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 JAMP  Vol.1 No.4 , October 2013
Parallel Simulation of 3D Wave Propagation by Domain Decomposition
Abstract: In order to perform large scale numerical simulation of wave propagation in 3D heterogeneous multiscale viscoelastic media, Finite Difference technique and its parallel implementation based on domain decomposition is used. A couple of typical statements of borehole geophysics are dealt with—sonic log and cross well measurements. Both of them are essentially multiscales, which claims to take into account heterogeneities of very different sizes in order to provide reliable results of simulations. Locally refined spatial grids help us to avoid the use of redundantly tiny grid cells in a target area, but cause some troubles with uniform load of Processor Units involved in computations. We present results of scalability tests together with results of numerical simulations for both statements performed for some realistic models.
Cite this paper: Reshetova, G. , Tcheverda, V. and Vishnevsky, D. (2013) Parallel Simulation of 3D Wave Propagation by Domain Decomposition. Journal of Applied Mathematics and Physics, 1, 6-11. doi: 10.4236/jamp.2013.14002.
References

[1]   J. O. Blanch, J. O. A. Robertsson and W. W. Symes, “Modeling of a Constant Q: Methodology and Algorithm for an Efficient and Optimally Inexpensive Viscoelastic Technique,” Geophysics, Vol. 60, No. 1, 2005, pp. 176- 184.

[2]   R. M. Christensen, “Theory of Viscoelasticity—An Introduction,” Academic Press, Waltham, 1982.

[3]   S. Hestholm, et al., “Quick and Accurate Q Parameterization in Viscoelastic Wave Modeling,” Geo-physics, Vol. 71, No. 5, 2006, pp. T147-T150.

[4]   V. I. Kostin, D. V. Pissarenko, G. V. Reshetova and V. A. Tcheverda, “Numerical Simulation of 3D Acoustic Logging,” Lecture Notes in Computer Sciences, Vol. 4699, 2007, pp. 1045-1054. http://dx.doi.org/10.1007/978-3-540-75755-9_122

[5]   F. J. McDonal, F. A. Angona, R. L. Mills, R. L. Sengbush, R. G. van Nostrand and J. E. White, “Attenuation of Shear and Compressional Waves in Pierre Shale,” Geophysics, Vol. 23, No. 3, 1958, pp. 421-439. http://dx.doi.org/10.1190/1.1438489

[6]   S. A. Siddiqui, “Dispersion Analysis of Seismic Data,” M.S. Thesis, University of Tulsa, Tulsa, 1971.

[7]   P.C. Wuenschel, “Dispersive Body Waves—An Experimental Study,” Geophysics, Vol. 30, No. 4, 1965, pp. 539-551. http://dx.doi.org/10.1190/1.1439620

 
 
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