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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 250852, 9 pages
http://dx.doi.org/10.1155/2014/250852
Research Article

Analysis of Mathematical Model for Migration Law of Radon in Underground Multilayer Strata

1IoT/Perception Mine Research Center, National and Local Joint Engineering Laboratory of Internet Technology on Mine, China University of Mining & Technology, Xuzhou 221008, China
2School of Mines, China University of Mining & Technology, Xuzhou 221116, China
3College of Geology & Mining Engineering, Xinjiang University, Urumqi 830046, China

Received 27 November 2013; Accepted 27 January 2014; Published 6 March 2014

Academic Editor: Jian Guo Zhou

Copyright © 2014 Wei Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper summarized the separation process of radon based on its geophysical-chemical properties. Taking into account the geological conditions of mining, the mathematical model of radon migration in underground multilayer strata (UMS) was established to investigate the distribution law of radon concentration in UMS. It was found that the distribution of radon concentration in UMS is affected by both the properties of the strata and the depth of cover and the radon concentration law varies at different depths even in the same layer stratum. At last, in order to validate the derivation result of the mathematical model of radon migration in UMS, the actual measured values (AMV) and the calculated values (CV) were compared further. As a result, the CV was found to be approximately equal to the AMV with deviation values (DV) less than 5%, which indicates that the derivation result of the mathematical model of radon migration in UMS is correct.