JP2001323306A - Method for estimating distribution of charged material in blast furnace - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide a method for accurately estimating the piling shape of coke (CFC) at an axial center, in case of charging a raw material charged from a bell or a rotary chute at the same time with the coke (CFC) charged into the axial center through an exclusive charging chute in a blast furnace. SOLUTION: This piling shape is decided based on the dropping distance of the charged raw material from the furnace wall. When the charge of the CFC and the raw material are performed at the same time, (1) the shape of the CFC piling layer 8 is decided with the dropping distance from the furnace wall, the charging speed of the CFC onto the axial center and the layer thickness forming speed of the raw material at the adjacent part around the axial center, and the shape of the piling layer 9 of the raw material is decided based on the dropping distance from the furnace wall. (2) The charging necessary time in each charging batch is divided with a prescribed time interval and the distributing shape of the CFC and the raw material in each time is decided based on the distance of the dropping position of the raw material in the furnace from the furnace wall and respective piling shapes are accumulate calculated. The (1) and the (2) are suitably combined.

Description

DETAILED DESCRIPTION OF THE INVENTION

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a method for estimating a deposit shape of a charge distribution in a blast furnace, and more particularly to a method for charging a central coke charged into a shaft center by a dedicated charging chute and a bell or swirling chute. The present invention relates to a method for estimating a deposit shape at an axis of a central coke when ore and coke are charged at the same time.

[0002]

2. Description of the Related Art One of the important factors influencing the stable operation of a blast furnace is the management of the charge distribution. Generally, the charging of raw materials in a blast furnace is performed by a method in which ore and coke are alternately cut out from a bell or a turning chute and dropped and deposited in the furnace. At this time, the deposition shape of the charge formed of ore and coke in the furnace depends on the surface shape of the charge layer in the furnace immediately before the fall of the charge (in addition to the position where the charge falls in the furnace). That is, depending on various operating conditions, such as the shape of the lower layer surface), the magnitude of the gas flow velocity from below the charge layer, or the physical properties of the furnace interior charge, such as particle size distribution, angle of repose, and shape factor. It changes greatly. Therefore, for the stable operation of the blast furnace, it is necessary to search for the optimal operating material distribution according to the operating conditions at the time, for example, blast conditions, raw material properties, etc.
As one of the means, there has been proposed a method of quantitatively estimating a charge distribution shape under various operating conditions using a charge distribution simulation model. This charge distribution simulation model is a model constructed using the results of a charge distribution test using a model, and such a model is described in "Iron and Steel, Vol. 70, 1984, P46.
"Movement distribution simulation of bell-moveable armor system" and "Development of a simulation model of charge distribution in a large bellless blast furnace and its application to operation" are disclosed.

[0003] These charge distribution simulation models basically include, as shown in FIG. 8, several basic shapes of the respective deposit shapes set for each brand of ore and coke as charge materials. Classified "shape patterns"
As a method of mathematically approximating the deposition shape for each shape pattern, the "shape parameter" introduced to represent the deposition shape by treating the curved portion with a cubic function and the rest as a straight line and combining them with a straight line have. The selection and determination of the “shape pattern” and “shape parameter” at that time are determined by the bell movable armor formula (hereinafter, “bell M”).
In the charging device, the stock line level, the average layer thickness, the movable armor position (MA position) at the position where the charged material falls in the furnace at that time, and the sinter or pellets and pellets in the charged material. Alternatively, the adjustment is performed based on the compounding ratio of the lump ore, while in the bellless type charging apparatus, the adjustment is performed based on the tilt angle of the swiveling chute and the stock line level at the position where the charged material falls in the furnace. The “shape pattern” and “shape parameter” are divided into patterns and converted into functions based on the results obtained by a model experiment or the like. The pattern division and the functionalization are performed for each batch in the bell MA system and for each tilt angle of the turning chute in the bellless system.

