CN112630848B - Uranium ore quantitative stripping coefficient calculation method based on energy spectrum logging characteristic spectrum - Google Patents

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

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CN112630848B
CN112630848B CN202011328037.9A CN202011328037A CN112630848B CN 112630848 B CN112630848 B CN 112630848B CN 202011328037 A CN202011328037 A CN 202011328037A CN 112630848 B CN112630848 B CN 112630848B
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thorium
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CN112630848A (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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    • G01V5/06Prospecting 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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Abstract

The invention discloses a uranium ore quantitative stripping coefficient solving method based on an energy spectrum logging characteristic spectrum band. The stripping coefficient may be expressed as a coefficient that strips off the count rate generated by other elements of a unit content in a certain characteristic spectrum. The invention relates to a uranium ore quantitative stripping coefficient solving method based on an energy spectrum logging characteristic spectrum section, which takes characteristic peaks corresponding to thorium, uranium-radium and potassium elements in a natural gamma energy spectrum curve as objects, divides the natural gamma energy spectrum curve into a plurality of characteristic spectrum sections, and solves the counting rate of different elements with unit content in a certain characteristic spectrum section, wherein 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 can ensure the content analysis precision of three natural gamma radioactive elements of thorium, uranium-radium and potassium and realize relatively rapid natural gamma energy spectrum logging.

Description

Uranium ore quantitative stripping coefficient calculation method based on energy spectrum logging characteristic spectrum
Technical Field
The invention belongs to the field of nuclear radiation detection, and can realize radioactive element quantification in uranium ore exploration industry through rapid natural gamma energy spectrum logging, and is particularly suitable for uranium-thorium mixed mineral products or uranium-thorium-potassium mixed mineral products.
Background
Natural gamma logging is a common well drilling geophysical method and is also the basic method of uranium exploration. It is prepared through detecting natural decay system (uranium, thorium, actinium, etc.) and potassium 40 K) The total gamma ray or energy spectrum count rate (which are proportional to decay rate) of the formation rock, thereby deducing the content of uranium, thorium or potassium element characterized by the starting nuclide. The natural gamma logging is to place a gamma total logging instrument or a gamma energy spectrum logging instrument into a borehole, measure the natural gamma-ray rate of the borehole wall rock ore, and determine the position and thickness of the radioactive stratum penetrated by the borehole and the content of radioactive elements (uranium, thorium and potassium) according to the gamma-ray rate curve along the well depth. At present, gamma logging has become a main method for reserve calculation in exploration of uranium ore deposits and uranium-thorium mixed ore deposits, and especially gamma logging based on quantitative radioactive elements is important when the core sampling rate in drilling is not high. The Chinese gamma logging specification only requires a natural gamma total logging method with mature technology, and the natural gamma total logging method is used as a main basis for quantifying uranium in stratum rock.
The proportion relation of the atomic numbers of the nuclides in the uranium series and the thorium series in the nature is determined under the radioactive balance state, so that the relative intensities of gamma rays with different energies are also determined, and the energies of the gamma rays with the characteristic nuclides of a certain nuclide can be selected from the two series to identify the uranium and the thorium. The energy of gamma rays emitted by characteristic nuclides, e.g. in uranium, in natural gamma-spectroscopy 214 Bi emitted 1.76MeVGamma rays to identify uranium, optionally in the thorium series 208 Tl emits 2.62MeV gamma rays to identify thorium and 1.46MeV gamma rays to identify potassium. If the gamma rays are respectively counted according to the selected characteristic energy, the spectrum measurement is realized. The energy of gamma rays emitted by the particles is plotted in a coordinate system, the abscissa represents the energy of the gamma rays, the ordinate represents the intensity of gamma rays corresponding to the energy, and a graph of the energy and the intensity of the gamma rays is obtained, and the graph is called an energy spectrogram or an energy spectrum graph of natural gamma rays. The measured natural gamma energy spectrum is converted into uranium, thorium and potassium contents of the stratum and is output in the form of a continuous logging curve, namely natural gamma energy spectrum logging.
