A method for calculating the porosity and structural strength of alkali-rich coke in the upper part of a blast furnace

Abstract

The present invention provides a method for calculating the porosity and structural strength of alkali-rich coke in the upper part of a blast furnace, which relates to the technical field of blast furnace smelting and comprises the following steps: S1, obtaining the relationship between the alkali metal concentration and the coke index in a target blast furnace, wherein the alkali metals in the blast furnace include K and Na; S2, calculating the alkali metal concentration in the blast furnace; collecting the alkali metal charge load, daily molten iron output and daily coke consumption of the target blast furnace, and calculating the alkali metal vapor concentration formed in the blast furnace in the recent period; S3, calculating the porosity and structural strength of the alkali-rich coke; the method of the present invention helps blast furnace on-site operators to directly calculate the coke porosity in the upper part of the blast furnace by monitoring the alkali metal load data of the blast furnace, and is also conducive to timely discovering abnormal coke performance so as to take necessary measures to stabilize the furnace condition and reduce unnecessary fluctuations and accidents.

Description

Technical Field

[0001] The present invention relates to the technical field of blast furnace smelting, and in particular to a method for calculating the porosity and structural strength of alkali-rich coke in the upper part of a blast furnace. Background Art

[0002] Blast furnaces are currently the most efficient process equipment for reducing iron oxides and the primary producer of raw materials for steelmaking. Problems during production can delay and disrupt the entire production process. Theoretical research and blast furnace autopsy investigations have shown that alkali metals accumulate cyclically within different temperature ranges within the blast furnace, compromising not only the metallurgical properties of incoming raw materials but also the operation and life of the blast furnace lining. Coke, a key raw material used in blast furnace ironmaking, not only serves as a reducing and exothermic agent but also provides a backbone for the charge column. To achieve optimal technical and economic performance in blast furnace operations, smelting coke (metallurgical coke) must possess appropriate chemical and physical properties, including thermal properties during the smelting process. However, due to the high temperatures, high pressures, enclosed complex, and harsh environment within the blast furnace during actual production, real-time monitoring of metallurgical processes is difficult. Therefore, it is necessary to promptly evaluate the performance of raw materials under alkali-rich conditions within the blast furnace to assist on-site operators in assessing raw material quality within the blast furnace.

[0003] However, there are currently few studies on the quality changes of blast furnace coke after alkali enrichment, and the research is of limited practicality. Furthermore, due to the presence of TiC, TiN, and Ti(C,N), slag and iron separation in high-titanium blast furnaces is more difficult than in ordinary blast furnaces, and they are more susceptible to abnormal furnace conditions. Furthermore, there are currently few methods for calculating the porosity and structural strength changes of alkali-enriched coke in blast furnaces. Therefore, the present invention develops a method for calculating the porosity and structural strength of alkali-enriched coke in the upper part of a blast furnace. Summary of the Invention

[0004] In view of this, the purpose of the present invention is to propose a method for calculating the porosity and structural strength of alkali-rich coke in the upper part of the blast furnace. Based on the studied alkali metal load data of the blast furnace, the porosity and structural strength of the alkali-rich coke in the upper part of the blast furnace can be quickly calculated, so as to achieve the purpose of simply and efficiently determining the performance indicators of coke in the blast furnace.

[0005] The technical means adopted in the present invention are as follows:

[0006] A method for calculating the porosity and structural strength of alkali-rich coke in the upper part of a blast furnace comprises the following steps:

[0007] S1. Obtaining a relationship between a target alkali metal concentration in a blast furnace and a coke index, wherein the alkali metals in the blast furnace include K and Na;

[0008] S11, taking the original coke sample of the target blast furnace, and preparing alkali-rich coke by high-temperature gas phase adsorption method;

[0009] S12. Determine the coke porosity and structural strength of the alkali-rich coke to obtain a test alkali metal concentration, a test coke porosity, and a test structural strength;

[0010] S13. Based on the relationship between the experimental alkali metal concentration data and the experimental coke porosity and experimental structural strength, the relationship formulas between the coke porosity and the different alkali metal concentrations and the relationship formulas between the structural strength and the different alkali metal concentrations are obtained respectively;

[0011] S2. Calculate the alkali metal concentration in the blast furnace;

[0012] The alkali metal charge load, daily molten iron production, and daily coke consumption of the target blast furnace are collected to calculate the recent alkali metal vapor concentration formed in the blast furnace.