That is, as shown in FIG. 9, the falling trajectory of the charged material in the furnace is calculated for each batch in the Bell MA system, and for each tilt angle of the turning chute in the Bellless system (step in FIG. 9). F), a point on the falling trajectory at a level higher by a set height (Δh), which is a height direction from the intersection of the charge and the surface of the furnace interior charge layer, of the newly charged charge. The “shape pattern” and “shape parameters” of the charge described above are determined from the drop position and the charging conditions at this time (step B in the figure) as the drop position (step G in the figure) (FIG. Step I). With respect to the obtained distribution shape, after correcting the inclination angle due to the gas flow rate and the moisture content in the pellets in the raw material charge layer (step J in the figure), and correcting the influence of the lower surface shape (step K in the figure), The volume between the obtained distribution shape and the lower surface is calculated and compared with the set charging amount (step L in the same figure). The next loading is calculated with the entry surface as the lower surface (step C in the figure). If there is no next charging in the case of coincidence, the shape of the obtained charging surface is compared with the distribution shape of the lowermost layer (step M in the figure). After calculating the physical property distribution (particle size distribution, porosity distribution, ore and coke layer thickness distribution, etc.) of the input material (step N in the figure), the calculation is completed (step O in the figure). On the other hand, when the calculated volume does not match the set charging amount (step L in the figure), the set height (Δh) is changed again to determine a new charging surface (step H in the figure). , And the process L in FIG.
Repeat the calculation up to.

However, when the distribution shape is estimated using such a charge distribution simulation model, there are the following problems. The first problem is that, when the furnace shape to be processed is different, the charge distribution shape obtained by calculation differs from the actual distribution shape. FIG.
In the models A and B corresponding to the bellless blast furnaces A and B, respectively, the charging conditions were the same, and the change in the charge accumulation shape when the furnace body shape was changed was measured by a model experiment, And a comparison result with a calculation result by the above-described charge distribution simulation model.
Here, the determination of the “shape pattern” and the “shape parameter” in the calculation by the charge distribution simulation model uses data obtained by an experiment on the model A. As described above, in the model A, the calculated shape and the measured shape are in good agreement, but in the model B, the calculated shape and the measured shape are significantly different. These results show that the method of determining the “shape pattern” and “shape parameter” is inappropriate to be applied when the shape of the furnace body is changed by the method of the charge distribution simulation model described above. It is. That is, it indicates that there are other factors that are not taken up in the simulation model as factors that determine the shape of the deposited material. Therefore, according to the prior art, in the case of trying to match the calculated deposition shape with the actually measured deposition shape also in the model B, the model B
It is necessary to carry out a large number of load distribution experiments in which the load conditions are changed by using, and it can be seen that the versatility of the conventional load distribution simulation model is extremely low.

A second problem is that it is not possible to cope with the latest charging method in a blast furnace. In recent charge distribution control methods for rollers, in addition to the conventional raw material charging from a bell or swirl chute, a dedicated charging chute is provided, whereby a charging method for charging coke into the furnace shaft is widely used. It has been implemented. In general, coke is designed to have a larger particle size than ore, so that it has excellent air permeability.
Therefore, by injecting this coke into the shaft of the blast furnace, it is possible to block the flow of ore into the shaft and properly maintain the air permeability of the shaft, and to transfer sound coke with little deterioration to the lower part of the blast furnace. It is possible to bring them up. Such a charging method is referred to as a central coke charging method, and a charged coke is referred to as a central coke, which is distinguished from a charged raw material charged from a bell or a turning chute. By charging the central coke, the blast furnace can be operated stably.

In the method of charging central coke, a method of charging a blast furnace in which central coke charged into a shaft center portion by a dedicated charging chute and ore and coke charged from a bell or a turning chute are simultaneously charged. Has been put to practical use. For example, in Japanese Patent Application Laid-Open No. 9-157710, the inventors of the present invention indicated that the charging of the central coke 7 from the dedicated charging chute 3 was started as shown in FIG. At the timing when the charged raw material 6 flows into the adjacent portion around the axial center, the central coke 7 moves to the surface 5 of the charged material layer 5 adjacent to the peripheral portion around the axial portion.
And the charging time and amount of the central coke 7 are adjusted so that the charging of the central coke 7 can be continued until the charging of the charged raw material 6 from the bell 2 into the shaft center is completed. A charging method to be controlled (hereinafter referred to as prior art 1) has been proposed. According to the charging method of the prior art 1, as shown in FIG. 12, the shape of the central coke deposition layer 8 is columnar (see FIG. 12 (a)). It is known that the central coke deposition layer 8 (see FIG. 12 (b)) having a mountain-like deposition shape obtained by a conventional central coke charging method, in which charging is performed independently and alternately, is significantly different. . The conventional load distribution simulation model calculates a load distribution shape formed by charging only from one input route at the same time, not when charging from two routes at the same time. Due to the design, it is not possible to estimate the shape of the central coke deposited in the method of charging raw materials at the same time from different routes using a conventional charge distribution simulation model. It is.

