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具有无限渗透率的多孔弹性介质中的球面波传播:时域解

Spherical wave propagation in a poroelastic medium with infinite permeability: time domain solution.

作者信息

Ozyazicioglu Mehmet

机构信息

Department of Civil Engineering, Ataturk University, 25240 Erzurum, Turkey.

出版信息

ScientificWorldJournal. 2014 Feb 18;2014:813097. doi: 10.1155/2014/813097. eCollection 2014.

DOI:10.1155/2014/813097
PMID:24701190
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3948613/
Abstract

Exact time domain solutions for displacement and porepressure are derived for waves emanating from a pressurized spherical cavity, in an infinitely permeable poroelastic medium with a permeable boundary. Cases for blast and exponentially decaying step pulse loadings are considered; letter case, in the limit as decay constant goes to zero, also covers the step (uniform) pressure. Solutions clearly show the propagation of the second (slow) p-wave. Furthermore, Biot modulus Q is shown to have a pronounced influence on wave propagation characteristics in poroelastic media. Results are compared with solutions in classical elasticity theory.

摘要

对于在具有渗透边界的无限渗透多孔弹性介质中,由加压球形空腔产生的波,推导了位移和孔隙压力的精确时域解。考虑了爆炸和指数衰减阶跃脉冲载荷的情况;在衰减常数趋于零的极限情况下,字母情况也涵盖了阶跃(均匀)压力。解清楚地显示了第二(慢)纵波的传播。此外,毕奥模量Q对多孔弹性介质中的波传播特性有显著影响。将结果与经典弹性理论中的解进行了比较。

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