Compared with the natural gamma total logging, the natural gamma energy spectrum logging can not only realize the total logging function, but also acquire 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 study various geological problems related to radioactive element distribution.
Compared with the natural gamma total logging, the natural gamma energy spectrum logging has low relative count rate (uranium, thorium and potassium count rate) and large radioactive statistical fluctuation error, and in order to improve the curve quality, the volume of a gamma ray detector (crystal) must be increased, and the speed measurement is reduced, which often conflicts with the actual production requirement. And the quality of uranium, thorium and potassium curves is different due to different contents of uranium, thorium and potassium in the stratum. The quality of the natural gamma-ray spectroscopy log depends not only on the performance and skill level of the tool itself, but also on the logging environment (borehole and formation), the speed measurement, sampling interval, etc.
At present, a new rapid natural gamma energy spectrum logging method in the uranium mine field is urgently needed to be researched, and the rapid natural gamma energy spectrum logging can be realized while the measurement accuracy is ensured, so that the production application requirements are met. The natural gamma energy spectrum logging method based on the characteristic spectrum segment method is expected to solve the problem, and the uranium ore quantitative scale coefficient solving method based on the energy spectrum logging characteristic spectrum segment is a key for realizing the rapid natural gamma energy spectrum logging method. So far, no report has been seen that the method is directly applied to natural energy spectrum logging of uranium ores.
Disclosure of Invention
The invention aims to solve the problem that radioactive elements are quantified through rapid natural gamma energy spectrum logging in the uranium mining industry, and provides a uranium ore quantitative stripping coefficient solving method based on an energy spectrum logging characteristic spectrum.
The invention aims at realizing the following technical scheme:
(1) According to the positions of characteristic peaks of different radioactive elements, dividing a natural gamma energy spectrum curve into a plurality of characteristic spectrum segments:
1) The thorium characteristic spectrum section is from the gamma ray energy of 400keV, at least until the thorium characteristic peak with the energy of 2.62MeV is included, i thorium characteristic peaks are selected, i thorium characteristic spectrum sections are formed by taking the characteristic peaks as the standard or properly widening the energy range of the characteristic peaks,
2) The uranium-radium characteristic spectrum section at least comprises uranium-radium characteristic peaks with energy of 1.76MeV but does not comprise thorium characteristic peaks with energy of 2.62MeV from gamma ray energy of 400keV, j uranium-radium characteristic peaks are selected, j uranium-radium characteristic spectrum sections are formed by taking the characteristic peaks as references or properly widening the energy range of the characteristic peaks,
3) The potassium characteristic spectrum section at least comprises potassium characteristic peaks with energy of 1.46MeV from gamma rays with energy of 400keV, but does not comprise uranium-radium characteristic peaks with energy of 1.76MeV, k potassium characteristic peaks are selected, and k potassium characteristic spectrum sections are formed by taking the characteristic peaks as references or properly widening the energy range of the characteristic peaks;
(2) Calculating the counting rate of each characteristic spectrum segment of the thorium system, the uranium-radium system and the potassium system on a natural gamma radioactivity standard model:
1) Obtaining the counting rate of characteristic spectrum of thorium system on natural gamma radioactivity background standard modelCount rate of uranium-radium series characteristic spectrum segment +.>Count rate of characteristic spectrum of potassium series +.>
2) At nominal content of Q Th Obtaining the count rate of each characteristic spectrum segment corresponding to thorium element on a natural gamma radioactive thorium element standard model
At nominal content of Q Th Obtaining the count rate of each characteristic spectrum segment corresponding to uranium-radium element on a natural gamma radioactive thorium element standard model
At nominal content of Q Th Obtaining the counting rate of each characteristic spectrum segment corresponding to the potassium element on a natural gamma radioactive thorium element standard model
3) At nominal content of Q U Obtaining the counting rate of each characteristic spectrum segment corresponding to thorium element on a natural gamma radioactive uranium element standard model