[0013] S3. Calculate the porosity and structural strength of alkali-rich coke;

[0014] The concentration of alkali metal vapor formed in the target blast furnace is incorporated into the relationship between the coke porosity and different alkali metal concentrations to obtain the porosity of the alkali-rich coke in the target blast furnace;

[0015] The concentration of alkali metal vapor formed in the target blast furnace is substituted into the relationship between structural strength and different alkali metal concentrations to obtain the structural strength of the alkali-rich coke in the target blast furnace.

[0016] Furthermore, the high temperature gas phase adsorption method includes:

[0017] In a vertical resistance furnace, at a high temperature of 1300℃ and inert atmosphere, anhydrous potassium carbonate or anhydrous sodium carbonate and carbon powder undergo a reduction reaction to generate potassium or sodium vapor, which is used to fumigate a certain amount of coke balls for 1 hour to obtain alkali-rich coke.

[0018] Furthermore, the coke porosity of the alkali-rich coke is determined by an image recognition method, comprising the following steps:

[0019] Take the alkali-rich coke, mount the sample, and cut it in half. After grinding and polishing, take a picture of the entire cross section with an optical microscope to obtain a complete internal cross-section picture of the alkali-rich coke.

[0020] Image preprocessing: first, the internal cross-section image of the alkali-rich coke is converted from a color image to a grayscale image, and the pixels in the external irrelevant area of ​​the image are deleted, and only the pixels of the coke material and its internal area are retained to obtain the preprocessed image;

[0021] Read the total number of pixels pix of the preprocessed image all ;

[0022] According to the grayscale gradient of the pre-processed image, the threshold value is adjusted to make the image clear, and the areas where all internal pores of the coke profile are located are marked in red;

[0023] Read the number of pixels in the red area pix red ;

[0024] Calculate the coke porosity ε, the calculation formula is: ε=pix red / pix all ×100%.

[0025] Furthermore, the structural strength calculation method of alkali-rich coke is:

[0026] Record the coke mass M before the alkali-rich coke preparation experiment f ;

[0027] After the experiment, the coke debris was removed and the remaining alkali-rich coke mass M was weighed. b ;

[0028] Calculate the structural strength of alkali-rich coke using the formula: P=M b / M f ×100%.

[0029] Furthermore, the calculation formula for the concentration of alkali metal vapor formed in the blast furnace is:

[0030]

[0031]

[0032] in: L K Indicates the alkali metal K furnace load, L Na Indicates the alkali metal Na furnace load, n K Indicates the circulation enrichment multiple of alkali metal K in the target blast furnace, n Na Indicates the circulation enrichment multiple of alkali metal Na in the target blast furnace, M Fe represents the daily output of molten iron, M C Indicates the daily consumption of coke.

[0033] The present invention also provides a storage medium, which includes a stored program, wherein when the program is run, any of the above-mentioned methods for calculating the porosity and structural strength of alkali-rich coke in the upper part of a blast furnace is executed.

[0034] The present invention also provides an electronic device comprising a memory, a processor, and a computer program stored in the memory and runnable on the processor, wherein the processor executes any of the above-mentioned methods for calculating the porosity and structural strength of alkali-rich coke in the upper part of a blast furnace through the computer program.

[0035] Compared with the prior art, the present invention has the following advantages:

[0036] The present invention establishes a new method that can use the alkali load data and other production data in the blast furnace to more accurately calculate the porosity and structural strength of alkali-rich coke in the blast furnace through simple calculations, so as to assist on-site operators in judging the furnace conditions. The method is simple, efficient, practical, and suitable for high-titanium blast furnaces.

[0037] Based on the above reasons, the present invention can be widely promoted in the fields of blast furnace smelting and the like. BRIEF DESCRIPTION OF THE DRAWINGS

[0038] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the following briefly introduces the drawings required for use in the embodiments or the description of the prior art. Obviously, the drawings described below are some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying any creative labor.

