Transient and Quasi-Steady-State Analytical Methods for Simulating a Vertical Gas Flow in a Landfill with Layered Municipal Solid Waste

Xun Wu (), Jianyong Shi, Tao Zhang, Yuping Li and Shi Shu
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Xun Wu: College of Mechanics and Materials, Hohai University, Nanjing 211100, China
Jianyong Shi: Geotechnical Engineering Research Institute, Hohai University, Nanjing 210024, China
Tao Zhang: School of Civil Engineering and Architecture, Nanchang Hangkong University, Nanchang 330063, China
Yuping Li: Geotechnical Engineering Research Institute, Hohai University, Nanjing 210024, China
Shi Shu: Geotechnical Engineering Research Institute, Hohai University, Nanjing 210024, China

Mathematics, 2022, vol. 10, issue 19, 1-17

Abstract: The exploration of gas pressure and its distribution in landfills is a principal concern for the design and management of municipal solid waste (MSW) landfills. A one-dimensional analytical model was proposed to simulate a vertical gas flow in a landfill with layered MSWs. The transient analytical solution was obtained by the method of superposition and eigenfunction expansion and verified by a semi-analytical solution and numerical simulation. According to the results of a parametric analysis by the transient analytical solution, a vertical gas flow in landfills can be simplified to a quasi-steady-state flow. A quasi-steady-state analytical solution for simulating a vertical gas flow in a landfill with layered MSW is proposed. The quasi-steady-state analytical solution showed good agreement with the transient solution. Both temporal and spatial variations of the gas generation rate in MSW landfills were considered in the transient and quasi-steady-state analytical methods. A comparison between the proposed quasi-steady-state solution and the previously described steady-state solution showed that using the average gas generation rate or the gas generation rate corresponding to the average age of the MSW layer in the steady-state solution resulted in an error in the estimation of the gas pressure in landfills. The proposed solutions are reliable and can provide a reference for the design, management, and subsequent restoration of landfills.

Keywords: municipal solid waste; landfill gas; gas pressure; analytical solution; layered; gas generation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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