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CN111505101B - Uranium ore producing area classification method based on principal component analysis - Google Patents

Uranium ore producing area classification method based on principal component analysis Download PDF

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CN111505101B
CN111505101B CN202010352579.3A CN202010352579A CN111505101B CN 111505101 B CN111505101 B CN 111505101B CN 202010352579 A CN202010352579 A CN 202010352579A CN 111505101 B CN111505101 B CN 111505101B
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邵学鹏
樊怡辰
龙开明
卜文庭
汤磊
刘雪梅
郝樊华
谢波
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Institute of Nuclear Physics and Chemistry China Academy of Engineering Physics
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Abstract

The invention discloses a uranium ore producing area classification method based on principal component analysis. The method comprises the following steps: (1) Collecting a uranium ore sample, and pretreating to obtain a uranium ore sample solution; (2) Measuring the content of rare earth elements in a uranium ore sample by adopting an inductively coupled plasma mass spectrometer; (3) Analyzing the Nd isotope ratio in the uranium ore sample by adopting a thermal surface ionization mass spectrometer; (4) And (3) performing principal component analysis on the content of the rare earth elements and the Nd isotope ratio, and classifying the uranium ore samples according to production places according to calculation results. Aiming at the problems of nuclear material responsibility tracing and the like, the invention adopts a multivariate statistical analysis method, improves the classification accuracy of the uranium ores and adapts to the requirements of nuclear evidence obtaining application.

Description

Uranium ore producing area classification method based on principal component analysis
Technical Field
The invention relates to the technical field of ore classification, in particular to a uranium ore producing area classification method based on principal component analysis.
Background
In recent years, the nuclear activities of countries and regions around China have become a focus of international attention, countries such as korea, japan, india and pakistan have a sufficient amount of nuclear materials, the risk of the nuclear materials flowing into the surrounding countries and regions is high, china should pay attention to the nuclear diffusion situation of the surrounding regions, and once the nuclear materials are diffused to the country, the nuclear activities are a great hidden danger of national stability and safety. Therefore, mastering the nuclear evidence obtaining technology is beneficial to protecting the nuclear safety benefits of China and maintaining the international reputation of China.
For the reasons, a comprehensive subject involving multiple subjects, namely the nuclear evidence collection, is generated. The purpose of nuclear forensics is to provide characteristic quantities and process history information of intercepted nuclear materials as much as possible, provide evidences for tracing the origin, production process and transportation route of the materials, and provide technical support for proving the responsibility of exploring illegal possession of the nuclear materials and radioactive materials. Among them, the traceability analysis of the geographical source of nuclear materials is the key point of the nuclear evidence research, and uranium ore becomes an important analysis object of the nuclear evidence research as a basic raw material of the nuclear materials.
In nuclear evidence research, a characteristic fingerprint that provides accurate and reliable geographic traceability information is generally referred to as a regional indicator. At present, the traditional uranium ore producing area classification method mainly adopts trace element content or stable isotope composition as a regional indicator for research, however, if the stable isotope composition is independently used as the regional indicator, the defects of extremely limited contained information and low accuracy exist; if the trace elements are used as the regional indicators independently, the method generally classifies the producing areas by comparing the distribution curves of the trace elements, and because the trace elements have various types and large content difference, the method is difficult to directly classify the trace elements according to the producing areas, has strong subjectivity, is difficult to quantify and has large errors. In addition, because the chemical properties of the rare earth elements in the trace elements are relatively close, the correlation coefficient is relatively large, namely, the contained information is relatively overlapped, the traditional method for classifying the nuclear material producing areas by taking the rare earth elements as the regional indicators has the problems of relatively large calculated amount and low analysis efficiency.
Disclosure of Invention
In view of the above, the invention aims to provide an effective and high-accuracy uranium ore production place classification method based on principal component analysis.
