CN114414415B - Method for measuring attrition rate of fluidized catalyst - Google Patents
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Abstract
The application provides a method for measuring the attrition rate of a fluidized catalyst, which comprises the steps of measuring the particle size distribution of solid catalyst particles which do not participate in aromatization, weighing the particle mass under different particle sizes, determining the particle mass with the particle size of 120 mu m and below 75 mu m, measuring the residual particle mass and the overflow mass again after the catalyst participates in the reaction, wherein the particles with the particle size of above 120 mu m have optimal attrition resistance, the particles with the particle size of below 75 mu m are most easily abraded, the particles with the particle size of below 30 mu m are basically not abraded, the probability of abrasion is estimated on the basis of the mass relation before the combination reaction, and the particle size distribution of the particles after abrasion is predicted, thereby overcoming the defect that the abrasion rate is not changed due to uneven particle size distribution in the traditional method, reducing the difficulty of abrasion rate measurement, ensuring strong repeatability of the measurement result and visual and reliable prediction result.
Description
Technical Field
The application relates to the field of measurement of a fluidized catalyst attrition rate, in particular to a method for measuring a fluidized catalyst attrition rate.
Background
In recent years, with the development of fluidization technology, fluidized beds are increasingly used in various production fields. However, in the fluidized bed, solid particles are worn out by the blowing of the fluidizing gas, collision with other particles or reactor walls, etc., with serious consequences; the correlation research result of the particle size and the abrasion rate shows that the abrasion degree of the particles in a steady-state stage is gradually reduced along with the increase of the particle size; in the measurement of particle abrasion in a fluidized bed, the particle diameter ranges of 120-160 and 160-200 microns with optimal abrasion resistance are obtained by comparing the abrasion degrees of particles in the particle diameter ranges, which do not meet the unified industry standard at home and abroad.
Therefore, the improvement is made by the method, the method for measuring the attrition rate of the fluidized catalyst is provided, the attrition rate of the catalyst can be calculated more accurately, the reaction rate is improved, and greater economic benefits are obtained in industrial production.
Disclosure of Invention
The application aims at: aiming at the problems of the prior art, the application provides the following technical proposal for realizing the purpose of the application: a method for determining attrition rate of a fluidized catalyst comprising the steps of: s1, measuring the particle size of catalyst particles to obtain the particle size distribution of the catalyst particles; s11, screening the catalyst particles into a plurality of particle size ranges, and measuring powder quality in different particle size ranges; s12, comparing the powder mass of the catalyst particles in different particle size ranges with the total mass of the particles to obtain mass distribution; s13, establishing a linear relation; s2, re-measuring the mass of the residual particles and the overflow mass after the catalyst participates in the aromatization reaction, and estimating the mass of the particles which are worn in the reaction by combining the mass fraction before the wear occurs; s21, estimating the particle size distribution after abrasion according to the time of abrasion and the particle size distribution before abrasion; s3, evaluating the abrasion performance of the solid phase catalyst, analyzing the particle size distribution of the catalyst sample after the catalyst sample participates in the reaction, and calculating the ratio of the particle mass under different particle sizes; s31, analyzing the particle size distribution of the catalyst sample before and after abrasion, expressing the abrasion degree by the ratio of the particle sizes of the catalyst particles before and after abrasion of the catalyst sample, and judging the abrasion resistance of the catalyst.
As a preferable embodiment of the present application, the particle size distribution in S1 is such that the particles are divided into a plurality of particle size sections according to the diameter size with DeltaD as the interval, and the average particle size of the particles in the ith section is denoted as D i The particle size distribution formula is calculated by the following integral form:
wherein D is i Average particle diameter of particles in the i-th interval.
As a preferable technical scheme of the application, the S12 catalyst particles are spherical and have uniform density, and the mass formula of the single catalyst particles is as follows:
where ρ is the density and D is the average particle size of the particles.
As a preferable technical scheme of the application, the formula of the ratio of the powder mass to the total mass of the particles in the step S12 is as follows:wherein M is i For the mass of the particles in a certain particle size range, M, which were sieved out before the experiment 0 The total mass of the sample particles added at the start of the experiment.
As a preferred embodiment of the present application, a linear relationship formula between the particle size distribution and the mass fraction in the linear relationship established in S13 is pi=r (D) 3, where R (D) is a particle size distribution value.
As a preferable technical scheme of the application, in the S2, since the particle size and the probability of abrasion are normally distributed, the probability density of abrasion is as follows:
the mass of particles consumed by wear is:
M＝M 0 -M 1 +M 2
wherein the residual particle mass M 1 Spill particle mass M 2
The mass of abrasion of the particles with different particle diameters obtained according to the particle size distribution is as follows:
M x ＝M·∫f(lnx)dx
where f (Inx) is the probability density at which attrition occurs and M is the mass of the particles.
