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Mathematical model of the envelope of vibroacoustic sounding of heterogeneous rock massif

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Category: Geotechnical and mining mechanical engineering, machine building

Last Updated on 19 March 2014

Published on 26 February 2013

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Authors:

A.N. Shashenko, Dr. Sci. (Tech.), Professor, State Higher Educational Institution “National Mining University”, Head of the Department of Construction and Geomechanics, Vice-Rector for International Relations, Dnepropetrovsk, Ukraine

V.N. Zhuravlev, Cand. Sci. (Tech.), State Higher Educational Institution “National Mining University”, Senior Research Fellowof the Department of Construction and Geomechanics, Dnepropetrovsk, Ukraine

M.S. Dubitskaya, State Higher Educational Institution “National Mining University”, Postgraduate Studentof the Department of Construction and Geomechanics, Dnepropetrovsk, Ukraine

Abstract:

Purpose. To develop an effective method of prediction of structural heterogeneities in rock massif by analyzing its strain-stress state.

Methodology. Based on the theory of signals the process of the probing signal information modulation in heterogeneities of dispersion medium has been considered in the first approximation.

Findings. The mathematical model of modulation of total phase of the wave packet envelope propagating in an inhomogeneous rock massif has been analyzed. We have substantiated the method of low-frequency equivalent application to solve the problem of informational distance between the functions of the total phase, which carry information about the dispersion properties of the studied massif. On the base of the proposed model we have proved, that the wave packet passes through structurally heterogeneous rock massif with uniform speed without distortion in the process of movement. However, the actual measurements show that the distortion of the wave packet occurs, and we should substantiate the distance at which it can be ignored.

Originality. We have suggested the mathematical model of the acoustic wave packet propagation in the dispersive rock medium, based on the wave functions of Green, which allows us to predict parameters of the structural heterogeneities in massif.

Practical value. The developed mathematical description of the wave packet spread model in a dispersive rock medium allows us to do subsequent deep analysis and justification, which in turn will improve the technique of the forecast of geological faults in rock and coal massif. This result is most demanded in mining of outburst-prone coal beds. 

References:

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Antsyferov, A.V. (2003), Teoriya i praktika seysmorazvedki [Theory and Practice of Seismic Prospecting], OOO “ALAN”, Donetsk, Ukraine.

2. Шашенко А.Н. Механика горных пород: Учебник для ВУЗов / А.Н. Шашенко, В.П. Пустовойтенко – К.: Новий друк, 2004. – 400 с.

Shashenko, A.N. and Pustovoytenko, V.P. (2004), Mekhanika gornykh porod [Mechanics of Rock], Tutorial for high school, Novyy druk, Kiev, Ukraine.

3.   Neil, D.M., Hanna, K. and Descour, J.M. (1999), “RockVision3d^тм seismic tomography applications in bump-prone coal mines”, Mine Planning and Equipment Selection 1999 & Mine Environmental and Economical Issues 1999, Dnipripetrovsk, NMUU of Ukraine, pp. 509–520.

4. Соболєв В.В. Технологія та безпека виконання вибухови робіт. Практикум: Навч. посібник / Соболєв В.В., Усик І.І., Терещук Р.М. – Дніпропетровськ: НГУ, 2006. – 114 с.

Sobolyev, V.V., Usyk, I.I. and Tereshchuk, R.M. (2006), Tekhnilohiia ta bezpeka vykonannia vybukhovykh robit [Technology and safety blasting operations. Workshop] Textbook, NMU, Dnipropetrovsk, Ukraine.

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