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| Precise time-integration method for the time-domain solution of the dynamic consolidation problem of fluid-saturated porous media |
| Received:November 18, 2015 Revised:March 08, 2016 |
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| DOI：10.7511/jslx201701003 |
| KeyWord:fluid-saturated porous media dynamic consolidation u-p dynamic formulation precise time-integration method backward difference algorithm |
| Author | Institution |
| 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 |
| 高超 |
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 |
| 吴利华 |
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: |
| A precise time-integration method for the time-domain solution of the dynamic consolidation problem of fluid-saturated porous media is proposed on the basis of u-p dynamic formulation.The solid-phase displacement u is computed by the precise time-integration algorithm,and the pore fluid pressure pis computed by the backward difference algorithm.The proposed method is verified by a standard numerical example.The characteristic of the proposed method is also investigated.The computational accuracy is compared when several numerical integral methods are employed to calculate the special solution term of u-p dynamic formulation.The computational accuracy of Gauss integral method is also compared when different numbers of integral points are employed.It is shown that (1) the proposed precise time-integration method has fine computational accuracy.(2) Gauss integral method,Simpson integral method and Coates integral method all have fine computational accuracy,while trapezoidal integral method has poor computational accuracy when used to compute the special solution term.(3) the effect of the number of Gauss integral points on computational accuracy is insignificant. |