CN114647916A - Simulation modeling method of natural uranium extraction and purification system - Google Patents
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Abstract
The invention belongs to the technical field of extraction and purification of natural uranium in nuclear fuel circulation, and particularly relates to a simulation modeling method of a natural uranium extraction and purification system. Determining the parameter type of an extraction and purification system, and dividing the parameter type into a process operation parameter and a pulse column structure parameter; taking technological operation parameters as input operation variables and taking pulse column structure parameters as fixed quantities; respectively establishing mass transfer models of an extraction column, a washing column and a back extraction column in the extraction and purification system by a unit differential method; carrying out dimensionless transformation on the mass transfer model; solving the dimensionless mass transfer model, establishing a thermodynamic model and a hydraulic model of the pulse column in the uranyl nitrate extraction and purification process, and combining the thermodynamic model and the hydraulic model, namely combining the extraction reaction process and the structural characteristics of the pulse column used in the extraction reaction process. The operation result of the natural uranium extraction and purification process can be truly simulated, and the operation results under different two-phase flow ratios, concentrations, acidity and temperatures can be simulated and calculated.
Description
Technical Field
The invention belongs to the technical field of extraction and purification of natural uranium in nuclear fuel circulation, and particularly relates to a simulation modeling method of a natural uranium extraction and purification system.
Background
With the development of industrial intelligence, the industry 4.0 proposes that intelligence becomes a trend. The extraction and purification of the natural uranium concentrate are important links of nuclear fuel circulation, and metal impurities in a uranyl nitrate solution are removed through extraction-washing-back extraction processes in the process, so that the quality of a rear-end product is ensured. The process has multiple reaction mechanisms and complex process operation, and the change of process conditions is strictly controlled to avoid material leakage and nuclear accidents, so that exploratory tests cannot be carried out to explore the limit conditions of an extraction system.
At present, no relevant report exists, a set of accurate mathematical model can be established to simulate the operation of the industrial extraction column, the existing extraction column modeling is generally theoretical modeling, but is not established aiming at the real industrial extraction column, the accuracy is poor, the difference with the operation result of the extraction column applied in industry is large, and the guidance to the actual production is poor.
The invention provides a method for simulating and establishing a simulation system for the operation of a natural uranium extraction and purification process, which can simulate the operation of a natural uranium extraction system (extraction-washing-back extraction process), can simulate the operation of an industrial-grade natural uranium extraction column, and has small deviation between a model operation result and an actual result.
Disclosure of Invention
The invention aims to provide a simulation modeling method of a natural uranium extraction and purification system, which combines the structural characteristics of a pulse column, establishes a hydraulic model matched with the extraction column, a washing column and a back extraction column respectively, and then simulates and establishes a thermodynamic model aiming at the chemical characteristics of the extraction process, the washing process and the back extraction process. A hydraulics model and a thermodynamics model are combined, and a mathematical model (extraction-washing-back extraction) of the purification process of the uranyl nitrate is comprehensively established and manufactured. The operation result of the natural uranium extraction and purification process can be truly simulated, and the operation results under different two-phase flow ratios, concentrations, acidity and temperatures can be simulated and calculated. The operation result is real and reliable, the precision is high, and the error between the calculation result simulated by the system and the operation result of the real extraction system is within 5 percent. The established simulation model can be used for exploring process parameters and optimizing the process parameters, and can also be used for checking abnormal working conditions in process operation to solve field problems. Meanwhile, new process personnel can be trained, and the operation level is improved.
