CN112630848A - Uranium ore quantitative stripping coefficient solving method based on energy spectrum logging characteristic spectrum section - Google Patents

Uranium ore quantitative stripping coefficient solving method based on energy spectrum logging characteristic spectrum section Download PDF

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CN112630848A
CN112630848A CN202011328037.9A CN202011328037A CN112630848A CN 112630848 A CN112630848 A CN 112630848A CN 202011328037 A CN202011328037 A CN 202011328037A CN 112630848 A CN112630848 A CN 112630848A
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uranium
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thorium
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CN112630848B (en
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王海涛
汤彬
王仁波
刘志锋
黄凡
张丽娇
周书民
张雄杰
张焱
陈锐
刘琦
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East China Institute of Technology
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Abstract

The invention discloses a uranium ore quantitative stripping coefficient calculation method based on an energy spectrum logging characteristic spectrum section. The stripping factor can be expressed as a factor that strips off the count rate produced by other elements of the unit content in a certain characteristic spectral band. The uranium ore quantitative stripping coefficient calculation method based on the energy spectrum logging characteristic spectrum section is characterized in that characteristic peaks corresponding to elements including thorium, uranium-radium and potassium in a natural gamma energy spectrum curve are used as objects, the natural gamma energy spectrum curve is divided into a plurality of characteristic spectrum sections, the counting rates of different elements with unit content in a certain characteristic spectrum section are calculated, and the ratio of the counting rates of the two elements in the characteristic spectrum section is the stripping coefficient. The uranium ore quantitative stripping coefficient solving method based on the energy spectrum logging characteristic spectrum section can realize relatively rapid natural gamma energy spectrum logging while ensuring the content analysis precision of three natural gamma radioactive elements including thorium, uranium-radium and potassium.

Description

Uranium ore quantitative stripping coefficient solving method based on energy spectrum logging characteristic spectrum section
Technical Field
The invention belongs to the field of nuclear radiation detection, and the method can realize the radioactive element quantification through rapid natural gamma-ray spectral logging in the uranium ore exploration industry, and is particularly suitable for uranium-thorium mixed type or uranium-thorium-potassium mixed type minerals.
Background
Natural gamma-ray logging is a common geophysical method for drilling wells and is also the basic method for uranium exploration. It is prepared by detecting natural decay series (uranium series, thorium series, actinium uranium series, etc.) and potassium (40K) The total amount of gamma rays or spectral count rate (both of which are proportional to the decay rate) to estimate the content of uranium, thorium or potassium elements in the formation rock that are characterized by the starting nuclide. The natural gamma logging is to place a gamma total amount logging instrument or a gamma energy spectrum logging instrument into a borehole, measure the natural gamma irradiation rate of rock ore on the borehole wall, and determine the position and the thickness of a radioactive stratum penetrated by the borehole and the content of radioactive elements (uranium, thorium and potassium) according to a gamma irradiation rate curve along the depth of the borehole. At present, gamma logging is a main method for reserve calculation in the exploration of uranium deposits and uranium-thorium mixed deposits, and especially when the core sampling rate in a drill hole is not high, gamma logging based on quantitative radioactive elements is particularly important. The gamma logging standard of China only requires a natural gamma total logging method with mature technology to be adopted as a main basis for quantifying uranium in stratum rocks.