[0039] Figure 1 This is the decision logic diagram of the present invention. DETAILED DESCRIPTION

[0040] In order to enable those skilled in the art to better understand the solutions of the present invention, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the embodiments described are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without making creative efforts should fall within the scope of protection of the present invention.

[0041] It should be noted that the terms "first", "second", etc. in the description and claims of the present invention and the above-mentioned drawings are used to distinguish similar objects and are not necessarily used to describe a specific order or sequence. It should be understood that the numbers used in this way can be interchanged where appropriate, so that the embodiments of the present invention described herein can be implemented in an order other than those illustrated or described herein. In addition, the terms "including" and "having" and any variations thereof are intended to cover non-exclusive inclusions. For example, a process, method, system, product or device that includes a series of steps or units is not necessarily limited to those steps or units clearly listed, but may include other steps or units that are not clearly listed or inherent to these processes, methods, products or devices.

[0042] like Figure 1 As shown, the present invention provides a method for calculating the porosity and structural strength of alkali-rich coke in the upper part of a blast furnace, comprising the following steps:

[0043] Step 1: Define the relationship between target blast furnace alkali metal concentration and coke index

[0044] Take the original coke sample of the target blast furnace, use the high temperature gas phase adsorption method to prepare alkali-rich coke, and then measure the coke porosity and structural strength measurement experiment, record the data of each experiment, including the alkali metal concentration (potassium vapor concentration) in the preparation of alkali-rich coke experiment C K and sodium vapor concentration C Na ), the coke porosity ε and structural strength P measurement results.

[0045] Among them, the high-temperature gas-phase adsorption method refers to an experimental method that simulates the blast furnace environment and uses a certain amount of alkali metal vapor to fumigate coke at high temperature to prepare alkali-rich coke. The specific experimental process is: using a vertical resistance furnace, in an inert atmosphere at a high temperature of 1300°C, anhydrous potassium carbonate (or anhydrous sodium carbonate) and carbon powder undergo a reduction reaction to generate a certain concentration of potassium (or sodium) vapor, which is used to fumigate a certain amount of coke balls (particle size 23~25mm) for 1 hour, thereby preparing potassium (or sodium)-rich coke to provide samples for subsequent reactivity and post-reaction strength measurements.

[0046] In addition, the porosity determination of coke is based on image recognition. The specific method is as follows: 1) Take alkali-rich coke, mount it, and cut it in half. After grinding and polishing, take a picture of the entire cross section with an optical microscope to obtain a complete internal cross-section of the alkali-rich coke; 2) Preprocess the image by converting the color image into a grayscale image, deleting the pixels in the external irrelevant areas of the image, and retaining only the pixels of the coke material and its internal area; 3) Read the total number of pixels pix in the preprocessed image all 4) According to the grayscale gradient of the image, adjust the threshold to make the image clear, mark the area where all internal pores of the coke profile are located, and set it to red; 5) Read the number of pixels in the red area pix red ;6) Calculate the coke porosity ε, the specific calculation method is: ε=pix red / pix all ×100%.

[0047] Define the calculation method of the structural strength of alkali-rich coke, specifically: 1) Record the coke mass M before the alkali-rich coke preparation experiment f ; 2) After the experiment, remove the fallen coke slag and weigh the remaining alkali-rich coke mass M b ;3) Define and calculate the structural strength P of alkali-rich coke. The specific calculation method is: P=M b / M f ×100%.

[0048] According to the different alkali metal concentrations obtained in the above experiment (C K and C Na ) data and the corresponding coke performance (ε and P) data, and perform regression analysis to define the relationship between the target blast furnace alkali metal concentration and coke performance. The relationship shown below is obtained. At the same time, the correction coefficient of determination (Adjusted R Square) of the regression equation is required to be greater than 80%.

[0049] (1)

[0050] (2)

[0051] Where: ε represents the porosity of alkali-rich coke, %; P represents the structural strength of alkali-rich coke, % C K and C Na Represent the potassium vapor concentration and sodium vapor concentration, %.

