Research output: Contribution to journal › Article › peer-review
Direct and inverse problems of gas emission and the sorptive deformation of coal beds. / Nazarova, L. A.; Nazarov, L. A.; Vandamme, M. et al.
In: Journal of Applied and Industrial Mathematics, Vol. 11, No. 2, 01.04.2017, p. 236-243.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Direct and inverse problems of gas emission and the sorptive deformation of coal beds
AU - Nazarova, L. A.
AU - Nazarov, L. A.
AU - Vandamme, M.
AU - Pereira, J. M.
PY - 2017/4/1
Y1 - 2017/4/1
N2 - 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 A relation is found between the volume of slack withdrawn in the borehole (when opening up the gas-bearing seams), the sorption-and-storage capacities of coal, the permeability k, and the horizontal component σh of the natural stress field. We demonstrate the solvability of the inverse boundary-coefficient problem of determining k and σh 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.
AB - 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 A relation is found between the volume of slack withdrawn in the borehole (when opening up the gas-bearing seams), the sorption-and-storage capacities of coal, the permeability k, and the horizontal component σh of the natural stress field. We demonstrate the solvability of the inverse boundary-coefficient problem of determining k and σh 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.
KW - borehole
KW - coal bed
KW - filtration
KW - fracture-porousmedium
KW - inverse problem
KW - natural stress
KW - permeability
UR - http://www.scopus.com/inward/record.url?scp=85019723794&partnerID=8YFLogxK
U2 - 10.1134/S1990478917020090
DO - 10.1134/S1990478917020090
M3 - Article
AN - SCOPUS:85019723794
VL - 11
SP - 236
EP - 243
JO - Journal of Applied and Industrial Mathematics
JF - Journal of Applied and Industrial Mathematics
SN - 1990-4789
IS - 2
ER -
ID: 10036769