In the uranium system and the thorium system in nature, in a radioactive equilibrium state, the proportional relation of the atomic numbers of nuclides in the system is determined, so the relative intensities of gamma rays with different energies are also determined, and uranium and thorium can be identified by selecting the energy of gamma rays of a characteristic nuclide of a certain nuclide from the two systems. The energy of gamma rays emitted by a characteristic nuclide, called characteristic energy, is used in natural gamma-ray spectral logging, e.g. in the uranium family214The gamma rays of 1.76MeV emitted by Bi identify uranium, optionally in the thorium series208Tl emits a gamma ray of 2.62MeV to identify thorium and a gamma ray of 1.46MeV to identify potassium. If the gamma rays are counted separately according to the selected characteristic energy, the spectrum is measured. The energy of the gamma rays emitted by the particles is plotted in a coordinate system, the abscissa represents the energy of the gamma rays, and the ordinate represents the corresponding intensity of the gamma rays with the energy, so that a relation graph of the energy and the intensity of the gamma rays is obtained, and the graph is called an energy spectrum graph or an energy spectrum curve graph of natural gamma rays. Therefore, the measured natural gamma energy spectrum is converted into the content of uranium, thorium and potassium in the stratum and is output in the form of a continuous logging curve, and thus the natural gamma energy spectrum logging is carried out.
Compared with natural gamma total amount logging, the natural gamma energy spectrum logging can not only realize the function of total amount logging, but also obtain more useful information and determine the content of uranium, thorium and potassium in the stratum so as to divide the stratum in more detail and research various geological problems related to the distribution of radioactive elements.
Compared with natural gamma total quantity logging, the relative counting rate (uranium, thorium and potassium counting rates) of natural gamma energy spectrum logging is low, the radioactive statistics fluctuation error is large, in order to improve the curve quality, the volume of a gamma ray detector (crystal) must be increased, the speed measurement is reduced, and the method often conflicts with the actual production requirement. And the content of uranium, thorium and potassium in the stratum is different, so that the quality of uranium, thorium and potassium curves is different. The quality of a natural gamma-ray spectrum logging curve not only depends on the performance and the technical level of the logging instrument, but also is influenced by factors such as the logging environment (a borehole and a stratum), the speed measurement, the sampling interval and the like.
At present, a new fast natural gamma-ray energy spectrum logging method in the uranium mine field is urgently needed to be researched, so that the fast natural gamma-ray energy spectrum logging can be realized while the measurement precision is ensured, and the production application requirements are met. The natural gamma-ray energy spectrum logging method based on the characteristic spectrum segment method is expected to solve the problem, and the method for solving the quantitative scale coefficient of the uranium deposit based on the energy spectrum logging characteristic spectrum segment is the key for realizing the rapid natural gamma-ray energy spectrum logging method. So far, no report that the method is directly applied to uranium ore natural energy spectrum logging is seen.
Disclosure of Invention
The invention aims to provide a uranium ore quantitative stripping coefficient calculation method based on an energy spectrum logging characteristic spectrum section, which aims to realize radioactive element quantification through rapid natural gamma energy spectrum logging in the uranium ore exploration industry.
The purpose of the invention is realized by the following technical scheme:
(1) according to the positions of the characteristic peaks of different radioactive elements, a natural gamma energy spectrum curve is divided into a plurality of characteristic spectral bands:
1) selecting i thorium characteristic peaks from the thorium characteristic spectrum with gamma ray energy of 400keV and energy of at least 2.62MeV, and properly broadening the energy range to form i thorium characteristic spectrum,
2) from the gamma ray energy of 400keV to at least the uranium-radium characteristic peak with energy of 1.76MeV, but not the thorium characteristic peak with energy of 2.62MeV, selecting j uranium-radium characteristic peaks, forming j uranium-radium characteristic spectrum sections by using the characteristic peaks as reference or properly widening the energy range,
3) selecting k potassium characteristic peaks from the gamma ray energy of 400keV at least until the potassium characteristic peak with the energy of 1.46MeV is included, but the uranium-radium characteristic peak with the energy of 1.76MeV is not included, and forming k potassium characteristic spectrum sections by taking the characteristic peaks as a reference or properly widening the energy range of the characteristic peaks;
(2) calculating the counting rate of each characteristic spectrum segment of thorium series, uranium-radium series and potassium series on a natural gamma radioactive standard model:
1) calculating the counting rate of thorium characteristic spectrum on a natural gamma radioactive background standard model
Figure BDA0002794871900000031
