Data Assimilation in Volcano Deformation Using Fast Finite Element Analysis with High Fidelity Model

Data Assimilation in Volcano Deformation Using Fast Finite Element Analysis with High Fidelity Model
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DOI:
10.1007/978-3-030-50420-5_2
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发表时间:
2020-05-22
期刊:
Computational Science – ICCS 2020
影响因子:
--
通讯作者:
Hori M
Hori M
中科院分区:
其他
文献类型:
--
作者:
Murakami S;Yamaguchi T;Fujita K;Ichimura T;Lalith M;Hori M

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火山内部状态的估计对于认识火山喷发机理和降低灾害风险具有重要意义。随着观测网络的完善,利用地表观测的时程地壳变形资料同化岩浆内部状态的数据有望适用于解决这类问题。采用能够模拟复杂几何形状的有限元方法来模拟三维非均质地壳结构是可取的,而考虑岩浆运动引起的材料性质变化则需要进行非线性时程分析。因此,在许多情况下,需要进行大规模的有限元分析,并且所产生的计算成本有望成为瓶颈。作为考虑地壳物质性质变化的内部岩浆状态数据同化的基础研究,我们证明了通过gpu加速的地壳变形分析方法的发展可以在合理的时间框架内进行许多火山变形问题的案例分析。为了验证资料同化方法,我们估计了实际三维非均质地壳结构中的岩浆走向,而不考虑物质性质的时间变化。我们证实,考虑地壳非均质性的模型可以再现岩浆运动趋势,而不考虑地壳三维结构的模型会导致错误的估计。由此可见,利用能够模拟三维非均质性的有限元方法进行地壳变形分析,对于准确估计岩浆状态具有重要意义。
Estimation of the inner state of volcanoes are important for understanding the mechanism of eruption and reduction of disaster risk. With the improvement in observation networks, data assimilation of internal magma state using time-history crustal deformation data observed at the surface is expected to be suitable for solving such problems. Using finite-element methods capable of modeling complex geometry is desirable for modeling the three-dimensional heterogeneous crust structure, and nonlinear time-history analysis is required for considering the change in material properties due to the movement of magma. Thus, many cases of large-scale finite-element analysis is required, and the computational cost incurred is expected to become a bottleneck. As a basic study towards data assimilation of internal magma state considering change in material properties of the crust, we demonstrated that many case analyses of volcano deformation problems can be conducted in a reasonable time frame by development of a crustal deformation analysis method accelerated by GPUs. For verification of the data assimilation method, we estimated the magma trend in an actual three-dimensional heterogeneous crust structure without temporal change in material properties. We confirmed that the magma movement trend can be reproduced using the model considering crust heterogeneity, while models disregarding three-dimensional crust structure resulted in wrong estimations. Thus, we can see that using finite-element methods capable of modeling three-dimensional heterogeneity for crustal deformation analysis is important for accurate magma state estimation.
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