非饱和瞬态渗流的DDA流固耦合模型研究

    Fluid-solid coupling model for discontinuous deformation analysis of unsaturated transient seepage

    • 摘要: DDA由于处理块体大变形、大位移问题能力较强,因此被广泛应用在岩体数值模拟当中。但该方法在模拟渗流场,尤其是瞬态渗流场方面目前鲜有研究。根据立方定律建立DDA稳态渗流模型,将非饱和二维Richards方程离散化处理,推导DDA瞬态整体渗流矩阵。将水头矩阵以外荷载形式作用在块体上,建立瞬态非饱和渗流流固耦合DDA计算模型。通过对土柱入渗、砂槽入渗试验和危岩体工程案例进行数值模拟,验证了该模型的正确性,为DDA处理非饱和瞬态流固耦合问题提供新方法。

       

      Abstract: The discontinuous deformation analysis (DDA) is widely used in numerical simulation of rock mass due to its capability to deal with large deformation and large displacement of a block. However, this method is rarely studied in simulating seepage field, especially transient seepage. Based on the steady-state seepage model established according to the cubic law, the unsaturated two-dimensional Richards equation is discretized and the transient global seepage matrix conforming to the DDA scheme is derived. The DDA transient unsaturated seepage fluid-solid coupling model for the DDA is established by acting the water head matrix as the external load form on the block. The correctness of the model is verified through the numerical simulation of soil column infiltration, sand tank infiltration tests and dangerous rock mass engineering cases, which provides a new method for the DDA to deal with the transient unsaturated fluid-solid coupling problem.

       

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