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Discrete wavenumber method

WebThe method utilizes a discrete wavenumber decomposition for the horizontal dependence of the wave motion in terms of a Fourier-Bessel series. The series representation is … WebJun 13, 2006 · In this paper, the wavenumber-based modelling approach is outlined and then the applicability of the method to surface vibration and tunnel vibration analyses is …

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WebDec 4, 2024 · Because the contribution of surface waves can be simply obtained by the residue theorem, the computation of SW H / V of cap-layered medium is faster than that of FW H / V evaluated by discrete wavenumber method and contour integration method. WebA boundary integral equation-discrete wavenumber representation method to study wave propagation in multilayered media having irregular interfaces Michel Bouchon , Michel Campillo , and... mount sinai internal medicine observership https://pickeringministries.com

A boundary integral equation‐discrete wavenumber representation method ...

WebAug 26, 1998 · The displacement‐stress vectors are propagated through the layers using the Thomson–Haskell method. Only the well‐bonded configuration is investigated. In the time domain, the effects of the source center frequency on synthetic full waveform microseismograms computed using the discrete wavenumber method are investigated. WebThe approach is based on the representation of the interfaces by distributions of body forces, the radiation from which is equivalent to the scattered wave field produced by the … WebMay 15, 2003 · The formulation by the discrete wavenumber method implicitly includes static component as the real part of zero frequency, so this method might compute seismograms with both dynamic and static components of near-field ground motions. We can obtain static displacement by simply setting ω =0. heart machine developer

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Discrete wavenumber method

Introduction to the spectral element method for three …

WebThe discrete wavenumber method is used to compute synthetic full-waveform acoustic logs in axisymmetric multilayered boreholes and to perform the frequency-wavenumber analysis of the radiated wave field. The stress-displacement vector is propagated through the layers using a numerically improved formulation of the Thomson-Haskell method.In …

Discrete wavenumber method

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WebJan 1, 2011 · The wavenumber integration technique is basically a numerical implementation of the integral transform technique for horizontally stratified media … WebDec 1, 1999 · The wavefield on the elements is discretized using high-degree Lagrange interpolants, and integration over an element is accomplished based upon the Gauss-Lobatto-Legendre integration rule. This combination of discretization and integration results in a diagonal mass matrix, which greatly simplifies the algorithm.

WebIn discrete Fourier transform, alias happens when the size N of sampled Fourier modes is less than the actual size of Fourier modes, and in such cases, due to the cyclic … WebABSTRACTS Synthetic seismograms recorded with a logging-while-drilling (LWD) tool in the presence of slow formation are computed by the discrete wavenumber method. Monopole, dipole, and quadrupole logging tools are simulated with a source center frequency of 4 kHz.

WebThe discrete wavenumber method is used to compute synthetic full‐waveform acoustic logs in axisymmetric multilayered boreholes and to perform the … WebAbstract. — We present a review of the discrete wavenumber (DWN) method. The method, introduced by Bouchon and Aki (1977), allows the simple and accurate calculation of the complete Green's functions for many problems in elastodynamics. Download to read the …

WebSep 1, 1989 · The discrete wavenumber‐boundary integral equation method is formulated for this case and is applied to the problem of diffraction of an elastic wave field by a ridge‐shaped topography. The...

WebMay 15, 2003 · The formulation by the discrete wavenumber method implicitly includes static component as the real part of zero frequency, so this method might compute … mount sinai international officeWebFeb 1, 2008 · In this study, we present a new method, the local boundary integral equation–discrete wavenumber method (loBIE-DWM), for simulating the scattered P-SV waves by a 2D irregular surface topography.This method is rigorously derived from the basic formulation of Bouchon and Campillo’s BIE-DWM, which can provide accurate … heart m80sWebThe discrete wavenumber method, which introduces an infinite set of secondary sources of concentric rings distributed at equal radial intervals L p (spatial periodicity) to transform … heart machine flatlineWebThe author proposes the discrete wavenumber boundary element method, in which the direct boundary element method is used with the discrete wavenumber Green's function. This combination achieves both the efficiency in … mount sinai internal medicine associatesWebBouchon, M., 1981, A simple method to calculate Green’s functions for elastic layered media: Bulletin of the Seismological Society of America, 71, 959–971. BSSAAP 0037-1106 Crossref Web of Science Google Scholar; Bouchon, M., 2003, A review of the discrete wavenumber method: Pure and Applied Geophysics, 160, 445–465, doi: . heart machine game developerWebApr 1, 1999 · The method of calculation used is a boundary element method in which the Green’s functions are computed by the discrete wavenumber method. For simplicity, the 2-D elastodynamic diffraction problem is considered. The rock matrix is supposed to be elastic, isotropic and homogeneous, while the cracks are all empty and have the same … mount sinai internal positionsWebMay 1, 1984 · The method utilizes a discrete wavenumber decomposition for the horizontal dependence of the wave motion in terms of a Fourier-Bessel series. The … mount sinai in saudi arabia google earth