Analytical solution for axisymmetric gas flow in layered MSW landfills: Coupling stratification and depth-dependent
1Department of Civil Engineering and Transportation, Hohai University, Nanjing, 210024, China.
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An axisymmetric steady-state analytical model is developed in this study to describe gas flow around vertical wells in layered municipal solid waste (MSW) landfills. The proposed model explicitly accounts for the stratified configuration of the landfills and incorporates a depth-dependent gas permeability coefficient. The analytical solution is derived through the application of eigenfunction expansion and superposition methods, and the model formulation is validated against numerical simulations performed using COMSOL Multiphysics. Subsequent parametric analyses reveal that the base-e exponential-type-layered representation of the gas permeability coefficient more accurately captures the intrinsic gas migration patterns within the landfill profile. Furthermore, within a two-layer cover system, the incorporation of a low-permeability upper layer is demonstrated to substantially attenuate surface gas flux. Collectively, these findings provide a rigorous theoretical foundation for the optimized design of vertical gas extraction wells and cover layer configurations.
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