煤层瓦斯流固耦合渗流的数值模拟

Simulation of fluid-solid coupling flow of coal-bed methane

将渗流力学与弹塑性力学相结合 ,考虑煤层瓦斯和煤体骨架之间的相互作用 ,建立了煤层瓦斯运移的数学模型 ,并给出其数值解 .对煤层瓦斯渗流方程和煤体变形场方程分别进行离散 ,得到其相应的泛函方程 .根据有限元法原理推出其耦合求解方法 ,最后进行了实例计算 。

Combining the fluid mechanics in porous media and the theory of elastic-plastic theory and considering the interaction between deformation of coal skeleton and coal-bed flow, the mathematics models of coal-bed methane fluid-solid coupling flow and its numerical solution are given. Using finite element method the equations of fluid flow and coal skeleton deformation are dispersed. The functional equations were also given. Based on the FEM principle, the method to solving the coupling is developed. Lastly, a case study is carried out, and its simulation results show that the theory in this paper is correct.