In order to achieve the purpose, the technical scheme adopted by the invention is as follows:
a simulation modeling method of a natural uranium extraction and purification system,
the first step is as follows: determining the parameter type of an extraction and purification system, and dividing the parameter type into a process operation parameter and a pulse column structure parameter;
the second step is that: taking technological operation parameters as input operation variables and taking pulse column structure parameters as fixed quantities;
the third step: respectively establishing mass transfer models of an extraction column, a washing column and a back extraction column in the extraction and purification system by a unit differential method; carrying out dimensionless transformation on the mass transfer model;
the fourth step: solving a dimensionless mass transfer model, establishing a thermodynamic model and a hydraulic model of a pulse column in the uranyl nitrate extraction and purification process, and combining the thermodynamic model and the hydraulic model, namely combining the extraction reaction process and the structural characteristics of the pulse column used in the extraction reaction process;
the fifth step: establishing a thermodynamic model in the extraction and purification process of uranyl nitrate;
firstly, a thermodynamic model of an extraction column uranyl nitrate extraction process 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;
washing column uranyl nitrate washing process thermodynamic model:
wherein [ U ]]ORG-uranyl nitrate concentration in the washed organic phase, gU/L; [ NO ]3]AQ-acidity of nitric acid in the washing liquid, mol/L; [ U ]]AQ-uranyl nitrate concentration in the wash liquor, gU/L;
③ a thermodynamic model of the reverse extraction column uranyl nitrate reverse extraction process:
wherein [ U ]]AQThe uranyl nitrate concentration in the stripping solution is gU/L; [ NO ]3]ORGThe acidity of the organic phase at the inlet of the pulse sieve plate back extraction column is mol/L; [ U ]]ORGThe uranyl nitrate concentration in the organic phase at the inlet of the pulse sieve plate back extraction column is gU/L; t-reaction temperature in back extraction process, DEG C;
and a sixth step: establishing a hydraulic model of the pulse column;
the dispersed phase liquid holdup models of the pulse extraction column and the pulse washing column are as follows:
wherein xd is the dispersed phase liquid holdup; 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-density difference of two phases of dispersed phase and 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-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;
secondly, the dispersed phase liquid holdup model of the pulse back extraction column is as follows:
xd=1.1*106*exp[50.56*|Af-(Af)m|]*vd 0.86*(vc+vd)0.28*Δρ-0.3*ρd -0.93*μd 0.77
*α-0.56*h-0.56*0.55
wherein x isd-dispersed phase liquid hold-up; af is pulse sieve plate back extraction column pulse intensity, m/s; v. ofd-dispersed phase velocity, m/s; v. ofc-continuous phase velocity, m/s; delta rho-density difference of two phases of dispersed phase and continuous phase, kg/m3;ρdThe density of the dispersed phase, kg/m3;μd-dispersed phase viscosity, Pas; alpha-the opening rate of the sieve plate of the back extraction column of the pulse sieve plate; gamma-dispersed phase surface tension, N/m; h is the plate interval between the sieve plates of the back extraction column of the pulse sieve plate, m; (Af)m-average pulse intensity m/s of the pulse sieve plate back extraction column;
the seventh step: respectively combining mass transfer models corresponding to the extraction column, the washing column and the back extraction column with corresponding thermodynamic models and hydraulic models to obtain a final precise model of the uranyl nitrate extraction and purification system;
eighthly, bringing the process operation parameters determined in the first step into a final precise model of the uranyl nitrate extraction and purification system, and solving by using a Roger Kutta method to obtain uranyl nitrate concentration results of a water phase outlet and an organic phase outlet which are required by a model simulation result;
the ninth step: 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 technological parameters include water phase material flow, concentration and acidity in the pulse column and organic phase material concentration and flow in the organic phase inlet.
The pulse column structure parameters comprise the height and the diameter of the pulse column.
By developing a uranyl nitrate extraction equilibrium test, thermodynamic equilibrium data of uranyl nitrate is obtained, a thermodynamic equilibrium equation of uranyl nitrate is established, and the establishment of a thermodynamic model in the extraction and purification process of uranyl nitrate is realized through planning and solving.
The beneficial effects obtained by the invention are as follows:
1) the method realizes the establishment of a mathematical model of the natural uranium extraction and purification system for the first time, and the modeling method has high accuracy and has an error of less than 5% with an operation result of a real extraction system.
2) This patent has expounded a simulation model establishment method of uranium purification system of industrial grade natural extraction post for the first time, can simulate the operation of industrial grade natural uranium extraction purification system, and simple theoretical simulation, the reliability is high, and the error is little.
3) Through software simulation calculation, the method has certain reference significance for optimizing the structure of equipment, amplifying the equipment, expanding the capacity and theoretically researching the uranium purification production line.
