全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

Study of Polarized Wave with a Hydrodynamic Model and Fourier Spectral Method

DOI: 10.1155/2013/720590

Full-Text   Cite this paper   Add to My Lib

Abstract:

The polarization effects in hydrodynamics are studied. Hydrodynamic equation for the nonlinear wave is used along with the polarized nonlinear waves and seismic waves act as initial waves. The model is then solved by Fourier spectral and Runge-Kutta 4 methods, and the surface plot is drawn. The output demonstrates the inundation behaviors. Consequently, the polarized seismic waves along with the polarized nonlinear waves tend to generate dissimilar inundation which is more disastrous. 1. Introduction Via the massive energy released by the faults, energy of the earthquake is usually measured in magnitude or Rachel scale. Released energy in less than one percent of is said transmitted to form Tsunamis [1]. Therefore, we assume that the Tsunami and seismic waves should exist together in this paper during the derivation of polarized model. The notion is strong ground motion by the wave field polarization that generates Tsunami. Reflection being transmitted or polarization gives strong earth motion. Seismic waves due to strong polarized earthquakes propagating in seabed layers will reduce soil stiffness and increase the energy dissipation into the soil [2, 3]. Lately, recording of polarization of the Earth’s teleseismic wave fields and strong ground motion is imaged by applying a vector stacking method to three component broadband seismograms [4]. Polarization effect of the P waves and S waves was also studied analytically for the dispersion and attenuation effects in fluid saturated medium [5–8]. Besides, wave field polarization may both amplify the displacement and increase the attenuation. It is found that multiple wave fields impinging each other give amplification effect while wave field separation gives the negative damping effects [9]. By considering the polarization of seismic wave to the generation of water displacement, we analyze the effect of strong polarized seabed motion towards the generation of Tsunamis. Tsunamis are divided into breaking and nonbreaking waves. Analytical approach is used to study the behavior of Tsunamis theoretically [10–13]. Zelt [14] used Boussinesq equations for deriving breaking and nonbreaking Tsunami run-ups. There are experimental approaches for exploring nonlinear wave’s motion [15–18]. Experimental results by Hwang et al. [19] indicated that the Tsunamis run-ups are directly proportional to the incline beach plane and the run-ups are higher than the run-ups height proposed by Synolakis [13], and Hwang et al. [19] had conducted a study in water tank with 1/20 beach plane. Chang and Hwung [17] and Hsiao et al. [18]

References

[1]  T. Lay, H. Kanamori, C. J. Ammon et al., “The great Sumatra-Andaman earthquake of 26 December 2004,” Science, vol. 308, no. 5725, pp. 1127–1133, 2005.
[2]  M. P. S. d'Avila, L. Lenti, and J.-F. Semblat, “Modelling strong seismic ground motion: three-dimensional loading path versus wavefield polarization,” Geophysical Journal International, vol. 190, no. 3, pp. 1607–1624, 2002.
[3]  P. S. Earle, “Polarization of the Earth’s teleseismic wavefield,” Geophysical Journal International, vol. 139, no. 1, pp. 1–8, 1999.
[4]  M. D. Sharma, “Effect of initial stress on reflection at the free surface of anisotropic elastic medium,” Journal of Earth System Science, vol. 116, no. 6, pp. 537–551, 2007.
[5]  Z. A. Aziz, L. Dennis, and S. Y. Faisal, “Scattering of SH-waves in fluid-saturated medium,” Applied Mathematical Sciences, vol. 4, no. 68, pp. 3375–3386, 2010.
[6]  Z. A. Aziz, L. Dennis, and S. Y. Faisal, “Scattering of SV waves in fluid-saturated medium,” Australian Journal of Basic and Applied Sciences, vol. 4, no. 8, pp. 3843–3853, 2010.
[7]  L. Dennis, S. Y. Faisal, and Z. A. Aziz, “P-waves diffusion in fluid-saturated medium,” Matematika, vol. 26, no. 1, pp. 53–60, 2010.
[8]  L. Dennis, S. Y. Faisal, and Z. A. Aziz, “SH waves diffusion in fluid-saturated medium,” Journal of Mathematics and Statistics, vol. 6, no. 3, pp. 205–209, 2010.
[9]  D. Donno, A. Nehorai, and U. Spagnolini, “Seismic velocity and polarization estimation for wavefield separation,” IEEE Transactions on Signal Processing, vol. 56, no. 10 I, pp. 4794–4809, 2008.
[10]  G. F. Carrier, T. T. Wu, and H. Yeh, “Tsunami run-up and draw-down on a plane beach,” Journal of Fluid Mechanics, no. 475, pp. 79–99, 2003.
[11]  U. Kano?lu and C. E. Synolakis, “Long wave runup on piecewise linear topographies,” Journal of Fluid Mechanics, vol. 374, pp. 1–28, 1998.
[12]  U. Kano?lu, “Nonlinear evolution and runup-rundown of long waves over a sloping beach,” Journal of Fluid Mechanics, vol. 513, pp. 363–372, 2004.
[13]  C. E. Synolakis, “Tsunami runup on steep slopes: how good linear theory really is,” Natural Hazards, vol. 4, no. 2, pp. 221–234, 1991.
[14]  J. A. Zelt, “The run-up of nonbreaking and breaking solitary waves,” Coastal Engineering, vol. 15, no. 3, pp. 205–246, 1991.
[15]  J. V. Hall and J. W. Watts, “Laboratory investigation of the vertical rise of nonlinear waves on impermeable slopes,” Beach Erosion Board Tech. Memo. 33, US Army Corps of Engineers, Vicksburg, Miss, USA, 1953.
[16]  Y. Li and F. Raichlen, “Non-breaking and breaking solitary wave run-up,” Journal of Fluid Mechanics, vol. 456, pp. 295–318, 2002.
[17]  Y. H. Chang and H. H. Hwung, “Experiments on the run-up of nonlinear Waves over sloping bottoms,” in Proceedings of the 3rd Chinese-German Joint Symposium on Coastal and Ocean Engineering, National Cheng Kung University, Tainan, Taiwan, 2006.
[18]  S. C. Hsiao, T. W. Hsu, T. C. Lin, and Y. H. Chang, “On the evolution and run-up of breaking solitary waves on a mild sloping beach,” Coastal Engineering, vol. 55, no. 12, pp. 975–988, 2008.
[19]  K. S. Hwang, H. H. Hwung, H. H. Chen, H. Y. Huang, and Y. H. Chang, “Large scale experiments on the run-up of nonlinear waves on 1:20 slope,” in Proceedings of the 27th Ocean Engineering Conference in Taiwan, National Chung Hsian University, Chiayi County, Taiwan, 2005.
[20]  IUGG/IOC TIME Project, Numerical Method of Tsunami Simulation with the Leap-Frog Scheme, vol. 35 of Manuals and Guides, Intergovernmental Oceanographic Commission, 1997.
[21]  N. Rakowsky, A. Androsov, A. Fuchs et al., “Operational tsunami modelling with TsunAWI—recent developments and applications,” Natural Hazards and Earth System Sciences, vol. 13, pp. 1629–1642.
[22]  D. Thierry and P. Michel, Physics of Solitons, Cambridge University Press, New York, NY, USA, 2006.
[23]  M. W. Dingemans, Wave Propagation over Uneven Bottoms, vol. 13 of Advanced Series on Ocean Engineering, World Scientific, Singapore, 1997.
[24]  Z. Y. Han and X. Z. Yin, Shock Dynamics, vol. 11 of Fluid Mechanics and Its Applications, Kluwer Academic, Amsterdam, The Netherland, 1993.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133