[0052] S2: Calculate the concentration of alkali metals in the blast furnace

[0053] Collect the recent blast furnace alkali metal K and Na charge load L K and L Na (i.e., income), daily molten iron output M Fe Daily coke consumption M C Calculate the concentration of alkali metal K and Na vapor formed in the blast furnace C K and C Na , the calculation formula is as follows:

[0054] (3)

[0055] (4)

[0056] Where: L K 、 L Na Respectively represent the alkali metal K and Na furnace load, kg / t. n K 、 n Na They represent the cyclic enrichment multiples of alkali metals K and Na in the target blast furnace, which are constants over a period of time and are adjusted according to the target blast furnace smelting conditions. Generally, they are set between 1 and 50. M Fe is the daily output of molten iron, t; MC is the daily coke consumption, kg.

[0057] Step 3: Calculate the porosity and structural strength of alkali-rich coke

[0058] The alkali metal concentration data formed in the current blast furnace calculated by S2 C K and C Na , substituted into formulas (1) and (2) to calculate the porosity ε and structural strength P of alkali-rich coke in the blast furnace.

[0059] Example

[0060] Taking the actual production data of a steel company's blast furnace as an example, the present invention is further described in detail:

[0061] S1. Define the relationship between target blast furnace alkali metal concentration and coke index

[0062] Take the original coke sample of the target blast furnace, use the high temperature gas phase adsorption method to prepare alkali-rich coke, and then measure the coke porosity and structural strength measurement experiment, record the data of each experiment, including the alkali metal concentration (potassium vapor concentration) in the preparation of alkali-rich coke experiment C K and sodium vapor concentration C Na ), the coke porosity ε and structural strength P measurement results.

[0063] Among them, the high-temperature gas-phase adsorption method refers to an experimental method that simulates the blast furnace environment and uses a certain amount of alkali metal vapor to fumigate coke at high temperature to prepare alkali-rich coke. The specific experimental process is: using a vertical resistance furnace, in an inert atmosphere at a high temperature of 1300°C, anhydrous potassium carbonate (or anhydrous sodium carbonate) and carbon powder undergo a reduction reaction to generate a certain concentration of potassium (or sodium) vapor, which is used to fumigate a certain amount of coke balls (particle size 23~25mm) for 1 hour, thereby preparing potassium (or sodium)-rich coke to provide samples for subsequent reactivity and post-reaction strength measurements.

[0064] In addition, the porosity determination of coke is based on image recognition. The specific method is as follows: 1) Take alkali-rich coke, mount it, and cut it in half. After grinding and polishing, take a picture of the entire cross section with an optical microscope to obtain a complete internal cross-section of the alkali-rich coke; 2) Preprocess the image by converting the color image into a grayscale image, deleting the pixels in the external irrelevant areas of the image, and retaining only the pixels of the coke material and its internal area; 3) Read the total number of pixels pix in the preprocessed image all 4) According to the grayscale gradient of the image, adjust the threshold to make the image clear, mark the area where all internal pores of the coke profile are located, and set it to red; 5) Read the number of pixels in the red area pix red;6) Calculate the coke porosity ε, the specific calculation method is: ε=pix red / pix all ×100%, the calculation results are shown in Table 1.

[0065] Define the calculation method of the structural strength of alkali-rich coke, specifically: 1) Record the coke mass M before the alkali-rich coke preparation experiment f ; 2) After the experiment, remove the fallen coke slag and weigh the remaining alkali-rich coke mass M b ;2) Define and calculate the structural strength P of alkali-rich coke. The specific calculation method is: P=M b / M f , the calculation results are shown in Table 1.

[0066] According to the different alkali metal concentrations (C K with C Na ) data and the corresponding coke performance (ε and P) data were used for regression analysis to define the relationship between the target blast furnace alkali metal concentration and coke performance. The relationship shown below was obtained, and the adjusted determination coefficients (Adjusted R Square) of the regression equations were 84.7% and 97.9%, respectively, both greater than 80%, meeting the requirements.

[0067] (1)

[0068] (2)

[0069] Where: ε represents the porosity of alkali-rich coke, %; P represents the structural strength of alkali-rich coke, %; C K with C Na represent the potassium vapor concentration and sodium vapor concentration, respectively; i, j, k and m, n, o are constants, which are 56.863, 3.002, 2.145, 96.518, -1.967, -1.599, respectively.

