格子Boltzmann方法在斜坡非饱和带土体大孔隙流研究中的应用
Application of lattice Boltzmann method in macropore flows in unsaturated zone soil of slopes
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摘要: 大孔隙结构的建立和大孔隙流的渗流模拟能定性和定量的解释大孔隙流的产生机理及其动态变化过程。采用CT扫描获取斜坡非饱和带大孔隙域,基于不考虑外力项的格子Boltzmann方法,通过确定离散速度模型、平衡态分布函数和分布函数的演化方程三大组成部分,其中边界条件与计算假设依据染色示踪试验设定,定性定量化研究二维大孔隙流的渗流过程,研究结果表明:该方法能清晰定量化描述大孔隙流湿润前锋的推进过程,大孔隙效应明显,渗流场流速随着时间推移逐渐趋于稳定,大孔隙效应逐渐减弱;在连通性较好、孔径较大的区域流体流速较快,且在大孔隙中心流速最大,往两侧逐级递减;下层深度处的流体流量和流速往往受控于上一层大孔隙的孔径尺度。格子Boltzmann方法的应用能为大孔隙流特别是三维渗流过程的研究提供新手段。Abstract: The establishment of macropore structure and infiltration simulation is primarily used to explain the mechanism and dynamic change of macropore flows. The macropore domain of unsaturated zone soil of slopes by means of CT scan is acquired. Moreover, based on the lattice Boltzmann method regardless of the external forces, qualitative and quantitative researches on two-dimensional macropore flow seepage process are achieved after the discrete-velocity model, equilibrium distribution function and evolution equation of distribution function are established with boundary conditions and calculation assumptions according to dye tracer experiments. The results show that: (1) This computing method can clearly and quantitatively describe the wetting front propulsion of macropore flows and prove that the macropore effect is obvious, but the effect decreases when the seepage flow velocity gradually tends to be stable. (2) The fluid velocity is faster in better connectivity and larger macropore size area, and the velocity decreases gradually from the center to both sides of macropore which means it is the fastest in the center. (3) The quantity and velocity of fluid flows at the lower depth is under the control of the macropore size at the above depth. The application of the lattice Boltzmann method can offer helps for macropore flows, especially three-dimensional seepage study.