Degeneration and Tranfer of the Displacement-Stress Functions From Poroelastic Layered Media to Elastic Layered Media

DING Bo-yang; CHEN Zhang-long; XU Ting

doi:10.3879/j.issn.1000-0887.2014.02.005

Volume 35 Issue 2

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DING Bo-yang, CHEN Zhang-long, XU Ting. Degeneration and Tranfer of the Displacement-Stress Functions From Poroelastic Layered Media to Elastic Layered Media[J]. Applied Mathematics and Mechanics, 2014, 35(2): 162-180. doi: 10.3879/j.issn.1000-0887.2014.02.005

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Degeneration and Tranfer of the Displacement-Stress Functions From Poroelastic Layered Media to Elastic Layered Media

doi: 10.3879/j.issn.1000-0887.2014.02.005

Zhejiang University of Technology, Hangzhou 310014, P.R.China

Funds: The National Natural Science Foundation of China（11172268）

Received Date: 2013-07-15
Rev Recd Date: 2013-10-30
Publish Date: 2014-02-15

Abstract

Abstract

Based on Biot’s dynamic governing equations, through decoupling of the fast and slow dilational waves, the first-order differential simultaneous equations for the displacement-stress propagation were obtained, which satisfy the kinetics of wave propagation in the multilayer poroelastic saturated media. Both the simultaneous equations and the transfer funtions could be degenerated to those for the multilayer single-phase media. With the displacement-stress continuity conditions at the interface between the poroelastic and single-phase media, the interfacial transitional transfer matrix was established by analysis of the propagation of displacement-stress from the poroelastic medium to the single-phase medium. The 4×6 transfer matrix was derived from the 6×6 transitional transfer matrix of the multilayer poroelastic medium and could be combined with the 4×4 transfer matrix of the single-phase medium. Finally, the degenerated results from the presented method were compared with those from the previous classical wave-propagation models to get good consistency between them. The presented method has merits of simpler calculation and clearer physical sense compared with the classical ones.
- two-phase saturated media,
- single-phase media,
- multilayered media,
- stress-displacement founction,
- transitional transfer matrix,
- degeneration

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References(31)

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