Institute of Computational Mathematics and Mathematical Geophysics SB RAS

International Conference on Mathematical Methods in Geophysics «MMG-2008»

Akademgorodok, Novosibirsk, Russia, October 13-15, 2008

Abstracts

High-Performance Computing, Parallel Methods and Algorithms in Geophysical Problems

Parallel implementation of finite-difference simulation of 3D Sonic log in multiscale viscoelastic media

Galina V. Reshetova, Vladimir A. Tcheverda, Dimitry V. Pissarenko,

Inst. of Comp. Math. and Math. Geoph. SB RAS,
Institute of Petroleum Geology and Geophysics SB RAS,
Schlumberger Moscow Research,
Moscow,
Russia

Finite-difference (FD) method for 3D simulation of sonic waves’ propagation in a borehole and surrounding 3D heterogeneous viscoelastic medium is presented. It is based on explicit second-order staggered grid FD scheme that solves the first-order viscoelastic wave equations (velocity-stress formulation) in cylindrical coordinates. Attenuation is implemented via Generalize Standard Linear Solid model. In order to provide desired Quality Factors tau-method is applied [1]. In order to bound area of computations special modification of Perfectly Matched Layer for cylindrical coordinate system is developed and implemented [2]. Essential 3D nature of the waves processes for realistic models claims necessity to use parallel computations. Parallelization is performed on the base of domain decomposition approach and implemented under Message Passing Interface. Results of numerical experiments are presented.

Note. Abstracts are published in author's edition

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