At nominal content of Q U Obtaining the count rate of each characteristic spectrum segment corresponding to uranium-radium element on a natural gamma radioactive uranium element standard model
At nominal content of Q U Obtaining the count rate of each characteristic spectrum segment corresponding to the potassium element on the natural gamma radioactive uranium element standard model
4) At nominal content of Q K Obtaining the counting rate of each characteristic spectrum segment corresponding to thorium element on a natural gamma radioactive potassium element standard model
At nominal content of Q K Obtaining the count rate of each characteristic spectrum segment corresponding to uranium-radium element on a natural gamma radioactive potassium element standard model
At nominal content of Q K Obtaining the counting rate of each characteristic spectrum segment corresponding to the potassium element on the natural gamma radioactive potassium element standard model
(3) Obtaining natural gamma energy spectrum stripping coefficients based on characteristic spectrum segments:
1) Stripping coefficient of thorium element to each characteristic spectrum of the elementThe stripping coefficient of uranium-radium elements to each characteristic spectrum of the uranium-radium elements is 1 +.>The stripping coefficient of the potassium element to each characteristic spectrum of the self is 1 +.>Are all 1;
2) Using natural gamma radioactivity background standard model, and nominal content is Q Th Standard model of natural gamma radioactive thorium element and nominal content of Q U The stripping coefficients of uranium-radium elements to i characteristic spectrum segments of thorium elements are calculated according to a natural gamma radioactive uranium element standard model:
3) Using natural gamma radioactivity background standard model, and nominal content is Q Th Standard model of natural gamma radioactive thorium element and nominal content of Q K The standard model of the natural gamma radioactive potassium element is used for solving the stripping coefficient of the potassium element to the i characteristic spectrum segments of the thorium element:
4) Using natural gamma radioactivity background standard model, and nominal content is Q U Standard model of natural gamma radioactive uranium element and nominal content of Q Th According to the natural gamma radioactive thorium element standard model, the stripping coefficient of the thorium element to j characteristic spectrum segments of uranium-radium element is calculated:
5) Using natural gamma radioactivity background standard model, and nominal content is Q U Is characterized by that its natural gamma radioactive uranium-radium element standard model and nominal content is Q K The standard model of the natural gamma radioactive potassium element is used for solving the stripping coefficient of the potassium element to j characteristic spectrum segments of uranium-radium elements:
6) Using natural gamma radioactivity background standard model, and nominal content is Q K Standard model of natural gamma radioactive potassium element and nominal content of Q Th The standard model of the natural gamma radioactive thorium element is used for solving the stripping coefficient of the thorium element to k characteristic spectrum segments of the potassium element:
7) Using natural gamma radioactivity background standard model, and nominal content is Q K Standard model of natural gamma radioactive potassium element and nominal content of Q U Natural gamma radioactive uranium-radium element standard model,obtaining stripping coefficients of uranium-radium elements on k characteristic spectrum segments of potassium elements:
8) Synthesizing the steps 1) -7), obtaining a natural gamma energy spectrum stripping coefficient based on the characteristic spectrum:
the formula can be expressed as:
wherein x and y represent arbitrary natural gamma radioactive elements, x/y represents an element x versus an element y, m represents each characteristic spectrum segment, m=i+j+k, and m e y.
The invention has the advantages that: by using a natural gamma energy spectrum logging stripping coefficient solving method based on a characteristic spectrum segment method, the influence of other natural gamma radioactive elements can be stripped in the process of analyzing the content of certain radioactive elements, and the accurate quantification of radioactive elements such as thorium, uranium-radium, potassium and the like can be realized; meanwhile, by adopting a characteristic spectrum segment method, the measurement counting 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 speed of natural gamma energy spectrum measurement can be further improved. If the method is applied to the natural gamma-ray logging process of uranium ores, the method can ensure the measurement accuracy and simultaneously realize the relatively rapid natural gamma-ray energy spectrum logging, thereby meeting the production and application requirements.