[0008]

As described above, according to the conventional charge distribution simulation model, when the furnace body shape of the blast furnace is different, the charge distribution cannot be accurately estimated. However, in the conventional method of estimating the charge distribution using the charge distribution simulation model, the central coke from the dedicated chute is charged at the same time as the raw material from the bell or swivel chute. It is not possible to properly estimate the shape of the central coke deposited in the same charging method.

Therefore, an object of the present invention is to minimize the estimation error of the charge distribution shape due to the difference in the equipment conditions such as the furnace body shape, and to charge the shaft center portion by the dedicated charging chute. Versatility to estimate the shape of sediment at the center of the central coke when the central coke and the ore and coke charged from the bell or swivel chute are charged at the same time. An object of the present invention is to provide a method for estimating a charge distribution in a high blast furnace.

[0010]

Means for Solving the Problems The present inventors have made intensive studies to solve the above-mentioned problems. As a result, first, it was found that the distribution shape of the charged raw material greatly depends on the distance from the furnace wall at the raw material falling position when the raw material brand is the same. In addition, the change in the time-series distribution shape of the raw material charged from the bell or swirling chute is expressed by a method in which the charging batch is divided at a certain time interval, and the distribution shape is calculated and accumulated for each time. I knew I could do it. Furthermore, when the charging of the central coke and the raw material from the bell or the turning chute is performed at the same time, the distribution shape of the central coke formed on the shaft center portion is determined by the charging speed of the center coke to the shaft center portion. Depending on the rate of formation of the layer thickness in the vicinity of the axis of the charged material by the bell or swirling chute, the charging batch is divided at a certain time interval, and the central coke and the bell or swirling chute are divided every time. It was found that the columnar central coke can be expressed by the method of calculating and accumulating the distribution shapes of the charged raw materials by the method. The present invention has been made based on the above findings, and the gist is as follows.

According to a first aspect of the present invention, there is provided a method for estimating a charge distribution in a blast furnace, the method comprising: estimating a charge distribution in the blast furnace; Is determined based on the magnitude of the distance from the furnace wall.

According to a second aspect of the present invention, there is provided a method for estimating a charge distribution in a blast furnace, comprising the steps of: A method of estimating a charge distribution in a charging method performed at a time, comprising: determining a deposition shape of the central coke, a magnitude of a distance from a furnace wall at a drop position of the central coke in the furnace, and an axis of the central coke. Feeding speed to the part,
And the thickness of the raw material charged by the bell or the swirling chute at the layer adjacent to the axial center portion is determined, and the shape of the material deposited from the bell or the swirling chute in the furnace of the raw material is determined. It is characterized in that it is determined based on the magnitude of the distance of the falling position from the furnace wall.

According to a third aspect of the present invention, there is provided a method for estimating a charge distribution in a blast furnace, the method comprising estimating a charge distribution in the blast furnace, wherein charging of the central coke and the raw material from a bell or a swirling chute is performed. A method of estimating a charge distribution in a charging method performed at a time, wherein a charging time required for each charging batch is divided at predetermined time intervals, and a central coke and a bell or a rotating chute are divided for each divided time. The distribution shape of the raw material from the furnace is determined based on the magnitude of the distance from the furnace wall at the position where the charged raw material falls in the furnace, and thus the shape of the deposition of the raw material from the central coke and the bell or the swirling chute. Is characterized by performing the calculation of accumulating and accumulating.

According to a fourth aspect of the present invention, there is provided a method for estimating a charge distribution in a blast furnace, the method comprising: estimating a charge distribution shape in a blast furnace; A method for estimating a charge distribution in a charge method performed at the same time, wherein a charging time required for each charging batch is divided at predetermined time intervals, and the accumulated central coke is accumulated for each divided time. The shape, the magnitude of the distance of the center coke from the furnace wall at the drop position in the furnace, the charging speed of the center coke to the shaft center, and the shaft center of the charged material by the bell or the turning chute In addition to determining the thickness of the material from the bell or the swirling chute, the shape of the material deposited on the adjacent portion of the periphery is determined based on the distance from the furnace wall at the position where the material falls in the furnace. I Those having features to perform calculations stacking up by calculating the center coke and the bell or the raw material of the deposition geometry from the orbiting chute.

