Analytical and numerical models of viscous anisotropy: A toolset to constrain the role of mechanical anisotropy for regional tectonics and fault loading

IF 2.8 3区 地球科学 Q2 GEOCHEMISTRY & GEOPHYSICS
Dunyu Liu, Simone Puel, Thorsten W Becker, Louis Moresi
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引用次数: 0

Abstract

Summary To what extent mechanical anisotropy is required to explain the dynamics of the lithosphere is an important yet unresolved question. If anisotropy affects stress and deformation, and hence processes such as fault loading, how can we quantify its role from observations? Here, we derive analytical solutions and build a theoretical framework to explore how a shear zone with linear anisotropic viscosity can lead to deviatoric stress heterogeneity, strain-rate enhancement, as well as non-coaxial principal stress and strain rate. We develop an open-source finite-element software based on FEniCS for more complicated scenarios in both 2-D and 3-D. Mechanics of shear zones with transversely isotropic and orthorhombic anisotropy subjected to misoriented shortening and simple shearing are explored. A simple regional example for potential non-coaxiality for the Leech River Schist above the Cascadia subduction zone is presented. Our findings and these tools may help to better understand, detect, and evaluate mechanical anisotropy in natural settings, with potential implications including the transfer of lithospheric stress and deformation through fault loading.
粘性各向异性的分析和数值模型:制约机械各向异性对区域构造和断层加载作用的工具集
摘要 在多大程度上需要机械各向异性来解释岩石圈的动力学是一个重要但尚未解决的问题。如果各向异性会影响应力和变形,进而影响断层加载等过程,那么我们如何从观测结果中量化其作用?在此,我们推导出分析解,并构建了一个理论框架,以探讨具有线性各向异性粘度的剪切带如何导致偏离应力异质性、应变率增强以及非同轴主应力和应变率。我们在 FEniCS 的基础上开发了一款开源有限元软件,用于二维和三维更复杂的情况。我们探讨了横向各向同性和正交各向异性剪切带受到错向缩短和简单剪切的力学情况。介绍了卡斯卡迪亚俯冲带上方利奇河片岩潜在非同轴性的一个简单区域实例。我们的发现和这些工具可能有助于更好地理解、检测和评估自然环境中的力学各向异性,其潜在影响包括岩石圈应力的传递和通过断层加载产生的变形。
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来源期刊
Geophysical Journal International
Geophysical Journal International 地学-地球化学与地球物理
CiteScore
5.40
自引率
10.70%
发文量
436
审稿时长
3.3 months
期刊介绍: Geophysical Journal International publishes top quality research papers, express letters, invited review papers and book reviews on all aspects of theoretical, computational, applied and observational geophysics.
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