[0070] Table 1 Results of coke porosity and structural strength measurements at different alkali metal vapor concentrations

[0071]

[0072] S2. Calculate the concentration of alkali metals in the blast furnace

[0073] Collect the recent blast furnace alkali metal K and Na charge load L K and L Na (i.e., income), daily molten iron output M Fe Daily coke consumption M CCalculate the concentration C of alkali metal K and Na vapor formed in the blast furnace K with C Na , the calculation formula is as follows:

[0074] (3)

[0075] (4)

[0076] Where: L K 、 L Na Respectively represent the alkali metal K and Na furnace load, kg / t. n K 、 n Na They represent the cyclic enrichment multiples of alkali metals K and Na in the target blast furnace, which are constants over a period of time and are adjusted according to the target blast furnace smelting conditions. Generally, they are set between 1 and 50. M Fe is the daily output of molten iron, t; M C is the daily coke consumption, kg.

[0077] Substitute separately L K 、 L Na The values ​​are 2.790kg / t and 2.980kg / t, n K 、 n Na Take 4.0 and 3.0 respectively, the daily output of molten iron M Fe =3203t and daily coke consumption M C =1.5×106kg data into formulas (3) and (4), and the vapor concentrations of alkali metals K and Na are calculated to be CK=2.383% and CNa=1.909%.

[0078] S3: Calculation of porosity and structural strength of alkali-rich coke

[0079] Substituting the alkali metal concentration data CK = 2.383% and CNa = 1.909% in the current blast furnace calculated by S2 into formulas (1) and (2), the porosity ε and structural strength P of the alkali-rich coke in the blast furnace are calculated, which are ε = 68.28% and P = 88.67%, respectively. This indicates that the pores of the coke in the blast furnace have further expanded and the structural strength has decreased. On-site operators need to pay attention to tracking and recording trend changes to facilitate timely adjustment of the raw materials entering the furnace and the formulation of corresponding appropriate control mechanisms.

[0080] The serial numbers of the above embodiments of the present invention are for description only and do not represent the advantages or disadvantages of the embodiments.

[0081] In the above embodiments of the present invention, the description of each embodiment has its own focus. For parts that are not described in detail in a certain embodiment, reference can be made to the relevant descriptions of other embodiments.

[0082] In the several embodiments provided in this application, it should be understood that the disclosed technical content can be implemented in other ways. Among them, the device embodiments described above are only exemplary. For example, the division of the units can be a logical function division. In actual implementation, there may be other division methods, such as multiple units or components can be combined or integrated into another system, or some features can be ignored or not executed. Another point is that the mutual coupling or direct coupling or communication connection shown or discussed can be through some interfaces, indirect coupling or communication connection of units or modules, which can be electrical or other forms.

[0083] The units described as separate components may or may not be physically separate, and the components shown as units may or may not be physical units, that is, they may be located in one place or distributed across multiple units. Some or all of the units may be selected according to actual needs to achieve the purpose of the present embodiment.

[0084] In addition, the functional units in the various embodiments of the present invention may be integrated into a single processing unit, each unit may exist physically separately, or two or more units may be integrated into a single unit. The aforementioned integrated units may be implemented in the form of hardware or software functional units.

[0085] If the integrated unit is implemented as a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, or the portion that contributes to the prior art, or all or part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions for causing a computer device (which can be a personal computer, server, or network device, etc.) to execute all or part of the steps of the method described in each embodiment of the present invention. The aforementioned storage medium includes various media that can store program code, such as a USB flash drive, read-only memory (ROM), random access memory (RAM), a mobile hard drive, a magnetic disk, or an optical disk.