Counting rate of characteristic spectrum section of uranium-radium system
Figure BDA0002794871900000032
Counting rate of characteristic spectrum band of potassium series
Figure BDA0002794871900000033
2) At a nominal content of QThThe counting rate of each characteristic spectrum section corresponding to the thorium element is calculated on a natural gamma radioactive thorium element standard model
Figure BDA0002794871900000034
At a nominal content of QThThe counting rate of each characteristic spectrum section corresponding to the uranium-radium element is calculated on a natural gamma radioactive thorium element standard model
Figure BDA0002794871900000035
At a nominal content of QThThe counting rate of each characteristic spectrum section corresponding to the potassium element is obtained on the natural gamma radioactive thorium element standard model
Figure BDA0002794871900000036
3) At a nominal content of QUThe counting rate of each characteristic spectrum section corresponding to the thorium element is calculated on the natural gamma radioactive uranium element standard model
Figure BDA0002794871900000037
At a nominal content of QUNatural gamma radioactive uranium element standardCalculating the counting rate of each characteristic spectrum section corresponding to the uranium-radium element on the model
Figure BDA0002794871900000038
At a nominal content of QUThe counting rate of each characteristic spectrum section corresponding to the potassium element is obtained on the natural gamma radioactive uranium element standard model
Figure BDA0002794871900000039
4) At a nominal content of QKThe counting rate of each characteristic spectrum section corresponding to the thorium element is calculated on a natural gamma radioactive potassium element standard model
Figure BDA00027948719000000310
At a nominal content of QKThe counting rate of each characteristic spectrum section corresponding to the uranium-radium element is solved on a natural gamma radioactive potassium element standard model
Figure BDA00027948719000000311
At a nominal content of QKThe counting rate of each characteristic spectrum section corresponding to the potassium element is obtained on the natural gamma radioactive potassium element standard model
Figure BDA00027948719000000312
(3) And (3) solving a natural gamma energy spectrum stripping coefficient based on the characteristic spectrum:
1) stripping coefficient of thorium element to each characteristic spectrum section of thorium element
Figure BDA00027948719000000313
The stripping coefficients of 1 and uranium-radium elements to each characteristic spectrum segment of the uranium-radium elements
Figure BDA00027948719000000314
All are the stripping coefficients of 1, potassium element to each characteristic spectrum section
Figure BDA00027948719000000315
Are all 1;
2) using a natural gamma radioactive background standard model with a nominal content of QThStandard model of natural gamma-ray radioactive thorium element and nominal content of QUThe standard model of natural gamma radioactive uranium element is used for solving the stripping coefficient of i characteristic spectrum bands of the uranium-radium element to the thorium element:
Figure BDA0002794871900000041
3) using a natural gamma radioactive background standard model with a nominal content of QThStandard model of natural gamma-ray radioactive thorium element and nominal content of QKThe natural gamma radioactive potassium element standard model is used for solving the stripping coefficient of the potassium element to i characteristic spectrum bands of the thorium element:
Figure BDA0002794871900000042
4) using a natural gamma radioactive background standard model with a nominal content of QUStandard model of natural gamma-ray radioactive uranium element and nominal content of QThThe natural gamma radioactive thorium element standard model is used for solving the stripping coefficient of the thorium element to j characteristic spectrum bands of the uranium-radium element:
Figure BDA0002794871900000043
5) using a natural gamma radioactive background standard model with a nominal content of QUStandard model of natural gamma-ray radioactive uranium-radium element and nominal content of QKThe standard model of natural gamma radioactive potassium element is used for solving the stripping coefficient of j characteristic spectrum segments of uranium-radium element by potassium element:
Figure BDA0002794871900000044
6) using a natural gamma radioactive background standard model with a nominal content of QKNatural gamma radioactivity ofStandard model of potassium element and nominal content of QThThe natural gamma radioactive thorium element standard model is used for solving the stripping coefficient of the thorium element to k characteristic spectral bands of the potassium element:
Figure BDA0002794871900000045
7) using a natural gamma radioactive background standard model with a nominal content of QKStandard model of natural gamma radioactive potassium element and nominal content QUThe standard model of natural gamma radioactive uranium-radium element is used for solving the stripping coefficient of the uranium-radium element to k characteristic spectrum bands of the potassium element:
Figure BDA0002794871900000046
8) integrating the steps 1) -7) to obtain a natural gamma energy spectrum stripping coefficient based on the characteristic spectrum:
Figure BDA0002794871900000047
can be formulated as:
Figure BDA0002794871900000051
wherein x and y represent any natural gamma radioactive element, x/y represents element x to element y, m represents each characteristic spectrum segment, m ═ i + j + k, and m ∈ y.
