Garvin’s generalized problem revisited
Garvin’s generalized problem revisited
复制标题
DOI：
10.1016/j.soildyn.2012.11.006
复制
发表时间：
2013-04
影响因子：
4
通讯作者：
F. Sánchez-Sesma;U. Iturrarán-Viveros;E. Kausel
中科院分区：
文献类型：
--
作者：
F. Sánchez-Sesma;U. Iturrarán-Viveros;E. Kausel
Garvin问题是理论地震学中最经典的问题之一，它研究的是弹性半空间在爆炸线源作用下的响应。然而，Garvin（埋线源问题的精确瞬态解。Proceedings of the皇家学会伦敦，Series A 1956;528-541[4]）他自己只提供了半空间自由表面上点的解。尽管Alterman和Loewenthal在将近十年半之后给出了半空间内部点的严格扩展（弹性半空间脉冲运动的代数表达式。Israel Journal of Technology 1969; 7（6）：495-504[1]），这些科学家在一个发行量相当有限的技术期刊上发表了他们的论文，因此他们的完整解决方案在很大程度上没有被地球物理和土壤动力学界所注意。本文重温了Garvin的广义问题，提出了一个简洁的再现和总结，以及一个非常有效和准确的简化，并检查了一对埋源接收器位置的响应特性。它还包括一个紧凑和非常有效的Matlab程序进行评估。
One of the great classical problems in theoretical seismology is Garvin’s problem, which deals with the response of an elastic half-space subjected to a blast line source applied in its interior. However, Garvin (Exact transient solution of the buried line source problem. Proceedings of the Royal Society of London, Series A 1956;528–541[4]) himself provided only the solution for points on the free surface of the half-space. Although a rigorous extension to points in the interior of the half-space was given nearly decade-and-a-half later by Alterman and Loewenthal (Algebraic expressions for the impulsive motion of an elastic half-space. Israel Journal of Technology 1969; 7 (6):495–504[1]), these scientists published their paper in a technical journal of rather restricted circulation, as a result of which their complete solution remained largely unnoticed by the geophysical and soil dynamics communities. This article revisits Garvin’s generalized problem, presents a concise rendition and summary together with a very effective and accurate simplification, and examines the response characteristics for a pair of buried source-receiver location. It also includes a compact and very effective Matlab program for its evaluation.