Application of nonlinear ultrasonic methods for determining the characteristics of iron ore raw materials

V. Morkun; N. Morkun; A. Gaponenko; Ye. Bobrov

Application of nonlinear ultrasonic methods for determining the characteristics of iron ore raw materials

V. Morkun N. Morkun A. Gaponenko Ye. Bobrov

Received 15.01.2023, Revised 20.03.2023, Accepted 25.04.2023

Abstract

Purpose. To substantiate the application and modelling of ultrasonic measurements to determine the nonlinear characteristics of rock. Research methods. Methods of analysis of national and foreign experience, methods of mathematical and simulation modelling, as well as methods of fast Fourier transform to analyse the results of ultrasonic measurements were used in the work. Scientific novelty. The theoretical justification and modelling of methods of nonlinear ultrasonic measurements for assessing the characteristics of heterogeneous media. Practical meaning. The exploration of nonlinear ultrasonic measurement methods for determining the structural and textural characteristics of rock. Results. The interaction of an acoustic signal with a substance is called "linear" if the response of the material and the strength of the output signal vary linearly with the strength of the input signal, as in Hooke's law. Most of the known acoustic phenomena are associated with linear-elastic material characteristics. However, a number of new "nonlinear effects" appear in materials with some specific properties, such as distortion of the acoustic waveform due to amplitude-dependent wave propagation velocity, generation of higher harmonics, formation of total and difference frequencies for several input signals, acoustic overflow, self-focusing, etc. Rock, in particular iron ore, is a heterogeneous medium, which has specific structural and textural features and includes phase inhomogeneities such as cracks and pores. The method of estimation of phase inhomogeneity of rock based on determination of reflection function of nonlinear dependence of acoustic signal propagation in it is proposed. It includes formation of ultrasonic sinusoidal pulses of fixed frequency but different amplitude, their emission into the investigated medium, spectral analysis and calculation of reflection function of nonlinear dependence taking into account the difference of envelopes of received pulses of different amplitude, their harmonic and total distortion, which allows to determine the level of additional distortion

Keywords:

ultrasound; measurements; nonlinearity; modelling; pulse envelope; distortion

Retrieved from Vol. 57, No. 1, 2023

Pages 144–151

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Morkun, V., Morkun, N., Gaponenko, A., & Bobrov, Ye. (2023). Application of nonlinear ultrasonic methods for determining the characteristics of iron ore raw materials. Mining Journal of Kryvyi Rih National University, 57(1), 144-151.