[0015]

Next, the present invention will be described with reference to the drawings. FIG. 1 shows the flow of the method for calculating the distribution of a charge according to the present invention, and FIG. 2 schematically shows a time-series change in the distribution shape of the charge calculated according to the present invention.

First, the "shape pattern" and "shape parameter" for determining the distribution of the charged materials are determined in advance based on the magnitude of the distance from the furnace wall to the falling position of the charged materials by a model experiment or the like. , And patterning,
Make it a function. As for the shape pattern and the shape parameter of the central coke, the pattern classification “F” shown in FIG. 8 is adopted, and the central coke charging and the bell (refer to the bell in the above-described bell MA type apparatus. The same in this specification). ) Or when charging the raw material from the revolving chute at the same time, the shape parameters Δr, θ ₁ , θ ₂
Is not only the magnitude of the distance from the furnace wall at the drop position of the central coke, but also the layer thickness forming speed in the vicinity of the axial center portion by the raw material charged from the bell or swirling chute at the time of charging,
It is set in consideration of the feeding speed of the central coke to the shaft center.

As shown in FIG. 1, first, as in the conventional charging method, when the charging of the central coke and the charging of the raw material from the bell or the swirling chute are separately performed at different times, the distribution of the charged materials is performed. When calculating the shape, the calculation flow is very similar in appearance to the calculation flow of the conventional charge distribution simulation model shown in FIG. However,
The difference from the conventional charge distribution simulation model is that, in the present invention, as described above, the determination of the “shape pattern” and “shape parameter” is based on the magnitude of the distance from the furnace wall at the dropping position of the charge. This is based on the following.

Furthermore, when calculating the charge distribution when the central coke charging and the raw material charging from the bell or the rotating chute are performed at the same time, the charging batch is set to a predetermined time. The distribution is divided at intervals, the distribution shape of the charged material from the central coke and the bell or swirling chute is calculated for each time zone, and the obtained distribution shapes are accumulated. At this time, the distribution shape of the central coke, the feeding speed of the central coke to the axis of each time zone, the layer thickness forming speed in the vicinity adjacent to the axis of the charged material by a bell or swirling chute, and Determined by Also, the distribution shape of the central coke and the raw material charged from the bell or swivel chute,
We pile up in the same time zone. As shown in FIG. 2, the stacking order of both layers (both distribution shapes) in the same time zone is such that the central coke deposited layer 8 is deposited on the upper surface of the lower layer 13 and then the peripheral portion of the central coke deposited layer 8 On the upper surface, an adjacent portion around the axis of the raw material charge layer 9 from a bell or a turning chute is deposited. Thus, after the elapse of the time period Δt from the initial state (FIG. 2A), the deposition shape shown in FIG. 2B is obtained. Then the above operation is repeated. That is, FIG.
After the elapse of the next time period Δt that continues to the state of FIG.
The deposition state shown in (c) is obtained. Thereafter, the operation according to the above is repeated.

As a result, when charging of one charge is completed,
The state shown in FIG. 2 (d) is obtained. When calculating the charge distribution in the case where the charging of the central coke and the charging of the raw material from the bell or the swirling chute are performed at the same time, an adjacent portion around the axis center due to the raw material charged from the bell or the rotating chute. It is possible to obtain the distribution of the central coke of various deposition shapes from a mountain shape to a column shape in accordance with the layer thickness forming speed in the above.

[0020]