4) The model established by the method has more controllable parameters, and can simulate and calculate the operation results under different two-phase flow ratios, concentrations, acidity and temperatures. The method has multiple functions of process parameter exploration and optimization, process fault troubleshooting, process personnel training and the like.
Drawings
Fig. 1 is a flow chart of a simulation modeling method of a natural uranium extraction and purification system.
Detailed Description
The invention is described in detail below with reference to the figures and specific embodiments.
A simulation modeling method of a natural uranium extraction and purification system comprises the following specific processes:
the first step is as follows: determining the parameter type of the extraction and purification system, and dividing the parameter type into a process operation parameter and a pulse column structure parameter. The process operation parameters are parameters which can be changed in the design process of the extraction and purification system and can realize process operation control, and include flow rate, concentration and acidity of materials at a water phase inlet of the pulse column, concentration and flow rate of materials at an organic phase inlet and the like. The structural parameters of the pulse column in the extraction and purification system refer to parameters related to the physical structure of the pulse column, such as the height, the diameter and other geometric dimensions.
The second step is that: according to the classification of the first step, the process operating parameters are used as variables which can be input and are used as operating variables in the whole extraction and purification system modeling process. The structural parameters of the pulse column are used as fixed quantity, and once the structural parameters are determined, the structural parameters cannot be changed, and the structural parameters are transformed.
The third step: and respectively establishing mass transfer models of an extraction column, a washing column and a back extraction column in the extraction and purification system by a unit differential method. In order to avoid bringing in process operation parameters in the mass transfer model calculation process, all process operation parameter units are inconsistent, so that the model solution is complicated, the mass transfer model is subjected to non-dimensionalization, the influence of different process parameter units is removed, and the non-dimensionalized mass transfer model is formed.
The fourth step: solving a dimensionless mass transfer model, particularly establishing a thermodynamic model and a hydraulic model of a pulse column in the process of uranyl nitrate extraction and purification in order to improve the precision and accuracy of solving the mass transfer model, and combining the thermodynamic model and the hydraulic model, namely combining the extraction reaction process and the structural characteristics of a reactor (pulse column) used in the extraction reaction process, so as to improve the accuracy of the model.
The fifth step: and (3) establishing a thermodynamic model of the uranyl nitrate extraction and purification 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 the establishment of a thermodynamic model is realized through planning and solving. Therefore, carry out corresponding thermodynamic equilibrium experiment respectively to extraction, washing, three processes of stripping, confirm through the experiment that the model that this patent is peculiar is respectively as follows, the accuracy of running process can effectively be improved in the proposition of this novel mathematical model:
thermodynamic model of extraction process of specific uranyl nitrate of extraction column
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.
Thermodynamic model of washing process of uranyl nitrate special for washing column
Wherein [ U ]]ORG-uranyl nitrate concentration in the washed organic phase, gU/L; [ NO ]3]AQ-acidity of nitric acid in the washing liquid, mol/L; [ U ]]AQThe uranyl nitrate concentration in the wash liquor was gU/L.
Thermodynamic model of specific uranyl nitrate back extraction process of back extraction column
Wherein [ U ]]AQThe uranyl nitrate concentration in the stripping solution is gU/L; [ NO ]3]ORGThe acidity of the organic phase at the inlet of the pulse sieve plate back extraction column is mol/L; [ U ]]ORGThe uranyl nitrate concentration in the organic phase at the inlet of the pulse sieve plate back extraction column is gU/L; t-reaction temperature in back extraction process, DEG C.
And a sixth step: and establishing a hydraulic model of the pulse column.
In the process of establishing the hydraulic model, in order to ensure that the model is more suitable for the structure of the pulse column, modeling is respectively carried out on the pulse extraction column, the pulse washing column and the pulse back-extraction column, and meanwhile, the pulse column structure parameters which are determined in the first step and correspond to each column are brought in, so that the hydraulic model is optimized in a specific manner. The dispersed phase liquid holdup model in the hydraulics model is unique to the patent after optimization:
thirdly, the dispersed phase liquid holdup models of the pulse extraction column and the pulse washing column are as follows:
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-density difference of two phases of dispersed phase and 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.
