-4.80×B²-9.35×C²+0.9375×A²B-17.19×A²C+4.83×AB²), CS=52.81MPa is calculated.
[0089] (3) Examination of the accuracy of the prediction method
[0090] According to the given formula (35% carbide slag, 36% phosphogypsum, 29% red mud), calcareous waste, phosphogypsum, and red mud were prepared separately and set aside. The carbide slag, phosphogypsum, and red mud were then ground separately, controlling the specific surface area of the carbide slag powder to be 340 m². 2 / kg, the specific surface area of phosphogypsum is 280m². 2 / kg, the specific surface area of red mud is 240m². 2 / kg. The three powders are mixed evenly to obtain a mixed raw meal. The mixed raw meal is pressed at 8 MPa for 30 seconds to obtain a cake-shaped pressed material. Then, it is calcined at 1200℃ for 30 minutes. After calcination, it is quickly transferred to room temperature (approximately 25℃) for cooling to obtain clinker. The clinker is ground to a specific surface area of 300 m². 2 / kg, yielding all-solid waste-based cementitious material powder.
[0091] The 3-day compressive strength of the cementitious material was tested according to the testing method provided in GB / T 37125-2018. The actual 3-day compressive strength of the cementitious material in this embodiment was measured to be 55.4 MPa. The relative error between this value and the predicted value of 52.81 MPa is (55.4-52.81) / 55.4×100%=4.7%<10%, which is small. This indicates that the performance prediction made by the formulation design method proposed in this application is accurate.
[0092] Example 2
[0093] (1) Given formula information:
[0094] The raw material composition of the given formula is: 32% carbide slag, 40% phosphogypsum, and 28% red mud.
[0095] The calcination temperature for the given formula is 1200℃.
[0096] (2) Predicting performance data based on a given formulation:
[0097] Based on the above formula, the calcination temperature F of the formula in this embodiment is 1200℃, and K=1 is calculated according to formula IV.
[0098] According to the above formula, the equivalent content of calcium solid waste X in the raw materials of this embodiment is 32%, the content of phosphogypsum Y is 40%, and the content of red mud Z is 28%. After normalization, x=32%, y=40%, and z=28%.
[0099] Based on formulas I, II, and III, we can calculate that A=0, B=1, and C=1.
[0100] According to Formula 1, CS = 47.94 MPa is calculated.
[0101] (3) Examination of the accuracy of the prediction method
[0102] The cementitious material was prepared according to the raw material composition (32% carbide slag, 40% phosphogypsum, and 28% red mud) and calcination temperature in the given formula, following the preparation steps given in Example 1 (3) (all other steps and conditions were the same as in Example 1), and the 3d compressive strength of the cementitious material was tested according to the testing method in Example 1. The actual 3d compressive strength of the cementitious material in this example was measured to be 47.4 MPa, and the relative error between the measured value and the predicted value of 47.94 MPa was (47.94-47.4) / 47.4×100%=1.14%<10%, which is relatively small, indicating that the performance prediction made by the formula design method proposed in this application is accurate.
[0103] Example 3
[0104] (1) Given formula information:
[0105] The raw material composition of the given formula is: 25% carbide slag, 50% phosphogypsum, and 25% red mud.
[0106] The calcination temperature for the given formula is 1200℃.
[0107] (2) Predicting performance data based on a given formulation:
[0108] Based on the above formula, the calcination temperature F of the formula in this embodiment is 1200℃, and K=1 is calculated according to formula IV.
[0109] According to the above formula, the equivalent content of calcium solid waste X in the raw materials of this embodiment is 25%, the content of phosphogypsum Y is 50%, and the content of red mud Z is 25%. After normalization, x=25%, y=50%, and z=25%.
[0110] Based on formulas I, II, and III, we can calculate that A = -1, B = 1, and C = 0.
[0111] According to Formula 1, CS = 15.0875 MPa is calculated.
[0112] (3) Examination of the accuracy of the prediction method
[0113] The cementitious material was prepared according to the raw material composition (25% carbide slag, 50% phosphogypsum, and 25% red mud) and calcination temperature in the given formula, referring to the preparation steps given in Example 1 (3) (other steps and conditions are the same as in Example 1), and the 3d compressive strength of the cementitious material was tested according to the testing method in Example 1. The actual 3d compressive strength of the cementitious material in this example was measured to be 14.71 MPa, and the relative error between the measured value and the predicted value of 15.0875 MPa was (15.0875-14.71) / 14.71×100%=2.57%<10%, which is small, indicating that the performance prediction made by the formula design method proposed in this application is accurate.
[0114] Example 4
[0115] (1) Given formula information:
[0116] The given formula consists of the following raw material composition: 35% calcium solid waste, 36% phosphogypsum, and 29% red mud. The calcium solid waste is composed of 70% carbide slag and 30% marble waste, and the mass fraction of calcium carbonate in the marble waste is 96%.
[0117] The calcination temperature for the given formula is 1200℃.
