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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

  • L. A. Nazarova
  • , L. A. Nazarov
  • , A. L. Karchevsky
  • , M. Vandamme
  • Russian Academy of Sciences
  • Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences
  • Université Paris-Est

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)267-273
Number of pages7
JournalJournal of Applied and Industrial Mathematics
Volume8
Issue number2
DOIs
Publication statusPublished - 1 Jan 2014
Externally publishedYes

Keywords

  • coal bed
  • degassing
  • diffusion and mass transfer coefficients
  • gas content
  • geomechanics model
  • inverse problem
  • objective function

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