دورية أكاديمية
ADI-based, conditionally stable schemes for seismic P-wave and elastic wave propagation problems
| العنوان: | ADI-based, conditionally stable schemes for seismic P-wave and elastic wave propagation problems |
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| المؤلفون: | Łoś, Marcin, Behnoudfar, Pouria, Dobija, Mateusz, Paszyński, Maciej |
| سنة النشر: | 2022 |
| المجموعة: | Jagiellonian University Repository |
| مصطلحات موضوعية: | conditional stability, P-wave propagation problems, elastic wave propagation problems, linear computational cost, time-dependent simulations |
| الوصف: | The modeling of P-waves has essential applications in seismology. This is because the detection of the P-waves is the first warning sign of the incoming earthquake. Thus, P-wave detection is an important part of an earthquake monitoring system. In this paper, we introduce a linear computational cost simulator for three-dimensional simulations of P-waves. We also generalize our formulations and derivation for elastic wave propagation problems. We use the alternating direction method with isogeometric finite elements to simulate seismic P-wave and elastic propagation problems. We introduce intermediate time steps and separate our differential operator into a summation of the blocks, acting along the particular coordinate axis in the sub-steps. We show that the resulting problem matrix can be represented as a multiplication of three multi-diagonal matrices, each one with B-spline basis functions along the particular axis of the spatial system of coordinates. The resulting system of linear equations can be factorized in linear $\mathcal{O}$ (N) computational cost in every time step of the semi-implicit method. We use our method to simulate P-wave and elastic wave propagation problems. We derive the condition for the stability for seismic waves; namely, we show that the method is stable when τ < C min{ h$_{x}$,h$_{y}$,h$_{z}$}, where C is a constant that depends on the PDE problem and also on the degree of splines used for the spatial approximation. We conclude our presentation with numerical results for seismic P-wave and elastic wave propagation problems. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| تدمد: | 0239-7528 2300-1917 |
| العلاقة: | Bulletin of the Polish Academy of Sciences. Technical Sciences, T. 70, nr 5; https://ruj.uj.edu.pl/xmlui/handle/item/308106Test |
| DOI: | 10.24425/bpasts.2022.141985 |
| الإتاحة: | https://doi.org/10.24425/bpasts.2022.141985Test https://ruj.uj.edu.pl/xmlui/handle/item/308106Test |
| حقوق: | Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa ; http://creativecommons.org/licenses/by/4.0/legalcode.plTest |
| رقم الانضمام: | edsbas.A72593EC |
| قاعدة البيانات: | BASE |
| تدمد: | 02397528 23001917 |
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| DOI: | 10.24425/bpasts.2022.141985 |