变荷载下考虑非达西渗流的一维固结半解析解

 基于非达西渗流定律，运用成层地基线性固结解析解与数值离散相结合的半解析方法，得到变荷载作用下一维固结问题的半解析解。将半解析解与达西渗流下的解析解和非达西渗流下的差分解进行对比，验证半解析解的可靠性。进而对不同参数下的固结性状进行分析。结果表明：非达西渗流模型中的参数对一维固结性状有重要影响，指数越大、临界水力坡降越大，则土层的固结速率越慢；同时，荷载的大小与土层厚度对土层固结性状有重要影响，作用于土层的荷载越大，则固结速率越快；土层越厚，则固结速率越慢。在非达西渗流下，传统固结理论中固结时间与土层厚度平方成正比的相似关系不再满足。荷载的加荷速率越快，则土层的固结速率越快。最后，讨论了达西渗流定律在一维固结计算中的适用范围。

SEMI-ANALYTICAL SOLUTION OF ONE-DIMENSIONAL CONSOLIDATION WITH NON-DARCIAN FLOW CONSIDERING TIME-DEPENDENT LOADING

A semi-analytical method，combining analytic solution for linear consolidation of layered soils with numerical discretization，is adopted to consider one-dimensional consolidation with non-Darcian flow under time-dependent loading，and semi-analytical solutions for this problem are obtained. The reliability of semi-analytical solutions was verified by comparing semi-analytical solutions to analytical solutions with Darcy?s flow and finite difference solutions with non-Darcian flow. Then consolidation behavior under various parameters is analyzed by a series of computation，and the results show that the parameters of non-Darcian flow have great influence on consolidation behavior；the greater the exponent and critical hydraulic grade，the slower the rate of consolidation；external load and the thickness of soil layer have great influence on consolidation behavior；the larger the load，the faster the rate of consolidation；the thicker the thickness of soil layer，the slower the rate of consolidation. Based on this non-Darcian flow，the similarity relationship that consolidation time is proportional to the square of the thickness of soil layer in classic theory of consolidation is no longer satisfied. The faster the loading rate，the faster the rate of consolidation. Finally，applicability of Darcy?s flow law to one-dimensional consolidation is analyzed.