{"id":475889,"date":"2026-10-02T04:36:10","date_gmt":"2026-10-02T11:36:10","guid":{"rendered":"https:\/\/climatescience.press\/?p=475889"},"modified":"2026-10-02T04:36:12","modified_gmt":"2026-10-02T11:36:12","slug":"the-2025-kamchatka-tsunami-kept-the-pacific-ringing-for-hours-its-rhythm-could-improve-tsunami-warnings","status":"publish","type":"post","link":"https:\/\/climatescience.press\/?p=475889","title":{"rendered":"The 2025 Kamchatka Tsunami Kept the Pacific Ringing for Hours \u2014 Its Rhythm Could Improve Tsunami Warnings"},"content":{"rendered":"\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"723\" height=\"485\" data-attachment-id=\"475890\" data-permalink=\"https:\/\/climatescience.press\/?attachment_id=475890\" data-orig-file=\"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/0-The-2025-Kamchatka-Tsunami-Kept-the-Pacific-Ringing-for-Hours-%E2%80%94-Its-Rhythm-Could-Improve-Tsunami-Warnings.jpg?fit=1168%2C784&amp;ssl=1\" data-orig-size=\"1168,784\" data-comments-opened=\"1\" data-image-meta=\"{&quot;credit&quot;:&quot;\\u00fe&quot;,&quot;caption&quot;:&quot;Signature: 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&quot;}\" data-image-title=\"0 The 2025 Kamchatka Tsunami Kept the Pacific Ringing for Hours \u2014 Its Rhythm Could Improve Tsunami Warnings\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;Signature: Tie4OLPovJiXyccVWJKHlTG13niBfj7sZVEMQDLg\/3Sk5En0WrmFbrnpSWeQGUg9KnbYAQTuvdBCQ7JMBXuvRbjnFUXOQmKXxZAmTA1suLVzXZAEptLB\/pk1FxaKBmEMuU+ZzYQVUPnEzWkOwpY92eE6tYOAzW5UNNbSMug5EASddp4FFUlaQHKl\/gMvjY3HYPugSVLU+wkfHlNfquUrDZ8etw1dLbr9y80o4KkV6cYlCxOmdqSo6TAX3kHve7e+eQhAkyr7Pgp1onG5vWt1IvOL4Vmhn6iMgWpNinOgIGbu6ataeNLvu6Q1dYOjkde67IJAmbeVp1u1zbRQkp1XBD9H4xBHG1mGPqarUaFbz2PndMkYuijdjq0UishbEfHxg\/5idbhssevJ6w3XyDgPCxJv25ac5heLaW+iA4XPGJAFpQjFEyxm725VMy9FiFGXFsdJnHVWVRBi1SxigO0fCCuATMWN61Z6s1m1ADOrQhfgJ147cr2GL1aH3B+PEbmHer9acY\/XTb+S9roPccUkrYIE4VRsspQYt7qn8vmyjeLl1LB5HRRwGxVKWkzVnM9H33AWsB5hK6qr5gRSVSMhF6tUZaDQIYuS24TgXwzs0VcO3C83N0YUQTiJiMNXe11fRpOKnVJcIrwqy3st4z8vmZd6KYKq3f904+D8ib25R3GtbqXMCAmEetSnZPsu\/lhuM0eKW609fQzsJSpp6YRHyIMl9eCFVCLp7DHlDGskgfuGLqWYt566wsWBAOpeUAPKSVDYC95gbrlAw\/9diLKAyCD5nDIcIj7l3DmLc4eTmyPtW\/+dER9H8jIovZJGP4qpjexbxoiHhgbw1DfGaPKu8bekbsIgbw0QtHkAaCAMqIM2lbPrVrP+PAlztF30SQzx+cp3Pw9OONOaku6s6yh1L4lT5xW8OwY3u5tqzcZG0GaWjTERq+TJ6F7NU9PKNgCG&lt;\/p&gt;\n\" data-large-file=\"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/0-The-2025-Kamchatka-Tsunami-Kept-the-Pacific-Ringing-for-Hours-%E2%80%94-Its-Rhythm-Could-Improve-Tsunami-Warnings.jpg?fit=723%2C485&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/0-The-2025-Kamchatka-Tsunami-Kept-the-Pacific-Ringing-for-Hours-%E2%80%94-Its-Rhythm-Could-Improve-Tsunami-Warnings.jpg?resize=723%2C485&#038;ssl=1\" alt=\"Infographic detailing the 2025 Kamchatka tsunami, highlighting its magnitude 8.8 earthquake, the long-lasting waves recorded across the Pacific Ocean, and the potential for improved tsunami warnings through the analysis of its persistent rhythm.\" class=\"wp-image-475890\" srcset=\"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/0-The-2025-Kamchatka-Tsunami-Kept-the-Pacific-Ringing-for-Hours-%E2%80%94-Its-Rhythm-Could-Improve-Tsunami-Warnings.jpg?resize=1024%2C687&amp;ssl=1 1024w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/0-The-2025-Kamchatka-Tsunami-Kept-the-Pacific-Ringing-for-Hours-%E2%80%94-Its-Rhythm-Could-Improve-Tsunami-Warnings.jpg?resize=300%2C201&amp;ssl=1 300w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/0-The-2025-Kamchatka-Tsunami-Kept-the-Pacific-Ringing-for-Hours-%E2%80%94-Its-Rhythm-Could-Improve-Tsunami-Warnings.jpg?resize=768%2C516&amp;ssl=1 768w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/0-The-2025-Kamchatka-Tsunami-Kept-the-Pacific-Ringing-for-Hours-%E2%80%94-Its-Rhythm-Could-Improve-Tsunami-Warnings.jpg?resize=640%2C430&amp;ssl=1 640w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/0-The-2025-Kamchatka-Tsunami-Kept-the-Pacific-Ringing-for-Hours-%E2%80%94-Its-Rhythm-Could-Improve-Tsunami-Warnings.jpg?w=1168&amp;ssl=1 1168w\" sizes=\"auto, (max-width: 723px) 100vw, 723px\" \/><figcaption class=\"wp-element-caption\">AI generated by Grok<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>The 2025 Kamchatka tsunami (from the Mw 8.8 megathrust earthquake on 29 July 2025 off the Kamchatka Peninsula) produced long- lasting, coherent oscillations across the Pacific that persisted for many hours, and analysis of its dominant periods (its \u201crhythm\u201d) has potential value for improving tsunami warnings.