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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >High-order thin layer method for viscoelastic wave propagation in stratified media
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High-order thin layer method for viscoelastic wave propagation in stratified media

机译：高阶薄层法在层状介质中传播粘弹性波

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摘要

Wave propagation in stratified media has wide applications in petroleum exploration, geophysical inversion, nondestructive evaluation of highway and airport pavement structures, countermine technology, structural health monitoring, and vehicle weigh-in-motion systems. A high-order thin layer method is developed to improve the accuracy and robustness of thin layer method for analyzing viscoelastic wave propagation in stratified media. It approximates the stiffness matrix involving transcendental functions by truncating the Taylor series of the stiffness matrix to the fourth order term. A generalized eigenvalue problem is then formulated, which allows an efficient numerical algorithm to be designed in a computer program DynaThinLayer. The high-order thin layer method is compared to the thin layer method, the stiffness matrix method and the exact Zoeppritz method in terms of accuracy and efficiency. It is shown that the high-order method requires the same level of computation time as does the thin layer method, but the former produce more accurate result than the latter. The computation time of the high-order thin layer method increases linearly when the number of layers increases. The new method is most applicable to situations where a large number of layers is involved or to situations where some natural layers have large thickness.
机译：分层介质中的波传播在石油勘探，地球物理反演，高速公路和机场路面结构的无损评估，防雷技术，结构健康监测以及车辆动态称重系统中具有广泛的应用。提出了一种高阶薄层分析方法，以提高薄层分析方法在层状介质中传播时的准确性和鲁棒性。它通过将刚度矩阵的泰勒级数截断为四阶项来近似包含先验函数的刚度矩阵。然后制定了一个广义特征值问题，该问题允许在计算机程序DynaThinLayer中设计有效的数值算法。在精度和效率方面，将高阶薄层方法与薄层方法，刚度矩阵方法和精确的Zoeppritz方法进行了比较。结果表明，高阶方法所需的计算时间与薄层方法相同，但是前者比后者更精确。当层数增加时，高阶薄层方法的计算时间线性增加。新方法最适用于涉及大量层的情况或某些自然层具有较大厚度的情况。

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