Displacements and stress associated with localized and distributed inelastic deformation with piecewise-constant elastic variations
Displacements and stress associated with localized and distributed inelastic deformation with piecewise-constant elastic variations
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与分段恒定弹性变化的局部和分布式非弹性变形相关的位移和应力
DOI：
10.1093/gji/ggac046
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发表时间：
2022
影响因子：
2.8
通讯作者：
Dye SK Sato and James Daniel Paul Moore
中科院分区：
文献类型：
--
作者：
D. S sato;Y. Fukahata;and Y. Nozue;Dye SK Sato and James Daniel Paul Moore
给出了非均匀弹性全空间和半空间中局部(如断层)和分布(体积)非弹性变形引起的位移、应变和应力的半解析方法和表达式。与传统的多区域方法一样，弹性性能的变化被视为分段恒定的齐次子区域。通过匹配界面牵引力和位移条件，对比弹性参数，求解子区域的变形。在有界体积的表示定理中，我们证明了卷积边界牵引力积方程与卷积位移间断和体积非弹性应变的等价性。这种等价性允许我们用虚断层位移元或体积特征应变元来表示由这些子区域组成的半空间/全空间中的变形场，其积分核具有已知的齐次体中有限源的解析形式。我们包含了实现我们的方法的计算机程序，这些程序具有没有主要奇点的齐次体积的已知解析解。我们扩展了现有的可用于形变场观测和理论分析的工具包，使用户能够模拟不同的地质结构，并具有一些主要的地球物理应用，包括地震和火山变形，在这些应用中，弹性参数的变化可能对观测到的变形有很大贡献。
We present a semi-analytical method and expressions for computing the displacements, strains and stress due to localized (e.g. faulting) and distributed (volumetric) inelastic deformation in heterogeneous elastic full- and half-spaces. Variations in elastic properties are treated as piecewise-constant homogeneous subregions as in orthodox multiregion approaches. The deformation in the subregions is solved by matching the interface traction and displacement conditions for contrasting elastic parameters. We show equivalence between the integral equation convolving boundary traction and those convolving displacement discontinuities and volumetric inelastic strain in the representation theorem for a bounded volume. This equivalence allows us to express the deformation fields in the half-/full-space which comprises those subregions by using virtual fault displacement elements or volumetric eigenstrain elements, the integral kernels of which have known analytic forms for finite sources in homogeneous volumes. We include computer programs that implement our method with known analytic solutions of homogeneous volumes free of major singular points. We provide an extension to the existing toolkit available for the observational and theoretical analyses of deformation fields allowing users to model heterogeneous geological structures, with a number of primary geophysical applications, including earthquake and volcano deformation, where variations in elastic parameters may present a substantial contribution to the observed deformation.