Characteristics of stress‐dependent properties of rocks are commonly described by empirical laws. It is crucial to establish a universal law that connects rock properties with stress. The present study focuses on exploring the correlations among permeability, porosity, and compressibility observed in experiments. To achieve this, we propose a novel finite strain‐based dual‐component (FS‐DC) model, grounded in the finite strain theory within the framework of continuum mechanics. The FS‐DC model decomposes the original problem into the rock matrix and micro‐pores/cracks components. The deformation gradient tensor is utilized to derive the constitutive relations. One of the novelties is that the stress‐dependent variables are calculated in the current configuration, in contrast to the reference configuration used in small deformation theory. The model has only a few number of parameters, each with specific physical interpretations. It can be reduced to existing models with appropriate simplifications. Then, model performance is examined against experimental data, including permeability, porosity, compressibility, volumetric strain and specific storage. It proves that the variations of these properties are effectively described by the proposed model. Further analysis reveals the effect of pores/cracks parameters. The validity of the FS‐DC model is examined across a broad range of pressures. The results show that rock properties at high confining pressures (300 MPa) differ from those observed under relatively low pressures (200 MPa). This disparity can be attributed to inelastic behaviors of micro‐structure, wherein the rock skeleton undergoes permanent deformation and breakage.

中文翻译：

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解释岩石应力相关的渗透率、孔隙度和压缩性的相关性：有限应变理论的观点

岩石的应力相关特性的特征通常通过经验定律来描述。建立将岩石特性与应力联系起来的普遍规律至关重要。本研究的重点是探索实验中观察到的渗透率、孔隙度和压缩率之间的相关性。为了实现这一目标，我们提出了一种新颖的基于有限应变的双分量（FS-DC）模型，该模型以连续介质力学框架内的有限应变理论为基础。FS-DC模型将原始问题分解为岩石基体和微孔/裂缝成分。利用变形梯度张量来推导本构关系。新颖之处之一是，与小变形理论中使用的参考配置相比，应力相关变量是在当前配置中计算的。该模型只有少数参数，每个参数都有特定的物理解释。通过适当的简化，可以将其简化为现有模型。然后，根据实验数据检查模型性能，包括渗透率、孔隙率、压缩率、体积应变和比存储。它证明所提出的模型有效地描述了这些属性的变化。进一步的分析揭示了孔隙/裂缝参数的影响。FS-DC 模型的有效性在广泛的压力范围内进行了检验。结果表明，高围压（300 MPa）下的岩石性质与相对较低压力（200 MPa）下观察到的岩石性质不同。这种差异可归因于微观结构的非弹性行为，其中岩石骨架经历永久变形和断裂。