Abstract
Some algorithm is presented for calculating the concentration of methane from coal slack placed in a sealed container. The algorithm allows us to compute the values of the methane concentration for large times.
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References
N. V. Nozhkin, Advance Degassing of Coal Deposits (Nedra, Moscow, 1979) [in Russian].
Instruction on Degassing Coal Mines (STC “Industrial Safety,” Moscow, 2012) [in Russian].
A. D. Ruban and V. S. Zaburdyaev, “Parametrization Procedure for Coal Bed Degassing,” Fiz.-Tekhn. Problemy Razrabotki Poleznykh Iskopaemykh No. 3, 3–12 (2011).
W. P. Diamond and S. J. Schatzel, “Measuring the Gas Content of Coal: A Review,” Internat. J. CoalGeology 35(1–4), 311–331 (1998).
ASTMD7569 / D7569M - 10(2015)e1: Standard Practice for Determination of Gas Content of Coal—Direct Desorption Method. URL: http://www.astm.org/Standards/D7569.htm
I. R. Vengerov, Thermal Physics of Mines. Mathematical Models, Vol. 1 (Nord-Press, Donetsk, 2008) [in Russian].
A. A. Skochinskii, V. V. Khodot, and V. G. Gmoshinskii, Methane in Coal Beds (Ugletekhizdat, Moscow, 1958) [in Russian].
D. M. Smith, “Methane Diffusion and Desorption in Coal,” PhD Thesis (Univ. New Mexico, Los Alamos, 1982).
S. V. Kuznetsov and R. N. Krigman, Natural Permeability of Coal Beds and Techniques for Permeability Determination (Nauka, Moscow, 1978) [in Russian].
S. A. Khristianovich and Yu. F. Kovalenko, “Gas Preassure Measurement in Coal Beds,” Fiz.-Tekhn. Problemy Razrabotki Poleznykh Iskopaemykh, No. 3, 3–24 (1988).
L. A. Nazarov and L. A. Nazarova, “Determination of Filtration Properties and Stresses in a Coal Seam by Solving the Inverse Problem,” Fiz.-Tekhn. Problemy Razrabotki Poleznykh Iskopaemykh, No. 2, 15–22 (2000) [J. Mining Sci. 36 (2), 106–113 (2000)].
L. A. Nazarova, L. A. Nazarov, and A. L. Karchevsky, “Technique of Canister Test Data Interpretation for Estimating Diffusion-Capacity Parameters of a Coal Bed by Solving an Inverse Problem,” Gorn. Inform.-Analit. Byull. No. 1, 56–68 (2014).
L. A. Nazarova, L. A. Nazarov, A. L. Karchevsky, and M. Vandamme, “Estimating Diffusion-Capacity Parameters of a Coal Bed Using the Gas Pressure Measured in a Hole and the Solution of an Inverse Problem,” Sibirsk.Zh. Industr. Mat. 17(1), 78–85 (2014) [J. Appl. Indust. Math. 8 (2), 267–273 (2014)].
N. A. Berezovskii, S. P. Grekov, and I. N. Smolanov, “Mathematical Model of Methane Liberation from a Separated Coal Fragment,” Dokl. Natsion. Akad. Nauk Ukrain. No. 1. 13–17 (2003).
I. L. Ettinger, Gas Content of Fossil Coals (Nedra, Moscow, 1966) [in Russian].
I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Series, and Products (Fizmatgiz, Moscow, 1962; Academic Press, San Diego, CA, 1965).
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Original Russian Text © A.L. Karchevsky, L.A. Nazarov, L.A. Nazarova, 2015, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2015, Vol. XVIII, No. 1, pp. 45–55.
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Karchevsky, A.L., Nazarov, L.A. & Nazarova, L.A. Calculation of the gas pressure in a closed container with coal slack under isothermal desorption. J. Appl. Ind. Math. 9, 196–205 (2015). https://doi.org/10.1134/S1990478915020052
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DOI: https://doi.org/10.1134/S1990478915020052