In order to achieve the above purpose, the technical scheme of the invention is as follows:
a uranium ore producing area classification method based on principal component analysis is characterized by comprising the following steps:
(1) Collecting m uranium ore samples, and carrying out pretreatment to obtain uranium ore sample solutions;
(2) Respectively measuring the content of rare earth elements in m uranium ore samples by adopting an inductively coupled plasma mass spectrometer;
(3) Respectively measuring Nd isotope ratios in the m uranium ore samples by adopting a thermal surface ionization mass spectrometer;
(4) Performing principal component analysis according to the rare earth element content and Nd isotope ratio of each uranium ore sample, and classifying the uranium ore samples according to the production place sources; wherein, the step (4) specifically comprises the following steps:
step (4.1) utilizes the content of rare earth elements and Nd isotope ratio of each uranium ore sample 143 Nd/ 144 Nd, solving a covariance matrix;
step (4.2) combining the covariance matrix with the extreme value theorem to obtain a principal component coefficient matrix, and solving the characteristic root and the variance contribution rate of each principal component;
step (4.3) sorting the variance contribution rates from large to small, and selecting principal components of which the cumulative variance contribution rate is more than 80% and the characteristic root is more than 1;
determining corresponding principal component coefficients of the selected principal components according to the principal component coefficient matrix, multiplying the content of each rare earth element and the Nd isotope ratio with the corresponding principal component coefficients of the selected principal components respectively, and summing the products to obtain corresponding principal component values of each uranium ore sample respectively;
and (4.5) drawing a uranium ore sample distribution map by taking each principal component as a coordinate axis, and classifying the geographical sources of the uranium ore samples according to the spatial positions of the sample points in the distribution map.
Further, the step (1) specifically comprises the following steps:
step (1.1) grinding a uranium ore sample into powder with uniform particles by using a spherical grinder;
weighing a uranium ore powder sample and placing the uranium ore powder sample in a polytetrafluoroethylene beaker;
digesting: sequentially adding HNO into a polytetrafluoroethylene beaker 3 HF and HClO 4 Heating the beaker on an electric heating plate for a certain time;
step (1.4) after the sample solution is completely evaporated to dryness, utilizing concentrated HNO 3 Dissolving;
step (1.5) repeating operation step (1.4) for multiple times until the dissolution is complete;
step (1.6) after the sample solution is evaporated to dryness again, HCl and H are used 3 BO 3 And dissolving the mixed acid again to obtain a uranium ore sample solution.
Further, in the step (1.3), HNO 3 The concentration is 15mol/L;
further, in the step (1.3), the concentration of HF is 20mol/L;
further, in the step (1.3), HClO 4 The concentration is 12.4mol/L;
further, in the step (1.6), H 3 BO 3 The concentration is 0.5mol/L;
further, the inductively coupled plasma mass spectrometry of step (2) is performed under the following conditions: the sample introduction rate was 0.3rps, and was stable for 35 seconds before analysis; in the He gas mode, the number of acquisition points of the acquisition number of the unit mass number is 3, and the data acquisition repetition frequency is 3; the radio frequency power is 1550W, the flow rate of the carrier gas is 5.5mL/min, and the temperature of the atomizing chamber is 2 ℃.
Further, the step (3) of measuring the Nd isotope ratio in the uranium ore sample by adopting a thermal surface ionization mass spectrometer specifically comprises the following steps:
step (3.1) coating the sample solution on the center of a rhenium strip lamp wire by using a micropipette;
step (3.2) the filament after sample coating is loaded into an ion source, the filament is heated, and a central Faraday cup is adopted for receiving 144 Nd + Adjusting ion current peak shape and peak center;
step (3.3) adjusting the focusing parameters of the electron lens of the thermal surface ionization mass spectrometer, and heating the filament at a low speed to obtain a stable and strong filament 143 Nd + And 144 Nd + ion current intensity;
step (3.4) when the vacuum degree of the ion source reaches a certain value, obtaining 143 Nd/ 144 And obtaining the Nd isotope ratio.
Further, the step (3.4) is specifically that the vacuum degree of the ion source is more than or equal to 1.1 multiplied by 10 -7 mbar, is obtained 143 Nd/ 144 The ratio of Nd.
