等积变换近似积分法及其应用——三相土固结沉降预测研究

Equiareal-transformation approximate integration and its application ——Prediction of consolidation settlement in three-phase soil

半空间点源问题的结果积分往往不能表达为有限形式,经济上未必可行,且不便于工程应用。如与数值法结合,将区域Ω适当分割并变换为特定的形式,则可降低积分重数,甚至得到解析解。本文将讨论以解析解为基础辅以数值法的近似积分方法,并将其应用于改进扎列茨基解,进而求解三相土的固结沉降问题,并进行参数敏感性分析,得出渗透系数、泊松比以及模量比对固结沉降均有较大的影响;另外该近似解能够较好的求解三相土固结沉降,具有一定的应用价值。

Normally, it is difficult to get the satisfied integration result of the half-space. If it is bonded with the numerical method, the continuum may be gotten. In the paper, the equiareal isometric transformation of the domain area is made. Furthermore, it is applied to the consolidation settlement in the three-phase soil, which is studied based on the 3apeцкийЮ. К. Solution. Moreover, the sensitivity of the parameters, such as seepage coefficient, modular ratio and the Poisson＇s ratio, are analyzed. Some worthy solutions are presented.