Optimization of finite difference forward modeling for elastic waves based on optimum combined window functions

Autor: Gui Sheng, Zheng Wanqiu, Wang Zhi-Yang, Meng Xiaohong, Wang Jian, Liu Hong, Liu Yaning
Rok vydání: 2017
Předmět:
Zdroj: Journal of Applied Geophysics. 138:62-71
ISSN: 0926-9851
DOI: 10.1016/j.jappgeo.2017.01.005
Popis: Full waveform inversion and reverse time migration are active research areas for seismic exploration. Forward modeling in the time domain determines the precision of the results, and numerical solutions of finite difference have been widely adopted as an important mathematical tool for forward modeling. In this article, the optimum combined of window functions was designed based on the finite difference operator using a truncated approximation of the spatial convolution series in pseudo-spectrum space, to normalize the outcomes of existing window functions for different orders. The proposed combined window functions not only inherit the characteristics of the various window functions, to provide better truncation results, but also control the truncation error of the finite difference operator manually and visually by adjusting the combinations and analyzing the characteristics of the main and side lobes of the amplitude response. Error level and elastic forward modeling under the proposed combined system were compared with outcomes from conventional window functions and modified binomial windows. Numerical dispersion is significantly suppressed, which is compared with modified binomial window function finite-difference and conventional finite-difference. Numerical simulation verifies the reliability of the proposed method.
Databáze: OpenAIRE
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