Compared with the prior art, the invention has the following advantages and beneficial effects:
1. according to the invention, on the selection of the regional indicator, the regional indicator of the uranium ore is formed by adopting the content of the rare earth element and the Nd isotope, so that the problems that other common regional indicator elements are easily influenced by the mining and metallurgy processes or have poor synchronism and the like are solved;
2. according to the method, the classification research of the producing areas of the uranium ores is carried out by using a principal component analysis method, most information of original variables is kept, data are effectively compressed, and the rapid and accurate producing area classification can be realized.
3. The uranium ore producing area classification method provided by the invention realizes accurate producing area classification of the uranium ore by combining the rare earth element content and the Nd isotope composition, and can be used for tracing analysis on nuclear materials, radioactive materials and other related materials.
Drawings
FIG. 1 is a graph showing the distribution of the main components based on the content of rare earth elements and the ratio of Nd isotope in one example;
fig. 2 is a partial diagram of the distribution of the main component based on the content of the rare earth element and the Nd isotope ratio provided in the first embodiment.
Detailed Description
The present invention will now be described more fully hereinafter with reference to the accompanying examples, in which some, but not all embodiments of the invention are shown. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
A uranium ore producing area classification method based on principal component analysis is characterized by comprising the following steps:
(1) Collecting m uranium ore samples, and carrying out pretreatment to obtain uranium ore sample solutions;
(2) Respectively measuring the content of rare earth elements in m uranium ore samples by adopting an inductively coupled plasma mass spectrometer;
(3) Respectively measuring Nd isotope ratios in the m uranium ore samples by adopting a thermal surface ionization mass spectrometer;
(4) And (3) performing principal component analysis according to the rare earth element content and Nd isotope ratio of each uranium ore sample, and classifying the uranium ore samples according to the origin of the production area.
And (4) performing principal component analysis according to the rare earth element content and Nd isotope ratio of each uranium ore sample, and classifying the uranium ore samples according to the production place sources. The method specifically comprises the following steps:
step (4.1) utilizes the content of rare earth elements and Nd isotope ratio of each uranium ore sample 143 Nd/ 144 Nd, solving a covariance matrix;
step (4.2) combining the covariance matrix with the extreme value theorem to obtain a principal component coefficient matrix, and solving the characteristic root and the variance contribution rate of each principal component;
step (4.3) sorting the variance contribution rates from large to small, and selecting principal components with the accumulated variance contribution rate larger than 80% and the characteristic root larger than 1;
step (4.4) determining corresponding principal component coefficients of the selected principal components according to the principal component coefficient matrix, multiplying the content of each rare earth element and the Nd isotope ratio with the corresponding principal component coefficients of the selected principal components respectively, and summing the products to obtain corresponding principal component values of each uranium ore sample respectively;
and (4.5) drawing a uranium ore sample distribution map by taking each principal component as a coordinate axis, and carrying out production place classification on the uranium ore sample according to the spatial position of a sample point in the distribution map.
Further, m uranium ore samples are collected in the step (1) and are subjected to pretreatment, and uranium ore sample solutions are obtained.
The method specifically comprises the following steps:
step (1.1) grinding a uranium ore sample into powder with uniform particles with the particle size of about 10 microns by using a spherical grinder;
step (1.2) weighing a uranium ore powder sample with a certain mass by using a high-precision balance and placing the uranium ore powder sample into a polytetrafluoroethylene beaker;
digesting: sequentially adding HNO into a polytetrafluoroethylene beaker 3 HF and HClO 4 Heating the beaker on an electric heating plate for a certain time;
step (1.4) after the sample solution is completely evaporated to dryness, utilizing concentrated HNO 3 Dissolving;
step (1.5) repeating operation step (1.4) for multiple times until the dissolution is complete;
step (1.6) after the sample solution is evaporated to dryness again, HCl and H are used 3 BO 3 The mixed acid is dissolved again to eliminate fluorinated complexes possibly generated in the uranium ore sample digestion process, and a uranium ore sample solution is obtained.
