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针对高放射核废深地质处置库近场环境,建立分布热源作用下饱和裂隙岩体三维水流-传热过程中位移和应力的一种半解析计算方法:采用Goodier热弹性位移势和Laplace变换计算由温度梯度产生的温梯位移和应力;考虑单一裂隙的情况,利用经典弹性力学的Boussinesq解和Cerruti解计算为满足边界条件的约束位移和应力,与温梯位移和应力叠加,可得总体热位移和应力;把裂隙面离散为矩形单元集合,采用极坐标系下的解析法计算包含奇点的单元积分,采用数值法计算与分布热源有关和不含奇点的单元积分。与基于裂隙面法向一维热传导假设的一种解析解对比,结果表明,半解析法与解析法的计算结果基本一致,但由于半解析法考虑岩石的三维热传导,因温度时空分布和演变的不同而导致不同的温梯应力。针对一个假想单裂隙岩体三维水流-传热过程,计算温梯位移和应力、约束位移和应力、总体位移和应力;结果表明,裂隙水流-传热可能对位移和应力的分布和演变有显著影响,距离分布热源较近的岩石因升温膨胀受到约束而出现压应力,而距离分布热源较远的岩石则可能因协调收缩受到约束而出现拉应力。
Aiming at the near-field environment of high-radiation nuclear waste deep geological repository, a semi-analytic calculation method of displacement and stress in water-heat transfer process of saturated fractured rock mass under the action of distributed heat source was established. The calculated results were based on Goodier thermoelastic displacement potential and Laplace transform Temperature gradient displacement and stress caused by temperature gradient. Taking into account the situation of a single crack, using the classical Boussinesq solution and Cerruti solution of elastic mechanics to calculate the constraint displacement and stress to meet the boundary conditions, and the thermal gradient and stress superposition, the overall heat Displacement and stress of the fracture surface are discretized as a set of rectangular elements. The unit integral containing the singular points is calculated by the analytic method under the polar coordinate system, and the unit integrals related to the distributed heat source and not containing the singular points are calculated by numerical method. Compared with an analytical solution based on the assumption of one-dimensional heat conduction in the normal direction of the fracture surface, the results show that the calculated results of the semi-analytical method and analytical method are basically consistent. However, due to the semi-analytical method considering the three-dimensional heat conduction of rocks, Different leads to different temperature ladder stress. Aiming at the three-dimensional water flow-heat transfer process of an imaginary single fractured rock mass, the displacement and stress of the temperature ladder, the displacement and stress of constraint, the overall displacement and stress are calculated. The results show that the distribution and evolution of displacement and stress may be significant The rock near the heat source with the distribution of heat stress is restrained by the compressive stress while the rock with the heat source at the far distance from the heat source is restrained by the coordinated shrinkage and tensile stress occurs.