Reflection and refraction of plane waves at the boundary of an elastic solid and double-porosity dual-permeability materials
Abstract Phenomena of reflection and refraction of plane harmonic waves at a plane interface between an elastic solid and double-porosity dual-permeability material are investigated. The elastic solid behaves non-dissipatively, while double-porosity dual-permeability materials behave dissipatively t...
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KeAi Communications Co., Ltd.
2019
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oai:doaj.org-article:aa7b252abcf5469892d0e621a1ca6a792021-12-02T06:24:53ZReflection and refraction of plane waves at the boundary of an elastic solid and double-porosity dual-permeability materials10.1007/s12182-018-0289-z1672-51071995-8226https://doaj.org/article/aa7b252abcf5469892d0e621a1ca6a792019-01-01T00:00:00Zhttp://link.springer.com/article/10.1007/s12182-018-0289-zhttps://doaj.org/toc/1672-5107https://doaj.org/toc/1995-8226Abstract Phenomena of reflection and refraction of plane harmonic waves at a plane interface between an elastic solid and double-porosity dual-permeability material are investigated. The elastic solid behaves non-dissipatively, while double-porosity dual-permeability materials behave dissipatively to wave propagation due to the presence of viscosity in pore fluids. All the waves (i.e., incident and reflected) in an elastic medium are considered as homogeneous (i.e., having the same directions of propagation and attenuation), while all the refracted waves in double-porosity dual-permeability materials are inhomogeneous (i.e., having different directions of propagation and attenuation). The coefficients of reflection and refraction for a given incident wave are obtained as a non-singular system of linear equations. The energy shares of reflected and refracted waves are obtained in the form of an energy matrix. A numerical example is considered to calculate the partition of incident energy among various reflected and refracted waves. The effect of incident direction on the partition of the incident energy is analyzed with a change in wave frequency, wave-induced fluid-flow, pore-fluid viscosity and double-porosity structure. It has been confirmed from numerical interpretation that during the reflection/refraction process, conservation of incident energy is obtained at each angle of incidence.M. KumarM. S. BarakM. KumariKeAi Communications Co., Ltd.articlePlane harmonic waveDouble-porosity dual-permeabilityReflection/refraction coefficientsEnergy shareElastic solidScienceQPetrologyQE420-499ENPetroleum Science, Vol 16, Iss 2, Pp 298-317 (2019) |
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DOAJ |
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DOAJ |
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EN |
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Plane harmonic wave Double-porosity dual-permeability Reflection/refraction coefficients Energy share Elastic solid Science Q Petrology QE420-499 |
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Plane harmonic wave Double-porosity dual-permeability Reflection/refraction coefficients Energy share Elastic solid Science Q Petrology QE420-499 M. Kumar M. S. Barak M. Kumari Reflection and refraction of plane waves at the boundary of an elastic solid and double-porosity dual-permeability materials |
| description |
Abstract Phenomena of reflection and refraction of plane harmonic waves at a plane interface between an elastic solid and double-porosity dual-permeability material are investigated. The elastic solid behaves non-dissipatively, while double-porosity dual-permeability materials behave dissipatively to wave propagation due to the presence of viscosity in pore fluids. All the waves (i.e., incident and reflected) in an elastic medium are considered as homogeneous (i.e., having the same directions of propagation and attenuation), while all the refracted waves in double-porosity dual-permeability materials are inhomogeneous (i.e., having different directions of propagation and attenuation). The coefficients of reflection and refraction for a given incident wave are obtained as a non-singular system of linear equations. The energy shares of reflected and refracted waves are obtained in the form of an energy matrix. A numerical example is considered to calculate the partition of incident energy among various reflected and refracted waves. The effect of incident direction on the partition of the incident energy is analyzed with a change in wave frequency, wave-induced fluid-flow, pore-fluid viscosity and double-porosity structure. It has been confirmed from numerical interpretation that during the reflection/refraction process, conservation of incident energy is obtained at each angle of incidence. |
| format |
article |
| author |
M. Kumar M. S. Barak M. Kumari |
| author_facet |
M. Kumar M. S. Barak M. Kumari |
| author_sort |
M. Kumar |
| title |
Reflection and refraction of plane waves at the boundary of an elastic solid and double-porosity dual-permeability materials |
| title_short |
Reflection and refraction of plane waves at the boundary of an elastic solid and double-porosity dual-permeability materials |
| title_full |
Reflection and refraction of plane waves at the boundary of an elastic solid and double-porosity dual-permeability materials |
| title_fullStr |
Reflection and refraction of plane waves at the boundary of an elastic solid and double-porosity dual-permeability materials |
| title_full_unstemmed |
Reflection and refraction of plane waves at the boundary of an elastic solid and double-porosity dual-permeability materials |
| title_sort |
reflection and refraction of plane waves at the boundary of an elastic solid and double-porosity dual-permeability materials |
| publisher |
KeAi Communications Co., Ltd. |
| publishDate |
2019 |
| url |
https://doaj.org/article/aa7b252abcf5469892d0e621a1ca6a79 |
| work_keys_str_mv |
AT mkumar reflectionandrefractionofplanewavesattheboundaryofanelasticsolidanddoubleporositydualpermeabilitymaterials AT msbarak reflectionandrefractionofplanewavesattheboundaryofanelasticsolidanddoubleporositydualpermeabilitymaterials AT mkumari reflectionandrefractionofplanewavesattheboundaryofanelasticsolidanddoubleporositydualpermeabilitymaterials |
| _version_ |
1718399955654148096 |