Seismic wave equations based on numerical simulation have become effective tools in geological exploration. Considering the frequency dependence of reflections and fluid saturation in porous mediums, the diffusive–viscous wave theory is necessary to study. In this paper, a cell-centered finite volume scheme for the diffusive–viscous wave equation is proposed on general distorted polygonal meshes. Numerical experiments are provided to demonstrate the convergence rate of the errors in the discrete $L^2$ norm and interpret the effectiveness by a simulation of the actual geological exploration point.

中文翻译：

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一般多边形网格上扩散-粘性波动方程的以单元为中心的有限体积格式

基于数值模拟的地震波动方程已成为地质勘探的有效工具。考虑到多孔介质中反射和流体饱和的频率依赖性，有必要研究扩散-粘性波理论。在本文中，在一般扭曲多边形网格上提出了一种用于扩散-粘性波动方程的以单元为中心的有限体积格式。提供了数值实验来证明离散误差的收敛速度${\mathrm{大号}}^2$通过对实际地质勘探点的模拟来规范和解释有效性。