An irregular lattice method for elastic wave propagation

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Title: An irregular lattice method for elastic wave propagation
Authors: O'Brien, G. S.
Bean, Christopher J.
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Date: Oct-2011
Online since: 2014-06-19T14:55:04Z
Abstract: Lattice methods are a class of numerical scheme which represent a medium as a connection of interacting nodes or particles. In the case of modelling seismic wave propagation, the interaction term is determined from Hooke′s Law including a bond-bending term. This approach has been shown to model isotropic seismic wave propagation in an elastic or viscoelastic medium by selecting the appropriate underlying lattice structure. To predetermine the material constants, this methodology has been restricted to regular grids, hexagonal or square in 2-D or cubic in 3-D. Here, we present a method for isotropic elastic wave propagation where we can remove this lattice restriction. The methodology is outlined and a relationship between the elastic material properties and an irregular lattice geometry are derived. The numerical method is compared with an analytical solution for wave propagation in an infinite homogeneous body along with comparing the method with a numerical solution for a layered elastic medium. The dispersion properties of this method are derived from a plane wave analysis showing the scheme is more dispersive than a regular lattice method. Therefore, the computational costs of using an irregular lattice are higher. However, by removing the regular lattice structure the anisotropic nature of fracture propagation in such methods can be removed.
Type of material: Journal Article
Publisher: Oxford University Press
Journal: Geophysical Journal International
Volume: 187
Issue: 3
Start page: 1699
End page: 1707
Copyright (published version): 2011 the authors, 2011 The Royal Astronomical Society
Keywords: Numerical solutionsComputational seismologyWave propagation
DOI: 10.1111/j.1365-246X.2011.05229.x
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Language: en
Status of Item: Peer reviewed
Appears in Collections:Earth Sciences Research Collection

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