On formulation of a transition matrix for electroporoelastic medium and application to analysis of scattered seismoelectric wave
Date Issued
2007
Date
2007
Author(s)
Chen, Szu-Miau
DOI
zh-TW
Abstract
On the basis of Pride’s theory (1994), which couples Biot’s theory for poroelastic medium (1956) and Maxwell equations via flux/force transport equations, we extend Pao (1978) and Yeh et al. (2004) approaches for elastic medium and poroelastic medium, respectively, to develop a transition matrix for electroporoelastic medium. During the process of derivation, we decouple our motion equations into two parts; one is dilatational (longitudinal) wave and the other is rotational (transverse) wave. The above mentioned longitudinal wave includes the fast wave and slow wave components. Regarding with transverse wave, it includes shear wave and electromagnetic wave. In this thesis, we also utilize the Wronskian formula to prove that our analytical base functions have orthogonality. To illustrate the application, we consider a simple case of the scattering problem of a spherical electroporoelastic inclusion, embedded within the surrounding electroporoelastic medium subjected to an incident plane compressional wave.
Subjects
震電波
T-矩陣
seismoelectric wave
transition matrix
Type
thesis
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