Abstract The nuclear waste disposal project involves thermo-mechanical interactions in rock induced by buried decaying heat sources. To satisfy the condition of zero stress on ground surface, mirror heat sinks and boundary solutions are used. Specifically, mirror heat sinks are aimed at removing normal tractions at ground surface generated by heat sources, and boundary solutions are intended for handling residual tangential stresses on ground surface caused by heat sinks and heat sources. Multitudes of rectangles are employed to discretize the ground surface. Under the assumption of evenly distributed shear loads over a rectangular element, an analytical formula about the influence coefficient is derived. Simplifying cylindrical canister heat sources into finite line ones, a repository-scale model for evaluating the thermo-elastic response of rock is proposed. Given a conceptual nuclear waste repository, the temperature increment, thermal stress and displacement of surrounding rock are investigated. The results demonstrate that the present model provides an efficient tool to analyze the thermo-mechanical response of a geologic repository with different heat loading patterns.

中文翻译：

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具有埋藏衰变热源的半无限空间三维热弹性边界元的形成

摘要 核废料处理项目涉及由埋藏的衰变热源引起的岩石中的热机械相互作用。为满足地面零应力条件，采用镜面散热片和边界解法。具体而言，镜面散热器旨在消除热源在地表上产生的法向牵引力，边界解决方案旨在处理由散热器和热源引起的地表残余切向应力。使用多个矩形来离散化地面。在矩形单元上均匀分布剪切载荷的假设下，推导出影响系数的解析公式。将圆柱筒热源简化为有限线热源，提出了一种用于评估岩石热弹性响应的库级模型。给定一个概念性核废料储存库，研究了围岩的温度增量、热应力和位移。结果表明，本模型提供了一种有效的工具来分析具有不同热负荷模式的地质储存库的热机械响应。