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1

Reflection and transmission at the boundary surface of modified couple stress thermoelastic media

Kumar R., Kumar K.

International Journal of Applied Mechanics and Engineering

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2016

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Vol. 21, no. 1

61--81

EN

In this paper the reflection and transmission at a plane interface in modified couple stress generalized thermoelastic solid half spaces in the context of Loard-Shulman (LS) and Green-Lindsay (GL) theories in welded contact are investigated. Amplitude ratios of various reflected and transmitted waves are obtained due to incidence of a set of coupled longitudinal waves and coupled transverse waves. It is found that the amplitude ratios of various reflected and transmitted waves are functions of the angle of incidence, frequency and are affected by the couple stress properties of the media. Some special cases are deduced from the present formulation.

2

Ocena zastosowania metody optymalizacji globalnej SA (Simulated Annealing) do wyznaczenia prędkości propagacji fali poprzecznej w ośrodkach geologicznych o różnej geometrii

Pieniążek K.

Nafta-Gaz

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2009

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R. 65, nr 4

287--295

PL

Celem pracy była próba określenia kryteriów zastosowania metody optymalizacji globalnej SA dla wyznaczenia prędkości propagacji fali poprzecznej w odwrotnym zadaniu sejsmicznym. Obliczenia prowadzono na modelach o coraz bardziej skomplikowanej geometrii ośrodka. Rozpoczęto od modelu o granicach płaskorównoległych, następnym modelem był model o granicach nachylonych, natomiast ostatni model posiadał granice o dowolnej geometrii. Za podstawowe poszukiwane parametry ośrodka geologicznego przyjęto: prędkość propagacji fali podłużnej, prędkość propagacji fali poprzecznej oraz głębokość danej warstwy. Prowadzone badania pozwoliły na dalsze rozpoznanie metody symulowanego wyżarzania i jej użyteczności w konkretnym zadaniu geofizycznym.

EN

The aim of this paper was determination the criterions of application of global optimization method SA (Simulated Annealing) in estimation of shear wave velocity in inverse problem in seismic method. Calculations were made for models with more and more complex geometry of the geological medium. The first model had plane and parallel boundaries, the second model had plane and slope boundaries, the last model had arbitrary boundaries. The parameters of geological medium which were sought in the first place were as follows: longitudinal wave velocity and shear wave velocity and also depth of boundaries and their angles of dip. The performed research helped to know SA method better and to state its usefulness for a specific geophysical problem.

3

Reflection and transmission of waves from a plane interface between viscous liquid and magneto elastic solid half space with voids

Acharya D. P., Maji C.

International Journal of Applied Mechanics and Engineering

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2009

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Vol. 14, no 1

21-54

EN

This paper investigates the propagation of plane waves as well as their reflection and transmission from the plane interface which separates a viscous liquid half space and a magneto elastic solid semi infinite medium containing a distribution of void pores. From the analysis of the propagation of plane waves in a magneto elastic solid medium with voids, it is found that the longitudinal wave in a void solid medium is subject to dispersion of the general wave form. In this case, short wave and long wave approximations have been made. A 'cut of frequency', which depends upon the void parameter, exists below which one of the longitudinal waves cannot propagate at all. Amplitude and energy ratios of various reflected and transmitted waves are presented in each of the four cases when (i) a set of coupled longitudinal waves (ii) a similar set of coupled waves (iii) a transverse wave, propagating through the solid half space (iv) a longitudinal wave propagating through the viscous liquid half space, are made incident at the interface. Numerical computations are made for a specific model and results are presented graphically to highlight the modulations of these ratios due to the variation of incident angle of the incident wave. It is found that the amplitude and energy ratios of various reflected and transmitted waves are functions of angle of incidence and frequency. The effects of viscosity of the liquid, magnetic field as well as void nature of the solid medium on the amplitude and energy ratios have been analyzed from the graphical representations.