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Solution of a Green's function for a saturated porous medium in a half-space subjected to a torsional force

Earthquake Engineering and Engineering Vibration 2012年第1期11卷 133-138页

作者： Ding Boyang Chen Jun Ouyang Ming College of Civil Engineering and Architecture Zhejiang University of TechnologyHangzhou 310014China

Based on the solutions of the Green＇s function for a saturated porous medium obtained by the authors, and using transformation of axisymmetric coordinates, sommerfeld integrals and superposition of the influence field on a free surface, the authors have obtained displacement solutions of a saturated porous medium subjected to a torsional force in a half-space. The relationship curves of the displacement solutions and various parameters （permeability, frequency, etc.） under action of a unit of torque are also given in this paper. The results are consistent with previous Reissner＇s solutions, where a two-phase medium decays to a single-phase medium. The solution is useful in solving relevant dynamic problems of a two- phase saturated medium in engineering.

关键词： torsional force saturated porous medium Green's function half-space sommerfeld integrals

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Recursive algorithm and accurate computation of dyadic Green's functions for stratified uniaxial anisotropic media

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Science in China(Series F) 2008年第1期51卷 63-80页

作者： WEI BaoJun ZHANG GengJi LIU QingHuo Faculty of Physical Science and Technology China University of Petroleum Dongying 257061 China Department of Electrical & Computer Engineering Duke university Durham NC27708 USA

A recursive algorithm is adopted for the computation of dyadic Green＇s functions in three-dimensional stratified uniaxial anisotropic media with arbitrary number of layers. Three linear equation groups for computing the coefficients of the sommerfeld integrals are obtained according to the continuity condition of electric and magnetic fields across the interface between different layers, which are in correspondence with the TM wave produced by a vertical unit electric dipole and the TE or TM wave produced by a horizontal unit electric dipole, respectively. All the linear equation groups can be solved via the recursive algorithm. The dyadic Green＇s functions with source point and field point being in any layer can be conveniently obtained by merely changing the position of the elements within the source term of the linear equation groups. The problem of singularities occurring in the sommerfeld integrals is efficiently solved by deforming the integration path in the complex plane. The expression of the dyadic Green＇s functions provided by this paper is terse in form and is easy to be programmed, and it does not overflow. Theoretical analysis and numerical examples show the accuracy and effectivity of the algorithm.

关键词： dyadic Green's functions stratified uniaxial anisotropic media recursive algorithm sommerfeld integrals

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