As a preferred embodiment of the present application, the particle size distribution of the abraded particles
Wherein R is the particle size distribution value of the particles.
As a preferable technical scheme of the application, the S3 shows a normal distribution relation between the particle size distribution and the wear resistance, so that the wear resistance is poorer as the particle size distribution is closer to 75 mu m as long as judging whether the particle size distribution before abrasion is concentrated near 75 mu m, and the wear resistance of the particles is represented by the mass of the particles with different particle sizes before and after abrasion:
the closer the ratio is to 1, the lower the degree of wear.
As a preferable technical scheme of the application, the abrasion degree of S31 is R (D) which is the particle size distribution of catalyst particles before abrasion, R x (D) Is particle size distribution of worn particles
The degree of wear is expressed as:
and judging the abrasion resistance of the particles according to the fitting degree of the two particle size distribution curves, wherein the fitting degree is higher as the abrasion resistance is higher.
As a preferable technical scheme of the application, in the step S1, the particle size distribution of the powder after participating in the reaction can be accurately estimated by combining the particle size distribution of the catalyst with the mass percentage under the particle size, the abrasion rate of the catalyst is measured, and an abrasion model is established.
Compared with the prior art, the application has the beneficial effects that:
in the scheme of the application:
1. the particle size distribution of the powder after participating in the reaction can be accurately estimated by combining the particle size distribution of the catalyst with the mass percentage under the particle size, the attrition rate of the catalyst is measured, a more accurate attrition model is established, the problem that the attrition rate is difficult to accurately measure in the prior art is solved, and the accurate measurement of the attrition rate of the fluidized catalyst is realized;
2. by the particle size distribution and the abrasion resistance showing a normal distribution relationship, it is only necessary to judge whether the particle size distribution before abrasion is concentrated around 75 μm, the abrasion resistance is worse as the particle size distribution is closer to 75 μm, and the abrasion resistance of particles is represented by the mass of particles of different particle sizes before and after abrasion, and the abrasion resistance is lower as the ratio approaches 1.
Description of the drawings:
fig. 1 is a flow chart provided by the present application.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present application more clear, the technical solutions of the embodiments of the present application will be clearly and completely described below with reference to the accompanying drawings. It will be apparent that the described embodiments are some, but not all, embodiments of the application.
Thus, the following detailed description of the embodiments of the application is not intended to limit the scope of the application, as claimed, but is merely representative of some embodiments of the application. All other embodiments, which can be made by those skilled in the art based on the embodiments of the application without making any inventive effort, are intended to be within the scope of the application.
As shown in fig. 1, the present embodiment proposes a method for measuring the attrition rate of a fluidized catalyst, comprising the steps of: s1, measuring the particle size of catalyst particles to obtain the particle size distribution of the catalyst particles; s11, screening the catalyst particles into a plurality of particle size ranges, and measuring the powder quality of different particle size ranges; s12, comparing the powder mass of the catalyst particles in different particle size ranges with the total mass of the particles to obtain mass distribution; s13, establishing a linear relation; s2, re-measuring the mass of the residual particles and the overflow mass after the catalyst participates in the aromatization reaction, and estimating the mass of the particles which are worn in the reaction by combining the mass fraction before the wear occurs; s21, estimating the particle size distribution after abrasion according to the time of abrasion and the particle size distribution before abrasion; s3, evaluating the abrasion performance of the solid phase catalyst, analyzing the particle size distribution of the catalyst sample after the catalyst sample participates in the reaction, and calculating the ratio of the particle mass under different particle sizes; s31, analyzing the particle size distribution of the catalyst sample before and after abrasion, expressing the abrasion degree by the ratio of the particle sizes of the catalyst particles before and after abrasion of the catalyst sample, and judging the abrasion resistance of the catalyst.
In a preferred embodiment, in addition to the above embodiment, the particle diameter distribution in S1 is further defined by dividing the particle diameter into a plurality of particle diameter sections at intervals of Δd, and the average particle diameter of the particles in the i-th section is denoted as D i The particle size distribution formula is calculated by the following integral form:
wherein D is i Average particle diameter of particles in the i-th interval.
In a preferred embodiment, based on the above mode, further, the S12 catalyst particles are spherical and have uniform density, and the mass formula of each catalyst particle is:
where ρ is the density and D is the average particle size of the particles.
In a preferred embodiment, based on the above mode, further, the formula of the ratio of the powder mass to the total mass of the particles in S12 is:wherein M is i For the mass of the particles in a certain particle size range, M, which were sieved out before the experiment 0 The total mass of the sample particles added at the start of the experiment.