The dispersed phase liquid holdup model of the pulse back extraction column is as follows:
xd=1.1*106*exp[50.56*|Af-(Af)m|]*vd 0.86*(vc+vd)0.28*Δρ-0.3*ρd -0.93*μd 0.77
*α-0.56*h-0.56*0.55
wherein x isd-dispersed phase liquid hold-up; af is pulse strength m/s of a pulse sieve plate back extraction column; v. ofd-dispersed phase velocity m/s; v. ofc-continuous phase velocity m/s; delta rho-density difference of two phases of dispersed phase and continuous phase, kg/m3;ρdDensity of the dispersed phase, kg/m3;μd-dispersed phase viscosity, Pas; alpha-the opening rate of the sieve plate of the back extraction column of the pulse sieve plate; gamma-dispersed phase surface tension, N/m; h is the plate spacing between the pulse sieve plate back extraction column sieve plates, m; (Af)mThe average pulse intensity m/s of the pulse sieve plate back extraction column.
The seventh step: after a thermodynamic model of the uranyl nitrate extraction and purification process and a hydraulic model of the pulse column are completed, combining mass transfer models corresponding to the extraction column, the washing column and the back extraction column with the corresponding thermodynamic model and the hydraulic model respectively to obtain a final uranyl nitrate extraction and purification system accurate model.
And step eight, bringing the process operation parameters determined in the step one into a final precise model of the uranyl nitrate extraction and purification system, and solving by using a Roger Kutta method to obtain the uranyl nitrate concentration results of a water phase outlet and an organic phase outlet required by the model simulation result.
The ninth step: 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.
The input items of the software model established by the simulation method comprise two types: the concentration, flow, acidity, temperature and the like of the materials at the water phase inlet of the pulse column, and the concentration, flow and the like of the materials at the organic phase inlet of the pulse column. Correspondingly, the output items also include two categories: the concentration of the material in the water phase of the pulse column and the concentration of the material in the organic phase outlet of the pulse column.
The model established by the method can be used for independently carrying out process simulation calculation on the extraction column, the washing column or the back extraction column in the extraction and purification system, and can also be used for simulating the whole extraction and purification system. Therefore, in the process of establishing the model, models of an extraction column, a washing column and a back extraction column are established independently, and then the models are connected, so that the models have the capability of independent calculation and joint calculation. The model schematic diagram is shown in figure 1.
The extraction-washing-back extraction process takes TBP-hydrogenated kerosene as an extracting agent and a uranyl nitrate solution as an extraction stock solution, wherein the concentration distribution of uranyl nitrate in the whole process of extraction-washing-back extraction with the extraction stock solution uranium concentration within the range of 0-450g/L can be simulated. The extraction-washing-back extraction process is an industrial application, the extraction column and the washing column are annular baffle plate pulse columns with the diameter of phi 880mm and phi 830mm, and the back extraction column is a pulse sieve plate column with the diameter of phi 1050 mm. The system consists of an input and output operation interface and a mathematical model background. The error of the calculation result simulated by the system and the operation result of the real extraction system is within 5 percent, wherein the input items comprise the input items of the concentration, the flow, the acidity, the temperature and the like of the water phase inlet of the extraction column, the washing column and the back extraction column, and the input items of the concentration, the flow, the temperature and the like of the organic phase inlet of the extraction column, the washing column and the back extraction column. The output items are the output items of outlet concentration, extraction rate and the like of the water phase and the organic phase of each column. The software system is written based on Visual Basic Application (VBA) language, can be flexibly modified and upgraded, and can output clear and Visual calculation results including data tables, graphs and the like. The method has multiple functions of process parameter exploration and optimization, process troubleshooting, process personnel training and the like.