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">On 29 July 2025 (23:24:52 UTC), an Mw 8.8 earthquake ruptured along the Kuril- Kamchatka Trench near Petropavlovsk- Kamchatsky. It generated a trans- Pacific tsunami with local run- ups reaching up to ~19 m near the source (and isolated higher splash values in steep valleys), while far- field waves were generally more moderate than initially feared (often \u22641- 2 m in many places, with some higher local values).  <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The event reactivated parts of the same margin as the larger 1952 Mw ~9.0 earthquake but with differences in rupture depth and slip distribution that limited the far- field tsunami energy relative to 1952.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A key observational feature was the prolonged \u201cringing\u201d of the Pacific basin: wave trains continued for many hours (reports of multi- hour to multi- day activity at some coastal and deep- ocean sites due to reflections, refraction, and multi-path arrivals). Deep- ocean <strong>DART <\/strong>buoys recorded clear signals that could be analyzed spectrally.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In a numerical modeling and analysis study led by Amin Rashidi with co-authors including Denys Dutykh (and Mohammad Mokhtari), researchers simulated the tsunami using an <strong>earthquake source model<\/strong> and compared results to <strong>six observed DART waveforms<\/strong>. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The simulations matched arrival times and amplitudes reasonably well. Fourier and wavelet analyses of the records showed a coherent long- period signal in the ~30- 70 min band, with station- specific peaks near 32, 43, and 64 min. These periods relate to the source dimensions and the basin- scale propagation characteristics.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The authors note that identifying such dominant periods supports tsunami hazard assessments for Kamchatka- type megathrust events and highlights the practical value of spectral and period analysis for Pacific warning systems. Knowing the characteristic<strong> \u201crhythm\u201d <\/strong>of the wave train can help refine forecasts of wave heights, arrival of maximum energy (which often comes later than the first wave), and the duration of elevated hazard, complementing traditional amplitude and arrival- time predictions.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Related work on the same event has examined rupture complexity (deeper slip limiting far- field energy), ionospheric and atmospheric signatures detectable via <strong>GNSS, SWOT satellite altimetry snapshots<\/strong>, and comparisons with the 1952 tsunami, all contributing to better understanding of source- to- basin effects.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In short, the long- lasting, spectrally coherent oscillations of the 2025 event provide both a validation benchmark for models and a potential operational cue (period content) that warning centers can incorporate to improve the quality and duration of alerts.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"723\" height=\"434\" data-attachment-id=\"475900\" data-permalink=\"https:\/\/climatescience.press\/?attachment_id=475900\" data-orig-file=\"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-11.png?fit=2000%2C1200&amp;ssl=1\" data-orig-size=\"2000,1200\" data-comments-opened=\"1\" data-image-title=\"image\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-11.png?fit=723%2C434&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-11.png?resize=723%2C434&#038;ssl=1\" alt=\"Map showing the USGS source model for a magnitude 8.8 earthquake, with slip distribution, and crustal deformation highlighting seafloor changes, alongside a tsunami amplitude map of the North Pacific Ocean.\" class=\"wp-image-475900\" srcset=\"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-11.png?resize=1024%2C614&amp;ssl=1 1024w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-11.png?resize=300%2C180&amp;ssl=1 300w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-11.png?resize=768%2C461&amp;ssl=1 768w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-11.png?resize=1536%2C922&amp;ssl=1 1536w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-11.png?resize=640%2C384&amp;ssl=1 640w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-11.png?w=2000&amp;ssl=1 2000w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-11.png?w=1446&amp;ssl=1 1446w\" sizes=\"auto, (max-width: 723px) 100vw, 723px\" \/><figcaption