The accurate numerical modelling of 3-D seismic wave propagation is essential in understanding details to seismic wavefields which are, observed on regional and global scales on the Earth’s surface. The diffusive-viscous wave (DVW) equation was proposed to study the connection between fluid saturation and frequency dependence of reflections and to characterise the attenuation property of the seismic wave in a fluid-saturated medium. The attenuation of DVW is primarily described by the Active Attenuation Parameters (AAP) in the equation. It is, therefore, imperative to acquire these parameters and to additionally specify the characteristics of the DVW. In this paper, Quality Factor, Q is used to obtain the AAP, and they are compared to those of the visco-acoustic wave. We further derive the 3-D numerical schemes based on a second order accurate finite volume scheme with a second order Runger-Kutta approximation for the time discretisation and a fourth order accurate finite difference scheme with a fourth order Runger-Kutta approximation for the time discretisation. We then simulate the propagation of seismic waves in a 3-D fluid-saturated medium based on the derived schemes. The numerical results indicate stronger attenuation when compared to the visco-acoustic case.

中文翻译：

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使用两种数值方法对3D流体饱和介质中的扩散粘滞波的影响进行建模。

在了解地球表面区域和全球范围内观察到的地震波场的细节时，精确的3D地震波传播数值模型至关重要。为了研究流体饱和度与反射频率相关性之间的联系，并表征流体饱和介质中地震波的衰减特性，提出了扩散粘滞波（DVW）方程。DVW的衰减主要由等式中的有源衰减参数（AAP）来描述。因此，必须获取这些参数并另外指定DVW的特性。本文中的品质因数Q用来获得AAP，并将它们与粘声波的AAP进行比较。我们进一步基于时间离散化的二阶Runger-Kutta近似的二阶精确有限体积方案和时间离散化的四阶Runger-Kutta近似的四阶精确有限差分方案，导出了3D数值方案。 。然后，我们根据导出的方案模拟地震波在3-D流体饱和介质中的传播。数值结果表明，与粘声情况相比，衰减更强。