A. M. Antonov, D. S. Kunchenko, A. V. Vershinin, Yu. P. Ampilov, V. A. Levin, K. A. Petrovsky
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引用次数: 0
Abstract
The article solves a three-dimensional dynamic problem of elasticity theory for modeling the propagation of seismic waves in a heterogeneous geological environment, which is a model of a field with an area of about 200 km\({}^{2}\), using the spectral element method at different approximation orders. A detailed description of the problem and a numerical method for solving it are given. A qualitative analysis of the modeling results is given, as well as an estimate of the costs of computational time and memory at different elements orders. A justification is given for the 8th order of the spectral element as optimal under the conditions of this problem, and a technique for qualitative assessing the optimal order in similar situations is provided.
本文采用不同近似阶谱元法，解决了非均质地质环境下地震波传播建模的三维动力学问题，该问题是一个面积约为200 km \({}^{2}\)的地震场模型。对该问题进行了详细的描述，并给出了求解该问题的数值方法。对模型结果进行了定性分析，并对不同单元阶的计算时间和内存成本进行了估计。给出了在该问题条件下谱元的8阶为最优的理由，并提供了在类似情况下定性评价最优阶的技术。
期刊介绍：
Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.
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