class=\"wp-element-caption\">The July 29, 2025 earthquake and its tsunami. Top left, the rupture model of the US Geological Survey used in our simulation: the fault surface off Kamchatka, cut into patches colored by their slip, with the epicenter (star) and the mechanism of the earthquake. Bottom left, the resulting rise (red) and fall (blue) of the seafloor. Right, the highest tsunami wave computed at every point of the Pacific; the dashed lines join the places that the waves reached at the same hour. Credit: Amin Rashidi, Denys Dutykh and Mohammad Mokhtari<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>DART <\/strong>stands for <strong>Deep- ocean Assessment and Reporting of Tsunamis.<\/strong> It is a real- time deep- ocean tsunami detection and monitoring network operated primarily by NOAA (U.S. National Oceanic and Atmospheric Administration), with contributions from other countries.<\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>How a DART system works<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Each DART station has two main components:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>Bottom Pressure Recorder (BPR) <\/strong>anchored on the seafloor (typically at depths of 1,000- 6,000 m). It measures changes in water pressure caused by the passage of a tsunami with very high sensitivity (down to ~1 cm of sea- surface height change).<\/li>\n\n\n\n<li>A <strong>surface buoy <\/strong>moored nearby that communicates with the BPR via acoustic signals and relays the data to shore via satellite (Iridium or GOES).<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Operating modes:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Standard mode:<\/strong> Routine low- rate transmissions (e.g., hourly summaries of 15-minute averages) for system health monitoring.<\/li>\n\n\n\n<li><strong>Event mode: <\/strong>Automatically triggered when the BPR detects a pressure change exceeding a threshold (or manually triggered by warning centers). It switches to high-frequency sampling and rapid transmission (15- second or 1- minute data) for several hours.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">These deep- ocean measurements are free of coastal amplification and shelf effects, so they provide a clean signal of the tsunami as it propagates across the open ocean.<\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>Network size and coverage<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The U.S. operates <strong>39 DART systems<\/strong>, strategically placed mainly in the Pacific, with additional coverage in the Atlantic, Gulf of Mexico, and Caribbean.<\/li>\n\n\n\n<li>Other countries maintain additional stations, bringing the global network to <strong>more than 60 systems.<\/strong><\/li>\n\n\n\n<li>Stations are positioned in regions with a history of generating destructive tsunamis to give the earliest possible detection far from shore.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Data flow in near real time to NOAA\u2019s two Tsunami Warning Centers (Pacific Tsunami Warning Center and National Tsunami Warning Center), where they are used to refine source estimates, update forecast models (e.g., MOST\/SIFT), and improve warnings of amplitude, arrival time, and duration.<\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>Role in the 2025 Kamchatka event<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In the July 2025 Mw 8.8 Kamchatka tsunami, multiple DART stations (including ones relatively near the source such as 21416) recorded clear signals. These waveforms were central to the Rashidi, Dutykh &amp; Mokhtari (2026) study: the authors compared numerical simulations against six DART records and performed Fourier\/wavelet analysis that revealed the coherent 30- 70 min dominant periods (with peaks near 32, 43 and 64 min). Early DART detections also helped constrain rupture extent and improve real- time forecasts during the event.<\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>Current status and modernization<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">NOAA continues to operate and maintain the array. Equipment modernization (funded in part by recent infrastructure investments) is underway to improve reliability and data availability, with replacements planned through the late 2020s. Historical and real-time data are archived and publicly available through <strong>NOAA\u2019s National Data Buoy Center (NDBC) <\/strong>and <strong>National Centers for Environmental Information (NCEI).