EXAMPLES The method for estimating the charge distribution of a blast furnace according to the present invention will be further described with reference to examples. FIG. 3 shows a charging method in which the central coke 7 and the raw material from the bell or the rotating chute are charged at the same time, and the blast furnace charge distribution shape obtained by the calculation method according to the present invention and the bell MA type blast furnace. FIG. 5 shows a diagram comparing the charging conditions in the calculation with a 1/10 small model blast furnace and the distribution shape obtained by charging under the same charging conditions. Here, FIG. 3 (a) shows the results of a model experiment performed by calculating the charging conditions described in the “calculation conditions” in the figure, and FIGS. 3 (b) and 3 (c). In each of (d) and (d), based on the above “calculation conditions”, only the input amount of the central coke 7, the MA position, or the input amount of the raw material (here, the ore 14 was used) from the bell was changed. It is a figure which shows the change of the distribution shape of the calculation result and the model test obtained in the case. In the above "calculation conditions", "MA position" represents the distance from the furnace wall of MA to the furnace center, and the meanings of other items are as shown in FIG. That is, ore is 60k per batch
g was charged with Bell MA. Meanwhile, after the start of ore charging, 4
Injection of CFC is started at a timing of second, and the injection speed is 0.1 kg / sec for 5 seconds, and when a total of 500 g is injected per batch, the accumulation distribution shape of CFC and ore is piled up every 1 second. Means calculated.

From these figures, although the distribution shape of the central coke greatly changes due to various charging conditions, the distribution shape of the central coke can be accurately estimated by using the method for estimating the distribution of charged materials according to the present invention. You can see that you can do it.

FIG. 5 shows a charging method in which the central coke and the raw material from the bell or the rotating chute are charged at the same time, and the blast furnace charge distribution shape obtained by the calculation method according to the present invention and the inside of the furnace. The distribution of the ratio of the coke layer thickness L _{C to} the total layer thickness L _C + L _O in the radial direction, that is, the layer pressure ratio distribution (hereinafter referred to as L _C / (L _C + L _O ) distribution) and the actual bell MA
The measurement results of the gas utilization distribution in the radial direction by a horizontal sonde, obtained when the blast furnace was charged under the same charging conditions as the charging conditions in the calculation, are shown.

FIG. 6 is a schematic vertical sectional view of an example of a conventional bell MA type charging apparatus in which the central coke 7 is charged by the dedicated charging chute 3. Generally, horizontal sonde 1
Numeral 0 is installed at the upper part of the blast furnace shaft, and can measure gas temperature and gas composition in the radial direction at that level. Among them, the gas utilization rate (CO ₂ / (CO + CO ₂ )) is used as an index indicating the magnitude of the gas flow velocity in the furnace, and the smaller this value is, the faster the gas flow velocity at that position is. Indicating good air permeability, and
This indicates that the proportion of coke in the raw material charge layer is large. From these figures, the L _C / (L _C + L _O ) distribution in the vicinity of the axial center obtained by the calculation method according to the present invention and the gas utilization distribution by the horizontal sonde 10 have a good correlation. It is presumed that the distribution shape of the coke deposition layer 8 is accurately calculated.

FIG. 7 shows, for each of the model blast furnaces of bellless blast furnaces A and B having different furnace body shapes, the stacking shape of the charged material obtained by the calculation method according to the present invention and the same packing as used in the calculation. The figure which compared the sedimentary shape obtained by each model blast furnace experiment performed on the input condition is shown. FIG. 7 shows that the calculation method according to the present invention makes it possible to accurately estimate the charge accumulation shape even when the furnace body shape changes, indicating an improvement in versatility.

[0025]

According to the present invention, the distribution shape of the charge in the blast furnace is determined based on the distance from the furnace wall at the position where the charge falls, and the center coke and the bell or swirl are determined. When charging with raw materials from a chute is performed at the same time, the distribution shape of the charging material is divided into the charging batch at certain time intervals, and the distribution shape of central coke and By adopting a method of calculating and accumulating the distribution shape of each,
It is possible to improve the accuracy of the gas flow distribution control in the furnace, to provide a method for estimating the charge distribution in a blast furnace having high versatility, and to obtain an industrially useful effect.

[Brief description of the drawings]

FIG. 1 is a diagram showing a calculation flow of a charge distribution shape according to the present invention.

FIG. 2 is a diagram schematically showing a time-series change of a deposited shape of a charge calculated according to the present invention.

FIG. 3 shows a blast furnace charge distribution profile obtained by a calculation method according to the present invention and a bell MA blast furnace in a charging method in which charging of central coke and raw materials from a bell or a rotating chute is performed at the same time. It is the figure which compared the charging condition in the said calculation using the 1/10 small model blast furnace, and the distribution shape obtained by charging under the same charging condition.

FIG. 4 is a diagram illustrating “calculation conditions” in FIG.

