Frequency-domain iterative solver for 3D acoustic wave equation with two-stage semianalytical preconditioner [Электронный ресурс]

Авторы: Neklyudov D.   (ИНГГ СО РАН)   Dmitriev M.   (ИНГГ СО РАН)   Belonosov M.   (ИНГГ СО РАН)   Tcheverda V.   (ИНГГ СО РАН)  
дата публикации: 2014
An approach to iterative solution of 3D acoustic wave equation in the frequency domain is introduced, justified and verified numerically. It is based on special one-and two-level preconditioners, which are constructed by means of inverse operator for complex damped Helmholtz equation with a depth dependent coefficient. An essential element of the process is computing how these preconditioners acts on a 3D vector. This computation is achieved by performing 2D Fast Fourier Transform along lateral coordinates, followed by solving a number of ordinary differential equations with respect to depth. Both of these operations are effectively parallelized, thus allowing efficient computation. For media with strong lateral variations, such preconditioner can be applied in two stages to increase the rate of convergence. Results of numerical experiments demonstrate good accuracy and acceptable computation times
первоисточник: 76th European Association of Geoscientists and Engineers Conference and Exhibition 2014: Experience the Energy - Incorporating SPE EUROPEC 2014 (Amsterdam, Netherlands, 16-19 June 2014)
страницы: 2619-2623
ISBN: 978-1-63266-694-9
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