The behavior of long-term deformation of saturated soil under external loads has been one of the research focuses in geological engineering and geotechnical engineering. The temperature change, especially in the fields of geological radioactive waste disposal and geothermal system, usually significantly influence the consolidation and creep process of soils. This paper presents an analytical three-dimensional (3D) model for investigating the consolidation and creep behavior of layered soils considering temperature effect. Based on the analytical layer element elastic solution, fractional calculus theory and elastic-viscoelastic correspondence principle, an analytical 3D model is built by introducing the coefficients of thermal expansion and viscosity varying with temperature into the fractional Merchant model (FMM). Verifications against published analytical and numerical results are provided, followed by extensive parametric studies to investigate the effects of type of viscoelastic model, temperature change, fractional order and viscosity of FMM, layered characteristic of soils on consolidation and creep process. It’s evident that the present model predicts long-term behavior of layered viscoelastic soils well and can be used to evaluate the effect of temperature change on consolidation and creep process in geological engineering and geotechnical engineering.

饱和土在外荷载作用下的长期变形行为一直是地质工程和岩土工程的研究热点之一。温度变化，特别是在地质放射性废物处理和地热系统领域，通常会显着影响土壤的固结和蠕变过程。本文提出了一个分析三维 (3D) 模型，用于研究考虑温度效应的层状土的固结和蠕变行为。基于解析层元弹性解、分数阶微积分理论和弹粘弹性对应原理，将随温度变化的热膨胀系数和黏度系数引入分数阶Merchant模型（FMM），建立解析3D模型。提供了针对已发表的分析和数值结果的验证，然后进行了广泛的参数研究，以研究粘弹性模型类型、温度变化、FMM 的分数阶和粘度、土壤的分层特性对固结和蠕变过程的影响。很明显，本模型很好地预测了层状粘弹性土的长期行为，可用于评估温度变化对地质工程和岩土工程中固结和蠕变过程的影响。