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A weighted Runge-Kutta discontinuous Galerkin method for reverse time migration
Geophysics ( IF 3.3 ) Pub Date : 2020-10-21 , DOI: 10.1190/geo2019-0193.1 Chujun Qiu 1 , Dinghui Yang 1 , Xijun He 2 , Jingshuang Li 3
Geophysics ( IF 3.3 ) Pub Date : 2020-10-21 , DOI: 10.1190/geo2019-0193.1 Chujun Qiu 1 , Dinghui Yang 1 , Xijun He 2 , Jingshuang Li 3
Affiliation
Reverse time migration (RTM) is widely used in the industry because of its ability to handle complex geologic models including steeply dipping interfaces. The quality of images produced by RTM is significantly influenced by the performance of the numerical methods used to simulate the wavefields. Recently, a weighted Runge-Kutta discontinuous Galerkin (WRKDG) method has been developed to solve the wave equation, which is stable, explicit, and efficient in parallelization and suppressing numerical dispersion. By incorporating two different weights for the time discretization, we have obtained a more stable method with a larger time sampling. We apply this numerical method to RTM to handle complex topography and improve imaging quality. By comparing it to the high-order Lax-Wendroff correction method, we determine that WRKDG is efficient in RTM. From the results of the Sigsbee2B data, we can find that our method is efficient in suppressing artifacts and can produce images of good quality when coarse meshes are used. The RTM results of the Canadian Foothills model also demonstrate its ability in handling complex geometry and rugged topography.
中文翻译:
逆向时间偏移的加权Runge-Kutta不连续Galerkin方法
反向时间偏移(RTM)由于能够处理复杂的地质模型(包括陡倾界面)而在行业中得到了广泛使用。RTM产生的图像质量受到用于模拟波场的数值方法性能的显着影响。近年来,已经开发出加权的Runge-Kutta不连续Galerkin(WRKDG)方法来求解波动方程,该方程稳定,显式并且在并行化和抑制数值离散方面有效。通过合并两个不同的权重进行时间离散化,我们获得了具有较大时间采样的更稳定的方法。我们将此数值方法应用于RTM以处理复杂的地形并提高成像质量。通过将其与高阶Lax-Wendroff校正方法进行比较,我们确定WRKDG在RTM中是有效的。从Sigsbee2B数据的结果中,我们可以发现我们的方法在抑制伪影方面非常有效,并且在使用粗网格时可以产生高质量的图像。Canadian Foothills模型的RTM结果也证明了其处理复杂几何形状和崎top地形的能力。
更新日期:2020-10-27
中文翻译:
逆向时间偏移的加权Runge-Kutta不连续Galerkin方法
反向时间偏移(RTM)由于能够处理复杂的地质模型(包括陡倾界面)而在行业中得到了广泛使用。RTM产生的图像质量受到用于模拟波场的数值方法性能的显着影响。近年来,已经开发出加权的Runge-Kutta不连续Galerkin(WRKDG)方法来求解波动方程,该方程稳定,显式并且在并行化和抑制数值离散方面有效。通过合并两个不同的权重进行时间离散化,我们获得了具有较大时间采样的更稳定的方法。我们将此数值方法应用于RTM以处理复杂的地形并提高成像质量。通过将其与高阶Lax-Wendroff校正方法进行比较,我们确定WRKDG在RTM中是有效的。从Sigsbee2B数据的结果中,我们可以发现我们的方法在抑制伪影方面非常有效,并且在使用粗网格时可以产生高质量的图像。Canadian Foothills模型的RTM结果也证明了其处理复杂几何形状和崎top地形的能力。