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| Estimation of liquefaction based on catastrophe theory |
| Revised:August 29, 2005 |
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| DOI：10.7511/jslx20082045 |
| KeyWord:soil mechanics,liquefaction potential,pore water pressure,catastrophe theory |
| ZHANG Ye-min LUAN Mao-tian LI Shun-qun HAO Dong-xue |
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| Abstract: |
| The cusp catastrophe model,a type of diverse catastrophe models which were created by Tom,is a typical and useful tool widely applied in biology,social science,and recently in engineering.In this paper,equations to express the pore water pressure induced by earthquake in a sandy soil body are constructed and analyzed.The formulas are built with capability of soil's anti-liquefaction potential and received energy in an element in an earthquake as two control variables and with pore water pressure increment induced by librations as a state variable for the cusp catastrophe model.Then the parameters in the equations are determined by data from liquefactions and un-liquefactions phenomenon in situation many earthquakest taken place all over the world in the past decades.In the end, comparison between in situation macroscopical liquefaction phenomenon induced by earthquake and calculated results by the proposed method is made and accordingly verifies the proposed method.The results show that the model can be conveniently and reliably used to correctly estimate sand liquefaction potential in practical engineering. |
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