CN114649060A - Modeling simulation method for large-scale industrial grade natural uranium extraction column - Google Patents
Modeling simulation method for large-scale industrial grade natural uranium extraction column Download PDFInfo
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- 238000000605 extraction Methods 0.000 title claims abstract description 121
- 238000000034 method Methods 0.000 title claims abstract description 35
- 238000004088 simulation Methods 0.000 title claims abstract description 24
- 229910052770 Uranium Inorganic materials 0.000 title claims abstract description 21
- JFALSRSLKYAFGM-UHFFFAOYSA-N uranium(0) Chemical compound [U] JFALSRSLKYAFGM-UHFFFAOYSA-N 0.000 title claims abstract description 21
- 239000012071 phase Substances 0.000 claims abstract description 75
- 229910002007 uranyl nitrate Inorganic materials 0.000 claims abstract description 49
- 238000012546 transfer Methods 0.000 claims abstract description 27
- 238000009792 diffusion process Methods 0.000 claims abstract description 22
- 238000004364 calculation method Methods 0.000 claims abstract description 14
- 239000012074 organic phase Substances 0.000 claims abstract description 7
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims abstract description 5
- 239000007788 liquid Substances 0.000 claims description 9
- 239000011550 stock solution Substances 0.000 claims description 7
- GRYLNZFGIOXLOG-UHFFFAOYSA-N Nitric acid Chemical compound O[N+]([O-])=O GRYLNZFGIOXLOG-UHFFFAOYSA-N 0.000 claims description 3
- 230000005484 gravity Effects 0.000 claims description 3
- 229910017604 nitric acid Inorganic materials 0.000 claims description 3
- 238000012360 testing method Methods 0.000 claims description 3
- STCOOQWBFONSKY-UHFFFAOYSA-N tributyl phosphate Chemical compound CCCCOP(=O)(OCCCC)OCCCC STCOOQWBFONSKY-UHFFFAOYSA-N 0.000 description 7
- 238000000746 purification Methods 0.000 description 5
- 239000000243 solution Substances 0.000 description 5
- 238000010586 diagram Methods 0.000 description 4
- 230000008569 process Effects 0.000 description 4
- 238000013178 mathematical model Methods 0.000 description 3
- 238000005516 engineering process Methods 0.000 description 2
- 238000000926 separation method Methods 0.000 description 2
- 239000002904 solvent Substances 0.000 description 2
- 238000012549 training Methods 0.000 description 2
- 239000008346 aqueous phase Substances 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000008859 change Effects 0.000 description 1
- 239000003795 chemical substances by application Substances 0.000 description 1
- 239000003814 drug Substances 0.000 description 1
- 229940079593 drug Drugs 0.000 description 1
- 230000002349 favourable effect Effects 0.000 description 1
- 239000012530 fluid Substances 0.000 description 1
- 230000004907 flux Effects 0.000 description 1
- 230000006870 function Effects 0.000 description 1
- 238000009854 hydrometallurgy Methods 0.000 description 1
- 230000016507 interphase Effects 0.000 description 1
- 238000012423 maintenance Methods 0.000 description 1
- 238000012821 model calculation Methods 0.000 description 1
- 239000002245 particle Substances 0.000 description 1
- 238000011160 research Methods 0.000 description 1
- 239000007787 solid Substances 0.000 description 1
- 238000000638 solvent extraction Methods 0.000 description 1
- 239000000126 substance Substances 0.000 description 1
- 230000009466 transformation Effects 0.000 description 1
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- G—PHYSICS
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Abstract
The invention relates to a large-scale industrial grade natural uranium extraction column modeling simulation method. Establishing a mass transfer diffusion model of the pulse baffle plate extraction column, establishing a thermodynamic model of the uranyl nitrate extraction process, establishing a hydraulic model of the pulse baffle plate extraction column, combining the thermodynamic model of the uranyl nitrate extraction process and the hydraulic model of the pulse baffle plate extraction column, and solving the mass transfer diffusion model by using a Roger Kutta method, so that the concentration results of the uranyl nitrate at the water phase and organic phase outlet of the pulse baffle plate extraction column can be calculated; and checking the calculation result, outputting the result meeting the requirements to obtain a final calculation result, and calculating the result which does not meet the requirements again. The method can simulate the extraction process of uranyl nitrate with the concentration of 450g/L by using an industrial-grade pulse baffle plate column, the precision of a simulation result is high, and the error between the simulation result and the measured value of uranyl nitrate extracted by a real pulse baffle plate extraction column is within 8%.
