Abstract
The authors propose a physico-mathematical model to describe nonequilibrium filtration and diffusion of gas in coal in the framework of heterogeneous medium mechanics considering physical desorption. The model consists of a set of nonhomogeneous parabolic equations with. In terms of problems on propagation of compression and rarefaction waves, effect of nonequilibrium desorption on parameters of these waves is revealed. The problem on initiation and steady-state of a shock wave in coal is solved.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Krichevsky, R.M., Methane Flow from Coal in Entry Ways, Byull. MakNII, 1947, no. 16.
Khristianovich, S.A., Gas Pressure Distribution at the Moving Free Surface of Coal, Izv. AN SSSR, OTN, 1953, no. 2.
Fedorov, A.V. and Fedorchenko, A.I., Mathematical Modeling of Methane Flow in Coal Beds, J. Min. Sci., 2009, vol. 45, no. 1, pp. 9–21.
Hall, G. and Watt, J.M. (Eds.), Modern Numerical Methods for Ordinary Differential Equations, Clarendon Press, 1976.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.V. Fedorov, A.V. Shul’gin, 2015, published in Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, 2015, No. 1, pp. 49–54.
Rights and permissions
About this article
Cite this article
Fedorov, A.V., Shul’gin, A.V. Effect of desorption nonequilibrium on structure of shock and rarefaction waves in coal bed. J Min Sci 51, 38–42 (2015). https://doi.org/10.1134/S1062739115010068
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1062739115010068