<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>In short, the DART network is the primary deep- ocean \u201ceyes\u201d of modern tsunami warning systems. <\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">It supplies the critical open- ocean measurements that convert seismic information into quantitative forecasts of what is actually heading toward coastlines.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"723\" height=\"434\" data-attachment-id=\"475913\" data-permalink=\"https:\/\/climatescience.press\/?attachment_id=475913\" data-orig-file=\"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-12.png?fit=2000%2C1200&amp;ssl=1\" data-orig-size=\"2000,1200\" data-comments-opened=\"1\" data-image-title=\"image\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-12.png?fit=723%2C434&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-12.png?resize=723%2C434&#038;ssl=1\" alt=\"Map showing six deep-ocean buoys around the epicenter of an earthquake, with labeled buoy identifiers and data on the timing of first waves and highest wave heights.\" class=\"wp-image-475913\" srcset=\"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-12.png?resize=1024%2C614&amp;ssl=1 1024w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-12.png?resize=300%2C180&amp;ssl=1 300w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-12.png?resize=768%2C461&amp;ssl=1 768w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-12.png?resize=1536%2C922&amp;ssl=1 1536w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-12.png?resize=640%2C384&amp;ssl=1 640w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-12.png?w=2000&amp;ssl=1 2000w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-12.png?w=1446&amp;ssl=1 1446w\" sizes=\"auto, (max-width: 723px) 100vw, 723px\" \/><figcaption class=\"wp-element-caption\">The six deep-ocean stations of the DART network whose records we compared with our simulation (circles), and the epicenter of the earthquake (star). The table gives, for each station, the time at which the first waves arrived and the height of the highest wave, as recorded and as simulated from the earthquake alone. Credit: Denys Dutykh; coastlines: Natural Earth<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Fourier analysis<\/strong> and <strong>wavelet analysis<\/strong> are complementary mathematical tools used to study the frequency content (the \u201crhythm\u201d or dominant periods) of time-series signals such as the sea- level records from DART buoys.<\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\">1. <strong>Fourier Analysis<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Fourier analysis decomposes a signal into a sum of pure sinusoidal waves of different frequencies (or periods).<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Core idea:<\/strong> Any reasonably well- behaved time series can be expressed as a combination of sines and cosines of various frequencies, each with its own amplitude and phase.<\/li>\n\n\n\n<li>The result is a <strong>power spectrum<\/strong> (or periodogram) that shows how much energy is present at each frequency and period.<\/li>\n\n\n\n<li>In tsunami studies it answers the question: \u201cWhat are the dominant periods present in the entire record?\u201d<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Strengths:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Excellent for identifying the overall dominant periods in a stationary (statistically constant) signal.<\/li>\n\n\n\n<li>Computationally efficient (via the Fast Fourier Transform- FFT).<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Limitations:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>It loses all time information. You know which periods are strong, but not when they occurred or how they evolved.<\/li>\n\n\n\n<li>It assumes the signal\u2019s statistical properties do not change much over the whole record.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">In the 2025 Kamchatka paper, Fourier analysis of the DART records revealed a coherent energy band roughly between 30 and 70 minutes, with clear peaks near 32, 43 and 64 min.<\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\">2. <strong>Wavelet Analysis<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Wavelet analysis is a time-frequency method. It examines the signal with a set of \u201cwavelets\u201d, localized oscillating functions that can be stretched (to capture long periods) or compressed (to capture short periods) and slid along the time axis.