Description
Technical Field
The invention relates to a modeling simulation method for a large-scale industrial-grade natural uranium extraction column, in particular to a modeling and simulation method for an extraction column in a wet purification process of natural uranium, which can be suitable for an industrial-grade pulse baffle plate extraction column, and the diameter of the extraction column can reach 850 mm.
Background
Solvent extraction is an important chemical separation technology, is realized by utilizing the property that the distribution coefficients of solutes in two solvents which are not soluble or have small solubility are greatly different, and is widely applied to the industries of hydrometallurgy, petrochemical industry, food and drug separation and the like. The extraction equipment mainly comprises a mixer-settler, a centrifugal extractor, a pulse column and the like. The pulse extraction column is extraction equipment with energy pulse input, and breaks up a dispersed phase through pulse energy, so that a two-phase contact surface is enlarged; the turbulence of the two phases is increased, so that the two phases are fully mixed; energy is provided through pulses, so that rapid layering of two phases is facilitated, and mass transfer of the two phases is promoted. The pulse column with annular baffle plate is developed gradually in the seventies of the last century, and compared with clarifying mixer, it has the advantages of simple structure, easy pollution discharge, great flux, easy maintenance, etc. Compared with a sieve plate and a nozzle plate pulse column, the baffle plate pulse column has wider operation area, is favorable for normal and stable operation of equipment, and can treat feed liquid containing solid particles due to the large free sectional area of the baffle plate pulse column, thereby meeting the requirement of natural uranium extraction and purification.
In the early stage, because the computer and software technology are not mature, the analog simulation calculation research on the baffle plate pulse extraction column is less, so far, no analog and simulation technology exists, and the actual operation condition of the baffle plate pulse extraction column can be accurately reproduced in a software mode.
The invention provides a modeling simulation method of a large-scale industrial grade natural uranium extraction column, which can establish a set of extraction column simulation software, can truly simulate the actual operation condition of the extraction column, can observe the change condition of extraction operation by changing parameters in the software, can be used for optimizing the operation parameters of the extraction column and training the process knowledge of operators, has higher simulation result precision, and has the error between the simulation result and the measured value of uranyl nitrate extraction of the real pulse baffle extraction column within 8 percent.
Disclosure of Invention
The invention provides a large-scale industrial grade natural uranium extraction column modeling simulation method which can simulate an industrial grade pulse baffle plate column to perform an extraction process of uranyl nitrate with the concentration as high as 450g/L, the simulation result precision is high, and the error between the simulation result and a measured value of uranyl nitrate extracted by a real pulse baffle plate extraction column is within 8%. The simulation software established by the method can be used for optimizing the operation parameters of the pulse extraction column and training the process knowledge of operators.
In order to achieve the purpose, the technical scheme adopted by the invention is as follows:
a modeling simulation method of a large-scale industrial grade natural uranium extraction column,
1) establishing a mass transfer diffusion model of the pulse baffle plate extraction column:
wherein E isxDiffusion coefficient of the dispersed phase; c. CxThe dispersed phase concentration; z: the height of the column; u shapex: the flow rate of the dispersed phase; k is a radical ofox: total mass transfer coefficient of the dispersed phase; α: mass transfer coefficient; c. Cx *: the dispersed phase concentration in equilibrium with the continuous phase; eyContinuous phase diffusion coefficient; c. Cy: continuous phase concentration; u shapey: a continuous phase flow rate;
2) solving a mass transfer diffusion model based on a thermodynamic model of the uranyl nitrate extraction process and a hydraulic model of a pulse baffle plate extraction column;
3) establishing a thermodynamic model of the uranyl nitrate extraction process:
wherein [ U ]]ORG-uranyl nitrate concentration in the extract, gU/L; [ TBP ]]AQ-volume percentage of TBP in extractant, [ NO ]3]AQ-acidity of nitric acid in the extract stock solution, mol/L; [ U ]]AQThe uranyl nitrate concentration in the extraction stock solution is gU/L; t-temperature of uranyl nitrate extraction process, K;
4) establishing a hydraulic model of the pulse baffle plate extraction column, wherein the dispersed phase liquid holdup model has the following structure:
wherein: xd-dispersed phase liquid hold-up; af is pulse strength of the extraction column with a pulse baffle plate, m/s; v. ofd-disperse phase velocity, m/s; v. ofc-continuous phase velocity, m/s; delta rho-difference in density between the dispersed phase and the continuous phase, kg/m3；ρdDensity of the dispersed phase, kg/m3；ρcContinuous phase density, kg/m3；μd-dispersed phase viscosity, Pas; mu.sc-continuous phase viscosity, Pas; alpha is the annular clearance of the extraction column of the pulse baffle plate; gamma-dispersed phase surface tension, N/m; (Af)m-the average pulse intensity of the extraction column with a pulse baffle plate, m/s; g-acceleration of gravity, kg/N;
5) combining a thermodynamic model of the uranyl nitrate extraction process with a hydraulic model of the pulse baffle plate extraction column, and solving a mass diffusion model by using a Roger Kutta method to calculate the uranyl nitrate concentration results of the water phase and the organic phase outlet of the pulse baffle plate extraction column;
6) and checking the calculation result, outputting the result meeting the requirements to obtain a final calculation result, and calculating the result which does not meet the requirements again.