The invention has the advantages that: by utilizing a natural gamma-ray spectroscopy well logging stripping coefficient solving method based on a characteristic spectrum method, the influence of other natural gamma-ray radioactive elements can be stripped in the process of analyzing the content of a certain radioactive element, and the accurate quantification of radioactive elements such as thorium, uranium-radium, potassium and the like is realized; meanwhile, by adopting a characteristic spectrum method, the measuring count rate of the natural gamma energy spectrum curve is effectively utilized, the signal-to-noise ratio of the natural gamma energy spectrum curve is relatively improved, and the measuring speed of the natural gamma energy spectrum can be further improved. If the method is applied to the natural gamma logging process of the uranium ores, the measurement precision can be ensured, meanwhile, the relatively rapid natural gamma energy spectrum logging can be realized, and the production application requirements can be met.
Drawings
FIG. 1 is a flowchart of the peel coefficient calculation in example 1 of the present invention;
FIG. 2 is an example 1 of a characteristic spectrum segmentation method for natural gamma energy spectrum curves containing thorium, uranium-radium and potassium radioactive elements in example 1 of the present invention;
FIG. 3 is an example 2 of the characteristic spectrum segmentation method for natural gamma energy spectrum curve containing thorium, uranium-radium and potassium radioactive elements in example 1 of the present invention;
fig. 4 is a schematic diagram of a process for quantifying thorium, uranium-radium and potassium radioactive elements in uranium ore logging in example 1 of the present invention;
FIG. 5 is a graph illustrating the comparison of the uranium-radium content at different logging speeds in the same well bore according to example 1 of the present invention.
FIG. 6 is a graph comparing the interpretation of the uranium-radium content in the model well with the uranium content of 800ppm according to example 1 of the present invention when the natural gamma total amount logging and the natural gamma spectroscopy logging are used.
In the figure: 1-natural gamma-ray spectrum logging curve, 2-dividing characteristic spectrum sections according to characteristic peaks, 3-selecting a background model and thorium, uranium and potassium models with known contents, 4-natural gamma-ray spectrum curve data measured by each model, 5-counting rate of each characteristic spectrum section and 6-stripping coefficient.
Detailed Description
The invention is described in more detail below with reference to the figures and the detailed description.
The method is characterized in that characteristic peaks corresponding to thorium, uranium-radium and potassium elements in a natural gamma energy spectrum curve are taken as objects, the natural gamma energy spectrum curve is divided into a plurality of characteristic spectrum sections, the counting rates of different elements with unit content in a certain characteristic spectrum section are obtained, and the ratio of the counting rates of the two elements in the characteristic spectrum section is the stripping coefficient.
