Reducing Numerical Dispersion with High-Order Finite Difference to Increase Seismic Wave Energy

IF 0.9 Q3 ENGINEERING, MULTIDISCIPLINARY
Syamsurizal Rizal, Awali Priyono, Andri Dian Nugraha, Mochamad Apri, Mochamad Agus Moelyadi, David Prambudi Sahara
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引用次数: 0

Abstract

The numerical dispersion of 2D acoustic wave modeling has become an interesting subject in wave modeling in producing better subsurface images. Numerical dispersion is often caused by error accumulation with increased grid size in wave modeling. Wave modeling with high-order finite differences was carried out to reduce the numerical error. This study focused on variations in the numerical order to suppress the dispersion due to numerical errors. The wave equation used in modeling was discretized to higher orders for the spatial term, while the time term was discretized up to the second order, with every layer unabsorbed. The results showed that high-order FD was effective in reducing numerical dispersion. Thus, subsurface layers could be distinguished and observed clearly. However, from the modeling results, the wave energy decreased with increasing distance, so the layer interfaces were unclear. To increase the wave energy, we propose a new source in modeling. Furthermore, to reduce the computational time we propose a proportional grid after numerical dispersion has disappeared. This method can effectively increase the energy of reflected and transmitted waves at a certain depth. The results also showed that the computational time of high-order FD is relatively low, so this method can be used in solving dispersion problems.
用高阶有限差分降低数值色散以增加地震波能量
二维声波的数值色散模拟已成为声波模拟中一个有趣的研究课题,它能产生更好的地下图像。在波浪模拟中,随着网格尺寸的增大,误差累积往往会引起数值色散。为了减小数值误差,采用高阶有限差分进行了波浪模拟。本研究的重点是数值顺序的变化,以抑制由于数值误差引起的色散。建模中使用的波动方程空间项被离散到高阶,时间项被离散到二阶,每一层都不吸收。结果表明,高阶FD能有效降低数值色散。因此,可以清晰地区分和观察亚表层。但从模拟结果来看,波能量随着距离的增加而减小,因此层间界面不清晰。为了增加波浪能量,我们在模拟中提出了一种新的波源。此外,为了减少计算时间,我们提出了在数值色散消失后的比例网格。这种方法可以有效地增加一定深度处反射波和透射波的能量。结果还表明,高阶FD的计算时间相对较低,因此该方法可用于求解色散问题。
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来源期刊
Journal of Engineering and Technological Sciences
Journal of Engineering and Technological Sciences ENGINEERING, MULTIDISCIPLINARY-
CiteScore
2.30
自引率
11.10%
发文量
77
审稿时长
24 weeks
期刊介绍: Journal of Engineering and Technological Sciences welcomes full research articles in the area of Engineering Sciences from the following subject areas: Aerospace Engineering, Biotechnology, Chemical Engineering, Civil Engineering, Electrical Engineering, Engineering Physics, Environmental Engineering, Industrial Engineering, Information Engineering, Mechanical Engineering, Material Science and Engineering, Manufacturing Processes, Microelectronics, Mining Engineering, Petroleum Engineering, and other application of physical, biological, chemical and mathematical sciences in engineering. Authors are invited to submit articles that have not been published previously and are not under consideration elsewhere.
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