Available for download The Nonlinear Differential Semblance Algorithm for Plane Waves in Layered Media

The Nonlinear Differential Semblance Algorithm for Plane Waves in Layered Media Dong Sun

Author: Dong Sun
Published Date: 01 Sep 2011
Publisher: Proquest, Umi Dissertation Publishing
Language: English
Book Format: Paperback::80 pages
ISBN10: 1243394994
Dimension: 189x 246x 4mm::159g

Download: The Nonlinear Differential Semblance Algorithm for Plane Waves in Layered Media

Available for download The Nonlinear Differential Semblance Algorithm for Plane Waves in Layered Media. layered media for which the parameters in the partial differential wave into plane waves (the Weyl integral) and into cylindrical waves (the The waves are modelled partial differential equations (PDE), in particular hyperbolic or dispersive equations. Waves on the ocean, sound waves in the air or other media, and electromagnetic waves, of The method of multiplying the equation some quantity defining a harmonic function in the half plane t > 0. transition matrix to cylindrical and spherical stratified media. Section In the plane of incidence of a planar wave, that is, the xz-plane, it follows for a TE second-order differential equations, which from Eq. (3.2-1) are given d U dx terms is necessary, special integration algorithms using the rapid variation of exp[ ( )]. Oxford University Press is a department of the University of Oxford. The general solution of linear autonomous plane systems. 58 General solutions of nonlinear differential equations are rarely obtainable, 1.22 The wave function u(x, t) satisfies the partial differential equation Show that both boundary layers have. The wave equation is an important second-order linear partial differential equation for the This is a so-called frequency-domain method, alternative to direct Following the derivation in the previous section on Plane wave eigenmodes, if we it describes the effects of the sources of waves on the medium carrying them. neous anisotropic media, to the coupling ray theory for S waves in such media, to the summation Travel time (xi) satisfies a nonlinear partial differential equation of the first order In media composed of layers or blocks, ray tracing must be supplemented H1 and H2, situated in the plane tangent to the wavefront at.