CN112630849A - Uranium ore quantitative stripping coefficient solving method based on energy spectrum logging characteristic spectrum peak - Google Patents
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- 238000001228 spectrum Methods 0.000 title claims abstract description 168
- 229910052770 Uranium Inorganic materials 0.000 title claims abstract description 32
- JFALSRSLKYAFGM-UHFFFAOYSA-N uranium(0) Chemical compound [U] JFALSRSLKYAFGM-UHFFFAOYSA-N 0.000 title claims abstract description 32
- 238000000034 method Methods 0.000 title claims description 17
- 230000002285 radioactive effect Effects 0.000 claims abstract description 106
- ZSLUVFAKFWKJRC-IGMARMGPSA-N 232Th Chemical compound [232Th] ZSLUVFAKFWKJRC-IGMARMGPSA-N 0.000 claims abstract description 85
- 229910052776 Thorium Inorganic materials 0.000 claims abstract description 85
- ZLMJMSJWJFRBEC-UHFFFAOYSA-N Potassium Chemical compound [K] ZLMJMSJWJFRBEC-UHFFFAOYSA-N 0.000 claims abstract description 70
- 239000011591 potassium Substances 0.000 claims abstract description 70
- 229910052700 potassium Inorganic materials 0.000 claims abstract description 70
- DLFWIFNRAUYTHF-UHFFFAOYSA-N [Ra].[U] Chemical compound [Ra].[U] DLFWIFNRAUYTHF-UHFFFAOYSA-N 0.000 claims abstract description 63
- 230000003595 spectral effect Effects 0.000 claims abstract description 6
- 230000005477 standard model Effects 0.000 claims description 74
- 230000005251 gamma ray Effects 0.000 claims description 26
- VBWSWBQVYDBVGA-NAHFVJFTSA-N uranium-234;uranium-235;uranium-238 Chemical compound [234U].[235U].[238U] VBWSWBQVYDBVGA-NAHFVJFTSA-N 0.000 claims description 15
- 150000003109 potassium Chemical class 0.000 claims description 6
- 150000001218 Thorium Chemical class 0.000 claims description 4
- 238000004364 calculation method Methods 0.000 abstract description 8
- 238000011002 quantification Methods 0.000 abstract description 7
- 230000005855 radiation Effects 0.000 description 6
- 238000006243 chemical reaction Methods 0.000 description 5
- 238000000084 gamma-ray spectrum Methods 0.000 description 4
- 239000011435 rock Substances 0.000 description 4
- GFRMDONOCHESDE-UHFFFAOYSA-N [Th].[U] Chemical compound [Th].[U] GFRMDONOCHESDE-UHFFFAOYSA-N 0.000 description 2
- 238000004458 analytical method Methods 0.000 description 2
- 238000005259 measurement Methods 0.000 description 2
- 230000005258 radioactive decay Effects 0.000 description 2
- 229910052705 radium Inorganic materials 0.000 description 2
- HCWPIIXVSYCSAN-UHFFFAOYSA-N radium atom Chemical compound [Ra] HCWPIIXVSYCSAN-UHFFFAOYSA-N 0.000 description 2
- 150000001224 Uranium Chemical class 0.000 description 1
- YLPPHTRRAUTERD-UHFFFAOYSA-N [Ac].[U] Chemical class [Ac].[U] YLPPHTRRAUTERD-UHFFFAOYSA-N 0.000 description 1
- YPHLCJMCHHXHTR-UHFFFAOYSA-N [K].[Th].[U] Chemical compound [K].[Th].[U] YPHLCJMCHHXHTR-UHFFFAOYSA-N 0.000 description 1
- 230000015572 biosynthetic process Effects 0.000 description 1
- 238000001514 detection method Methods 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 238000005553 drilling Methods 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 229910052500 inorganic mineral Inorganic materials 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 239000011707 mineral Substances 0.000 description 1
- 239000002245 particle Substances 0.000 description 1
- 238000005070 sampling Methods 0.000 description 1
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- G01V5/00—Prospecting or detecting by the use of ionising radiation, e.g. of natural or induced radioactivity
- G01V5/04—Prospecting or detecting by the use of ionising radiation, e.g. of natural or induced radioactivity specially adapted for well-logging
- G01V5/06—Prospecting or detecting by the use of ionising radiation, e.g. of natural or induced radioactivity specially adapted for well-logging for detecting naturally radioactive minerals
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- G—PHYSICS
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- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
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Abstract