And establishing a mass transfer diffusion model of the pulse baffle plate extraction column by a differential method.
And carrying out dimensionless operation on the established mass transfer diffusion model of the pulse baffle plate extraction column.
By developing a uranyl nitrate extraction equilibrium test, thermodynamic equilibrium data of uranyl nitrate are obtained, a thermodynamic equilibrium equation of uranyl nitrate is established, and the establishment of a thermodynamic model of the uranyl nitrate extraction process is realized through planning and solving.
A thermodynamic model of the uranyl nitrate extraction process is suitable for the uranyl nitrate extraction process with the concentration range of 1g/L-450 g/L.
The beneficial effects obtained by the invention are as follows:
1) the method can simulate and calculate the extraction operation result of the large-scale baffle plate pulse extraction column in the natural uranium circulation and the natural uranium wet purification process, the modeling method is accurate and high in accuracy, and the error of the modeling method and the measured value of the actual pulse baffle plate extraction column for extracting uranyl nitrate is within 8%.
2) The model established by the method can calculate the extraction rate, the uranium concentration of the raffinate and the uranium concentration of the organic phase under different conditions, and the information such as the running condition of the extraction column, whether the discharged raffinate reaches the standard and the like can be visually seen through the parameters, so that the method has certain guiding significance for running, optimizing the parameters and searching fault reasons of the extraction column.
3) The method realizes the simulation of the extraction process of the large baffle plate pulse extraction column in the natural uranium wet purification process for the first time in China, has high accuracy and is at the leading level in China.
Drawings
FIG. 1 is a mass balance diagram of a diffusion model.
Detailed Description
The invention is described in detail below with reference to the figures and specific embodiments.
The invention provides a modeling and simulation method of an extraction column in a 'wet method' purification process of natural uranium. The specific modeling process is as follows:
1) for a pulse extraction column, firstly, a mass transfer diffusion model of the pulse baffle extraction column is established by a differential method based on mass balance, and the specific mass balance can be expressed as shown in fig. 1: wherein,
feed: extract stock, Raffinate: raffinate, Solvent: extractant, Extract: extracting liquid
X-Phase is the dispersed Phase; Y-Phase: a continuous phase;
Ux: the flow rate of the dispersed phase; u shapey: a continuous phase flow rate;
cxthe dispersed phase concentration; c. Cy: continuous phase concentration; c. Cx *: the dispersed phase concentration in equilibrium with the continuous phase;
Exdiffusion coefficient of the dispersed phase; eyContinuous phase diffusion coefficient;
kox: total mass transfer coefficient of the dispersed phase;
z: the height of the column; δ: differential height of mass transfer; α: and (4) mass transfer coefficient.
By performing mass balance calculation on one of the mass transfer differential heights, the following results can be obtained:
2) the formula 1.1 and the formula 1.2 are combined to establish a mass transfer diffusion model of the pulse baffle plate extraction column, and simultaneously, the mass transfer diffusion model is subjected to dimensionless transformation to form a final mass transfer model.