Drawings
FIG. 1 is a flowchart showing the determination of the peeling coefficient according to embodiment 1 of the present invention;
FIG. 2 is a graph of a characteristic spectrum segment of a natural gamma spectrum curve containing radioactive elements of thorium, uranium-radium and potassium according to example 1 of the present invention;
FIG. 3 is an example 2 of a method for dividing a characteristic spectrum segment of a natural gamma energy spectrum curve containing radioactive elements of thorium, uranium-radium and potassium in example 1 of the present invention;
FIG. 4 is a schematic diagram of the quantitative process of radioactive elements of thorium, uranium-radium and potassium in uranium ore log according to example 1 of the present invention;
FIG. 5 is a graph showing comparison of uranium-radium content interpretation results at different logging speeds in the same borehole in example 1 of the present invention.
FIG. 6 is a graph showing comparison of uranium-radium content interpretation results when natural gamma total logging and natural gamma spectroscopy logging were performed in a model well having a uranium content of 800ppm in example 1 of the present invention.
In the figure: 1-a natural gamma energy spectrum logging curve, 2-dividing a characteristic spectrum section according to characteristic peaks, 3-selecting a background model and thorium, uranium and potassium models with known contents, 4-natural gamma energy 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 drawings and the detailed description.
The basic idea of the invention is to divide the natural gamma energy spectrum curve into a plurality of characteristic spectrum segments by taking the characteristic peaks corresponding to thorium, uranium-radium and potassium elements in the natural gamma energy spectrum curve as objects, and calculate the count rate of different elements with unit content in a certain characteristic spectrum segment, wherein the ratio of the count rates of the two elements in the characteristic spectrum segment is the stripping coefficient.
The invention relates to a uranium ore quantitative stripping coefficient solving method based on an energy spectrum logging characteristic spectrum, which comprises the following steps:
(1) Thorium, uranium-radium, and potassium contain few gamma nuclides, however they emit characteristic gamma rays of hundreds of energies. The characteristic gamma rays with larger radiation probability and higher energy and the corresponding gamma nuclides are shown in table 1. The existing natural gamma-ray spectroscopy well logging can only distinguish tens of characteristic gamma rays with less probability of being radiated >0.01 and energy of being >0.4MeV and without overlapping peaks. These characteristic gamma rays are referred to as characteristic peaks on the energy spectrum curve, as shown in fig. 2. According to the positions of characteristic peaks of different radioactive elements, dividing a natural gamma energy spectrum curve into a plurality of characteristic spectrum segments:
1) The thorium characteristic spectrum section is from the gamma ray energy of 400keV, at least until the thorium characteristic peak with the energy of 2.62MeV is included, i thorium characteristic peaks are selected, i thorium characteristic spectrum sections are formed by taking the characteristic peaks as the standard or properly widening the energy range of the characteristic peaks,
2) The uranium-radium characteristic spectrum section at least comprises uranium-radium characteristic peaks with energy of 1.76MeV but does not comprise thorium characteristic peaks with energy of 2.62MeV from gamma ray energy of 400keV, j uranium-radium characteristic peaks are selected, j uranium-radium characteristic spectrum sections are formed by taking the characteristic peaks as references or properly widening the energy range of the characteristic peaks,
3) The potassium characteristic spectrum section at least comprises potassium characteristic peaks with energy of 1.46MeV from gamma rays with energy of 400keV, but does not comprise uranium-radium characteristic peaks with energy of 1.76MeV, k potassium characteristic peaks are selected, and k potassium characteristic spectrum sections are formed by taking the characteristic peaks as references or properly widening the energy range of the characteristic peaks;
(2) Calculating the counting rate of each characteristic spectrum segment of the thorium system, the uranium-radium system and the potassium system on a natural gamma radioactivity standard model:
1) Obtaining the counting rate of characteristic spectrum of thorium system on natural gamma radioactivity background standard modelCount rate of uranium-radium series characteristic spectrum segment +.>Count rate of characteristic spectrum of potassium series +.>