Further, in the step (1.3), HNO 3 The concentration is 15mol/L;
further, in the step (1.3), the concentration of HF is 20mol/L;
further, in the step (1.3), HClO 4 The concentration is 12.4mol/L;
further, in the step (1.6), H 3 BO 3 The concentration is 0.5mol/L;
further, the inductively coupled plasma mass spectrometry of step (2) is performed under the following conditions: the sample introduction rate was 0.3rps, and was stable for 35 seconds before analysis; in the He gas mode, the number of acquisition points of the acquisition number of the unit mass number is 3, and the data acquisition repetition frequency is 3; the radio frequency power is 1550W, the flow rate of the carrier gas is 5.5mL/min, and the temperature of the atomizing chamber is 2 ℃.
Further, the step (3) adopts a thermal surface ionization mass spectrometer to measure the Nd isotope ratio in the uranium ore sample. The method specifically comprises the following steps:
step (3.1) coating the sample solution on the center of a rhenium strip lamp wire by using a micropipette, which is favorable for improving the ionization efficiency of the sample;
step (3.2) the filament after sample coating is loaded into an ion source, the filament is heated, and a central Faraday cup is adopted for receiving 144 Nd + Adjusting ion flow peak shape and peak center;
step (3.3) adjusting the focusing parameters of the electron lens of the thermal surface ionization mass spectrometer, and heating the filament at a low speed to obtain a stable and strong filament 143 Nd + And 144 Nd + ion current intensity;
step (3.4) when the vacuum degree of the ion source reaches a certain value, adopting a Faraday cup to receive the ion source simultaneously 143 Nd + And 144 Nd + ion flow to obtain 143 Nd/ 144 And obtaining the Nd isotope ratio.
Further, the rhenium filament current rising speed in the step (3.2) is 200 mA/min-800 mA/min;
further, the rhenium filament current rising speed in the step (3.3) is 30 mA/min-80 mA/min, the rhenium filament current rising speed is not too fast, otherwise, the too fast evaporation consumption of the sample is easily caused;
further, in the step (3.4), the vacuum degree of the ion source is more than or equal to 1.1 multiplied by 10 -7 mbar, is obtained 143 Nd/ 144 The Nd ratio;
further, each measurement in the step (3.4) consists of 10-20 blocks, and each block contains 10-16 cycles;
furthermore, the rhenium filament current increasing speed in the step (3.2) is 400mA/min;
further, the rhenium filament current rising speed in the step (3.3) is 60mA/min;
further, each measurement in step (3.4) consists of 16 blocks, each block containing 11 cycles.
Example 1
In this embodiment, a uranium ore origin classification method based on principal component analysis specifically includes the following steps:
collecting a uranium ore sample, and carrying out pretreatment to obtain a uranium ore sample solution;
the total of 25 uranium ore samples collected in the laboratory, which are respectively from four continents of europe, africa, north america and oceania, wherein 10 uranium ore samples produced in the united states, 7 uranium ore samples produced in congo, 3 uranium ore samples produced in australia, 2 uranium ore samples produced in macagasco, 1 uranium ore sample produced in germany, 1 uranium ore sample produced in mexico and 1 uranium ore sample produced in nanobira are contained.
Pre-treating a uranium ore sample: it was first ground to a uniform particle size of about 10 microns using a ball mill and the digestion process was as follows:
(1) Weighing a 500mg uranium ore powder sample by using a high-precision balance and placing the sample in a polytetrafluoroethylene beaker;
(2) 9mL of HNO with the concentration of 15mol/L are added in sequence 3 6mL of HF at a concentration of 20mol/L and 3mL of HClO at a concentration of 12.4mol/L 4 Digesting, namely heating the polytetrafluoroethylene beaker on an electric hot plate to 210 ℃, and keeping the temperature for 24 hours;
(3) After the sample solution is completely evaporated to dryness, 10mL of concentrated HNO is used 3 Dissolving;
(4) Repeating the operation step (1.4) for multiple times until the dissolution is complete;
(5) After the sample solution was evaporated to dryness again, 4mL of 2.5mol/L HCl and 2mL of 0.5mol/L H were added 3 BO 3 The mixed acid is redissolved at 90 ℃ to eliminate fluorinated complexes which may remain during digestion of the uranium ore sample.
