American Society of Civil Engineers


Linear and Nonlinear Waves in Porous Media Filled with Electrolyte


by Ashot V. Shekoyan, (Senior Scientist, Institute of Mechanics NAS, Baghramyan 24b, Yerevan, 375019, Armenia E-mail: ashotshek@mechins.sci.am) and Alexandr G. Bagdoev, (Senior Scientist, Institute of Mechanics NAS, Baghramyan 24b, Yerevan, 375019, Armenia)
Section: Mini-Symposium on Advances in Geotechnics: Testing, Modeling and Simulation — Modeling, pp. 1-5, (doi:  http://dx.doi.org/10.1061/40917(236)22)

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Document type: Conference Proceeding Paper
Part of: Advances in Measurement and Modeling of Soil Behavior
Abstract: Linear and nonlinear acousto-electric waves in porous solids in the presence of an electric field are investigated. The pores are filled with an electro-conductive liquid. The resulting self-consistent problem is solved while all the factors accompanying the wave being taken into account. Formulae for the wave’s linear and nonlinear speeds and absorbtion coefficients are derived. Both 1-dimensional and 3-dimensional cases have been considered. Nonlinear evolutionary and Schrodinger equations are derived. Their solutions are obtained and investigated in detail. It is shown that there can be soliton-shaped waves in the medium.


ASCE Subject Headings:
Nonlinear response
Waves
Soil properties
Porous media