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Estimating diffusion-capacity parameters of a coal bed using the gas pressure measured in a hole and the solution of an inverse problem

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Abstract

A geomechanical model is proposed for gas emission from a coal bed with block structure. Some coefficient inverse problem is formulated for finding the initial gas content as well as the diffusion and mass transfer coefficients from the measured pressure in a well. The solvability of this problem is tested, and the additional data on the gas-kinetic characteristics of the coal bed are shown to be necessary for the inverse problem to have a unique solution.

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Authors and Affiliations

  1. Chinakal Institute of Mining, Krasnyi pr. 54, Novosibirsk, 630091, Russia

    L. A. Nazarova & L. A. Nazarov

  2. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 6300090, Russia

    A. L. Karchevsky

  3. Ecole des Ponts ParisTech-Laboratoire Navier, 6-8 Av. B. Pascal, 77420, Champs-sur-Marne, France

    M. Vandamme

Authors
  1. L. A. Nazarova
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  2. L. A. Nazarov
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  3. A. L. Karchevsky
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  4. M. Vandamme
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Correspondence to L. A. Nazarova.

Additional information

Original Russian Text ©L.A. Nazarova, L.A. Nazarov, A.L. Karchevsky, M. Vandamme, 2014, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2014, Vol. XVII, No. 1, pp. 78–85.

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Nazarova, L.A., Nazarov, L.A., Karchevsky, A.L. et al. Estimating diffusion-capacity parameters of a coal bed using the gas pressure measured in a hole and the solution of an inverse problem. J. Appl. Ind. Math. 8, 267–273 (2014). https://doi.org/10.1134/S1990478914020136

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  • DOI: https://doi.org/10.1134/S1990478914020136

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