This paper is devoted to the development of semianalytical solutions for the deformation induced by gravitational compaction in sedimentary basins. Formulated within the framework of coupled plasticity–viscoplasticity at large strains, the modeling dedicates special emphasis to the effects of material densification associated with large irreversible porosity changes on the stiffness and hardening of the sediment material. At material level, the purely mechanical compaction taking place in the upper layers of the basin is handled in the context of finite elastoplasticity, whereas the viscoplastic component of behavior is intended to address creep‐like deformation resulting from chemo‐mechanical that prevails at deeper layers. Semianalytical solutions describing the evolution of mechanical state of the sedimentary basin along both the accretion and postaccretion periods are presented in the simplified oedometric setting. These solutions can be viewed as reference solutions for verification and benchmarks of basin simulators. The proposed approach may reveal suitable for parametric analyses because it requires only standard mathematics‐based software for PDE system resolution. The numerical illustrations provide a quantitative comparison between the derived solutions and finite element predictions from an appropriate basin simulator, thus showing the ability of the approach to accurately capture essential features of basin deformation.

中文翻译：

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沉积盆地压实过程参考溶液的配制

本文致力于沉积盆地重力压实变形的半解析解的发展。该模型是在大应变下的可塑性与粘塑性耦合的框架内制定的，它特别强调了与不可逆孔隙率大变化相关的材料致密化对沉积物材料的刚度和硬化的影响。在材料层面，在盆地上层进行的纯机械压实是在有限弹塑性的情况下处理的，而粘塑性行为的目的是解决由化学机械导致的蠕变变形，这种变形在较深层普遍存在。在简化的测压设置中，提供了描述沉积盆地力学状态沿吸积期和吸积期的演变的半解析解。这些解决方案可以看作是盆地模拟器验证和基准测试的参考解决方案。所提出的方法可能揭示出适用于参数分析的方法，因为它只需要用于PDE系统解析的基于标准数学的软件即可。数值插图提供了导出的解和来自适当盆地模拟器的有限元预测之间的定量比较，从而显示了该方法能够准确捕获盆地变形的基本特征的能力。这些解决方案可以看作是盆地模拟器验证和基准测试的参考解决方案。所提出的方法可能揭示出适用于参数分析的方法，因为它只需要用于PDE系统解析的基于标准数学的软件即可。数值插图提供了导出的解与来自适当盆地模拟器的有限元预测之间的定量比较，从而显示了该方法能够准确捕获盆地变形的基本特征的能力。这些解决方案可以看作是盆地模拟器验证和基准测试的参考解决方案。所提出的方法可能揭示出适用于参数分析的方法，因为它只需要用于PDE系统解析的基于标准数学的软件即可。数值插图提供了导出的解和来自适当盆地模拟器的有限元预测之间的定量比较，从而显示了该方法能够准确捕获盆地变形的基本特征的能力。