Deformation of an infinite elastic cone due to a point pressure source buried on the axis: implications to volcanic deformation
Deformation of an infinite elastic cone due to a point pressure source buried on the axis: implications to volcanic deformation
复制标题
由于埋在轴上的点压力源导致无限弹性锥体的变形：对火山变形的影响
DOI：
10.1093/gji/ggac379
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发表时间：
2023
影响因子：
2.8
通讯作者：
R. Nishiyama
中科院分区：
文献类型：
--
作者：
R. Nishiyama
本文给出了无限大弹性圆锥在轴上埋有点压力源作用下的变形的半解析解。该解决方案是基于由爱在球坐标系中开发的位移势，并解决了作为一个边值问题的圆锥表面上使用梅林变换的技术。逆梅林变换的数值积分产生各种锥角的解决方案。锥角α = 90°时的位移计算结果与著名的Mogi无限半空间解一致。本工作将有助于解释火山与陡峭地形的变形和验证其他数值方法。
This paper presents a semi-analytical solution describing the deformation of an infinite elastic cone due to a point pressure source buried on the axis. The solution is based on the displacement potentials developed by Love in the spherical coordinate system and is solved as a boundary value problem given on the cone surface using the techniques of Mellin transform. Numerical integration of the inverse Mellin transform yields solutions for various cone angles. The displacements calculated for the cone angle α = 90° are confirmed to agree with the well-known Mogi’s solution for the infinite half-space. The present work will be useful for interpretation of the deformation of volcanoes with steep topography and for verification of other numerical methods.