多孔介质中波动过程的模拟与渐近展开

IF 0.1 Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI:10.17721/2706-9699.2022.2.15

G. Sandrakov

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引用次数: 0

摘要

考虑了多孔周期性介质中波动过程的模型。考虑到相应的波动方程取决于表征这种介质的微观尺度、密度和渗透率的小参数。给出了确定这些方程渐近展开式的算法。文中还提出了对这种扩展的准确性的估计。

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MODELING OF WAVE PROCESSES IN POROUS MEDIA AND ASYMPTOTIC EXPANSIONS

Models of wave processes in porous periodic media are considered. It is taken into account that the corresponding wave equations depend on small parameters characterizing the microscale, density, and permeability of such media. The algorithm for determining asymptotic expansions for these equations is given. Estimates for the accuracy of such expansions are presented.

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Journal of Numerical and Applied Mathematics MATHEMATICS, APPLIED-

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