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Core idea:<\/strong> Instead of one global spectrum, you obtain a <strong>scalogram<\/strong> (or time- frequency map) showing how the strength of each period changes over time.<\/li>\n\n\n\n<li>Common choice for geophysical signals is the <strong>Continuous Wavelet Transform (CWT)<\/strong>, often using a Morlet wavelet (a complex sinusoid modulated by a Gaussian envelope).<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Strengths:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Reveals when particular periods appear, strengthen, or decay.<\/li>\n\n\n\n<li>Handles non- stationary signals (tsunamis are highly non- stationary: the first arrival is different from later reflected or trapped waves).<\/li>\n\n\n\n<li>Useful for tracking the evolution of the wave train as it propagates and interacts with bathymetry.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Limitations:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Slightly more computationally intensive.<\/li>\n\n\n\n<li>There is a trade- off between time resolution and frequency resolution (controlled by the choice of wavelet and scales).<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">In the same Kamchatka study, the wavelet analysis confirmed that the 30- 70 min energy was coherent and persistent, and showed how the station- specific peaks evolved after the main arrival, information that a pure Fourier spectrum cannot provide.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>How they are typically combined for tsunami records<\/strong><\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li>Pre-process the DART time series (remove tides, de- spike, filter if needed).<\/li>\n\n\n\n<li>Apply Fourier analysis \u2192 global dominant periods.<\/li>\n\n\n\n<li>Apply wavelet analysis \u2192 time- frequency evolution of those periods.<\/li>\n\n\n\n<li>Interpret the results physically (source dimensions, dispersion, reflections, shelf resonances, etc.).<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">This combination is why the paper could confidently state that the tsunami \u201cgenerated a coherent 30- 70 min signal\u201d with specific peaks, and why such spectral information is valuable for improving tsunami warnings: knowing the characteristic rhythm helps forecast how long elevated water levels will last and when the largest waves are likely to arrive.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"723\" height=\"434\" data-attachment-id=\"475926\" data-permalink=\"https:\/\/climatescience.press\/?attachment_id=475926\" data-orig-file=\"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-13.png?fit=2000%2C1200&amp;ssl=1\" data-orig-size=\"2000,1200\" data-comments-opened=\"1\" data-image-title=\"image\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-13.png?fit=723%2C434&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-13.png?resize=723%2C434&#038;ssl=1\" alt=\"Graph showing sea level measurements from three buoys after an earthquake, detailing the time and height of the first tsunami waves and seismic activity. Buoy 21416 registered a maximum wave height of 85 cm after 27 minutes, Buoy 21414 recorded 26 cm after 97 minutes, and Buoy 21413 noted 8 cm after 144 minutes.\" class=\"wp-image-475926\" srcset=\"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-13.png?resize=1024%2C614&amp;ssl=1 1024w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-13.png?resize=300%2C180&amp;ssl=1 300w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-13.png?resize=768%2C461&amp;ssl=1 768w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-13.png?resize=1536%2C922&amp;ssl=1 1536w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-13.png?resize=640%2C384&amp;ssl=1 640w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-13.png?w=2000&amp;ssl=1 2000w, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/image-13.png?w=1446&amp;ssl=1 1446w\" sizes=\"auto, (max-width: 723px) 100vw, 723px\" \/><figcaption class=\"wp-element-caption\"><br><br><br><a href=\"https:\/\/scx2.b-cdn.net\/gfx\/news\/hires\/2026\/the-2025-kamchatka-tsu-2.jpg\" target=\"_blank\" rel=\"noopener\"><\/a>1 \/ 1<br>Sea level recorded at three of the stations, with the tide removed: the nearest to the source (top), one in the middle of the network and the farthest (bottom). Before the tsunami arrives, seismic waves from the earthquake shake the sensors (shaded). The red line marks the arrival of the first tsunami waves. At the nearest station the crest reached 85 centimeters, the second-largest reading in the history of the network. After the first waves, the sea keeps oscillating for many hours. Credit: Denys Dutykh; data: NOAA National Data Buoy Center<\/figcaption><\/figure>\n\n\n\n<p class=\"has-large-font-size wp-block-paragraph\"><strong>Primarily tsunami modeling of the <em>M<\/em><sub>w<\/sub> 8.8 Kamchatka Peninsula earthquake on July 29, 2025<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">An Mw 8.8 megathrust earthquake along the Kuril- Kamchatka Trench near the eastern coast of Petropavlovsk- Kamchatsky, Russia, on 29 July 2025 triggered a Pacific- wide tsunami with a reported maximum wave height of 19 m.