| 太沙基方程Laplace解 |
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| 引用本文： | 张琦,王生志,徐大地.太沙基方程Laplace解[J].地质与资源,2004,13(2):126-128,108. |
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| 作者姓名： | 张琦 王生志 徐大地 |
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| 作者单位： | 辽宁省化工地质勘查院,辽宁,锦州,121000;辽宁省化工地质勘查院,辽宁,锦州,121000;辽宁省化工地质勘查院,辽宁,锦州,121000 |
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| 摘 要： | 根据饱和土单向渗透固结的特殊规律,以外荷一次性施加,初始超静水压u0等于常数,顶面透水,用底部超静水压力u在任意时刻为有限值这个事实,代替底部边界排、隔水条件等简化假定,作为简单情况下太沙基单向固结微分方程的初始和边界条件.对太沙基单向固结微分方程进行拉氏积分变换求解.得到超静水压力u、固结度U、平均固结度U结论式.客观地反映了土层固结过程中u、U、U,随Z、t的变化规律,且形式简洁,使用方便,有效可行.
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| 关 键 词： | 太沙基方程 拉氏积分 土的固结理论 |
| 文章编号： | 1671-1947(2004)02-0126-04 |
| 收稿时间： | 2003-06-25 |
| 修稿时间： | 2003年6月25日 |
THE LAPLACE SOLUTION OF TERZAGHI EQUATION |
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| ZHANG Qi,WANG Sheng zhi,XU Da di.THE LAPLACE SOLUTION OF TERZAGHI EQUATION[J].Geology and Resources,2004,13(2):126-128,108. |
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| Authors: | ZHANG Qi WANG Sheng zhi XU Da di |
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| Institution: | Liaoning Institute of Chemical Geological Survey, Jinzhou 121000, China |
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| Abstract: | The Terzaghi unidirectional consolidation differential equation has long been dominant in the soil consolidation theory and practices.Its classical solution is on the basis of the ideal boundary conditions,which do not accord with those of the common soil layers.Based on the special regularity of the unidirectional permeation and consolidation of saturated soil ,this paper avoids the conditions of drainage and impermeation at the bottom boundary,in a simplified assumption for initial and boundary conditions,to find the alternative Laplace solution for the Terzaghi unidirectional consolidation differential equation.A conclusive formula about the excess hydrostatic pressure u,consolidating degree U and average consolidating degree U is obtained.The analysis and discussion on the solution by corresponding curves have concluded that the assumption for initial and boundary conditions is practical and the conclusive formula objectively reflects the regularity of soil consolidating process. |
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| Keywords: | Terzaghi equation Laplace integral theory on soil consolidation |
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