The invention discloses a uranium ore quantitative stripping coefficient calculation method based on an energy spectrum logging characteristic spectrum peak. The stripping coefficient may be expressed as a coefficient that strips off the count rate produced by other elements of the unit content at a certain characteristic spectral peak. The uranium ore quantitative stripping coefficient calculation method based on the energy spectrum logging characteristic spectrum peak divides a natural gamma energy spectrum curve into a plurality of characteristic spectrum peaks corresponding to thorium, uranium-radium and potassium elements, obtains the counting rate of different elements with unit content at a certain characteristic spectrum peak, and obtains the ratio of the counting rates of the two elements at the characteristic spectrum peak as the stripping coefficient. The uranium ore quantitative stripping coefficient calculation method based on the energy spectrum logging characteristic spectrum peak realizes accurate quantification of three natural gamma radioactive elements including thorium, uranium-radium and potassium.
Description
Technical Field
The invention belongs to the field of nuclear radiation detection, and can realize accurate quantification of various radioactive elements through natural gamma-ray spectrum 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.
The proportional relation of the nuclear numbers of nuclides in uranium and thorium in nature is determined in a radioactive equilibrium state becauseThe relative intensities of the different energy gamma rays are also determined, and uranium and thorium can be identified by selecting the energies of the characteristic nuclide gamma rays of a certain nuclide in the two families respectively. 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. For example, for mixed uranium deposit, the natural gamma total logging cannot realize accurate uranium deposit quantification, and a natural gamma energy spectrum logging method applicable to uranium deposit needs to be researched. The uranium ore quantitative stripping coefficient calculation method based on the energy spectrum logging characteristic spectrum peak can realize accurate quantification of radioactive elements of thorium, uranium-radium and potassium. So far, no report of applying the method to uranium ore natural energy spectrum logging production practice 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 peak, which aims to realize accurate quantification of different types of radioactive elements through 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 spectrum peaks:
1) selecting i thorium characteristic spectrum peaks from the gamma ray energy of 400keV at least until the energy of the thorium characteristic spectrum peaks is 2.62MeV,
2) selecting j uranium-radium characteristic spectrum peaks from the energy of gamma ray of 400keV at least until the uranium-radium characteristic spectrum peak with energy of 1.76MeV is included, but the thorium characteristic spectrum peak with energy of 2.62MeV is not included,
3) k characteristic spectrum peaks are selected from the K characteristic spectrum peaks which are from the gamma ray energy of 400keV at least until the K characteristic spectrum peaks with the energy of 1.46MeV are included, but the uranium-radium characteristic spectrum peaks with the energy of 1.76MeV are not included;
(2) calculating the counting rate of each characteristic spectrum peak 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 peak on a natural gamma radioactive background standard model
Counting rate of characteristic spectrum peak of uranium-radium system
Count rate of characteristic spectrum peak of potassium series
2) At a nominal content of QThThe counting rate of each characteristic spectrum peak corresponding to the thorium element is calculated on a natural gamma radioactive thorium element standard model
At a nominal content of QThNatural gamma radioactive thorium elementCalculating the counting rate of each characteristic spectrum peak corresponding to the uranium-radium element on the standard model
At a nominal content of QThThe counting rate of each characteristic spectrum peak corresponding to the potassium element is calculated on the natural gamma radioactive thorium element standard model