FIG. 5 shows a charging method in which the central coke and the raw material from the bell or the rotating chute are charged at the same time, and the blast furnace charge distribution shape and L _C / (L _C +
FIG. 6 is a diagram for comparing and examining the results obtained by the calculation method according to the present invention with respect to the distribution of L _O ) and the gas utilization distribution in the radial direction in the furnace in a test using a practical Bell MA blast furnace.

FIG. 6 is a schematic longitudinal sectional view of an example of equipment in which a dedicated charging chute is provided in a conventional bell MA type charging device.

FIG. 7 shows the pile shape of the charge obtained by the calculation method according to the present invention and the pile shape obtained in each model blast furnace experiment for each model blast furnace of bellless blast furnaces A and B having different furnace body shapes. FIG.

FIG. 8 is a diagram showing a shape pattern and shape parameters of a charge distribution shape according to the related art.

FIG. 9 is a diagram showing a calculation flow of a charge distribution shape according to the related art.

FIG. 10 shows the stacking shape of the charge obtained by the calculation method according to the prior art and the stacking shape obtained in each model blast furnace experiment for each model blast furnace of the bellless blast furnaces A and B having different furnace body shapes. FIG.

FIG. 11 is a diagram illustrating a central coke charging method according to Prior Art 1.

FIG. 12 is a diagram comparing the deposited shape of central coke obtained by the central coke charging method according to Prior Art 1 with the deposited shape of central coke obtained by the normal charging method.

[Explanation of symbols]

 DESCRIPTION OF SYMBOLS 1 Shaft part steel shell 2 Bell 3 Dedicated input chute 4 Auxiliary distribution device (MA) 5 Raw material charge layer surface 6 Charged raw material 7 Central coke (CFC) 8 Central coke deposition layer 9 Raw material charge layer 10 Horizontal sonde 11 Revolving chute 12 Fall trajectory of charged material 13 Lower layer 14 Ore

Claims (4)

[Claims] 1. A method for estimating a charge distribution in a blast furnace, comprising determining a shape of the charge accumulation based on a distance from a furnace wall at a position where the charge falls in the furnace. Characteristic method of estimating the charge distribution in a blast furnace. 2. A method for estimating a charge distribution in a blast furnace, the method comprising estimating a charge distribution in a charge method in which charging of a central coke and raw materials from a bell or a swirling chute is performed at the same time. The deposition shape of the central coke is determined by the distance from the furnace wall at the position where the central coke falls in the furnace, the charging speed of the central coke to the axial center, and the loading by the bell or the swirling chute. It is determined by the layer thickness forming speed of the input raw material at the adjacent portion around the axial center portion, and the shape of the raw material deposited from the bell or the swirling chute is determined by the distance from the furnace wall at the position where the raw material falls in the furnace. A method for estimating a charge distribution in a blast furnace, characterized in that it is determined on the basis of the distribution. 3. A method for estimating a charge distribution in a blast furnace, the method comprising estimating a charge distribution in a charging method in which charging of a central coke and raw materials from a bell or a swirling chute is performed at the same time. The required charging time of each charging batch is divided at predetermined time intervals, and the distribution shape of the raw material from the central coke and the bell or swirl chute is divided into each of the divided time periods, and the charged raw material is dropped into the furnace. Determined based on the magnitude of the distance of the position from the furnace wall, thus performing a calculation to calculate and accumulate the deposition shape of the raw material from the central coke and the bell or the swirling chute, Estimation method of charge distribution in blast furnace. 4. A method for estimating a charge distribution shape in a blast furnace, the method comprising estimating a charge distribution in a charge method in which charging of a central coke and raw materials from a bell or a swirling chute is performed at the same time. The charging time of each charging batch is divided at predetermined time intervals, and for each of the divided times, the accumulated shape of the central coke is set at a distance from the furnace wall at a position where the central coke falls in the furnace. Determined by the size of the central coke, the charging speed of the central coke to the shaft center, and the layer thickness forming speed of the bell or the rotating chute in the vicinity of the shaft center portion of the charge material by the bell or the turning chute. The deposition shape of the raw material from the turning chute is determined based on the magnitude of the distance from the furnace wall at the position where the raw material falls in the furnace, and thus, from the center coke and the bell or the turning chute. And performing calculations stacking up to calculate the deposition geometry of the raw material, the method of estimating the charge distribution in the blast furnace.