In a preferred embodiment, based on the above manner, further, in S13, a linear relationship between the particle size distribution and the mass fraction in the linear relationship is expressed as P i ＝R(D) 3 Wherein R (D) is a particle size distribution value.
In a preferred embodiment, in addition to the above embodiment, in S2, since the particle diameter and the probability of abrasion are normally distributed, the probability density of abrasion is:
the mass of particles consumed by wear is:
M＝M 0 -M 1 +M 2
wherein the residual particle mass M 1 Spill particle mass M 2
The mass of abrasion of the particles with different particle diameters obtained according to the particle size distribution is as follows:
M x ＝M·∫f(lnx)dx
where f (Inx) is the probability density at which attrition occurs and M is the mass of the particles.
S21 particle size distribution after abrasion
Wherein R is the particle size distribution value of the particles.
S3, since the particle size distribution and the wear resistance show a normal distribution relation, if judging whether the particle size distribution before abrasion is concentrated near 75 mu m, the wear resistance is poorer as the particle size distribution is closer to 75 mu m, and the wear resistance of the particles is represented by the mass of the particles with different particle sizes before and after abrasion:
the closer the ratio is to 1, the lower the degree of wear.
S31 has a attrition degree of R (D) being the particle size distribution of the catalyst particles before attrition, R x (D) Is particle size distribution of worn particles
The degree of wear is expressed as:
the wear resistance of the particles is judged through the fitting degree of the two particle size distribution curves, the higher the wear resistance is, the higher the fitting degree is, and the particle size distribution of the catalyst is combined with the mass percentage under the particle size in S1, so that the particle size distribution of the powder after participating in the reaction can be accurately estimated, and the wear rate of the catalyst is measured, so that a wear model is established.
Working principle: in the using process of the application, S1, the particle size of the catalyst particles is measured to obtain the particle size distribution of the catalyst particles, the particle size distribution in S1 divides the particles into a plurality of particle size sections according to the diameter size by taking delta D as an interval, and the average particle size of the particles in the ith section is recorded as D i The particle size distribution formula is calculated by the following integral form:
wherein D is i Average particle diameter of particles in the i-th interval.
The S12 catalyst particles are spherical and have uniform density, and the mass formula of the single catalyst particles is as follows:
where ρ is the density and D is the average particle size of the particles.
In S12, the formula of the ratio of the powder mass to the total mass of the particles is as follows:wherein M is i For the mass of the particles in a certain particle size range, M, which were sieved out before the experiment 0 The total mass of the sample particles added at the start of the experiment.
S13, establishing a linear relation formula between particle size distribution and mass fraction in a linear relation as P i ＝R(D) 3 Wherein R (D) is a particle size distribution value.
S2, re-measuring the mass of the residual particles and the overflow mass after the catalyst participates in the aromatization reaction, and estimating the mass of the particles which are worn in the reaction by combining the mass fraction before the wear occurs; in S2, the particle size and the abrasion probability are normally distributed, and the abrasion probability density is as follows:
the mass of particles consumed by wear is:
M＝M 0 -M 1 +M 2
wherein the residual particle mass M 1 Spill particle mass M 2
The mass of abrasion of the particles with different particle diameters obtained according to the particle size distribution is as follows:
M x ＝M·∫f(lnx)dx
where f (Inx) is the probability density at which attrition occurs and M is the mass of the particles.
S21, estimating the particle size distribution after abrasion according to the time of abrasion and the particle size distribution before abrasion, and the particle size distribution after abrasion
Wherein R is the particle size distribution value of the particles.
S3, evaluating the abrasion performance of the solid phase catalyst, analyzing the particle size distribution of the catalyst sample after the catalyst sample participates in the reaction, and calculating the ratio of the particle mass under different particle sizes; since the particle size distribution and the wear resistance show a normal distribution relationship, it is only necessary to judge whether the particle size distribution before abrasion is concentrated near 75 μm, the wear resistance is worse as the particle size distribution is closer to 75 μm, and the wear resistance of particles is characterized by the mass of particles of different particle sizes before and after abrasion:
the closer the ratio is to 1, the lower the degree of wear.
S31, analyzing the particle size distribution of the catalyst sample before and after abrasion, expressing the abrasion degree by the ratio of the particle sizes of the catalyst particles before and after abrasion of the catalyst sample, and judging the abrasion resistance of the catalyst, wherein the abrasion degree is R (D) which is the particle size distribution of the catalyst particles before abrasion, R x (D) Is particle size distribution of worn particles
The degree of wear is expressed as:
the wear resistance of the particles is judged through the fitting degree of the two particle size distribution curves, the higher the wear resistance is, the higher the fitting degree is, and the particle size distribution of the catalyst is combined with the mass percentage under the particle size in S1, so that the particle size distribution of the powder after participating in the reaction can be accurately estimated, and the wear rate of the catalyst is measured, so that a wear model is established.