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>The authors:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Performed numerical modeling of the tsunami.<\/li>\n\n\n\n<li>Analyzed six observed tsunami waveforms recorded at DART (Deep- ocean Assessment and Reporting of Tsunamis) gauges.<\/li>\n\n\n\n<li>Conducted Fourier and wavelet analyses to identify the dominant period range of the tsunami.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Main findings:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Simulated waveforms show a good fit with the recorded sea- level data.<\/li>\n\n\n\n<li>Wavelet, Fourier analysis reveals a coherent <strong>30- 70 min signal<\/strong>, with station- specific peaks at <strong>32, 43, and 64 min<\/strong> across the DART stations.<\/li>\n\n\n\n<li>Comparison of maximum simulated amplitudes and arrival times shows reasonable agreement with observations, supporting the reliability of the earthquake source model used.<\/li>\n\n\n\n<li>The results confirm that Kamchatka megathrust events can generate basin- wide tsunamis carrying coherent long-period energy.<\/li>\n\n\n\n<li>This supports existing tsunami hazard assessments and <strong>highlights the value of dominant- period (\u201crhythm\u201d) analysis for Pacific warning systems.<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The long- lasting coherent oscillations (the \u201cPacific ringing\u201d for many hours) and the characteristic periods are presented as useful diagnostic information that can help refine forecasts of wave- train duration, timing of maximum energy, and overall hazard persistence beyond first- arrival predictions.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The full text is behind a Springer paywall and subscription; only the abstract and some front- matter (figures list, references) is freely visible on the page.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Journal information:<\/strong> Natural Hazards, Volume 122, article 450 (2026)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>DOI:<\/strong> <a href=\"https:\/\/dx.doi.org\/10.1007\/s11069-026-08198-3\" target=\"_blank\" rel=\"noopener\">10.1007\/s11069-026-08198-3<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Published:<\/strong> 14 May 2026<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Authors:<\/strong> <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s11069-026-08198-3#auth-Amin-Rashidi-Aff1\">Amin Rashidi<\/a>,<br><a href=\"https:\/\/link.springer.com\/article\/10.1007\/s11069-026-08198-3#auth-Denys-Dutykh-Aff2\">Denys Dutykh<\/a> &amp;<br><a href=\"https:\/\/link.springer.com\/article\/10.1007\/s11069-026-08198-3#auth-Mohammad-Mokhtari-Aff3-Aff4\">Mohammad Mokhtari<\/a>&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Abstract<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">An <em>M<\/em><sub>w<\/sub> 8.8 megathrust earthquake along the Kuril\u2013Kamchatka Trench near the eastern coast of Petropavlovsk-Kamchatsky, Russia, on July 29, 2025, triggered a tsunami across the Pacific Ocean with a reported maximum wave height of 19 m. In this study, we perform numerical modeling of the tsunami generated by this event and analyze six observed tsunami waveforms recorded at DART tide gauges. Additionally, Fourier and wavelet analyses are conducted on these records to identify the dominant period range of the tsunami. Our simulated waveforms show a good fit with the recorded sea level data. Wavelet\u2013Fourier analysis shows the tsunami generated a coherent 30\u201370 min signal, with station-specific peaks at 32, 43, and 64 min across the DART stations. The comparison of maximum simulated tsunami wave amplitudes and arrivals shows reasonable agreement with recorded data, implying that the earthquake source model is capable of accurately reproducing the tsunami. These findings confirm that Kamchatka megathrust events can generate basin-wide tsunamis with coherent long-period energy, supporting existing tsunami hazard assessments, and highlighting the value of dominant period analysis for Pacific warning systems.