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One‐dimensional consolidation analysis of layered soil with exponential flow under continuous drainage boundary
International Journal for Numerical and Analytical Methods in Geomechanics ( IF 3.4 ) Pub Date : 2024-08-05 , DOI: 10.1002/nag.3820
Yi Zhang 1 , Jia Wang 1 , Mengfan Zong 1 , Wenbing Wu 2 , Siyu Cai 1 , Zhongling Zong 1 , Guoxiong Mei 3 , Chenming Wang 1
International Journal for Numerical and Analytical Methods in Geomechanics ( IF 3.4 ) Pub Date : 2024-08-05 , DOI: 10.1002/nag.3820
Yi Zhang 1 , Jia Wang 1 , Mengfan Zong 1 , Wenbing Wu 2 , Siyu Cai 1 , Zhongling Zong 1 , Guoxiong Mei 3 , Chenming Wang 1
Affiliation
To comprehensively consider the influence of boundary conditions, non‐Darcy flow, load forms, and soil stratification on soil consolidation, a one‐dimensional soil consolidation equation is established. By subdividing the soil layer and employing time discretization, the nonlinear consolidation equation is linearized, resulting in an analytical solution for layered soil foundation at any given time. Subsequently, an iterative approach for time solution is employed to obtain a semi‐analytical solution. The correctness of the solution is verified by comparison with solutions based on Darcy's flow and the semi‐analytical method under traditional drainage boundary conditions. Subsequently, the influence of interface parameters, loading conditions, flow index, and other factors on consolidation characteristics is analyzed. The results indicate that higher interface parameter values for continuous drainage boundaries correspond to faster average consolidation rates for stratified soil foundations, while these parameters have little effect on the time required for complete consolidation of the soil layers. Improved boundary drainage performance amplifies the influence of exponential flow on pore water pressure and average consolidation degree. Conversely, poor boundary drainage performance diminishes the impact of exponential flow on soil consolidation, rendering it negligible. Moreover, faster loading rates accentuate the influence of the flow index on the average consolidation degree defined by pore pressure.
中文翻译:
连续排水边界下指数流层状土一维固结分析
综合考虑边界条件、非达西流、荷载形式和土体分层对土体固结的影响,建立一维土体固结方程。通过细分土层并采用时间离散化,将非线性固结方程线性化,从而得到任意给定时间层状土基的解析解。随后,采用时间求解的迭代方法来获得半解析解。通过与传统排水边界条件下基于达西流和半解析法的解的比较,验证了解的正确性。随后分析了界面参数、加载条件、流动指数等因素对固结特性的影响。结果表明,连续排水边界的界面参数值越高,分层土基的平均固结速度越快,而这些参数对土层完全固结所需的时间影响不大。改进的边界排水性能放大了指数流对孔隙水压力和平均固结度的影响。相反,边界排水性能差会减弱指数流对土壤固结的影响,使其可以忽略不计。此外,更快的加载速率加剧了流动指数对由孔隙压力定义的平均固结度的影响。
更新日期:2024-08-05
中文翻译:
连续排水边界下指数流层状土一维固结分析
综合考虑边界条件、非达西流、荷载形式和土体分层对土体固结的影响,建立一维土体固结方程。通过细分土层并采用时间离散化,将非线性固结方程线性化,从而得到任意给定时间层状土基的解析解。随后,采用时间求解的迭代方法来获得半解析解。通过与传统排水边界条件下基于达西流和半解析法的解的比较,验证了解的正确性。随后分析了界面参数、加载条件、流动指数等因素对固结特性的影响。结果表明,连续排水边界的界面参数值越高,分层土基的平均固结速度越快,而这些参数对土层完全固结所需的时间影响不大。改进的边界排水性能放大了指数流对孔隙水压力和平均固结度的影响。相反,边界排水性能差会减弱指数流对土壤固结的影响,使其可以忽略不计。此外,更快的加载速率加剧了流动指数对由孔隙压力定义的平均固结度的影响。