And (4) completely digesting the uranium ore powder sample to obtain a sample solution.
And (2) measuring the content of rare earth elements in 25 uranium ore samples by adopting an inductively coupled plasma mass spectrometer:
measuring the content of 14 rare earth elements La, ce, pr, nd, sm, eu, gd, tb, dy, ho, er, tm, yb and Lu in each uranium ore sample solution by adopting an inductively coupled plasma mass spectrometer, wherein the conditions of the inductively coupled plasma mass spectrometer are set as follows: sample introduction rate 0.3rps, stable 35 seconds before analysis; in the He gas mode, the number of acquisition points of the acquisition number of the unit mass number is 3, and the data acquisition repetition frequency is 3; the radio frequency power is 1550W, the flow rate of the carrier gas is 5.5mL/min, and the temperature of the atomizing chamber is 2 ℃. The ICP-MS measurement results of the rare earth element contents of the 25 uranium ore samples are shown in table 1.
TABLE 1 measurement of the content (ppm) of each rare earth element in uranium ore samples and the Nd isotope ratio
Figure BDA0002472376770000061
Figure BDA0002472376770000071
TABLE 1 measurement of the ratio of the content (ppm) of each rare earth element to Nd isotope in uranium ore samples
Figure BDA0002472376770000072
Figure BDA0002472376770000081
And (3) measuring the Nd isotope ratio in the uranium ore sample by adopting a thermal surface ionization mass spectrometer:
step (3.1) in the sample coating process of the thermal ionization mass spectrum, a rhenium band is usually adopted as a sample band, the length of the rhenium band is about 10mm, the width of the rhenium band is about 0.1mm, a micropipette is adopted to dropwise add a sample solution on the rhenium band, and the sample solution is heated and evaporated to dryness under appropriate current. Since the rhenium band is very narrow, only 1. Mu.L of sample solution can be added dropwise at a time, and therefore, the sample addition needs to be repeated several times.
Before the sample is coated, the blank rhenium belt is placed in vacuum of 10 -5 Pa, vacuum cleaning and degassing with a heating current through the rhenium strip, typically 5.5A for a duration of about 30min. The program can effectively reduce the measurement background caused by hydrocarbon, reduce the interference of isobaric ions with the same quantity, improve the vacuum degree of the ion source during measurement and be beneficial to maintaining a good measurement environment. It is noted that to increase the ionic current strength, improve ionization efficiency and reduce isotope fractionation, micropipettes should be used to coat the sample solution in the center of the rhenium band as much as possible.
The specific sample coating conditions are as follows: 1 μ L of the sample solution was added dropwise to the rhenium ribbon at a current of 0.9A. After the mixture is dried by distillation, adding current to 1.3A, and keeping for 2min; then adding current to 1.8A, and keeping for 30s; then adding current to 2A and keeping for 2s; slowly reducing the current to 1.3A, and keeping for 30s; and slowly reducing the current to 0A, and taking down the rhenium band to be tested.
Step (3.2) the filament after sample coating is loaded into an ion source, the filament is heated to about 1000 ℃ at the speed of 200mA/min, and a central Faraday cup is adopted for receiving 144 Nd + Adjusting ion flow peak shape and peak center;
step (3.3) repeatedly adjusting the gathering parameters of the electron lens of the thermal surface ionization mass spectrometer, and optimizing the state of the electron lens of the thermal surface ionization mass spectrometer; the filament is heated at a low speed of 60mA/min to obtain the stable and strong filament 143 Nd + And 144 Nd + ion current intensity;
step (3.4) when the vacuum degree of the ion source is better than 1.1 multiplied by 10 -7 measurement at mbar Nd + Ion flow, obtaining 143 Nd/ 144 The ratio of Nd. Each measurement consists of 16 blocks, each containing 11 cycles. The integration time and dead time for each cycle were set to 4.914s and 3s, respectively.
