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首页> 外文期刊>Nonlinear processes in geophysics >Extracting real-crack properties from non-linear elastic behaviour of rocks: abundance of cracks with dominating normal compliance and rocks with negative Poisson ratios
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Extracting real-crack properties from non-linear elastic behaviour of rocks: abundance of cracks with dominating normal compliance and rocks with negative Poisson ratios

机译：从岩石的非线性弹性行为中提取实裂缝特性：以法向柔度为主的大量裂纹和具有负泊松比的岩石

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摘要

Results of examination of experimental data on non-linear elasticity of rocks using experimentally determined pressure dependences of P- and S-wave velocities from various literature sources are presented. Overall, over 90 rock samples are considered. Interpretation of the data is performed using an effective-medium description in which cracks are considered as compliant defects with explicitly introduced shear and normal compliances without specifying a particular crack model with an a priori given ratio of the compliances. Comparison with the experimental data indicated abundance (～?80?%) of cracks with the normal-to-shear compliance ratios that significantly exceed the values typical of conventionally used crack models (such as penny-shaped cuts or thin ellipsoidal cracks). Correspondingly, rocks with such cracks demonstrate a strongly decreased Poisson ratio including a significant (～?45?%) portion of rocks exhibiting negative Poisson ratios at lower pressures, for which the concentration of not yet closed cracks is maximal. The obtained results indicate the necessity for further development of crack models to account for the revealed numerous examples of cracks with strong domination of normal compliance. Discovering such a significant number of naturally auxetic rocks is in contrast to the conventional viewpoint that occurrence of a negative Poisson ratio is an exotic fact that is mostly discussed for artificial structures.
机译：给出了使用各种文献来源的实验确定的P波和S波速度的压力相关性来检验岩石非线性弹性的实验数据的结果。总体而言，考虑了90多个岩石样品。数据的解释是使用有效介质描述执行的，其中裂纹被视为具有明确引入的剪切和法向柔量的柔顺缺陷，而无需指定具有先验给定柔度比的特定裂纹模型。与实验数据的比较表明，裂纹的丰度（〜80％），其法向剪切顺应比大大超过了常规裂纹模型的典型值（例如，便士形切口或椭圆形细裂纹）。相应地，具有这种裂纹的岩石的泊松比大大降低，其中很大一部分（〜？45？％）的岩石在较低压力下表现出负的泊松比，而尚未闭合的裂纹的浓度最大。获得的结果表明，有必要进一步开发裂缝模型，以解决所揭示的众多具有正常支配力强的裂缝实例。发现如此大量的自然膨胀岩石与传统观点相反，传统观点认为负泊松比的出现是一个奇特的事实，大多数讨论是针对人工结构。

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