3) Then, on the basis of a mass transfer model, the invention provides that a thermodynamic model of the mass transfer model based on the uranyl nitrate extraction process and a hydraulic model of a pulse baffle plate extraction column are combined to solve, and the traditional single thermodynamic model theory solving calculation is not used. The method can organically combine a theoretical model in the extraction process with a structural model of the pulse extraction column and establish a model of the industrial-grade pulse extraction column, so that modeling solving of the uranyl nitrate extraction process of the whole pulse baffle plate extraction column is realized, and the accuracy can be effectively improved.
3) And then, establishing a thermodynamic model of the uranyl nitrate extraction process. By developing a uranyl nitrate extraction equilibrium test, thermodynamic equilibrium data of uranyl nitrate are obtained, a thermodynamic equilibrium equation of uranyl nitrate is established, and a thermodynamic model of the uranyl nitrate extraction process is established through planning and solving. The model is unique to the patent and is suitable for the extraction process of uranyl nitrate with the concentration range of 1g/L-450g/L, and the specific model is as follows:
wherein [ U ]]ORG-uranyl nitrate concentration in the extract, gU/L; [ TBP ]]AQ-volume percentage of TBP in extractant, [ NO ]3]AQ-acidity of nitric acid in the extract stock solution, mol/L; [ U ]]AQThe uranyl nitrate concentration in the extraction stock solution is gU/L; t-temperature of uranyl nitrate extraction process, K.
4) And establishing a hydraulic model of the pulse baffle column. In the hydraulic model building process, in order to ensure that the model is more suitable for the structure of the baffle plate column, the hydraulic model is specially optimized, the model is unique to the patent, and the dispersed phase liquid holdup model has the following structure:
wherein: xd-dispersed phase liquid hold-up; af is pulse strength of the extraction column with a pulse baffle plate, m/s; v. ofd-disperse phase velocity, m/s; v. ofc-continuous phase velocity, m/s; delta rho-difference in density between the dispersed phase and the continuous phase, kg/m3；ρdDensity of the dispersed phase, kg/m3；ρcContinuous phase density, kg/m3；μd-dispersed phase viscosity, Pas; mu.sc-the viscosity of the continuous phase,pas; alpha-the annular clearance rate of the extraction column with the pulse baffle plate; gamma-dispersed phase surface tension, N/m; (Af)m-the average pulse intensity of the extraction column of the pulse baffle plate, m/s; g-acceleration of gravity, kg/N.
5) After the thermodynamic model of the uranyl nitrate extraction process and the hydraulic model of the pulse baffle plate column are completed, the thermodynamic model and the hydraulic model are combined, and the mass transfer model (namely the formulas 1.1 and 1.2) is solved by using a Roger Kutta method, so that the uranyl nitrate concentration results of the water phase and organic phase outlet of the pulse baffle plate extraction column can be calculated.
6) After the operation calculation is finished, the calculation result is verified, the output meeting the requirements is output to obtain the final calculation result, and the calculation is carried out again after the output meeting the requirements is returned to the model calculation unit again.
A plurality of mathematical models of fluid flow, liquid drop size and distribution, axial mixing, interphase mass transfer and the like in the baffle plate extraction column are adopted to establish a mathematical model for purifying the uranyl nitrate solution, and the mathematical model is made into extraction column calculation software. The software is written based on VBA language, and can be applied to the simulation calculation of different acidity, different temperature and different tributyl phosphate (TBP) contents of the extraction column. An extraction column diagram is designed and drawn, so that the extraction column diagram is embedded in an Excel Spreadsheet and is manufactured into an extraction simulation software interface. Meanwhile, the following functions are provided: inputting concentration, flow and acidity of an aqueous phase inlet solution (extraction stock solution) of the extraction column; inputting the concentration, flow and TBP content of an organic phase inlet solution (an extracting agent) of the extraction column; inputting pulse amplitude and pulse frequency; outputting the concentration and extraction rate of the solution (raffinate) at the water phase outlet of the extraction column; and (4) outputting the concentration and the extraction rate of the solution at the organic phase outlet of the extraction column. The interface comprises an extraction equilibrium curve and an observation interface of an extraction column uranium concentration distribution diagram.
