Preprint Article Version 4 This version not peer reviewed

A Semi-empirical Model of Air Waves Induced by Falling Rock in a Closed Goaf

Version 1 : Received: 16 November 2016 / Approved: 16 November 2016 / Online: 16 November 2016 (13:06:39 CET)
Version 2 : Received: 23 January 2017 / Approved: 23 January 2017 / Online: 23 January 2017 (09:15:34 CET)
Version 4 : Received: 24 January 2017 / Approved: 25 January 2017 / Online: 25 January 2017 (03:46:33 CET)

How to cite: Ren, F.; Liu, Y.; Cao, J.; He, R.; Xu, Y.; You, X.; Zhou, Y. A Semi-empirical Model of Air Waves Induced by Falling Rock in a Closed Goaf. Preprints 2016, 2016110083 (doi: 10.20944/preprints201611.0083.v4). Ren, F.; Liu, Y.; Cao, J.; He, R.; Xu, Y.; You, X.; Zhou, Y. A Semi-empirical Model of Air Waves Induced by Falling Rock in a Closed Goaf. Preprints 2016, 2016110083 (doi: 10.20944/preprints201611.0083.v4).

Abstract

In this paper, a semi-empirical model of air waves induced by falling rock is described. The model is composed of a uniform motion phase (velocity close to 0 m·s-1) and an acceleration movement phase. The uniform motion phase was determined based on experimentally and the acceleration movement phase was derived by theoretical analysis. A series of experiments were performed to verify the semi-empirical model and elucidated the law of the uniform motion phase. The acceleration movement phase accounted for a larger portion with a greater height of the falling rock. Experimental results of different falling heights of the goaf showed close agreement with theoretical analysis values. The semi-empirical model could accurately and conveniently estimate the velocity of air wave induced by falling rock. Thus, the semi-empirical model can provide a reference and basis for estimating the speed of air waves and designing protective measures in mines.

Subject Areas

air waves; falling rock; semi-empirical model; uniform motion phase; acceleration movement phase

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