Features of seepage of a liquid to a Chink in the cracked Deformable Layer
Features of seepage of a liquid to a Chink in the cracked Deformable Layer
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DOI：
10.1142/s1793962310000195
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发表时间：
2010-09
期刊：
影响因子：
--
通讯作者：
T. Aleroev;H. Aleroeva;Jianfei Huang;Ningming Nie;Yifa Tang;S. Zhang
中科院分区：
文献类型：
--
作者：
T. Aleroev;H. Aleroeva;Jianfei Huang;Ningming Nie;Yifa Tang;S. Zhang
建立了裂隙变形层中液体渗流的新模型--变系数非线性分数阶常微分方程组的初值问题，并设计了求解该初值问题的二阶数值格式。这个新模型从理论上解释了层的工作厚度H取决于整个弹道上的压力梯度值，而不是一个点的压力梯度，这一点得到了大量数据的验证。与Dontsov方程相比，我们的分数阶模型更多地考虑了整个过程。在分数模型的显示行中也可以考虑较早拒绝的结果。
We establish a new model for seepage of a liquid to a chink in the cracked deformable layer, an initial value problem of nonlinear fractional differential equation with variable coefficients, then design a numerical scheme of order 2 to solve this initial value problem. This new model theoretically explains the operating thickness H of a layer depending on the values of pressure gradient on the whole chink rather than on one point, which is practiced by a large amount of data. Compared with the Dontsov equation, our fractional model considers more aspects of the whole process. The earlier rejected results can also be considered in the display lines of the fractional model.