本文用特征线法研究了碱水二维渗流的对流模型，给出了碱水浓度非线性波传播公式。
We study the two-dimensional model of alkaline pulses by using the method of characteristics. The formulae of the nonlinear concentration waves are presented.
另一方面又利用矩阵理论等推导出含有二次项的非线性函数的协方差传播公式的矩阵形式。
On the other hand, it also derives the covariance propagation formula of non-linear function containing quadratic term in matrix form using the matrix theory etc.
采用邻域传播的思想，为每个水结点增加一个速度参数，推导出水面受到扰动后，水波的演变公式。
Increasing a speed parameter for each water node, we adopt the idea of neighboring regions spread to derivate the evolution formula of water wave with disturbance.
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