峰后岩石非Darcy渗流中的孤波OA
Solitary waves in non-Darcy flow in post-failure rock
峰后岩石非Darcy渗流系统动力学方程组是煤矿突水或煤与瓦斯突出等动力灾害研究的重要模型.一旦在峰后岩石非Darcy渗流系统中形成孤波,就有可能造成岩体中渗流运动的失稳,发生煤矿突水或煤与瓦斯突出等安全事故.应用修正tanh-coth方法对峰后岩石非Darcy渗流系统动力学方程组进行求解,得到了该方程组的一些新的周期波解和孤波解.获得的结果有助于峰后岩石非Darcy渗流中包含孤波解的进一步研究,为制定预防孤波解所对应突出动力灾害措施提供理论依据.
The dynamical equations of non-Darcy flow in post-failure rock are an important model for the study on dynamic disaster caused by coal mine water inrush,coal and gas outburst,etc.Once solitary waves manifest in non-Darcy flow within post-failure rock,they may induce instability in the flow dynamics of the rock mass,potentially resulting in safety incidents such as water inrush or coal and gas outbursts.The modified tanh-coth method is applied to the dynamical equations of non-Darcy flow in post-failure rock,and some new periodic and soliton solutions of the equations are obtained.The results are helpful to further study the solitary waves in non-Darcy flow in post-failure rock,to provide theoretical basis of designing efficient measures to control the disasters corresponding the solitary waves.
郭鹏;唐荣安;孙小伟;洪学仁;石玉仁
兰州交通大学材料科学与工程学院,甘肃兰州 730070||兰州交通大学数理学院,甘肃兰州 730070||兰州交通大学铁道车辆热工教育部重点实验室,甘肃兰州 730070西北师范大学物理与电子工程学院,甘肃兰州 730070兰州交通大学数理学院,甘肃兰州 730070西北师范大学物理与电子工程学院,甘肃兰州 730070西北师范大学物理与电子工程学院,甘肃兰州 730070
建筑与水利
修正tanh-coth方法峰后岩石非Darcy流精确解孤波
modified tanh-coth methodpost-failure rocknon-Darcy flowexact solutionsolitary wave
《安徽大学学报（自然科学版）》 2026 (2)
34-41,8
国家自然科学基金资助项目(11765017,12065022,12165018)甘肃省自然科学基金资助项目(23JRRA681)甘肃省高等学校产业支撑计划资助项目(2021CYZC-07)
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