2) At nominal content of Q Th Obtaining the count rate of each characteristic spectrum segment corresponding to thorium element on a natural gamma radioactive thorium element standard model
At nominal content of Q Th Obtaining the count rate of each characteristic spectrum segment corresponding to uranium-radium element on a natural gamma radioactive thorium element standard model
At nominal content of Q Th Obtaining the counting rate of each characteristic spectrum segment corresponding to the potassium element on a natural gamma radioactive thorium element standard model
3) At nominal content of Q U Obtaining the counting rate of each characteristic spectrum segment corresponding to thorium element on a natural gamma radioactive uranium element standard model
At nominal content of Q U Obtaining the count rate of each characteristic spectrum segment corresponding to uranium-radium element on a natural gamma radioactive uranium element standard model
At nominal content of Q U Obtaining the count rate of each characteristic spectrum segment corresponding to the potassium element on the natural gamma radioactive uranium element standard model
4) At nominal content of Q K Obtaining the counting rate of each characteristic spectrum segment corresponding to thorium element on a natural gamma radioactive potassium element standard model
At nominal content of Q K Obtaining the count rate of each characteristic spectrum segment corresponding to uranium-radium element on a natural gamma radioactive potassium element standard model
At nominal content of Q K Obtaining the counting rate of each characteristic spectrum segment corresponding to the potassium element on the natural gamma radioactive potassium element standard model
(3) Obtaining natural gamma energy spectrum stripping coefficients based on characteristic spectrum segments:
1) Stripping coefficient of thorium element to each characteristic spectrum of the elementThe stripping coefficient of uranium-radium elements to each characteristic spectrum of the uranium-radium elements is 1 +.>The stripping coefficient of the potassium element to each characteristic spectrum of the self is 1 +.>Are all 1;
2) Using natural gamma radioactivity background standard model, and nominal content is Q Th Standard model of natural gamma radioactive thorium element and nominal content of Q U The stripping coefficients of uranium-radium elements to i characteristic spectrum segments of thorium elements are calculated according to a natural gamma radioactive uranium element standard model:
3) Using natural gamma radioactivity background standard model, and nominal content is Q Th Standard model of natural gamma radioactive thorium element and nominal content of Q K The standard model of the natural gamma radioactive potassium element is used for solving the stripping coefficient of the potassium element to the i characteristic spectrum segments of the thorium element:
4) Using natural gamma radioactivity background standard model, and nominal content is Q U Standard model of natural gamma radioactive uranium element and nominal content of Q Th According to the natural gamma radioactive thorium element standard model, the stripping coefficient of the thorium element to j characteristic spectrum segments of uranium-radium element is calculated:
5) Using natural gamma radioactivity background standard model, and nominal content is Q U Is characterized by that its natural gamma radioactive uranium-radium element standard model and nominal content is Q K The standard model of the natural gamma radioactive potassium element is used for solving the stripping coefficient of the potassium element to j characteristic spectrum segments of uranium-radium elements:
6) Using natural gamma radioactivity background standard model, and nominal content is Q K Standard model of natural gamma radioactive potassium element and nominal content of Q Th The standard model of the natural gamma radioactive thorium element is used for solving the stripping coefficient of the thorium element to k characteristic spectrum segments of the potassium element:
7) Using natural gamma radioactivity background standard model, and nominal content is Q K Standard model of natural gamma radioactive potassium element and nominal content of Q U According to the natural gamma radioactive uranium-radium element standard model, the stripping coefficients of the uranium-radium element to k characteristic spectrum segments of potassium element are calculated:
8) Combining the steps 1) -7 in the step (3), and obtaining a natural gamma energy spectrum stripping coefficient based on the characteristic spectrum:
the formula can be expressed as:
wherein x and y represent arbitrary natural gamma radioactive elements, x/y represents an element x versus an element y, m represents each characteristic spectrum segment, m=i+j+k, and m e y.