To correct for mass fractionation effects, to 146 Nd/ 144 Nd =0.7219 is a correction reference value, and the measured Nd isotope ratio is corrected by adopting an exponential law to obtain the Nd isotope ratio in each uranium ore sample 143 Nd/ 144 The measurement results of the ratio of Nd (hereinafter, ε Nd was used instead) are shown in Table 1.
And (4) performing principal component analysis according to the rare earth element content and Nd isotope ratio of each uranium ore sample, and classifying the uranium ore samples according to the production place sources.
And (3) calculating covariance of all the quantities by using SPSS 20 statistical analysis software and taking the content information of the 14 rare earth elements and the Nd isotope ratio of each uranium ore sample as input quantities to obtain covariance matrixes of 25 uranium ore samples (table 2). As can be seen from the matrix: except for epsilon Nd, sm and Eu, the absolute values of correlation coefficients of the epsilon Nd and the contents of the rest 12 rare earth elements are less than 0.2, which shows that the fingerprint information contained in the Nd isotope has smaller compressible space.
TABLE 2 covariance matrix based on rare earth element content and Nd isotope ratio
La Ce Pr Nd Sm Eu Gd Tb
La 1.000 .907 .506 .292 .070 .129 .483 .274
Ce .907 1.000 .820 .651 .279 .109 .805 .612
Pr .506 .820 1.000 .957 .540 .063 .998 .913
Nd .292 .651 .957 1.000 .715 .056 .964 .985
Sm .070 .279 .540 .715 1.000 .000 .557 .819
Eu .129 .109 .063 .056 .000 1.000 .051 .051
Gd .483 .805 .998 .964 .557 .051 1.000 .923
Tb .274 .612 .913 .985 .819 .051 .923 1.000
Dy .231 .456 .676 .807 .971 -.011 .690 .892
Ho .268 .451 .620 .745 .966 -.033 .633 .844
Er .317 .625 .885 .958 .852 .002 .895 .983
Tm .325 .678 .959 .989 .695 -.053 .970 .972
Yb .224 .605 .937 .977 .643 -.063 .953 .950
Lu .203 .495 .778 .898 .929 -.071 .796 .955
εNd .114 .130 .086 -.006 -.243 -.396 .078 -.072
TABLE 2 covariance matrix based on rare earth element content and Nd isotope ratio
Figure BDA0002472376770000091
Figure BDA0002472376770000101
The covariance matrix is combined with the extreme value principle to obtain principal components, the characteristic root and variance contribution rate of each principal component are calculated to obtain a table 3, and the table shows that: the characteristic root values corresponding to the first three principal components are all larger than 1, wherein the characteristic root value of the first principal component reaches 10.222, and the contribution rate reaches 68.148%; the second principal component characteristic root value is 1.974, the contribution rate is 13.161%, the third principal component is 1.424, and the contribution rate is 9.496%, wherein the cumulative contribution rate of the first two principal components reaches 81.309%, which indicates that the first two principal components already contain most of the original information. And selecting the first two principal components for analysis according to the requirements that the accumulated contribution rate of the principal components is more than 80% and the characteristic root is more than 1.
TABLE 3 characteristic root and contribution rate of each main component based on rare earth element content and Nd isotope ratio
Principal component Characteristic root Contribution ratio (%) Cumulative contribution ratio (%)
1 10.222 68.148 68.148
2 1.974 13.161 81.309
3 1.424 9.496 90.805
4 .864 5.763 96.568
5 .468 3.117 99.685
6 .020 .133 99.818
7 .015 .098 99.916
8 .012 .082 99.998
9 .000 .001 99.999
10 7.629E-005 .001 100.000
11 1.762E-005 .000 100.000
12 6.711E-006 4.474E-005 100.000
13 3.146E-006 2.097E-005 100.000
14 4.184E-007 2.789E-006 100.000
15 1.726E-007 1.151E-006 100.000
And (3) obtaining a coefficient matrix of the first two selected principal components by combining a covariance matrix with an extreme value principle as shown in a table 4, multiplying the content of each rare earth element and the Nd isotope ratio with the corresponding principal component coefficient in the principal component coefficient matrix respectively, and summing the products to obtain the corresponding principal component value of each uranium ore sample respectively.
