A model for hydrodynamic influence on a multi-layer deformable coal seam. (English) Zbl 1162.74403
Summary: The paper suggests a mathematical model of hydrodynamic influence on a multi-layer deformable coal seam, based on transient poroelastic equations with regard to nonlinear dependence on the pressure for the filtration coefficients. For numerical simulation a general problem setting is given, and the semi-discrete finite element approximations and time integration schemes for the equations of the finite element method are provided. By using an analogy between poroelasticity and thermoelasticity the transient nonlinear poroelastic problem obtained is solved as a corresponding thermoelastic problem. As example, an axisymmetrical problem with input data corresponding to a real-world experiment of a hydrofracture in a three-layer coal seam is considered. The computational results allowed to estimate the radius of the degassing zone and verify the results obtained previously for a pure filtration problem.
MSC:
| 74L10 | Soil and rock mechanics |
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 76S05 | Flows in porous media; filtration; seepage |
| 86A05 | Hydrology, hydrography, oceanography |
Keywords:
methane extraction; fluid pressure; poroelasticity; thermoelasticity; finite element methodSoftware:
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