Abstract

The paper reports results of mathematical modeling of the intensity of absorbed gamma radiation for determining the iron content in IOR. It was shown that to enhance the accuracy of rapid control of the iron content in IOR, it is advisable to use absorbed gamma radiation. This approach is the improvement of the nuclear-physical method for determining the iron content in IOR. Reflected gamma radiation is used in the existing nuclear-physical methods for determining the iron content in IOR. The gamma-gamma method, the feature of which is the use of soft gamma radiation, is used in this method. This leads to the fact that the irradiated surface reflects only a small part of the original flux of gamma radiation. As a result, measuring the intensity of the scattered gamma radiation is characterized by substantial relative errors and, consequently, low-precision of rapid control of iron content in IOR. The use of absorbed gamma radiation as the main part of gamma radiation, makes it possible to significantly reduce the relative error of measurement of the intensity of gamma radiation, that is, to enhance the accuracy of rapid control of the iron content in IOR. The work considered the method of geometry for measuring the intensity of gamma radiation as the most common. This method makes it possible to take into consideration in the mathematical model the dependence of the intensity of absorbed gamma radiation not only on the properties of irradiated surface of rock mass, but also on the geometric parameters in measurement. The main feature of the model is the use of albedo parameter, which allows linking the scattered and absorbed gamma radiation. Representation of the synthesized model in the dimensionless form enabled both simplification of calculations, and generalization of the results of mathematical modeling of the intensity of absorbed gamma radiation. In order to compare the values of intensities of reflected and absorbed gamma-radiation in terms of central geometry, the appropriate numerical calculations were performed. The results of the conducted calculations proved the effectiveness of using absorbed gamma radiation to determine the iron content in IOR. Thus, in the range of 50‒60 percent of the iron content, the sensitivity of absorbed gamma-radiation is considerably higher (by two times) than sensitivity of scattered gamma radiation.

Highlights

  • The modern requirements to the quality of the mined iron ore raw material (IOR) indicate the need for accurate, and rapid determining the content of iron

  • Gamma radiation reflected from IOR that is used in measurement carries little information

  • We have constructed a mathematical model for calculating the intensity of absorbed gamma radiation for rapid control of iron content in iron ore, the specific feature of which is the application of central geometry when designing the devices to measure the content of iron in IOR

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Summary

Introduction

The modern requirements to the quality of the mined iron ore raw material (IOR) indicate the need for accurate, and rapid determining the content of iron. One of the possible ways to overcome these difficulties is to use the result of the interaction of gamma-radiation with the IOR as a source of information about the content of iron. Gamma radiation reflected from IOR that is used in measurement carries little information This is due primarily to low intensity of the reflected flux, and, most importantly, using this flux, it is possible to estimate iron content only in the surface layer of IOR. That is why it seems appropriate for the measurement of iron content in the IOR to use absorbed gamma radiation, which considerably exceeds reflected gamma radiation and makes it possible to estimate iron content inside the IOR

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