Expression of the first principal component:
PC1=0.039×La+0.068×Ce+0.091×Pr+0.095×Nd+0.079×Sm+0.001×Eu+0.091×Gd+0.097×Tb+0.088×Dy+0.084×Ho+0.097×Er+0.095×Tm+0.091×Yb+0.093×Lu–0.004×εNd;
expression of the second principal component:
PC2=0.356×La+0.325×Ce+0.161×Pr+0.020×Nd–0.261×Sm+0.006×Eu+0.147×Gd–0.041×Tb–0.176×Dy–0.180×Ho–0.045×Er+0.044×Tm+0.034×Yb–0.135×Lu+0.265×εNd;
TABLE 4 principal component coefficient matrix based on rare earth element content and Nd isotope ratio
Coefficient of first principal component Coefficient of second principal component
La .039 .356
Ce .068 .325
Pr .091 .161
Nd .095 .020
Sm .079 -.261
Eu .001 .006
Gd .091 .147
Tb .097 -.041
Dy .088 -.176
Ho .084 -.180
Er .097 -.045
Tm .095 .044
Yb .091 .034
Lu .093 -.135
εNd -.004 .265
PC1 is positively correlated with other statistical variables except for ε Nd; PC2 is in negative correlation with Sm, tb, dy, ho, er and Lu, and is in positive correlation with other statistical variables. Since the cumulative contribution rates of the first two principal components exceed 80%, the two-dimensional distribution map of the uranium ore sample is drawn by using the first principal component and the second principal component as coordinate axes in the present embodiment.
As can be seen from the principal component distribution diagram 1:
(1) The uranium ore sample distribution method includes the steps that 25 uranium ore samples from different geographical sources are obviously aggregated, the uranium ore samples are mainly divided into 5 types, and the specific distribution is shown in a circle surrounded by a figure;
(2) The uranium ore samples from the motor Gassaka, australia, germany and Nanbia have better aggregation condition and are easy to distinguish;
(3) Samples of uranium ore from congo, usa, mexico are grouped together in a class and closely spaced from each other.
For the sake of easy observation, the uranium ore sample accumulation region from congo, usa is enlarged to obtain fig. 2, and it can be clearly seen that 10 U.S. samples, 7 congo samples and 1 mexican sample are mixedly distributed in the region of-0.6-plus pc1-0.35, -0.5-plus pc2-plus 0.8, which can be distinguished by the dotted line in the figure.

Claims (9)

1. A uranium ore producing area classification method based on principal component analysis is characterized by comprising the following steps:
(1) Collecting m uranium ore samples, and carrying out pretreatment to obtain uranium ore sample solutions;
(2) Respectively measuring the content of rare earth elements in m uranium ore samples by adopting an inductively coupled plasma mass spectrometer;
(3) Respectively measuring Nd isotopes in m uranium ore samples by adopting thermal surface ionization mass spectrometer 143 Nd and 144 the ratio of Nd;
(4) According to the content of rare earth elements and Nd isotope of each uranium ore sample 143 Nd and 144 performing principal component analysis on the ratio of Nd, and classifying uranium ore samples according to the origin of the production area;
wherein, the step (4) specifically comprises the following steps:
step (4.1) utilizes the content of rare earth elements and Nd isotope of each uranium ore sample 143 Nd and 144 the ratio of Nd is used for solving a covariance matrix;
step (4.2) combining the covariance matrix with the extreme value theorem to obtain a principal component coefficient matrix, and solving the characteristic root and the variance contribution rate of each principal component; step (4.3) sorting the variance contribution rates from large to small, and selecting principal components with the accumulated variance contribution rate larger than 80% and the characteristic root larger than 1;
step (4.4) determining the corresponding principal component coefficients of the selected principal components according to the principal component coefficient matrix, and determining the contents of the respective rare earth elements and Nd isotopes 143 Nd and 144 multiplying the ratio of Nd by the corresponding principal component coefficient of the selected principal component respectively, and summing the products to obtain the corresponding principal component value of each uranium ore sample respectively;
and (4.5) drawing a uranium ore sample distribution map by taking each principal component as a coordinate axis, and performing geographical source classification on the uranium ore sample according to the spatial position of a sample point in the distribution map.