The invention discloses a uranium ore quantitative stripping coefficient calculation method based on an energy spectrum logging characteristic spectrum section, which comprises the following steps of:
(1) thorium, uranium-radium, and potassium contain not many gamma nuclides, but they emit characteristic gamma rays of hundreds of energies. The characteristic gamma rays with higher radiation probability and higher energy and the corresponding gamma nuclides are shown in table 1. The existing natural gamma-ray spectral logging can only distinguish a few dozen kinds of characteristic gamma-rays, namely the characteristic gamma-rays with the radiation probability of more than 0.01, the energy of more than 0.4MeV and no overlapping peaks. These characteristic gamma rays are called characteristic peaks on the energy spectrum curve, as shown in fig. 2. According to the positions of the characteristic peaks of different radioactive elements, a natural gamma energy spectrum curve is divided into a plurality of characteristic spectral bands:
1) selecting i thorium characteristic peaks from the thorium characteristic spectrum with gamma ray energy of 400keV and energy of at least 2.62MeV, and properly broadening the energy range to form i thorium characteristic spectrum,
2) from the gamma ray energy of 400keV to at least the uranium-radium characteristic peak with energy of 1.76MeV, but not the thorium characteristic peak with energy of 2.62MeV, selecting j uranium-radium characteristic peaks, forming j uranium-radium characteristic spectrum sections by using the characteristic peaks as reference or properly widening the energy range,
3) selecting k potassium characteristic peaks from the gamma ray energy of 400keV at least until the potassium characteristic peak with the energy of 1.46MeV is included, but the uranium-radium characteristic peak with the energy of 1.76MeV is not included, and forming k potassium characteristic spectrum sections by taking the characteristic peaks as a reference or properly widening the energy range of the characteristic peaks;
(2) calculating the counting rate of each characteristic spectrum segment of thorium series, uranium-radium series and potassium series on a natural gamma radioactive standard model:
1) calculating the counting rate of thorium characteristic spectrum on a natural gamma radioactive background standard model
Figure BDA0002794871900000061
Counting rate of characteristic spectrum section of uranium-radium system
Figure BDA0002794871900000062
Counting rate of characteristic spectrum band of potassium series
Figure BDA0002794871900000063
2) At a nominal content of QThThe counting rate of each characteristic spectrum section corresponding to the thorium element is calculated on a natural gamma radioactive thorium element standard model
Figure BDA0002794871900000064
At a nominal content of QThThe counting rate of each characteristic spectrum section corresponding to the uranium-radium element is calculated on a natural gamma radioactive thorium element standard model
Figure BDA0002794871900000065
At a nominal content of QThThe counting rate of each characteristic spectrum section corresponding to the potassium element is obtained on the natural gamma radioactive thorium element standard model
Figure BDA0002794871900000071
3) At a nominal content of QUThe counting rate of each characteristic spectrum section corresponding to the thorium element is calculated on the natural gamma radioactive uranium element standard model
Figure BDA0002794871900000072
At a nominal content of QUThe counting rate of each characteristic spectrum section corresponding to the uranium-radium element is solved on the natural gamma radioactive uranium element standard model
Figure BDA0002794871900000073
At a nominal content of QUThe counting rate of each characteristic spectrum section corresponding to the potassium element is obtained on the natural gamma radioactive uranium element standard model
Figure BDA0002794871900000074
4) At a nominal content of QKThe counting rate of each characteristic spectrum section corresponding to the thorium element is calculated on a natural gamma radioactive potassium element standard model
Figure BDA0002794871900000075
At a nominal content of QKThe counting rate of each characteristic spectrum section corresponding to the uranium-radium element is solved on a natural gamma radioactive potassium element standard model
Figure BDA0002794871900000076
At a nominal content of QKThe counting rate of each characteristic spectrum section corresponding to the potassium element is obtained on the natural gamma radioactive potassium element standard model
Figure BDA0002794871900000077
(3) And (3) solving a natural gamma energy spectrum stripping coefficient based on the characteristic spectrum:
1) stripping coefficient of thorium element to each characteristic spectrum section of thorium element
Figure BDA0002794871900000078
The stripping coefficients of 1 and uranium-radium elements to each characteristic spectrum segment of the uranium-radium elements