[0118] (2) Predicting performance data based on a given formulation:
[0119] Based on the above formula, the calcination temperature F of the formula in this embodiment is 1200℃, and K=1 is calculated according to formula IV.
[0120] Based on the above formula, the content of calcium solid waste is M=35%, n=1, a1=30%, b1=96%; according to formula two The equivalent content of calcium solid waste in the raw materials of the formula in this embodiment is calculated to be X = 35% × 70% + 35% × 0.741 × 30% × 96% = 31.97%.
[0121] Based on the above formula, the content of phosphogypsum Y is 36% and the content of red mud Z is 29%.
[0122] Normalizing X, Y, and Z yields x = 31.97 / (31.97 + 36 + 29) = 32.97%, y = 36 / (31.97 + 36 + 29) = 37.12%, and z = 29 / (31.97 + 36 + 29) = 29.91%.
[0123] Based on formulas I, II, and III, we can calculate A = −0.47, B = −0.29, and C = 0.49.
[0124] According to Formula 1, CS = 44.88 MPa is calculated.
[0125] (3) Examination of the accuracy of the prediction method
[0126] The cementitious material was prepared according to the raw material composition (35% calcium solid waste, 36% phosphogypsum, and 29% red mud, with the calcium solid waste consisting of 70% carbide slag and 30% marble waste) and calcination temperature, following the preparation steps given in Example 1 (3) (all other steps and conditions were the same as in Example 1). The 3d compressive strength of the cementitious material was tested according to the testing method in Example 1. The actual 3d compressive strength of the cementitious material in this example was measured to be 46.32 MPa. The relative error between this value and the predicted value of 44.88 MPa was (46.32-44.88) / 46.32×100%=3.11%<10%, which is relatively small. This indicates that the performance prediction made by the formulation design method proposed in this application is accurate.
[0127] Example 5
[0128] (1) Given formula information:
[0129] The given formula consists of the following raw material composition: 35% calcium solid waste, 36% phosphogypsum, and 29% red mud. The calcium solid waste is composed of 60% carbide slag and 40% limestone waste, and the mass fraction of calcium carbonate in the limestone waste is 85%.
[0130] The calcination temperature for the given formula is 1200℃.
[0131] (2) Predicting performance data based on a given formulation:
[0132] Based on the above formula, the calcination temperature F of the formula in this embodiment is 1200℃, and K=1 is calculated according to formula IV.
[0133] According to the above formula, the content of calcium solid waste is M=35%, n=1, a1=60%, b1=85%; according to Formula 2, the equivalent content of calcium solid waste in the raw materials of this embodiment is calculated as X=35%×60%+35%×0.741×40%×85%=29.82%.
[0134] Based on the above formula, the content of phosphogypsum Y is 36% and the content of red mud Z is 29%.
[0135] Normalizing X, Y, and Z yields x = 29.82 / (29.82 + 36 + 29) = 31.45%, y = 36 / (29.82 + 36 + 29) = 37.97%, and z = 29 / (29.82 + 36 + 29) = 30.58%.
[0136] Based on formulas I, II, and III, we can calculate A = -0.4427, B = 0.8400, and C = 0.9750.
[0137] According to Formula 1, CS = 52.69 MPa is calculated.
[0138] (3) Examination of the accuracy of the prediction method
[0139] The cementitious material was prepared according to the raw material composition (35% calcium solid waste, 36% phosphogypsum, and 29% red mud) and calcination temperature in the given formula, following the preparation steps given in Example 1 (3) (all other steps and conditions were the same as in Example 1), and the 3d compressive strength of the cementitious material was tested according to the testing method in Example 1. The actual 3d compressive strength of the cementitious material in this example was measured to be 50.97 MPa, with a relative error of 3.37 < 10% compared to the predicted value of 52.69 MPa. The small error indicates that the performance prediction made by the formula design method proposed in this application is accurate.
[0140] Example 6
[0141] (1) Given formula information:
[0142] The raw material composition of the given formula is: 35% carbide slag, 36% phosphogypsum, and 29% red mud.
[0143] The calcination temperature for the given formula is 1170℃.
[0144] (2) Predicting performance data based on a given formulation:
[0145] Based on the above formula, the calcination temperature F of the formula in this embodiment is 1170℃. According to formula IV, K≈0.8861 is calculated.
[0146] According to the above formula, the equivalent content of calcium solid waste X in the raw materials of this embodiment is 35%, the content of phosphogypsum Y is 36%, and the content of red mud Z is 29%. After normalization, x=35%, y=36%, and z=29%.
[0147] Based on formulas I, II, and III, we can calculate that A=0, B=0.114, and C=0.814.
[0148] Based on Formula 1, F=1170℃ and Formula IV, CS=46.79 MPa is calculated.
