A flexible multi-sided saturation porous media cross-order analysis method

By employing polygonal cross-order elements in the analysis of saturated porous media, the problem of traditional element shape and order limitations is solved, achieving a high combination of computational accuracy and efficiency. This method is suitable for numerical analysis of complex engineering projects such as high earth-rock dams and offshore wind power foundations.

CN122413802APending Publication Date: 2026-07-17中国雅江集团有限公司 +1
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
中国雅江集团有限公司
Filing Date
2026-04-16
Publication Date
2026-07-17

AI Technical Summary

Technical Problem

In the analysis of saturated porous media, the limitations of traditional unit shape and order make it difficult to reconcile the contradiction between computational accuracy and efficiency, especially in complex engineering projects where high-precision numerical analysis is difficult to achieve.

Method used

A flexible cross-order analysis method for polygonal saturated porous media is adopted. By using second-order elements for refinement in key areas and first-order elements in other areas, and combining polygonal cross-order elements for solution, a smooth transition of cross-scale mesh is achieved by using the scaled boundary finite element method and Biot consolidation theory.

Benefits of technology

While ensuring computational accuracy, it reduces the computational burden caused by global mesh refinement, alleviates the problems of pore pressure oscillation in first-order elements and increased degrees of freedom in second-order elements, and improves computational efficiency and analysis performance.

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Abstract

一种灵活的多边形饱和多孔介质跨阶次分析方法,属于岩土工程数值分析方法技术领域。步骤:S1:输入计算模型所需的数据文件;S2:确定各单元线上与面内积分点的空间位置,计算雅可比矩阵;S3:获取本构矩阵及渗流矩阵;S4:根据单元各边的阶次,确定积分点处的位移、孔压形函数;S5:应用Galerkin加权余量法对Biot固结方程进行空间离散,根据Hammer积分法则和分块域内积分方案求解方程相关系数矩阵;S6:对关于时间的常微分方程进行时域离散,并通过迭代法求解离散后的非线性方程组;S7:组装得到总体刚度矩阵。本发明能够灵活处理跨尺度网格,并支持一阶与二阶的过渡,既保证了计算精度又避免了全局网格细化带来的计算负担,具有较强的普适性。
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