Abstract
A Finite-difference method for simulation of sonic waves propagating in a vicinity of a borehole filled with fluid and surrounded by a 3D heterogeneous elastic medium is developed. The method utilizes an explicit second order of approximation FD scheme on staggered grids that approximates the elastodynamic system of equations in cylindrical coordinates. A computational domain is surrounded by a special Perfectly Matched Layer for cylindrical coordinate system designed to attenuate waves reflected from outer boundaries. Parallelization is based on a domain decomposition approach and implemented with the help of MPI library. Results of numerical experiments are presented.
This research was partially supported by Russian Foundation of Basic Research, grants 05-05-64277, 06-05-64748 and 07-05-00538.
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Kostin, V.I., Pissarenko, D.V., Reshetova, G.V., Tcheverda, V.A. (2007). Numerical Simulation of 3D Acoustic Logging. In: Kågström, B., Elmroth, E., Dongarra, J., Waśniewski, J. (eds) Applied Parallel Computing. State of the Art in Scientific Computing. PARA 2006. Lecture Notes in Computer Science, vol 4699. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75755-9_122
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DOI: https://doi.org/10.1007/978-3-540-75755-9_122
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