[0149] (3) Examination of the accuracy of the prediction method
[0150] The cementitious material was prepared according to the raw material composition (35% carbide slag, 36% phosphogypsum, and 29% red mud) and calcination temperature (1170℃) in the given formula, following the preparation steps given in Example 1 (3) (all other steps and conditions were the same as in Example 1), and the 3d compressive strength of the cementitious material was tested according to the testing method in Example 1. The actual 3d compressive strength of the cementitious material in this example was measured to be 45.8 MPa, and the relative error between the measured value and the predicted value of 46.79 MPa was (46.79-45.8) / 45.8×100%=2.2%<10%, which is small, indicating that the performance prediction made by the formula design method proposed in this application is accurate.
[0151] Example 7
[0152] The formula in this embodiment is basically the same as that in Example 1, except that the calcination time is 50 minutes.
[0153] As in Example 1, according to the method of this application, the predicted 3d compressive strength CS based on the formulation of this example is 52.81 MPa.
[0154] Based on this, the calcination time was adjusted during actual testing to evaluate the stability of this method:
[0155] The cementitious material was prepared according to the raw material composition (35% carbide slag, 36% phosphogypsum, and 29% red mud) and calcination temperature (1200℃) in the given formula, following the preparation steps given in Example 1 (3) (except that the calcination time was changed to 50 min, all other steps and conditions were the same as in Example 1), and the 3d compressive strength of the cementitious material was tested according to the testing method in Example 1. The actual 3d compressive strength of the cementitious material in this example was measured to be 56.7 MPa, and the relative error between the measured value and the predicted value of 52.81 MPa was 6.86% < 10%, which is small, indicating that the performance prediction made by the formula design method proposed in this application is accurate.
[0156] It should be noted that this application is not limited to the above-described embodiments. The above embodiments are merely examples, and any embodiments with the same structure and effect as the technical concept within the scope of this application are included in the technical scope of this application. Furthermore, various modifications that can be conceived by those skilled in the art to the embodiments, and other ways of constructing by combining some of the constituent elements of the embodiments, without departing from the spirit of this application, are also included in the scope of this application.
Claims
1. A method for formulating a cementitious material, wherein the raw materials of the cementitious material are composed of calcareous solid waste, phosphogypsum, and red mud, characterized in that, The formulation design method includes the following steps: Obtain input values, wherein the input values are one of the formulation data and performance data of the cementitious material; the performance data is the 3d compressive strength CS, and the formulation data is the calcination temperature F and the correction values x, y, and z of the content of the calcium solid waste, phosphogypsum, and red mud in the raw materials; Based on Formula 1 and the input value, the output value is predicted, where the output value is the other of the formula data and the performance data. Wherein, Formula 1 is: CS = K × (45.57 - 5.31 × A + 4.52 × B + 16.45 × C + 3.36 × AB + 0.0875 × AC - 4.45 × BC - 28.26 × A² - 4.80 × B² - 9.35 × C² + 0.9375 × A²B - 17.19 × A²C + 4.83 × AB²); and K, F, A, B, C, x, y, z satisfy: K = 3 - lg(1300 - F); ; ; 。 2. The formulation design method according to claim 1, characterized in that, The values of A, B, and C are all in the range of -1 to 1, and the value of K is in the range of 0.82 to 1.
3. The formulation design method according to claim 1, characterized in that, The input value is the formula data, and the output value is the performance data.
4. The formulation design method according to claim 3, characterized in that, The steps for obtaining the content correction value x of the calcium solid waste, the content correction value y of the phosphogypsum, and the content correction value z of the red mud in the raw materials include: Obtain the equivalent content X of the calcium solid waste (calculated as calcium hydroxide), the content Y of the phosphogypsum, and the content Z of the red mud in the raw materials; Normalize X, Y, and Z to obtain x, y, and z.
5. The formulation design method according to claim 4, characterized in that, The calcium-based solid waste includes at least one of carbide slag, marble waste, and limestone waste.
6. The formulation design method according to claim 5, characterized in that, When obtaining the equivalent content X of the calcium solid waste in the raw material as calcium hydroxide, the calcium hydroxide content in the carbide slag is recorded as 100%.
7. The formulation design method according to claim 6, characterized in that, The steps for obtaining the equivalent content X of the calcium solid waste in the raw material, calculated as calcium hydroxide, include: Obtain the component information of the calcareous solid waste and the content M of the calcareous solid waste in the raw material. The component information includes the mass percentage content a1, a2, ... a1 of several components in the calcareous solid waste, excluding the carbide slag. n And the mass percentage of calcium carbonate in each of the aforementioned components, b1, b2, ... b n ; X is calculated using Formula 2; Formula 2 is: .
8. The formulation design method according to claim 1, characterized in that, F is 1150~1200℃.
9. A formula design device, characterized in that, The formulation design apparatus includes a memory, a processor, and a formulation design program stored in the memory and executable on the processor, the formulation design program being configured to implement the steps of the formulation design method as described in any one of claims 1 to 8.
10. A computer-readable storage medium having computer program instructions stored thereon, characterized in that, When executed by the processor, the program instructions implement the steps of the recipe design method as described in any one of claims 1 to 8.
Citation Information
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