@Article{CiCP-1-3,
author = {},
title = {A Nearly Analytical Discrete Method for Wave-Field Simulations in 2D Porous Media},
journal = {Communications in Computational Physics},
year = {2006},
volume = {1},
number = {3},
pages = {528--547},
abstract = {<p style="text-align: justify;">The nearly analytic discrete method (NADM) is a perturbation method
originally proposed by Yang et al. (2003) [26] for acoustic and elastic waves in elastic
media. This method is based on a truncated Taylor series expansion and interpolation
approximations and it can suppress effectively numerical dispersions caused by the discretizating
the wave equations when too-coarse grids are used. In the present work, we
apply the NADM to simulating acoustic and elastic wave propagations in 2D porous
media. Our method enables wave propagation to be simulated in 2D porous isotropic
and anisotropic media. Numerical experiments show that the error of the NADM for the
porous case is less than those of the conventional finite-difference method (FDM) and
the so-called Lax-Wendroff correction (LWC) schemes. The three-component seismic
wave fields in the 2D porous isotropic medium are simulated and compared with those
obtained by using the LWC method and exact solutions. Several characteristics of wave
propagating in porous anisotropic media, computed by the NADM, are also reported
in this study. Promising numerical results illustrate that the NADM provides a useful
tool for large-scale porous problems and it can suppress effectively numerical dispersions.</p>},
issn = {1991-7120},
doi = {https://doi.org/2006-CiCP-7969},
url = {https://global-sci.com/article/81382/a-nearly-analytical-discrete-method-for-wave-field-simulations-in-2d-porous-media}
}