Reflection of plane seismic waves at the surface of double-porosity dual-permeability materials

Kumar, Manjeet; Kumari, Manjeet; Barak, M. S.

doi:10.1007/s12182-018-0245-y

Cited by 20 publications

(5 citation statements)

References 23 publications

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“…Recently, Gupta and his team 17 – 23 studied the various reflection and deformation problems at the interface of piezothermoelastic medium under different piezothermoelasticity theories. Several researchers, Barak et al 24 and Kumar et al 25 – 27 , verified the energy balance law of incident, reflected and transmitted waves at the interface of various media. Li and his research team 28 – 31 delved into the diverse challenges surrounding the thermo-electromechanical behavior of intricate piezoelectric smart nanocomposite structures by employing the size-dependent piezoelectric thermoelasticity theory and using the Laplace transformation technique.…”

Section: Introductionmentioning

confidence: 99%

Behavior of higher-order MDD on energy ratios at the interface of thermoelastic and piezothermoelastic mediums

Barak,

Ahmad,

Kumar

et al. 2023

Sci Rep

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This paper investigates the intricate energy distribution patterns emerging at an orthotropic piezothermoelastic half-space interface by considering the influence of a higher-order three-phase lags heat conduction law, accompanied by memory-dependent derivatives (referred to as HPS) within the underlying thermoelastic half-space (referred to as TS). This study explores the amplitude and energy ratios of reflected and transmitted waves. These waves span various incident types, including longitudinal, thermal, and transversal, as they propagate through the TS and interact at the interface. Upon encountering the interface, an intriguing dynamic unfolds: three waves experience reflection within the TS medium, while four waves undergo transmission into the HPS medium. A graphical representation effectively illustrates the impact of higher-order time differential parameters and memory to offer comprehensive insights. This visual representation reveals the nuanced fluctuations of energy ratios with the incidence angle. The model astutely captures diverse scenarios, showcasing its ability to interpret complex interface dynamics.

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Section: Introductionmentioning

confidence: 99%

Behavior of higher-order MDD on energy ratios at the interface of thermoelastic and piezothermoelastic mediums

Barak,

Ahmad,

Kumar

et al. 2023

Sci Rep

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“…Lata and her team (Lata and Kaur, 2019; Lata and Singh, 2022; Lata, 2018) investigated the different thermoelastic media issues with nonlocal, magnetic effects. Numerous researchers, including Barak et al and (2017), Kumar and Chawla (2013b), Kumar and Sharma (2017, 2019) and Kumar et al (2018, 2019), obtained the energy distributions at the interface of various media.…”

Section: Introductionmentioning

confidence: 99%

Energy analysis at the interface of piezo/thermoelastic half spaces

Gupta

Kumar²,

Kumar³

et al. 2023

HFF

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Purpose This paper aims to study the energy ratios of plane waves on an interface of nonlocal thermoelastic halfspace (NTS) and nonlocal orthotropic piezothermoelastic half-space (NOPS). Design/methodology/approach The memory-dependent derivatives (MDDs) approach with a hyperbolic two-temperature (HTT), three-phase lag theory is used here to study how the energy ratios change at the interface with the angle of incidence. Findings Plane waves that travel through NTS and hit the interface as a longitudinal wave, a thermal wave, or a transversal wave send four waves into the NOPS medium and three waves back into the NTS medium. The amplitude ratios of the different waves that are reflected and transmitted are used to calculate the energy ratios of the waves. It is observed that these ratios are affected by the HTT, nonlocal and MDD parameters. Research limitations/implications The energy ratios correspond to four distinct models; nonlocal HTT with memory, nonlocal HTT without memory, local HTT with memory and nonlocal classical-two-temperature with memory concerning the angle of incidence from 0 degree to 90 degree. Practical implications This model applies to several fields, including earthquake engineering, soil dynamics, high-energy particle physics, nuclear fusion, aeronautics and other fields where nonlocality, MDD and conductive temperature play an important role. Originality/value The authors produced the submitted document entirely on their initiative, with equal contributions from all of them.

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“…In exploration geophysics and seismology, seismic techniques are used to examine the fluid content of underground reservoirs through the analysis of reflected wave signals. The behaviour of reflection coefficients at the stress-free surface of various porous media has been extensively studied, with notable contributions from researchers such as Sharma and Kumar (2011), Kumar et al (2018), Wang et al (2021), Kumari et al (2022a, 2022b), Kumari and Kumar (2022), Gupta et al (2023) and Kumar et al (2022). These investigations have contributed significantly to understanding the characteristics of reflection phenomena and their applications in geophysics.…”

Section: Introductionmentioning

confidence: 99%

Inhomogeneous waves propagation in double-porosity thermoelastic media

Kumar

Bhagwan

Kaswan

et al. 2023

HFF

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Purpose The purpose of this study is to investigate the reflection of plane waves in a double-porosity (DP) thermoelastic medium. Design/methodology/approach To derive the theoretical formulas for elastic wave propagation velocities through the potential decomposition of wave-governing equations. The boundary conditions have been designed to incorporate the unique characteristics of the surface pores, whether they are open or sealed. This approach provides a more accurate and realistic mathematical interpretation of the situation that would be encountered in the field. The reflection coefficients are obtained through a linear system of equations, which is solved using the Gauss elimination method. Findings The solutions obtained from the governing equations reveal the presence of five inhomogeneous plane waves, consisting of four coupled longitudinal waves and a single transverse wave. The energy ratios of reflected waves are determined for both open and sealed pores on the stress-free, the thermally insulated surface of DP thermoelastic medium. In addition, the energy ratios are compared for the cases of a DP medium and a DP thermoelastic medium. Originality/value A numerical example is considered to investigate the effect of fluid type in inclusions, temperature and inhomogeneity on phase velocities and attenuation coefficients as a function of frequency. Finally, a sensitivity analysis is performed graphically to observe the effect of the various parameters on propagation characteristics, such as propagation/attenuation directions, phase shifts and energy ratios as a function of incident direction in double-porosity thermoelasticity medium.

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Reflection of plane seismic waves at the surface of double-porosity dual-permeability materials

Cited by 20 publications

References 23 publications

Behavior of higher-order MDD on energy ratios at the interface of thermoelastic and piezothermoelastic mediums

Behavior of higher-order MDD on energy ratios at the interface of thermoelastic and piezothermoelastic mediums

Energy analysis at the interface of piezo/thermoelastic half spaces

Inhomogeneous waves propagation in double-porosity thermoelastic media

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