Figure BDA0002794871900000079
All are the stripping coefficients of 1, potassium element to each characteristic spectrum section
Figure BDA00027948719000000710
Are all 1;
2) using a natural gamma radioactive background standard model with a nominal content of QThStandard model of natural gamma-ray radioactive thorium element and nominal content of QUThe standard model of natural gamma radioactive uranium element is used for solving the stripping coefficient of i characteristic spectrum bands of the uranium-radium element to the thorium element:
Figure BDA00027948719000000711
3) using a natural gamma radioactive background standard model with a nominal content of QThStandard model of natural gamma-ray radioactive thorium element and nominal content of QKThe natural gamma radioactive potassium element standard model is used for solving the stripping coefficient of the potassium element to i characteristic spectrum bands of the thorium element:
Figure BDA00027948719000000712
4) using a natural gamma radioactive background standard model with a nominal content of QUStandard model of natural gamma-ray radioactive uranium element and nominal content of QThThe natural gamma radioactive thorium element standard model is used for solving the stripping coefficient of the thorium element to j characteristic spectrum bands of the uranium-radium element:
Figure BDA00027948719000000713
5) using a natural gamma radioactive background standard model with a nominal content of QUStandard model of natural gamma-ray radioactive uranium-radium element and nominal content of QKThe standard model of natural gamma radioactive potassium element is used for solving the stripping coefficient of j characteristic spectrum segments of uranium-radium element by potassium element:
Figure BDA0002794871900000081
6) using a natural gamma radioactive background standard model with a nominal content of QKStandard model of natural gamma radioactive potassium element and nominal content QThThe natural gamma radioactive thorium element standard model is used for solving the stripping coefficient of the thorium element to k characteristic spectral bands of the potassium element:
Figure BDA0002794871900000082
7) using a natural gamma radioactive background standard model with a nominal content of QKStandard model of natural gamma radioactive potassium element and nominal content QUOf (2)And (3) obtaining a stripping coefficient of the uranium-radium element to k characteristic spectrum bands of the potassium element by using a horse radioactive uranium-radium element standard model:
Figure BDA0002794871900000083
8) and (4) integrating the steps 1) to 7) in the step (3) to obtain the natural gamma energy spectrum stripping coefficient based on the characteristic spectrum:
Figure BDA0002794871900000084
can be formulated as:
Figure BDA0002794871900000085
wherein x and y represent any natural gamma radioactive element, x/y represents element x to element y, m represents each characteristic spectrum segment, m ═ i + j + k, and m ∈ y.
(4) And (3) solving a natural gamma energy spectrum conversion coefficient based on the characteristic spectrum:
1) using a natural gamma radioactive background standard model and a nominal content of QThThe natural gamma radioactive thorium element standard model calculates the conversion coefficient of the thorium element corresponding to each characteristic spectrum:
Figure BDA0002794871900000086
2) using a natural gamma radioactive background standard model and a nominal content of QUThe standard model of natural gamma radioactive uranium-radium element is used for solving the conversion coefficient of the uranium-radium element corresponding to each characteristic spectrum:
Figure BDA0002794871900000091
3) using a natural gamma radioactive background standard model and a nominal content of QKFromThen, the gamma radioactive potassium element standard model calculates the conversion coefficient of potassium element corresponding to each characteristic spectrum:
Figure BDA0002794871900000092
and (4) integrating the steps 1) to 3) in the step (4) to obtain a natural gamma energy spectrum conversion coefficient based on the characteristic spectrum:
Figure BDA0002794871900000093
can be formulated as:
Figure BDA0002794871900000094
wherein y represents an arbitrary natural gamma radioactive element, QyAnd (3) expressing the nominal content of the radioactive standard model element y, wherein m represents each characteristic spectrum segment, and m belongs to i + j + k and m belongs to y.
(5) The content q of the radioactive element is calculated according to the following formulax
Figure BDA0002794871900000095
Can be formulated as:
Figure BDA0002794871900000096
wherein x and y represent any natural gamma radioactive elements (thorium, uranium-radium and potassium respectively), x/y represents element x to element y, m represents each characteristic spectrum segment, and m is i + j + k and belongs to y.