2. The method for classifying uranium ore producing regions based on principal component analysis according to claim 1, wherein: the step (1) specifically comprises the following steps:
step (1.1) grinding a uranium ore sample into powder with uniform particles by using a ball grinder;
weighing a uranium ore powder sample and placing the uranium ore powder sample in a polytetrafluoroethylene beaker;
digesting: sequentially adding HNO into a polytetrafluoroethylene beaker 3 HF and HClO 4 Heating the beaker on an electric heating plate for a certain time;
step (1.4) after the sample solution is completely evaporated to dryness, utilizing concentrated HNO 3 Dissolving;
step (1.5) repeating operation step (1.4) for multiple times until the dissolution is complete;
step (1.6) after the sample solution is evaporated to dryness again, HCl and H are used 3 BO 3 And dissolving the mixed acid again to obtain a uranium ore sample solution.
3. The method for classifying uranium ore origins based on principal component analysis according to claim 2, wherein: in the step (1.3), the HNO 3 The concentration was 15mol/L.
4. The method for classifying uranium ore producing regions based on principal component analysis according to claim 2, wherein: in the step (1.3), the concentration of HF is 20mol/L.
5. The method for classifying uranium ore producing regions based on principal component analysis according to claim 2, wherein: in the step (1.3), the HClO 4 The concentration was 12.4mol/L.
6. The method for classifying uranium ore producing regions based on principal component analysis according to claim 2, wherein: in the step (1.3), the H 3 BO 3 The concentration was 0.5mol/L.
7. The method for classifying uranium ore producing regions based on principal component analysis according to claim 1, wherein: the inductively coupled plasma mass spectrometry in the step (2) has the following conditions: the sample introduction rate was 0.3rps, and was stable for 35 seconds before analysis; in the He gas mode, the number of acquisition points of the acquisition number of the unit mass number is 3, and the data acquisition repetition frequency is 3; the radio frequency power is 1550W, the flow rate of the carrier gas is 5.5mL/min, and the temperature of the atomizing chamber is 2 ℃.
8. The method for classifying uranium ore producing regions based on principal component analysis according to claim 1, wherein: the step (3) of measuring the Nd isotope ratio in the uranium ore sample by adopting a thermal surface ionization mass spectrometer specifically comprises the following steps:
step (3.1) coating a sample solution on the center of a rhenium strip filament by using a micropipette;
step (3.2) the filament after sample coating is loaded into an ion source, the filament is heated, and a central Faraday cup is adopted for receiving 144 Nd + Adjusting ion flow peak shape and peak center;
step (3.3) adjusting the focusing parameters of the electron lens of the thermal surface ionization mass spectrometer, and heating the filament at a low speed to obtain a stable and strong filament 143 Nd + And 144 Nd + ion current intensity;
step (3.4) when the vacuum degree of the ion source reaches a certain value, obtaining 143 Nd and 144 and obtaining the Nd isotope ratio.
9. The method for classifying uranium ore origins based on principal component analysis according to claim 8, wherein: the step (3.4) is specifically that the vacuum degree of the ion source is more than or equal to 1.1 multiplied by 10 -7 mbar, is obtained 143 Nd and 144 the ratio of Nd.
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