Displacement and Stress Associated with Distributed Anelastic Deformation in a Half‐Space
Moore, James Daniel Paul
Earth Observatory of Singapore
We present a suite of analytical and semianalytical solutions for the displacements, strains, and stress due to distributed anelastic deformation of finite strain volumes in a half‐space for cuboid sources. We provide the solutions in the cases of antiplane strain, plane strain, and 3D deformation. These expressions represent powerful tools for the analysis of deformation data to image distributed strain in the Earth’s interior and for the dynamic modeling of distributed deformation off faults, including thermoelasticity, poroelasticity, and viscoelasticity. We include computer programs that evaluate these expressions free of major singular points. Combined with formulas that describe the deformation around faults, these solutions represent a comprehensive description of quasi‐static deformation throughout the earthquake cycle within the lithosphere–asthenosphere system.
Bulletin of the Seismological Society of America
© 2017 Seismological Society of America (SSA). This paper was published in Bulletin of the Seismological Society of America and is made available as an electronic reprint (preprint) with permission of Seismological Society of America (SSA). The published version is available at: [http://dx.doi.org/10.1785/0120160237]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.