GPU Elastic Modeling Using an Optimal Staggered-Grid Finite-Difference Operator

Q1 Mathematics

Journal of Computational Acoustics Pub Date : 2017-09-04 DOI:10.1142/S0218396X18500054

Wang Jian, Meng Xiaohong, Liu Hong, Zheng Wan-qiu, Liu Zhiwei

引用次数: 0

Abstract

Staggered-grid finite-difference forward modeling in the time domain has been widely used in reverse time migration and full waveform inversion because of its low memory cost and ease to implementation on GPU, however, high dominant frequency of wavelet and big grid interval could result in significant numerical dispersion. To suppress numerical dispersion, in this paper, we first derive a new weighted binomial window function (WBWF) for staggered-grid finite-difference, and two new parameters are included in this new window function. Then we analyze different characteristics of the main and side lobes of the amplitude response under different parameters and accuracy of the numerical solution between the WBWF method and some other optimum methods which denotes our new method can drive a better finite difference operator. Finally, we perform elastic wave numerical forward modeling which denotes that our method is more efficient than other optimum methods without extra computing costs.

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基于交错网格有限差分算子的GPU弹性建模

时域交错网格有限差分正演建模由于其存储成本低、易于在GPU上实现等优点，在逆时偏移和全波形反演中得到了广泛的应用，但小波主频高、网格间隔大会导致数值离散。为了抑制数值离散，本文首先推导了一种新的交错网格有限差分加权二项式窗口函数，并在该窗口函数中加入了两个新的参数。然后，我们分析了WBWF方法与其他一些优化方法在不同参数和数值解精度下振幅响应的主瓣和旁瓣的不同特性，这表明我们的新方法可以驱动更好的有限差分算子。最后，我们进行了弹性波数值正演模拟，这表明我们的方法比其他优化方法更有效，没有额外的计算成本。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Computational Acoustics 物理-声学

CiteScore

3.90

自引率

0.00%

发文量

审稿时长

4.5 months

期刊介绍： Currently known as Journal of Theoretical and Computational Acoustics (JTCA).The aim of this journal is to provide an international forum for the dissemination of the state-of-the-art information in the field of Computational Acoustics. Topics covered by this journal include research and tutorial contributions in OCEAN ACOUSTICS (a subject of active research in relation with sonar detection and the design of noiseless ships), SEISMO-ACOUSTICS (of concern to earthquake science and engineering, and also to those doing underground prospection like searching for petroleum), AEROACOUSTICS (which includes the analysis of noise created by aircraft), COMPUTATIONAL METHODS, and SUPERCOMPUTING. In addition to the traditional issues and problems in computational methods, the journal also considers theoretical research acoustics papers which lead to large-scale scientific computations. The journal strives to be flexible in the type of high quality papers it publishes and their format. Equally desirable are Full papers, which should be complete and relatively self-contained original contributions with an introduction that can be understood by the broad computational acoustics community. Both rigorous and heuristic styles are acceptable. Of particular interest are papers about new areas of research in which other than strictly computational arguments may be important in establishing a basis for further developments. Tutorial review papers, covering some of the important issues in Computational Mathematical Methods, Scientific Computing, and their applications. Short notes, which present specific new results and techniques in a brief communication. The journal will occasionally publish significant contributions which are larger than the usual format for regular papers. Special issues which report results of high quality workshops in related areas and monographs of significant contributions in the Series of Computational Acoustics will also be published.