Waves in fluids and solids Part 13 pptx

... O(κ), (51) 308 Waves in Fluids and Solids Waves in Fluids and Solids 292 [52] Y. Xu et al, Chin. Phys. Lett. 22, 2557 (2005). [53] Y. C. Chang, L. J. Yeh, and M. C. Chiu, Int. J. Numer. ... r q where j n and h n are the n-th order spherical Bessel and Hankel function of the first kind and P n is a Legendre polynomial. 298 Waves in Fluids and Solids In...

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... collected in underwater and seismic experiments. Waves in Fluids and Solids 172 separate different modes and obtain higher resolution. By combining both v z and v x dispersion data the final ... vertical and horizontal shear waves in the seafloor. This enabled to measure both Scholte and Love waves and to inverse S-wave speed profile jointly, thereby obt...

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... seismic input is AVO intercept and gradient. The method is based upon thin layer reflectivity modeling. It is shown that random variability in thickness and seismic properties of the thin sand and ... effects of scattering and intrinsic attenuation in layered media. The propagation of acoustic waves in a layered medium results in the energy loss due to scattering effect....

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... (Stovas&Ursin, 2007). Acoustic Waves in Layered Media - From Theory to Seismic Applications 25  1 2 2 2 2 2 Im cos sin sin sin sin cos Im sin Im 1 1sin 1 sin sin sin sin cos Im sin sin 1 i D i D ... amplitudes. With increase of reflection Waves in Fluids and Solids 14   11 , DD  TIFR G. (63) These correspond to ones given in Ursin and Haugen (1...

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... 1960), Mindlin and Medick (1959), Mindlin and Onoe (1957), Onoe (1955), and Tolstoy and Usdin (1953). The latter authors reported highly intricate behavior of the disperse curves in the vicinity ... equations for Lamb waves. Studies of Lamb waves, as solutions of linear equations of motion for the infinite plates, and the corresponding soliton-like linear waves traveling...

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... surfaces strings number 15 and 16 in expressions (35) must be replaced with: Waves in Fluids and Solids 86 Here A (n) and B (n) are six unknown coefficients of the linear combination. Together ... Waves in Fluids and Solids 66 Gogoladze V.G. Dispersion of Rayleigh Waves in a Layer (in Russian), Publ. Inst. Seism. Acad. Sci. U.R.S.S. 119 (1947) 27 –...

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... automatically and shows obtained results in corresponding windows of the program interface (a program is made in a Borland C++ Builder medium and provides automatic transfer of main results into Excel ... modes appear, and this resonator can be a multi-frequency resonator, as shown in Fig. 13a. Waves in Fluids and Solids 106 of the longest wavelength phonons is...

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... alone and we can neglect the plastic strain contribution. Up to linear order, the strain 133 Multiple Scattering of Elastic Waves in Granular Media: Theory and Experiments Waves in Fluids and Solids ... This opens the possibility to engineer a novel and useful method for investigating the complex response 128 Waves in Fluids and Solids Waves in Fluids a...

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... (1990). As the starting point, we take the Laplace transform of 139 Multiple Scattering of Elastic Waves in Granular Media: Theory and Experiments Waves in Fluids and Solids 162 infinite water depth. ... 55–86 152 Waves in Fluids and Solids Waves in Fluids and Solids 160 22 000 0 .   (32) in the water, and 22 111 0 , p    ...

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... Waves in Fluids and Solids 200 vibrating molecules. The standing waves are induced in each globule of the crystal. The pulsating modes arising in the PNC globules are ... kinds of non-elastic scattering in medium, e.g., the Raman scattering, the Brillouin scattering, the Bragg scattering etc. In the case of Raman scattering the oscillatory quanta corresponding ... (...

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