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| An explicit integrator method for the dynamic problem of fluid-saturated porous medium in time domain |
| Received:July 04, 2016 Revised:September 16, 2016 |
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| DOI：10.7511/jslx201705007 |
| KeyWord:fluid-saturated porous media u-p formulation matrix diagonalization completely explicit integrator method time domain |
| Author | Institution |
| 宋佳 |
北京工业大学 城市与工程安全减灾教育部重点实验室, 北京 |
| 许成顺 |
北京工业大学 城市与工程安全减灾教育部重点实验室, 北京 |
| 杜修力 |
北京工业大学 城市与工程安全减灾教育部重点实验室, 北京 |
| 李亮 |
北京工业大学 城市与工程安全减灾教育部重点实验室, 北京 |
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| Abstract: |
| Zienkiewicz et al.(1980)established the dynamic solid-fluid coupled equations in u-p form for fluid-saturated porous media based on Biot's consolidation theory with the variables of displacement u and pore pressure p, by neglecting the acceleration of the pore fluid with respect to the solid skeleton.In this study,for the u-p equations,the Galerkin finite element method is used to discrete the computing space domain,combined with a diagonal mass matrix and the fluid compression matrix to ignoring the coupling between the inertia and fluid compression between adjacent nodes.In time domain,based on explicit algorithms derived by Du and Wang (2000) and the Euler predictor-corrector method,a completely explicit method with second-order accuracy is proposed.A one-dimensional model of saturated soil is used to compare the numerical solution by the proposed method and the analytical solution derived by Simon(1984).The good agreement between the results obtained by the two methods indicates the accuracy of the proposed method.Finally,a two-dimensional model of saturated soil is analyzed.Two examples with different permeable coefficients or drained boundaries are analysed to reveal the effect on the dynamic responses of saturated porous medium. |
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