用高性能计算求解P波和S波传播模型

J. Amado, C. Piedrahita, C. Vera-Ciro, C. Parra
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引用次数: 0

摘要

地震波的传播受传播介质类型的影响。因此,有必要求解一个偏导数的微分方程组,以便识别传播到弹性介质中的波。本文综述了用偏微分方程组表示波动方程,用有限差分法求得交错网格下弹性介质响应的研究。为了防止计算区域的反射,PML方法使用了吸收边界。该数值方案在共享相同类型内存分布的两个计算体系结构(CPU和GPU)上实现。最后,创建了不同的代码版本,以利用GPU内存中的架构,对诸如GPU内存带宽使用等变量进行详细分析,并添加到不受图形处理单元内部内存限制的版本中,而是受整个计算系统的内存限制。
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Solution of a P and S wave propagation model using high performance computation
The propagation of seismic waves is affected by the type of transmission media. Therefore, it is necessary to solve a differential equation system in partial derivatives allowing for identification of waves propagating into an elastic media. This paper summarizes a research using a partial differential equation system representing the wave equation using the finite differences method to obtain the elastic media response, using an staggered grid. To prevent reflections in the computational regions, absorbent boundaries were used with the PML method. The implementation of the numerical scheme was made on two computational architectures (CPU and GPU) that share the same type of memory distribution. Finally, different code versions were created to take advantage of the architecture in the GPU memory, performing a detailed analysis of variables such as usage of bandwidth of the GPU internal memory, added to a version that is not limited by the internal memory in the graphic processing unit, but rather by the memory of the whole computational system.
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