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The 2025 Kamchatka tsunami (from the Mw 8.8 megathrust earthquake on 29 July 2025 off the Kamchatka Peninsula) produced long- lasting, coherent oscillations across the Pacific that persisted for many hours, and analysis of its dominant periods (its \u201crhythm\u201d) has potential value for improving tsunami warnings.<\/p>\n<p>DART stands for Deep- ocean Assessment and Reporting of Tsunamis. It is a real- time deep- ocean tsunami detection and monitoring network operated primarily by NOAA (U.S. National Oceanic and Atmospheric Administration), with contributions from other countries.<\/p>\n","protected":false},"author":121246920,"featured_media":475890,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","advanced_seo_description":"Explore the 2025 Kamchatka tsunami's lasting impact on the Pacific, featuring insights on wave patterns and improved warning systems.","jetpack_seo_html_title":"2025 Kamchatka Tsunami: Insights on Wave Patterns and Warnings","jetpack_seo_noindex":false,"jetpack_seo_schema_type":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_wpcom_ai_launchpad_first_post":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[1],"tags":[691845926,691845925,691845927,691845933,691845929,691845930,691845931,691845934,691845928,691845932],"class_list":["post-475889","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized","tag-2025-kamchatka-tsunami","tag-8-8-megathrust-earthquake","tag-ringing-of-the-pacific","tag-continuous-wavelet-transform-cwt","tag-dart","tag-deep-ocean-assessment-and-reporting-of-tsunamis","tag-fourier-analysis","tag-noaa-u-s-national-oceanic-and-atmospheric-administration","tag-six-observed-dart-waveforms","tag-wavelet-analysis","fallback-thumbnail"],"jetpack_publicize_connections":[],"jetpack_likes_enabled":true,"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/paxLW1-1ZND","jetpack-related-posts":[{"id":422590,"url":"https:\/\/climatescience.press\/?p=422590","url_meta":{"origin":475889,"position":0},"title":"Chinese 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slope adjacent to the retreating South Sawyer Glacier into Tracy Arm fjord.","rel":"","context":"In \"64 million cubic meters\"","block_context":{"text":"64 million cubic meters","link":"https:\/\/climatescience.press\/?tag=64-million-cubic-meters"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/05\/0-481-Meter-Monster-Climate-Driven-Landslide-Unleashes-Record-Tsunami-in-Alaskas-Busy-Cruise-Fjord.jpg?fit=1168%2C784&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/05\/0-481-Meter-Monster-Climate-Driven-Landslide-Unleashes-Record-Tsunami-in-Alaskas-Busy-Cruise-Fjord.jpg?fit=1168%2C784&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/05\/0-481-Meter-Monster-Climate-Driven-Landslide-Unleashes-Record-Tsunami-in-Alaskas-Busy-Cruise-Fjord.jpg?fit=1168%2C784&ssl=1&resize=525%2C300 1.5x, 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bin Sultan Living Oceans Foundation.","rel":"","context":"In \"2022 eruption\"","block_context":{"text":"2022 eruption","link":"https:\/\/climatescience.press\/?tag=2022-eruption"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2023\/04\/0tonga-volcano.jpeg?fit=1200%2C675&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2023\/04\/0tonga-volcano.jpeg?fit=1200%2C675&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2023\/04\/0tonga-volcano.jpeg?fit=1200%2C675&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2023\/04\/0tonga-volcano.jpeg?fit=1200%2C675&ssl=1&resize=700%2C400 2x, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2023\/04\/0tonga-volcano.jpeg?fit=1200%2C675&ssl=1&resize=1050%2C600 3x"},"classes":[]},{"id":469057,"url":"https:\/\/climatescience.press\/?p=469057","url_meta":{"origin":475889,"position":3},"title":"Anak Krakatau\u2019s 25-Hour Eruption Ends, But Volcano Remains on High Alert","author":"uwe.roland.gross","date":"09\/07\/2026","format":false,"excerpt":"Mount Anak Krakatau\u2019s roughly 25-hour continuous eruption ended in the early hours of September 6, 2026, but the volcano remains highly active at Alert Level III with a high chance of further eruptions. This YouTube video (\u201cThe World\u2019s Most Feared Volcano Just Roared Back To Life - And It\u2019s Terrifying,\u201d\u2026","rel":"","context":"In \"2018 Anak Krakatau event\"","block_context":{"text":"2018 Anak Krakatau