3) At a nominal content of QUThe counting rate of each characteristic spectrum peak corresponding to the thorium element is calculated on a natural gamma radioactive uranium element standard model
At a nominal content of QUThe counting rate of each characteristic spectrum peak corresponding to the uranium-radium element is calculated on a natural gamma radioactive uranium element standard model
At a nominal content of QUThe counting rate of each characteristic spectrum peak corresponding to the potassium element is obtained on the natural gamma radioactive uranium element standard model
4) At a nominal content of QKThe counting rate of each characteristic spectrum peak corresponding to the thorium element is calculated on a natural gamma radioactive potassium element standard model
At a nominal content of QKThe counting rate of each characteristic spectrum peak corresponding to the uranium-radium element is calculated on a natural gamma radioactive potassium element standard model
At a nominal content of QKThe counting rate of each characteristic spectrum peak corresponding to the potassium element is obtained on the natural gamma radioactive potassium element standard model
(3) And (3) solving a natural gamma energy spectrum stripping coefficient based on the characteristic spectrum peak:
1) stripping coefficient of thorium element to each characteristic spectrum peak of thorium element
The stripping coefficients of 1 and uranium-radium elements to each characteristic spectrum peak of the uranium-radium elements
All are 1, the stripping coefficient of potassium element to each characteristic spectrum peak of the element
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 peaks of thorium element by uranium-radium element:
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 stripping coefficient of the i characteristic spectrum peaks of the thorium element by the potassium element is calculated by the natural gamma radioactive potassium element standard model:
4) standard model using natural gamma radioactive backgroundType, nominal content being 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 peaks of the uranium-radium element:
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 peaks of uranium-radium element by potassium element:
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 spectrum peaks of the potassium element:
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 k characteristic spectrum peaks of the uranium-radium element to the potassium element:
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 peak:
can be formulated as:
wherein x and y represent any natural gamma radioactive elements, m represents each characteristic spectrum peak, m ═ i + j + k, and m ∈ y.
The invention has the advantages that: by utilizing a uranium ore quantitative stripping coefficient solving method based on a characteristic spectrum peak of energy spectrum logging, the influence of other natural gamma radioactive elements can be stripped in the analysis process of 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.
Drawings
FIG. 1 is a flowchart of the peel coefficient calculation in example 1 of the present invention;
FIG. 2 is an example of a characteristic spectrum peak dividing method of a natural gamma energy spectrum curve containing thorium, uranium-radium and potassium radioactive elements in example 1 of the present invention;
fig. 3 is a schematic diagram of a process for quantifying radioactive elements of thorium, uranium-radium, and potassium in uranium ore logging in embodiment 1 of the present invention.
In the figure: 1-natural gamma-ray spectrum logging curve, 2-dividing a plurality of characteristic spectrum peaks of thorium, uranium, radium and potassium, 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 peak 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 a natural gamma energy spectrum curve is divided into a plurality of characteristic spectrum peaks corresponding to thorium, uranium-radium and potassium elements, the counting rates of different elements with unit content at a certain characteristic spectrum peak are obtained, and the ratio of the counting rates of the two elements at the characteristic spectrum peak is the stripping coefficient.
