Modelling of the gravitational effect generated by postexploitation voids with variable parameters

Lukasz Kortas
Central Mining Institute, Katowice

gravimetry, post mining voids, modelling

PRZEGLAD GORNICZY - THE POLISH MINING REVIEW, SITG
ISSN: 0033-216X

No 6(1075), Vol. 68, p. 9-20, 2012 

Abstract: The gravimetric method is one of the most efficient methods of non-invasive identification of post-mining voids occurrence.
The essence of this method is the measurement of distribution of the force of gravity intensity, the anomalies of which
indicate the sites of voids occurrence. In the present work an attempt was undertaken to determine in the course of model
investigations the simple functional connections between the physical and geometrical parameters of the void and the expected
gravitational effect identified by gravimetric measurements in the form of anomalies. The modelling results constituted the
basis to draw up suitable graphs in the form of discrete functions, which were next approximated in order to find relations
between the investigated variable and the gravitational effect. These formulas approximate only strict functions and concern
voids with small dimensions and occurring at low depths (not exceeding 50 m). The obtained solution can constitute the
basis for the verification of traditionally performed interpretation of results of gravimetric measurements and next carrying
out of investigation of the distribution of disturbing objects by means of the reverse analysis.

Key words: gravimetry, modelling, voids, functional connections