隧道开挖引起的深层土体水平位移的简化分析方法

多数国内学者重点研究了地铁隧道开挖引起的土层沉降的规律,但对于其水平位移的规律研究甚少,且工程中获取任意深度土层的水平位移实测数据比较困难。目前已有的土层沉降的计算公式较多,由于经典的Peck经验公式相对于Mindlin弹性理论解、随机介质理论、源汇理论的积分解而言,计算公式简单,且在国内有较强的适用性。考虑岩土体的不可压缩性,基于平面应变原理,利用Peck沉降公式通过推导得到隧道任意土层的沿其横断面的水平位移计算表达式,通过与已有工程案例进行比对,验证了公式的适用性,为相关的工程预测水平位移提供了简单快速的分析方法。

Analysis of Horizontal Displacement of Soil under the Earth Surface Induced by Tunnel Excation

The laws of soil settlement induced by metro tunnel excavation are studied by most of the domestic scholars , hower the horizontal displacement laws are paid less attention . Moreover it is more difficult to get the horizontal displacement of the soil under the earth surface by the field measure. As we know , there are many existing calculation formulas for the soil settlement,such as , the classic Peck empirical formula , the Mindlin elastic theory, the stochastic medium theory, the image theory etc. By analyzing the mathods , firstly the classic Peck empirical calculation formula is simple and have strong applicability in the construction . Secondly based on the principle of plane strain Peck settlement formula is used to get the horizontal displacement of soil under the earth surface by considering the incompressibility of rock and soil. Lastly by comparing with the existing engineering case, the applicability of the formula is verified and it provides the simple and rapid analysis for the related engineering predictionto the horizontal displacement of soil under the surface .