The invention relates to a uranium ore quantitative stripping coefficient calculation method based on an energy spectrum logging characteristic spectrum peak, which comprises the following steps:
(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 spectral 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 spectrum peaks:
1) selecting i thorium characteristic spectrum peaks from the gamma ray energy of 400keV at least until the energy of the thorium characteristic spectrum peaks is 2.62MeV,
2) selecting j uranium-radium characteristic spectrum peaks from the energy of gamma ray of 400keV at least until the uranium-radium characteristic spectrum peak with energy of 1.76MeV is included, but the thorium characteristic spectrum peak with energy of 2.62MeV is not included,
3) k characteristic spectrum peaks are selected from the K characteristic spectrum peaks which are from the gamma ray energy of 400keV at least until the K characteristic spectrum peaks with the energy of 1.46MeV are included, but the uranium-radium characteristic spectrum peaks with the energy of 1.76MeV are not included;
(2) calculating the counting rate of each characteristic spectrum peak 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 peak on a natural gamma radioactive background standard model
Counting rate of characteristic spectrum peak of uranium-radium system
Count rate of characteristic spectrum peak of potassium series
2) At nominal contentAmount is QThThe counting rate of each characteristic spectrum peak corresponding to the thorium element is calculated on a natural gamma radioactive thorium element standard model
At a nominal content of QThThe counting rate of each characteristic spectrum peak corresponding to the uranium-radium element is calculated on a natural gamma radioactive thorium element standard model
At a nominal content of QThThe counting rate of each characteristic spectrum peak corresponding to the potassium element is calculated on the natural gamma radioactive thorium element standard model
3) At a nominal content of QUThe counting rate of each characteristic spectrum peak corresponding to the thorium element is calculated on a natural gamma radioactive uranium element standard model
At a nominal content of QUThe counting rate of each characteristic spectrum peak corresponding to the uranium-radium element is calculated on a natural gamma radioactive uranium element standard model
At a nominal content of QUThe counting rate of each characteristic spectrum peak corresponding to the potassium element is obtained on the natural gamma radioactive uranium element standard model
4) At a nominal content of QKThe counting rate of each characteristic spectrum peak corresponding to the thorium element is calculated on a natural gamma radioactive potassium element standard model
At a nominal content of QKThe counting rate of each characteristic spectrum peak corresponding to the uranium-radium element is calculated on a natural gamma radioactive potassium element standard model
At a nominal content of QKThe counting rate of each characteristic spectrum peak corresponding to the potassium element is obtained on the natural gamma radioactive potassium element standard model
(3) And (3) solving a natural gamma energy spectrum stripping coefficient based on the characteristic spectrum peak:
1) stripping coefficient of thorium element to each characteristic spectrum peak of thorium element
The stripping coefficients of 1 and uranium-radium elements to each characteristic spectrum peak of the uranium-radium elements
All are 1, the stripping coefficient of potassium element to each characteristic spectrum peak of the element
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 peaks of thorium element by uranium-radium element:
3) using a natural gamma radioactive background standard model with a nominal content of QThStandard model of natural gamma-ray thorium element andnominal content of QKThe stripping coefficient of the i characteristic spectrum peaks of the thorium element by the potassium element is calculated by the natural gamma radioactive potassium element standard model:
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 peaks of the uranium-radium element:
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 peaks of uranium-radium element by potassium element:
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 spectrum peaks of the potassium element:
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 k characteristic spectrum peaks of the uranium-radium element to the potassium element:
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 peak:
can be formulated as:
wherein x and y represent any natural gamma radioactive element, x/y represents element x to element y, m represents each characteristic spectrum peak, m ═ i + j + k, and m ∈ y.
(4) And (3) solving a natural gamma energy spectrum conversion coefficient based on the characteristic spectrum peak:
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 each characteristic spectrum peak corresponding to the thorium element:
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 peak:
3) using a natural gamma radioactive background standard model and a nominal content of QKThe standard model of natural gamma radioactive potassium element is used for solving the conversion coefficient of potassium element corresponding to each characteristic spectrum peak:
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 peak:
can be formulated as:
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 peak, and m belongs to i + j + k and m belongs to y.
(5) The content q of the radioactive element is obtained according to the following formulax：
Can be formulated as:
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 peak, m is i + j + k, and m belongs to y.
If i, j and k are all 1, a characteristic spectrum peak is selected for thorium element, uranium-radium element and potassium element, natural gamma-ray spectrum logging is completed by the process shown in fig. 3 of the embodiment 1, the radioactive element content of thorium, uranium-radium and potassium is obtained, and the results of measurement and interpretation on a standard hard rock model well of a nuclear industry radioactive exploration metering station (Shibata) are shown in table 2. Comparing the data in table 2 shows that: by utilizing a uranium ore quantitative stripping coefficient solving method based on a characteristic spectrum peak of energy spectrum logging, the influence of other natural gamma radioactive elements can be stripped in the analysis process of 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.
