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Direct and inverse problems of gas emission and the sorptive deformation of coal beds

Abstract : Using the equations of state for fractured-porous media that describe the sorptioninduced deformation of coal, we develop a geomechanical model for radial gas influx to a borehole drilled in a coal bed with the concurrent evolution of stress field in the borehole environment. A numerical-and-analytical method is proposed for solving the corresponding system of equations for poroelastic media. A relation is found between the volume of slack withdrawn in the borehole (when opening up the gas-bearing seams), the sorption-and-storage capacities of coal, the permeability k, and the horizontal component σ h of the natural stress field. We demonstrate the solvability of the inverse boundary-coefficient problem of determining k and σ h on the basis of pressure in the closed borehole. We substantiate an express-method for estimating the permeability by the measurements of pressure in the borehole operating in the “pressure drop” mode.
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https://hal.archives-ouvertes.fr/hal-01693235
Contributor : Matthieu Vandamme <>
Submitted on : Friday, January 26, 2018 - 1:15:55 AM
Last modification on : Tuesday, December 8, 2020 - 10:20:37 AM

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L. A. Nazarova, L. A. Nazarov, Matthieu Vandamme, Jean-Michel Pereira. Direct and inverse problems of gas emission and the sorptive deformation of coal beds. Journal of Applied and Industrial Mathematics / Sibirskii Zhurnal Industrial'noi Matematiki and Diskretnyi Analiz i Issledovanie Operatsii, MAIK Nauka/Interperiodica, 2017, 11 (2), pp.236 - 243. ⟨10.1134/S1990478917020090⟩. ⟨hal-01693235⟩

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