Theorical Calculations and Verification of Spherical Cavity Grouting Based on Generalized SMP Strength Criterion
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摘要: 采用广义SMP强度准则理论,结合非相关联流动法则、土体弹塑性交界面上的边界条件和土体体积守恒定律,推导了不排水条件下球孔扩张弹塑性区的应力场、应变场和扩孔压力的解析式,并将其应用于地层注浆中,得到了在注浆过程中土体发生劈裂破坏时的注浆压力解析表达式。将该解析解与已有文献中球孔扩张理论解对比验证并进行了参数分析。最后,利用隧道注浆模型试验注浆压力实测值与理论值进行对比,结果表明:黏聚力、剪胀角和扩孔半径对劈裂注浆压力值影响较大,实际注浆压力值与劈裂注浆理论计算值较为吻合。Abstract: Based on the generalized SMP strength criterion theory, combined with the non-associated flow law, the boundary conditions between the elastic-plastic interface of soil and the conservation law of soil volumes, the analytical expressions of stress fields, strain fields and pore expansion pressure in the elastic-plastic zone of spherical cavity expansion in undrained conditions were derived and applied to stratum grouting. The grouting pressure expression of analytical solutions in splitting failure of soil during grouting was obtained. The solution was compared with the theoretical solution of spherical cavity expansions in the existing literatures,simultaneously, parameter analysis was performed. Finally, comparisons between the measured values of grouting pressure by a tunnel grouting model test and theoretical values were conducted. The results indicated that cohesive force, shear expansion angles and expansion radii had great influences on splitting grouting pressure values. The actual grouting pressures were consistent with theoretical calculation values of splitting grouting.
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