event","link":"https:\/\/climatescience.press\/?tag=2018-anak-krakatau-event"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/09\/0-Anak-Krakataus-25-Hour-Eruption-Ends-But-Volcano-Remains-on-High-Alert.jpg?fit=1168%2C784&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/09\/0-Anak-Krakataus-25-Hour-Eruption-Ends-But-Volcano-Remains-on-High-Alert.jpg?fit=1168%2C784&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/09\/0-Anak-Krakataus-25-Hour-Eruption-Ends-But-Volcano-Remains-on-High-Alert.jpg?fit=1168%2C784&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/09\/0-Anak-Krakataus-25-Hour-Eruption-Ends-But-Volcano-Remains-on-High-Alert.jpg?fit=1168%2C784&ssl=1&resize=700%2C400 2x, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/09\/0-Anak-Krakataus-25-Hour-Eruption-Ends-But-Volcano-Remains-on-High-Alert.jpg?fit=1168%2C784&ssl=1&resize=1050%2C600 3x"},"classes":[]},{"id":343586,"url":"https:\/\/climatescience.press\/?p=343586","url_meta":{"origin":475889,"position":4},"title":"GROANER of the Week: Climate change-triggered landslide unleashes a 650-foot mega-tsunami","author":"uwe.roland.gross","date":"09\/18\/2024","format":false,"excerpt":"From the \u201canything and everything is caused by climate change\u201d department comes this groaner of a press release from UC San Diego\u2019s Scripps Institution of Oceanography.","rel":"","context":"In \"climate alarmism\"","block_context":{"text":"climate alarmism","link":"https:\/\/climatescience.press\/?tag=climate-alarmism"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2024\/09\/0Screenshot-2024-09-18-083116.png?fit=1200%2C875&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2024\/09\/0Screenshot-2024-09-18-083116.png?fit=1200%2C875&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2024\/09\/0Screenshot-2024-09-18-083116.png?fit=1200%2C875&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2024\/09\/0Screenshot-2024-09-18-083116.png?fit=1200%2C875&ssl=1&resize=700%2C400 2x, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2024\/09\/0Screenshot-2024-09-18-083116.png?fit=1200%2C875&ssl=1&resize=1050%2C600 3x"},"classes":[]},{"id":244583,"url":"https:\/\/climatescience.press\/?p=244583","url_meta":{"origin":475889,"position":5},"title":"Let\u2019s stop quakes with solar panels then?","author":"uwe.roland.gross","date":"02\/20\/2023","format":false,"excerpt":"A High Priest Ecologist has read the chicken entrails and prophesies that things will get worse. Your car creates earthquakes, volcanoes and tsunamis \u2014 unless it\u2019s an EV. It\u2019s hard to satirize this, it\u2019s too stupid.","rel":"","context":"Similar post","block_context":{"text":"Similar post","link":""},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2023\/02\/image-515.png?fit=848%2C565&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2023\/02\/image-515.png?fit=848%2C565&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2023\/02\/image-515.png?fit=848%2C565&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2023\/02\/image-515.png?fit=848%2C565&ssl=1&resize=700%2C400 2x"},"classes":[]}],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/climatescience.press\/wp-content\/uploads\/2026\/10\/0-The-2025-Kamchatka-Tsunami-Kept-the-Pacific-Ringing-for-Hours-%E2%80%94-Its-Rhythm-Could-Improve-Tsunami-Warnings.jpg?fit=1168%2C784&ssl=1","_links":{"self":[{"href":"https:\/\/climatescience.press\/index.php?rest_route=\/wp\/v2\/posts\/475889","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/climatescience.press\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/climatescience.press\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/climatescience.press\/index.php?rest_route=\/wp\/v2\/users\/121246920"}],"replies":[{"embeddable":true,"href":"https:\/\/climatescience.press\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=475889"}],"version-history":[{"count":49,"href":"https:\/\/climatescience.press\/index.php?rest_route=\/wp\/v2\/posts\/475889\/revisions"}],"predecessor-version":[{"id":475942,"href":"https:\/\/climatescience.press\/index.php?rest_route=\/wp\/v2\/posts\/475889\/revisions\/475942"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/climatescience.press\/index.php?rest_route=\/wp\/v2\/media\/475890"}],"wp:attachment":[{"href":"https:\/\/climatescience.press\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=475889"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/climatescience.press\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=475889"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/climatescience.press\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=475889"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}