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利用分离变量法,将Biot固结模型的求解问题转化为复系数线性齐次常微分方程的求解,进而引入复波数的概念,构造水平位移的通解,最终得到了Biot固结模型的显式通解.将本文给出的解析解与Yamamoto等人的试验结果、解析解及Hsu和Jeng的解析解进行了比较,验证了本文解析解的有效性和优越性.基于解析解,通过对海床深度影响问题的分析,得出了波浪动水压力在海床内的影响深度为一倍波长的结论.
By using the method of separation variables, the solution of the Biot consolidation model is transformed into the solution of linear homogeneous homogeneous differential equations with complex coefficients, and then the concept of complex wave numbers is introduced to construct the general solution of horizontal displacement. Finally, the explicit general solution of the Biot consolidation model The analytical solution given in this paper is compared with that of Yamamoto et al., The analytical solution and the analytic solution of Hsu and Jeng, which verifies the validity and superiority of the analytic solution.According to the analytical solution, Analysis of the impact of the problem, draw the wave hydrodynamic pressure in the sea bed depth of influence of the conclusion of one wavelength.