The above embodiments are only for illustrating the present application and not for limiting the technical solutions described in the present application, and although the present application has been described in detail in the present specification with reference to the above embodiments, the present application is not limited to the above specific embodiments, and thus any modifications or equivalent substitutions are made to the present application; all technical solutions and modifications thereof that do not depart from the spirit and scope of the application are intended to be included in the scope of the appended claims.
Claims (7)
1. A method for determining attrition rate of a fluidized catalyst, comprising the steps of: s1, measuring the particle size of catalyst particles to obtain the particle size distribution of the catalyst particles; s11, screening the catalyst particles into a plurality of particle size ranges, and measuring powder quality in different particle size ranges; s12, comparing the powder mass of the catalyst particles in different particle size ranges with the total mass of the particles to obtain mass distribution; s13, establishing a linear relation; s2, re-measuring the mass of the residual particles and the overflow mass after the catalyst participates in the aromatization reaction, and estimating the mass of the particles which are worn in the reaction by combining the mass fraction before the wear occurs; s21, estimating the particle size distribution after abrasion according to the time of abrasion and the particle size distribution before abrasion; s3, evaluating the abrasion performance of the solid phase catalyst, analyzing the particle size distribution of the catalyst sample after the catalyst sample participates in the reaction, and calculating the ratio of the particle mass under different particle sizes; s31, analyzing particle size distribution of the catalyst sample before and after abrasion, expressing abrasion degree by the ratio of the particle sizes of the catalyst particles before and after abrasion of the catalyst sample, and judging the abrasion resistance of the catalyst;
the formula of the linear relation between the particle size distribution and the mass fraction in the linear relation established in the S13 is P i =R(D) 3 ，
Wherein R (D) is a particle size distribution value;
in the step S2, the particle size and the abrasion probability are normally distributed, so that the abrasion probability density is as follows:
，
the mass of particles consumed by wear is:
M=M 0 -M 1 +M 2 ，
wherein the residual particle mass M 1 Spill particle mass M 2 ，M 0 The total mass of the sample particles added at the beginning of the experiment;
the mass of abrasion of the particles with different particle diameters obtained according to the particle size distribution is as follows:
M x =M·dx，
wherein f (Inx) is the probability density of wear occurring and M is the mass of the particles;
particle size distribution of the S21 worn particles。
2. A method for measuring attrition rate of a fluidized catalyst in accordance with claim 1, whereinThe particle size distribution in S1 is divided into a plurality of particle size sections by taking DeltaD as an interval, and the average particle size of the particles in the ith section is recorded as D i The particle size distribution formula is calculated by the following integral form:
，
wherein D is i The average particle diameter of the particles in the ith interval.
3. A method for determining attrition rate of a fluidized catalyst in accordance with claim 1 wherein the S11 catalyst particles are spherical and uniform in density, the mass formula of individual catalyst particles being:
，
wherein the method comprises the steps ofIn order to achieve a density of the particles,Dis the average particle diameter of the particles.
4. The method for determining the attrition rate of a fluidized catalyst of claim 1 wherein the formula for the ratio of the mass of powder to the total mass of particles in S12 is:wherein M is i For the mass of the particles in a certain particle size range, M, which were sieved out before the experiment 0 The total mass of the sample particles added at the start of the experiment.
5. A method for measuring the attrition rate of a fluidized catalyst according to claim 1, wherein S3 is characterized in that since the particle size distribution and attrition resistance show a normal distribution relationship, it is only necessary to judge whether the particle size distribution before attrition is concentrated around 75 μm, the attrition resistance is worse as the particle size distribution is closer to 75 μm, and the attrition rate of particles is characterized by the mass of particles of different particle sizes before and after attrition:
，
the closer the ratio is to 1, the lower the degree of wear.
6. A method for determining the attrition rate of a fluidized catalyst in accordance with claim 1 wherein the attrition level in S31 is expressed as:
，
and judging the abrasion resistance of the particles according to the fitting degree of the two particle size distribution curves, wherein the fitting degree is higher as the abrasion resistance is higher.
7. The method for determining attrition rate of a fluidized catalyst according to claim 1, wherein the attrition rate of the catalyst is determined by combining the particle size distribution of the catalyst with the mass percentage of the particle size in S1 to accurately estimate the particle size distribution of the powder after the participation in the reaction, and an attrition model is established.
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