If i, j and k are all 1, one characteristic spectrum segment is selected for thorium element, uranium-radium element and potassium element, natural gamma-ray spectrum logging is completed by the process shown in fig. 4 of the embodiment 1, the content of radioactive elements of thorium, uranium-radium and potassium is obtained, the content comparison of explanation of the radioactive elements of uranium-radium is obtained under the condition of different logging speeds in the same well hole, and the effect is shown in fig. 5. And natural gamma total amount logging and natural gamma energy spectrum logging based on a characteristic spectrum segment method are respectively carried out in the model well, so that the content of radioactive elements such as thorium, uranium-radium and potassium in the total amount logging interpretation result and the energy spectrum logging interpretation result is compared, and the effect is shown in figure 6. From the comparison effect of fig. 5 and fig. 6, it can be seen that by using the uranium ore quantitative stripping coefficient calculation method based on the energy spectrum logging characteristic spectrum section, when the natural gamma energy spectrum logging speed reaches 4m/min, the accurate quantification of radioactive elements such as thorium, uranium-radium, potassium and the like can be still realized, and the production and application requirements are met.
TABLE 1 Gamma-nuclide data sheet for Natural radioactive decay (only characteristic Gamma-rays with high radiation probability and energy are listed)
Figure BDA0002794871900000101
Note: data are presented for characteristic gamma rays and their gamma nuclides for only radiation probability >0.001 (meaning the radiation probability of a single radioactive decay), thorium, uranium-radium, and potassium emissions with energy >0.4 MeV.

Claims (1)

1. A uranium ore quantitative stripping coefficient solving method based on an energy spectrum logging characteristic spectrum section comprises the following steps:
(1) according to the positions of the characteristic peaks of different radioactive elements, a natural gamma energy spectrum curve is divided into a plurality of characteristic spectral bands:
1) selecting i thorium characteristic peaks from the thorium characteristic spectrum with gamma ray energy of 400keV and energy of at least 2.62MeV, and properly broadening the energy range to form i thorium characteristic spectrum,
2) from the gamma ray energy of 400keV to at least the uranium-radium characteristic peak with energy of 1.76MeV, but not the thorium characteristic peak with energy of 2.62MeV, selecting j uranium-radium characteristic peaks, forming j uranium-radium characteristic spectrum sections by using the characteristic peaks as reference or properly widening the energy range,
3) selecting k potassium characteristic peaks from the gamma ray energy of 400keV at least until the potassium characteristic peak with the energy of 1.46MeV is included, but the uranium-radium characteristic peak with the energy of 1.76MeV is not included, and forming k potassium characteristic spectrum sections by taking the characteristic peaks as a reference or properly widening the energy range of the characteristic peaks;
(2) calculating the counting rate of each characteristic spectrum segment of thorium series, uranium-radium series and potassium series on a natural gamma radioactive standard model:
1) calculating the counting rate of thorium characteristic spectrum on a natural gamma radioactive background standard model
Figure FDA0002794871890000011
Counting rate of characteristic spectrum section of uranium-radium system
Figure FDA0002794871890000012
Counting rate of characteristic spectrum band of potassium series
Figure FDA0002794871890000013
2) At a nominal content of QThThe counting rate of each characteristic spectrum section corresponding to the thorium element is calculated on a natural gamma radioactive thorium element standard model
Figure FDA0002794871890000014
At a nominal content of QThThe counting rate of each characteristic spectrum section corresponding to the uranium-radium element is calculated on a natural gamma radioactive thorium element standard model
Figure FDA0002794871890000015
At a nominal content of QThThe counting rate of each characteristic spectrum section corresponding to the potassium element is obtained on the natural gamma radioactive thorium element standard model
Figure FDA0002794871890000016
3) At a nominal content of QUThe counting rate of each characteristic spectrum section corresponding to the thorium element is calculated on the natural gamma radioactive uranium element standard model
