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垃圾填埋气体渗流过程中压力分布的滑脱解
引用本文:薛强,冯夏庭,梁冰. 垃圾填埋气体渗流过程中压力分布的滑脱解[J]. 应用数学和力学, 2005, 26(12): 1470-1478
作者姓名:薛强  冯夏庭  梁冰
作者单位:中国科学院 武汉岩土力学研究所,武汉 430071;2.辽宁工程技术大学 力学与工程科学系, 辽宁 阜新 123000
基金项目:国家自然科学基金资助项目(50309015);国家重点基础研究发展规划973项目(2002CB412708);武汉市青年科技晨光计划项目(20055003059-33);地质灾害防治与地质环境保护国家专业实验室基金资助项目(GZ2004-011)、
摘    要:考虑气体滑脱效应条件下,建立了垃圾填埋场气体渗流的数学模型.采用摄动法及积分变换法对模型进行解析求解,定量研究填埋气体的压力分布特征,并结合监测数据对模型参数与模型可靠性进行灵敏度分析和验证.结果表明:滑脱效应对气体渗流有较大影响,考虑滑脱效应条件的气体压力小于未考虑滑脱效应条件的气体压力,且得到的滑脱解与实测数值吻合较好.因此,研究填埋气体渗流时不能忽略滑脱效应.这不仅对于填埋场释放气体控制系统的设计和管理提供理论依据,而且可为低渗透油气藏工程开发过程中试井数据的确定提供科学的技术支持.

关 键 词:填埋气体   滑脱效应   数学模型   摄动法   滑脱解
文章编号:1000-0887(2005)12-1470-09
收稿时间:2004-07-06
修稿时间:2005-05-23

Slippage Solution of Gas Pressure Distribution in the Process of Landfill Gas Seepage
XUE Qiang,FENG Xia-ting,LIANG Bing. Slippage Solution of Gas Pressure Distribution in the Process of Landfill Gas Seepage[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1470-1478
Authors:XUE Qiang  FENG Xia-ting  LIANG Bing
Affiliation:Institute of Rock and Soil Mechanics, Chinese Academy of Science, Wuhan 430071, P. R. China;
Abstract:A mathematical model of landfill gas migration was established under presumption of the effect of gas slippage. The slippage solutions to the nonlinear mathematical model were accomplished by the perturbation and integral transformation method. The distrbution law of gas pressure in landfill site was presented under the conditions of considering and neglecting slippage effect. Sensitivity of the model input parameters was analyzed. The model solutions were compared to observation values. Results show that gas slippage effect has a large impact on gas pressure distribution. Landfill gas pressure and pressure gradient considering slippage effect is lower than that neglecting slippage effect, with reasonable agreement between model solution and measured data. It makes clear that the difference between considering and neglecting slippage effect is obvious and the effects of coupling cannot be ignored. The theoretical basis is provided for engineering design of security control and decision making of gas exploitation in landfill site. The solutions give scientific foundation to analyzing well test data in the process of low-permeability oil gas reservoir exploitation.
Keywords:landfill gas  gas slippage effect   mathematical model   pertutbation method  slippage solution
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