TABLE 1 Gamma-nuclide data sheet for Natural radioactive decay (only characteristic Gamma-rays with high radiation probability and energy are listed)
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.
Table 2 measurement of interpretation results on standard model of natural gamma-radioactive uranium element
Note 1: the radium content is expressed as the uranium content at equilibrium;
note 2: the content of potassium (K) is meant to include40The content of all potassium elements including K;
note 3: the content of the auxiliary elements close to the background value is not explained.
Claims (1)
1. A uranium ore quantitative stripping coefficient solving method based on an energy spectrum logging characteristic spectrum peak 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 spectrum peaks:
1) selecting i thorium characteristic spectrum peaks from the gamma ray energy of 400keV at least until the energy of the thorium characteristic spectrum peaks is 2.62MeV,
2) selecting j uranium-radium characteristic spectrum peaks from the energy of gamma ray of 400keV at least until the uranium-radium characteristic spectrum peak with energy of 1.76MeV is included, but the thorium characteristic spectrum peak with energy of 2.62MeV is not included,
3) k characteristic spectrum peaks are selected from the K characteristic spectrum peaks which are from the gamma ray energy of 400keV at least until the K characteristic spectrum peaks with the energy of 1.46MeV are included, but the uranium-radium characteristic spectrum peaks with the energy of 1.76MeV are not included;
(2) calculating the counting rate of each characteristic spectrum peak 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 peak on a natural gamma radioactive background standard model
Counting rate of characteristic spectrum peak of uranium-radium system
Count rate of characteristic spectrum peak of potassium series
2) At a nominal content of QThThe counting rate of each characteristic spectrum peak corresponding to the thorium element is calculated on a natural gamma radioactive thorium element standard model
At a nominal content of QThThe counting rate of each characteristic spectrum peak corresponding to the uranium-radium element is calculated on a natural gamma radioactive thorium element standard model
At a nominal content of QThThe standard model of natural gamma radioactive thorium element is used for solving each element corresponding to the potassium elementCount rate of characteristic spectral peaks
3) At a nominal content of QUThe counting rate of each characteristic spectrum peak corresponding to the thorium element is calculated on a natural gamma radioactive uranium element standard model
At a nominal content of QUThe counting rate of each characteristic spectrum peak corresponding to the uranium-radium element is calculated on a natural gamma radioactive uranium element standard model
At a nominal content of QUThe counting rate of each characteristic spectrum peak corresponding to the potassium element is obtained on the natural gamma radioactive uranium element standard model
4) At a nominal content of QKThe counting rate of each characteristic spectrum peak corresponding to the thorium element is calculated on a natural gamma radioactive potassium element standard model
At a nominal content of QKThe counting rate of each characteristic spectrum peak corresponding to the uranium-radium element is calculated on a natural gamma radioactive potassium element standard model
At a nominal content of QKThe counting rate of each characteristic spectrum peak corresponding to the potassium element is obtained on the natural gamma radioactive potassium element standard model
(3) And (3) solving a natural gamma energy spectrum stripping coefficient based on the characteristic spectrum peak:
1) stripping coefficient of thorium element to each characteristic spectrum peak of thorium element
The stripping coefficients of 1 and uranium-radium elements to each characteristic spectrum peak of the uranium-radium elements
All are 1, the stripping coefficient of potassium element to each characteristic spectrum peak of the element
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 peaks of thorium element by uranium-radium element:
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 stripping coefficient of the i characteristic spectrum peaks of the thorium element by the potassium element is calculated by the natural gamma radioactive potassium element standard model:
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 peaks of the uranium-radium element:
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 peaks of uranium-radium element by potassium element:
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 spectrum peaks of the potassium element:
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 k characteristic spectrum peaks of the uranium-radium element to the potassium element:
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 peak:
can be formulated as:
wherein x and y represent any natural gamma radioactive element, x/y represents element x to element y, m represents each characteristic spectrum peak, m ═ i + j + k, and m ∈ y.
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