Figure FDA0002794871890000017
At a nominal content of QUThe counting rate of each characteristic spectrum section corresponding to the uranium-radium element is solved on the natural gamma radioactive uranium element standard model
Figure FDA0002794871890000021
At a nominal content of QUThe counting rate of each characteristic spectrum section corresponding to the potassium element is obtained on the natural gamma radioactive uranium element standard model
Figure FDA0002794871890000022
4) At a nominal content of QKThe counting rate of each characteristic spectrum section corresponding to the thorium element is calculated on a natural gamma radioactive potassium element standard model
Figure FDA0002794871890000023
At a nominal content of QKThe counting rate of each characteristic spectrum section corresponding to the uranium-radium element is solved on a natural gamma radioactive potassium element standard model
Figure FDA0002794871890000024
At a nominal content of QKThe counting rate of each characteristic spectrum section corresponding to the potassium element is obtained on the natural gamma radioactive potassium element standard model
Figure FDA0002794871890000025
(3) And (3) solving a natural gamma energy spectrum stripping coefficient based on the characteristic spectrum:
1) stripping coefficient of thorium element to each characteristic spectrum section of thorium element
Figure FDA0002794871890000026
The stripping coefficients of 1 and uranium-radium elements to each characteristic spectrum segment of the uranium-radium elements
Figure FDA0002794871890000027
All are the stripping coefficients of 1, potassium element to each characteristic spectrum section
Figure FDA0002794871890000028
Are all 1;
2) using a natural gamma radioactive background standard model with a nominal content of QThStandard model of natural gamma-ray radioactive thorium element and nominal content of QUThe standard model of natural gamma radioactive uranium element is used for solving the stripping coefficient of i characteristic spectrum bands of the uranium-radium element to the thorium element:
Figure FDA0002794871890000029
3) using a natural gamma radioactive background standard model with a nominal content of QThStandard model of natural gamma-ray radioactive thorium element and nominal content of QKThe natural gamma radioactive potassium element standard model is used for solving the stripping coefficient of the potassium element to i characteristic spectrum bands of the thorium element:
Figure FDA00027948718900000210
4) using a natural gamma radioactive background standard model with a nominal content of QUStandard model of natural gamma-ray radioactive uranium element and nominal content of QThThe natural gamma radioactive thorium element standard model is used for solving the stripping coefficient of the thorium element to j characteristic spectrum bands of the uranium-radium element:
Figure FDA00027948718900000211
5) using a natural gamma radioactive background standard model with a nominal content of QUStandard model of natural gamma-ray radioactive uranium-radium element and nominal content of QKThe standard model of natural gamma radioactive potassium element is used for solving the stripping coefficient of j characteristic spectrum segments of uranium-radium element by potassium element:
Figure FDA00027948718900000212
6) using a natural gamma radioactive background standard model with a nominal content of QKStandard model of natural gamma radioactive potassium element and nominal content QThThe natural gamma radioactive thorium element standard model is used for solving the stripping coefficient of the thorium element to k characteristic spectral bands of the potassium element:
Figure FDA0002794871890000031
7) using a natural gamma radioactive background standard model with a nominal content of QKStandard model of natural gamma radioactive potassium element and nominal content QUThe standard model of natural gamma radioactive uranium-radium element is used for solving the stripping coefficient of the uranium-radium element to k characteristic spectrum bands of the potassium element:
Figure FDA0002794871890000032
8) and (4) integrating the steps 1) to 7) in the step (3) to obtain the natural gamma energy spectrum stripping coefficient based on the characteristic spectrum:
Figure FDA0002794871890000033
can be formulated as:
Figure FDA0002794871890000034
wherein x and y represent any natural gamma radioactive element, x/y represents element x to element y, m represents each characteristic spectrum segment, m ═ i + j + k, and m ∈ y.
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