Claims (4)
1. A simulation modeling method of a natural uranium extraction and purification system is characterized by comprising the following steps:
the first step is as follows: determining the parameter type of an extraction and purification system, and dividing the parameter type into a process operation parameter and a pulse column structure parameter;
the second step is that: taking technological operation parameters as input operation variables and taking pulse column structure parameters as fixed quantities;
the third step: respectively establishing mass transfer models of an extraction column, a washing column and a back extraction column in the extraction and purification system by a unit differential method; carrying out dimensionless transformation on the mass transfer model;
the fourth step: solving a dimensionless mass transfer model, establishing a thermodynamic model and a hydraulic model of a pulse column in the uranyl nitrate extraction and purification process, and combining the thermodynamic model and the hydraulic model, namely combining the extraction reaction process and the structural characteristics of the pulse column used in the extraction reaction process;
the fifth step: establishing a thermodynamic model in the extraction and purification process of uranyl nitrate;
firstly, a thermodynamic model of an extraction column uranyl nitrate extraction process 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;
② a thermodynamic model of a washing column uranyl nitrate washing process:
wherein [ U ]]ORG——The uranyl nitrate concentration in the washed organic phase is gU/L; [ NO ]3]AQ-acidity of nitric acid in the washing liquid, mol/L; [ U ]]AQ-uranyl nitrate concentration in the wash liquor, gU/L;
③ a thermodynamic model of the reverse extraction column uranyl nitrate reverse extraction process:
wherein [ U ]]AQThe uranyl nitrate concentration in the stripping solution is gU/L; [ NO ]3]ORGThe acidity of the organic phase at the inlet of the pulse sieve plate back extraction column is mol/L; [ U ]]ORGThe uranyl nitrate concentration in the organic phase at the inlet of the pulse sieve plate back extraction column is gU/L; t-reaction temperature in the back extraction process, DEG C;
and a sixth step: establishing a hydraulic model of the pulse column;
the dispersed phase liquid holdup models of the pulse extraction column and the pulse washing column are as follows:
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-density difference of two phases of dispersed phase and continuous phase, kg/m3;ρdThe density 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-gravityAcceleration, kg/N;
secondly, the dispersed phase liquid holdup model of the pulse back extraction column is as follows:
xd=1.1*106*exp[50.56*|Af-(Af)m|]*vd 0.86*(vc+vd)0.28*Δρ-0.3*ρd -0.93*μd 0.77*α-0.56*h-0.56*0.55
wherein x isd-dispersed phase liquid hold-up; af is pulse sieve plate back extraction column pulse intensity, m/s; v. ofd-dispersed phase velocity, m/s; v. ofc-continuous phase velocity, m/s; delta rho-density difference of two phases of dispersed phase and continuous phase, kg/m3;ρdDensity of the dispersed phase, kg/m3;μd-dispersed phase viscosity, Pas; alpha-the aperture ratio of the sieve plate of the back extraction column of the pulse sieve plate; gamma-dispersed phase surface tension, N/m; h is the plate interval between the sieve plates of the back extraction column of the pulse sieve plate, m; (Af)m-average pulse intensity m/s of the pulse sieve plate back extraction column;
the seventh step: respectively combining mass transfer models corresponding to the extraction column, the washing column and the back extraction column with corresponding thermodynamic models and hydraulic models to obtain a final precise model of the uranyl nitrate extraction and purification system;
eighthly, bringing the process operation parameters determined in the first step into a final precise model of the uranyl nitrate extraction and purification system, and solving by using a Roger Kutta method to obtain uranyl nitrate concentration results of a water phase outlet and an organic phase outlet which are required by a model simulation result;
the ninth step: 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 simulation modeling method of a natural uranium extraction and purification system according to claim 1, wherein: the technological parameters include water phase material flow, concentration and acidity in the pulse column and organic phase material concentration and flow in the organic phase inlet.
3. The simulation modeling method of a natural uranium extraction and purification system according to claim 1, wherein: the pulse column structure parameters comprise the height and the diameter of the pulse column.
4. The simulation modeling method of a natural uranium extraction and purification system according to claim 1, wherein: by developing a uranyl nitrate extraction equilibrium test, thermodynamic equilibrium data of uranyl nitrate is obtained, a thermodynamic equilibrium equation of uranyl nitrate is established, and the establishment of a thermodynamic model in the extraction and purification process of uranyl nitrate is realized through planning and solving.
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