注浆抬升位移的随机介质理论预测方法

根据随机介质理论，浆泡由许多无限小的微元组成，假设浆泡膨胀对地表的影响可以等效为许多微元体膨胀对地表的影响总和，土体抬升量等于注浆前与注浆后浆泡引起的地表抬升值之差，建立了单孔注浆抬升量的随机介质预测模型；假设多孔注浆抬升位移为单孔注浆抬升位移的线性叠加，建立了多孔注浆抬升量的随机介质预测模型。数值模拟、现场实测结果与理论预测结果的对比分析结果表明：单孔注浆的随机介质理论预测模型可以有效地预测地表抬升位移，多孔注浆的随机介质理论预测模型与实际结果有一定的偏差，但满足工程应用要求。

Study on grouting uplift displacement prediction using stochastic medium theory

According to the stochastic medium theory, the slurry bubble is made up of numerians infinitesimal el- ements and the ground movement the impact of the slurry bubble explansion on is equal to the sum of the move- ment due to each elemental expansion. Soil uplift should be the difference between surface uplift value caused by slurry bubble volume before grouting and the one after grouting. Uplift prediction model with stochastic medium theory of the single - hole grouting was established. Uplift prediction model of the porous holes grouting was es- tablished with the assumption that uplift displacement of the porous holes grouting is the linear superposition of the single - hole grouting ones. The comparison among numerical simulation and field data and theoretical results proves the reliability of the uplift prediction model with stochastic medium theory of the single - hole grouting. Uplift prediction model of the porous holes grouting has a certain deviation from the actual data, but meets the re- quirement of engineering application.