A ug 2 00 9 Asymptotic wave - splitting in anisotropic linear acoustics
نویسندگان
چکیده
Linear acoustic wave-splitting is an often used tool in describing sound-wave propagation through earth's subsurface. Earth's subsurface is in general anisotropic due to the presence of water-filled porous rocks. Due to the complexity and the implicitness of the wave-splitting solutions in anisotropic media, wave-splitting in seismic experiments is often modeled as isotropic. With the present paper, we have derived a simple wave-splitting procedure for an instantaneously reacting anisotropic media that includes spatial variation in depth, yielding both a traditional (approximate) and a 'true amplitude' wave-field decomposition. One of the main advantages of the method presented here is that it gives an explicit asymptotic representation of the linear acoustic-admittance operator to all orders of smoothness for the smooth, positive definite anisotropic material parameters considered here. Once the admittance operator is known we obtain an explicit asymptotic wave-splitting solution.
منابع مشابه
Splitting of critical energies in the n=0 Landau level of graphene
The lifting of the degeneracy of the states from the graphene n=0 Landau level (LL) is investigated through a non-interacting tight-binding model with random hoppings. A disorder-driven splitting of two bands and of two critical energies is observed by means of density of states and participation ratio calculations. The analysis of the probability densities of the states within the n=0 LL provi...
متن کاملs - ph ] 1 4 A ug 2 00 9 Wave - corpuscle mechanics for elementary charges Anatoli Babin and Alexander Figotin University of California at Irvine
متن کامل
- ph ] 1 9 A ug 2 00 0 Ground Motion Model of the SLAC Site ∗
We present a ground motion model for the SLAC site. This model is based on recent ground motion studies performed at SLAC as well as on historical data. The model includes wave-like, diffusive and systematic types of motion. An attempt is made to relate measurable secondary properties of the ground motion with more basic characteristics such as the layered geological structure of the surroundin...
متن کاملX iv : h ep - p h / 05 08 22 0 v 1 2 2 A ug 2 00 5 Ultra - Relativistic Expansion of Ideal Fluid with Linear Equation of State
We study solutions of the relativistic hydrodynamical equations, which describe spherical or cylindrical expansion of ideal fluid. We derived approximate solutions involving two arbitrary functions, which describe asymptotic behavior of expanding fireballs in ultra-relativistic limit. In case of a linear equation of state p(ε) = κε − c 1 , (0 < κ < 1) we show that the solution may be represente...
متن کاملar X iv : m at h / 06 08 29 3 v 1 [ m at h . A P ] 1 1 A ug 2 00 6 GLOBAL BEHAVIOUR OF NONLINEAR DISPERSIVE AND WAVE EQUATIONS
We survey recent advances in the analysis of the large data global (and asymptotic) behaviour of nonlinear dispersive equations such as the non-linear wave (NLW), nonlinear Schrödinger (NLS), wave maps (WM), Schrödinger maps (SM), generalised Korteweg-de Vries (gKdV), Maxwell-Klein-Gordon (MKG), and Yang-Mills (YM) equations. The classification of the nonlin-earity as subcritical (weaker than t...
متن کامل