| 袁 颖.复杂工况单向固结理论分析及可视化[J].地质与勘探,2015,51(5):999-1006 |
| 复杂工况单向固结理论分析及可视化 |
| Analysis of complex conditions of one-dimensional consolidation theory and visualization |
| 投稿时间：2015-03-15 修订日期：2015-08-10 |
| DOI： |
| 中文关键词: 单向固结 复杂工况 MATLAB可视化 平均固结度 |
| 英文关键词: one-dimensional consolidation, complex conditions, MATLAB visualization, average consolidation degree |
| 基金项目:国家自然科学基金资助(编号：41301015)、河北省教育厅自然重点项目资助(编号：ZD2015073)、石家庄经济学院国家自然科学基金预研基金(编号：syy201308)、石家庄经济学院学生科技基金(编号：KAY201508)联合资助。 |
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| 中文摘要: |
| 以Terzaghi单向固结理论为基础，对均质土层、分层土层、土层荷载增加、土层厚度变化情况下的孔隙水压力进行了理论分析。建立了以孔隙水压力为未知量的差分形式的控制方程，并通过泰勒级数展开，推导建立了具有二阶精度的边界方程；同时采用MATLAB软件编制相应的通用程序，得到Terzaghi单向固结理论孔隙水压力的数值解。此外，基于按作用消散的平均孔隙水压力的定义通过已经得到的孔隙水压力的数值解计算得到各不同复杂工况下的平均固结度，并且利用MATLAB软件强大的数值计算能力和图形处理功能，实现可视化，对于实际工程中的平均固结度的求解及通过平均固结度来推断地面沉降量有一定的指导和参考价值。 |
| 英文摘要: |
| Based on the Terzaghi one-dimensional consolidation theory, this paper analyses the pore water pressure in different cases including homogeneous soil, layered soil, load increase on the soil surface and variable soil thicknesses. The difference forms of governing equation in which the unknown quantity is pore water pressure have been established. Meanwhile, the boundary equations which have second-order accuracy are deduced through Taylor series expansion. Furthermore, the general program is developed using MATLAB software and the numerical solution of pore water pressure which is based on the Terzaghi one dimensional consolidation theory is obtained. In addition, the average consolidation degrees under different complex conditions are calculated through the numerical solution of pore water pressure based on the definition of average pore water pressure dissipated by different effects. Moreover, the visualization is implemented in terms of MATLAB software which has powerful functions of numerical calculation and graphic processing. These results have guiding significance and a reference value for solving average consolidation degrees and then evaluating land subsidence in practical engineering. |
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