Optimization of a Tsunami Gauge Configuration for Pseudo‐Super‐Resolution of Wave Height Distribution

Abstract In this study, we present an optimization method for determining a cost‐effective sparse configuration for tsunami gauges to realize the reconstruction of high‐resolution wave height distribution throughout the target region based on the concept of super‐resolution. This optimization method...

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Main Authors: Saneiki Fujita, Reika Nomura, Shuji Moriguchi, Yu Otake, Shunichi Koshimura, Randall J. LeVeque, Kenjiro Terada
Format: Article
Language:English
Published: American Geophysical Union (AGU) 2024-02-01
Series:Earth and Space Science
Subjects:
Online Access:https://doi.org/10.1029/2023EA003144
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author Saneiki Fujita
Reika Nomura
Shuji Moriguchi
Yu Otake
Shunichi Koshimura
Randall J. LeVeque
Kenjiro Terada
author_facet Saneiki Fujita
Reika Nomura
Shuji Moriguchi
Yu Otake
Shunichi Koshimura
Randall J. LeVeque
Kenjiro Terada
author_sort Saneiki Fujita
collection DOAJ
description Abstract In this study, we present an optimization method for determining a cost‐effective sparse configuration for tsunami gauges to realize the reconstruction of high‐resolution wave height distribution throughout the target region based on the concept of super‐resolution. This optimization method consists of three procedures. First, we generate time series data of tsunami wave heights at synthetic gauges by conducting numerical simulations of various earthquake and tsunami scenarios at the target site. Next, we apply proper orthogonal decomposition to the synthetic tsunami data to extract the spatial features of the wave height distribution. Finally, according to these spatial features, an optimization process is performed to determine a sparse configuration of synthetic gauges. In the optimization, the optimal gauges are sequentially selected from the set of synthetic gauges to reconstruct the wave height distribution with the highest accuracy. Targeting hypothetical Nankai Trough earthquakes and tsunamis, we determine the optimal configuration near Shikoku and demonstrate the wave height reconstruction capability of the approach by comparing the performance of networks with optimally and randomly placed gauges. The results indicate that coastal gauges contribute more to improving the reconstruction accuracy and that a configuration with 21 optimal gauges has satisfactory performance. In addition, we assess the performance of the existing NOWPHAS network installed in the Shikoku region and find that the reconstruction performance of the existing network is equivalent to that of the optimal gauge network.
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spelling doaj.art-89680a84b8c44f258887cc325cdf82292024-02-29T13:15:57ZengAmerican Geophysical Union (AGU)Earth and Space Science2333-50842024-02-01112n/an/a10.1029/2023EA003144Optimization of a Tsunami Gauge Configuration for Pseudo‐Super‐Resolution of Wave Height DistributionSaneiki Fujita0Reika Nomura1Shuji Moriguchi2Yu Otake3Shunichi Koshimura4Randall J. LeVeque5Kenjiro Terada6Department of Civil and Environmental Engineering Tohoku University Sendai JapanInternational Research Institute of Disaster Science, Tohoku University Sendai JapanInternational Research Institute of Disaster Science, Tohoku University Sendai JapanDepartment of Civil and Environmental Engineering Tohoku University Sendai JapanInternational Research Institute of Disaster Science, Tohoku University Sendai JapanInternational Research Institute of Disaster Science, Tohoku University Sendai JapanInternational Research Institute of Disaster Science, Tohoku University Sendai JapanAbstract In this study, we present an optimization method for determining a cost‐effective sparse configuration for tsunami gauges to realize the reconstruction of high‐resolution wave height distribution throughout the target region based on the concept of super‐resolution. This optimization method consists of three procedures. First, we generate time series data of tsunami wave heights at synthetic gauges by conducting numerical simulations of various earthquake and tsunami scenarios at the target site. Next, we apply proper orthogonal decomposition to the synthetic tsunami data to extract the spatial features of the wave height distribution. Finally, according to these spatial features, an optimization process is performed to determine a sparse configuration of synthetic gauges. In the optimization, the optimal gauges are sequentially selected from the set of synthetic gauges to reconstruct the wave height distribution with the highest accuracy. Targeting hypothetical Nankai Trough earthquakes and tsunamis, we determine the optimal configuration near Shikoku and demonstrate the wave height reconstruction capability of the approach by comparing the performance of networks with optimally and randomly placed gauges. The results indicate that coastal gauges contribute more to improving the reconstruction accuracy and that a configuration with 21 optimal gauges has satisfactory performance. In addition, we assess the performance of the existing NOWPHAS network installed in the Shikoku region and find that the reconstruction performance of the existing network is equivalent to that of the optimal gauge network.https://doi.org/10.1029/2023EA003144sparse sensor placement problemoptimizationproper orthogonal decomposition (POD)super‐resolutiontsunami
spellingShingle Saneiki Fujita
Reika Nomura
Shuji Moriguchi
Yu Otake
Shunichi Koshimura
Randall J. LeVeque
Kenjiro Terada
Optimization of a Tsunami Gauge Configuration for Pseudo‐Super‐Resolution of Wave Height Distribution
Earth and Space Science
sparse sensor placement problem
optimization
proper orthogonal decomposition (POD)
super‐resolution
tsunami
title Optimization of a Tsunami Gauge Configuration for Pseudo‐Super‐Resolution of Wave Height Distribution
title_full Optimization of a Tsunami Gauge Configuration for Pseudo‐Super‐Resolution of Wave Height Distribution
title_fullStr Optimization of a Tsunami Gauge Configuration for Pseudo‐Super‐Resolution of Wave Height Distribution
title_full_unstemmed Optimization of a Tsunami Gauge Configuration for Pseudo‐Super‐Resolution of Wave Height Distribution
title_short Optimization of a Tsunami Gauge Configuration for Pseudo‐Super‐Resolution of Wave Height Distribution
title_sort optimization of a tsunami gauge configuration for pseudo super resolution of wave height distribution
topic sparse sensor placement problem
optimization
proper orthogonal decomposition (POD)
super‐resolution
tsunami
url https://doi.org/10.1029/2023EA003144
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