(4) Calculating natural gamma energy spectrum conversion coefficients based on characteristic spectrum segments:
1) Using natural gamma radioactivity background standard model and nominal content as Q Th The standard model of the natural gamma radioactive thorium element is used for solving the conversion coefficient of each characteristic spectrum section corresponding to the thorium element:
2) Using natural gamma radioactivity background standard model and nominal content as Q U According to the natural gamma radioactive uranium-radium element standard model, the conversion coefficient of each characteristic spectrum segment corresponding to the uranium-radium element is calculated:
3) Using natural gamma radioactivity background standard model and nominal content as Q K The standard model of the natural gamma radioactive potassium element is used for solving the conversion coefficient of the potassium element corresponding to each characteristic spectrum segment:
synthesizing the steps 1) -3 in the step (4), and obtaining a natural gamma energy spectrum conversion coefficient based on the characteristic spectrum:
the formula can be expressed as:
wherein y represents any natural gamma radioactive element, Q y Represents the nominal content of the radioactive standard model element y, m represents each characteristic spectrum segment, m=i+j+k, and m e y.
(5) The radioactive element content q is determined according to the following formula x
The formula can be expressed as:
wherein x and y represent any natural gamma radioactive elements (thorium, uranium-radium and potassium respectively), x/y represents an element x versus an element y, m represents each characteristic spectrum segment, and m=i+j+k, and m e y.
If i, j and k are all 1, the thorium element, the uranium-radium element and the potassium element are all selected to be in a characteristic spectrum, natural gamma spectrum well logging is completed by the process shown in the figure 4 of the embodiment 1, the radioactive element content of thorium, uranium-radium and potassium is obtained, and the explanation content comparison of the uranium-radium radioactive elements under the condition of different logging speeds in the same well hole is obtained, wherein the effect is shown in figure 5. And the total well logging interpretation result and the radioactive element content comparison of thorium, uranium-radium and potassium in the spectrum well logging interpretation result are obtained by respectively carrying out natural gamma total well logging and natural gamma spectrum well logging based on a characteristic spectrum method in the model well, and the effect is shown in figure 6. From the comparison effect of fig. 5 and 6, it can be seen that by using the uranium ore quantitative stripping coefficient calculation method based on the spectrum logging characteristic spectrum, when the natural gamma spectrum logging speed reaches 4m/min, the accurate quantification of radioactive elements such as thorium, uranium-radium, potassium and the like can still be realized, and the production application requirements are satisfied.
TABLE 1 gamma nuclide data table for natural radioactive decay (listing only characteristic gamma rays with high probability and energy)
Note that: only data for characteristic gamma rays emitted by thorium, uranium-radium and potassium with a radioprobability >0.001 (referring to the radioprobability of a single radioactive decay), energy >0.4MeV and their gamma nuclides are listed.

Claims (1)

1. The uranium ore quantitative stripping coefficient solving method based on the characteristic spectrum section of the energy spectrum logging comprises the following steps:
(1) According to the positions of characteristic peaks of different radioactive elements, dividing a natural gamma energy spectrum curve into a plurality of characteristic spectrum segments:
1) The thorium characteristic spectrum section at least comprises thorium characteristic peaks with energy of 2.62MeV from 400keV of gamma ray, i thorium characteristic peaks are selected, i thorium characteristic spectrum sections are formed by taking the characteristic peaks as reference or properly widening the energy range of the characteristic peaks,
2) The uranium-radium characteristic spectrum section at least comprises uranium-radium characteristic peaks with energy of 1.76MeV from gamma ray energy of 400keV, but does not comprise thorium characteristic peaks with energy of 2.62MeV, j uranium-radium characteristic peaks are selected, j uranium-radium characteristic spectrum sections are formed by taking the characteristic peaks as references or properly widening the energy range of the characteristic peaks,
3) The potassium characteristic spectrum section at least comprises potassium characteristic peaks with energy of 1.46MeV from gamma rays with energy of 400keV, but does not comprise uranium-radium characteristic peaks with energy of 1.76MeV, k potassium characteristic peaks are selected, and k potassium characteristic spectrum sections are formed by taking the characteristic peaks as references or properly widening the energy range of the characteristic peaks;
(2) Calculating the counting rate of each characteristic spectrum segment of the thorium system, the uranium-radium system and the potassium system on a natural gamma radioactivity standard model:
1) Obtaining the counting rate of characteristic spectrum of thorium system on natural gamma radioactivity background standard modelCount rate of uranium-radium series characteristic spectrum segment +.>Count rate of characteristic spectrum of potassium series +.>
2) At nominal content of Q Th Obtaining the count rate of each characteristic spectrum segment corresponding to thorium element on a natural gamma radioactive thorium element standard model
At nominal content of Q Th Obtaining the count rate of each characteristic spectrum segment corresponding to uranium-radium element on a natural gamma radioactive thorium element standard model
At nominal content of Q Th Obtaining the counting rate of each characteristic spectrum segment corresponding to the potassium element on a natural gamma radioactive thorium element standard model
3) At nominal content of Q U Obtaining the counting rate of each characteristic spectrum segment corresponding to thorium element on a natural gamma radioactive uranium element standard model
At nominal content of Q U Obtaining the count rate of each characteristic spectrum segment corresponding to uranium-radium element on a natural gamma radioactive uranium element standard model
At nominal content of Q U Natural gamma-radioactive uranium element of (a)Obtaining the counting rate of each characteristic spectrum segment corresponding to the potassium element on a prime standard model
4) At nominal content of Q K Obtaining the counting rate of each characteristic spectrum segment corresponding to thorium element on a natural gamma radioactive potassium element standard model
At nominal content of Q K Obtaining the count rate of each characteristic spectrum segment corresponding to uranium-radium element on a natural gamma radioactive potassium element standard model
At nominal content of Q K Obtaining the counting rate of each characteristic spectrum segment corresponding to the potassium element on the natural gamma radioactive potassium element standard model
(3) Obtaining natural gamma energy spectrum stripping coefficients based on characteristic spectrum segments:
1) Stripping coefficient of thorium element to each characteristic spectrum of the elementThe stripping coefficient of uranium-radium elements to each characteristic spectrum of the uranium-radium elements is 1 +.>The stripping coefficient of the potassium element to each characteristic spectrum of the self is 1 +.>Are all 1;
2) Using natural gamma radioactivity background standard model, and nominal content is Q Th Standard model of natural gamma radioactive thorium element and nominal content of Q U Natural gamma radioactivity of (c)And (3) solving the stripping coefficient of uranium-radium elements to i characteristic spectrum segments of thorium elements by using a uranium element standard model:
3) Using natural gamma radioactivity background standard model, and nominal content is Q Th Standard model of natural gamma radioactive thorium element and nominal content of Q K The standard model of the natural gamma radioactive potassium element is used for solving the stripping coefficient of the potassium element to the i characteristic spectrum segments of the thorium element:
4) Using natural gamma radioactivity background standard model, and nominal content is Q U Standard model of natural gamma radioactive uranium element and nominal content of Q Th According to the natural gamma radioactive thorium element standard model, the stripping coefficient of the thorium element to j characteristic spectrum segments of uranium-radium element is calculated:
5) Using natural gamma radioactivity background standard model, and nominal content is Q U Is characterized by that its natural gamma radioactive uranium-radium element standard model and nominal content is Q K The standard model of the natural gamma radioactive potassium element is used for solving the stripping coefficient of the potassium element to j characteristic spectrum segments of uranium-radium elements:
6) Using natural gamma radioactivity background standard model, and nominal content is Q K Standard model of natural gamma radioactive potassium element and nominal content of Q Th The standard model of the natural gamma radioactive thorium element is used for solving the stripping coefficient of the thorium element to k characteristic spectrum segments of the potassium element:
7) Using natural gamma-radioactivity background standard model and nominal contentIs Q K Standard model of natural gamma radioactive potassium element and nominal content of Q U According to the natural gamma radioactive uranium-radium element standard model, the stripping coefficients of the uranium-radium element to k characteristic spectrum segments of potassium element are calculated:
8) Combining the steps 1) -7 in the step (3), and obtaining a natural gamma energy spectrum stripping coefficient based on the characteristic spectrum:
expressed by the formula:
wherein x and y represent arbitrary natural gamma radioactive elements, x/y represents an element x versus an element y, m represents each characteristic spectrum segment, m=i+j+k, and m e y.
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