[0086] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit it. Although the present invention has been described in detail with reference to the above embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the above embodiments, or replace some or all of the technical features therein with equivalents. However, these modifications or replacements do not cause the essence of the corresponding technical solutions to deviate from the scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method for calculating the porosity and structural strength of alkali-rich coke in the upper part of a blast furnace, characterized in that: The steps include: S1. Obtaining a relationship between a target alkali metal concentration in a blast furnace and a coke index, wherein the alkali metals in the blast furnace include K and Na; S11, taking the original coke sample of the target blast furnace, and preparing alkali-rich coke by high-temperature gas phase adsorption method; S12. Determine the coke porosity and structural strength of the alkali-rich coke to obtain a test alkali metal concentration, a test coke porosity, and a test structural strength; The coke porosity of alkali-rich coke is determined by an image recognition method, comprising the following steps: Take the alkali-rich coke, mount the sample, and cut it in half. After grinding and polishing, take a picture of the entire cross section with an optical microscope to obtain a complete internal cross-section picture of the alkali-rich coke. Image preprocessing: first, the internal cross-section image of the alkali-rich coke is converted from a color image to a grayscale image, and the pixels in the external irrelevant area of ​​the image are deleted, and only the pixels of the coke material and its internal area are retained to obtain the preprocessed image; Read the total number of pixels pix of the preprocessed image all ; According to the grayscale gradient of the pre-processed image, the threshold value is adjusted to make the image clear, and the area where all the internal pores of the coke profile are located is marked in red; Read the number of pixels in the red area pix red ; Calculate the coke porosity ε, the calculation formula is: ε=pix red / pix all ×100%; The calculation method of the structural strength of alkali-rich coke is: Record the coke mass M before the alkali-rich coke preparation experiment f ; After the experiment, the coke debris was removed and the remaining alkali-rich coke mass M was weighed. b ; Calculate the structural strength of alkali-rich coke using the formula: P=M b / M f ×100%; S13. Perform regression analysis based on the relationship between the experimental alkali metal concentration data and the experimental coke porosity and experimental structural strength, and derive the relationship between the coke porosity and the different alkali metal concentrations, and the relationship between the structural strength and the different alkali metal concentrations; The relationship between coke porosity and different alkali metal concentrations is as follows: The relationship between structural strength and different alkali metal concentrations is as follows: Where: ε represents the porosity of alkali-rich coke; P is the structural strength of alkali-rich coke; C K represents the potassium vapor concentration, C Na Indicates the sodium vapor concentration; S2. Calculate the alkali metal concentration in the blast furnace; The alkali metal charge load, daily molten iron production, and daily coke consumption of the target blast furnace are collected to calculate the recent alkali metal vapor concentration formed in the blast furnace. S3. Calculate the porosity and structural strength of alkali-rich coke; The concentration of alkali metal vapor formed in the target blast furnace is incorporated into the relationship between the coke porosity and different alkali metal concentrations to obtain the porosity of the alkali-rich coke in the target blast furnace; The concentration of alkali metal vapor formed in the target blast furnace is substituted into the relationship between structural strength and different alkali metal concentrations to obtain the structural strength of the alkali-rich coke in the target blast furnace.

2. The method for calculating the porosity and structural strength of alkali-rich coke in the upper part of a blast furnace according to claim 1, characterized in that: The high temperature gas phase adsorption method comprises: In a vertical resistance furnace, at a high temperature of 1300℃ and inert atmosphere, anhydrous potassium carbonate or anhydrous sodium carbonate and carbon powder undergo a reduction reaction to generate potassium or sodium vapor, which is used to fumigate a certain amount of coke balls for 1 hour to obtain alkali-rich coke.

3. The method for calculating the porosity and structural strength of alkali-rich coke in the upper part of a blast furnace according to claim 1, characterized in that: The calculation formula for the concentration of alkali metal vapor formed in the blast furnace is: in: L K Indicates the alkali metal K furnace load, L Na Indicates the alkali metal Na furnace load, n K Indicates the circulation enrichment multiple of alkali metal K in the target blast furnace, n Na Indicates the circulation enrichment multiple of alkali metal Na in the target blast furnace, M Fe represents the daily output of molten iron, M C Indicates the daily consumption of coke.

4. A storage medium, characterized in that The storage medium includes a stored program, wherein when the program is run, the method for calculating the porosity and structural strength of alkali-rich coke in the upper part of the blast furnace as described in any one of claims 1 to 3 is executed.

5. An electronic device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein: The processor executes the method for calculating the porosity and structural strength of alkali-rich coke in the upper part of a blast furnace as described in any one of claims 1 to 3 by running the computer program.

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