Claims (5)
1. A large-scale industrial grade natural uranium extraction column modeling simulation method is characterized in that:
1) establishing a mass transfer diffusion model of the pulse baffle plate extraction column:
wherein E isxDiffusion coefficient of the dispersed phase; c. CxThe dispersed phase concentration; z: the height of the column; u shapex: the flow rate of the dispersed phase; k is a radical ofox: total mass transfer coefficient of the dispersed phase; α: mass transfer coefficient; c. Cx *: the dispersed phase concentration in equilibrium with the continuous phase; eyContinuous phase diffusion coefficient; c. Cy: continuous phase concentration; u shapey: a continuous phase flow rate;
2) solving a mass transfer diffusion model based on a thermodynamic model of the uranyl nitrate extraction process and a hydraulic model of a pulse baffle plate extraction column;
3) establishing a thermodynamic model of the uranyl nitrate extraction process:
wherein [ U ]]ORG-uranyl nitrate concentration in the extract, gU/L; [ TBP ]]AQ-volume percentage of TBP in extractant, [ NO ]3]AQ-acidity of nitric acid in the extract stock solution, mol/L; [ U ]]AQThe uranyl nitrate concentration in the extraction stock solution is gU/L; t-the extraction process temperature of uranyl nitrate, K;
4) establishing a hydraulic model of the pulse baffle plate extraction column, wherein the dispersed phase liquid holdup model has the following structure:
wherein: xd-dispersed phase liquid hold-up; af is pulse strength of the extraction column with a pulse baffle plate, m/s; v. ofd-dispersed phase velocity, m/s; v. ofc-continuous phase velocity, m/s; delta rho-difference in density between the dispersed phase and the continuous phase, kg/m3；ρdDensity of the dispersed phase, kg/m3；ρcContinuous phase density, kg/m3；μd-dispersed phase viscosity, Pas; mu.sc-continuous phase viscosity, Pas; alpha is the annular clearance of the extraction column of the pulse baffle plate; gamma-dispersed phase surface tension, N/m; (Af)m-the average pulse intensity of the extraction column of the pulse baffle plate, m/s; g-acceleration of gravity, kg/N;
5) combining a thermodynamic model of the uranyl nitrate extraction process with a hydraulic model of the pulse baffle plate extraction column, and solving a mass diffusion model by using a Roger Kutta method to calculate the uranyl nitrate concentration results of the water phase and the organic phase outlet of the pulse baffle plate extraction column;
6) and checking the calculation result, outputting the result meeting the requirements to obtain a final calculation result, and calculating the result which does not meet the requirements again.
2. The modeling simulation method for the large-scale industrial-grade natural uranium extraction column according to claim 1, characterized in that: and establishing a mass transfer diffusion model of the pulse baffle extraction column by a differential method.
3. The modeling simulation method for the large-scale industrial-grade natural uranium extraction column according to claim 1, characterized in that: and carrying out dimensionless operation on the established mass transfer diffusion model of the pulse baffle plate extraction column.
4. The modeling simulation method for the large-scale industrial-grade natural uranium extraction column according to claim 1, characterized in that: by developing a uranyl nitrate extraction equilibrium test, thermodynamic equilibrium data of uranyl nitrate are obtained, a thermodynamic equilibrium equation of uranyl nitrate is established, and the establishment of a thermodynamic model of the uranyl nitrate extraction process is realized through planning and solving.
5. The modeling simulation method for the large-scale industrial-grade natural uranium extraction column according to claim 1, characterized in that: the thermodynamic model of the uranyl nitrate extraction process is suitable for the uranyl nitrate extraction process with the concentration range of 1g/L-450 g/L.
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| CN117438123A (en) * | 2023-12-22 | 2024-01-23 | 中国核电工程有限公司 | Method and device for determining uranium extraction zone in extraction column and method for controlling position of uranium extraction zone |
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN117077576A (en) * | 2023-10-16 | 2023-11-17 | 中国核电工程有限公司 | Method and device for simulating process of mixer-settler, and verification method and system |
| CN117077576B (en) * | 2023-10-16 | 2024-02-13 | 中国核电工程有限公司 | Method and device for simulating process of mixer-settler, and verification method and system |
| CN117438123A (en) * | 2023-12-22 | 2024-01-23 | 中国核电工程有限公司 | Method and device for determining uranium extraction zone in extraction column and method for controlling position of uranium extraction zone |
| CN117438123B (en) * | 2023-12-22 | 2024-05-07 | 中国核电工程有限公司 | Method and device for determining uranium extraction zone in extraction column and method for controlling position of uranium extraction zone |
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