{"title":"来自 20 多年 GRACE 和 GRACE-FO 全球重力场模型的残余和未建模海洋潮汐信号","authors":"Igor Koch, Mathias Duwe, Jakob Flury","doi":"10.1029/2024JB029345","DOIUrl":null,"url":null,"abstract":"<p>We analyze remaining ocean tide signal in K/Ka-band range-rate (RR) postfit residuals, obtained after estimation of monthly gravity field solutions from 21.5 years of Gravity Recovery and Climate Experiment (GRACE) and GRACE Follow-On sensor data. Low-pass filtered and numerically differentiated residuals are assigned to <span></span><math>\n <semantics>\n <mrow>\n <mn>5</mn>\n <mo>°</mo>\n <mo>×</mo>\n <mn>5</mn>\n <mo>°</mo>\n </mrow>\n <annotation> $\\mathrm{5}{}^{\\circ}\\times \\mathrm{5}{}^{\\circ}$</annotation>\n </semantics></math> grids and a spectral analysis is performed using Lomb-Scargle periodograms. We identified enhanced amplitudes at over 30 ocean tide periods. Spectral replicas revealed several tides from sub-semidiurnal bands. Increased ocean tide amplitudes are located in expected regions, that is, in high-latitude, coastal and shallow water regions, although some tides also show distinct patterns over the open ocean. While most identified tides are considered during processing, and therefore the amplitudes represent residual signal w.r.t. the ocean tide model, several unmodeled tides were found, including astronomical degree-3 tides <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mmultiscripts>\n <mi>M</mi>\n <mprescripts></mprescripts>\n <none></none>\n <mrow>\n <mn>3</mn>\n </mrow>\n </mmultiscripts>\n <mn>1</mn>\n </msub>\n </mrow>\n <annotation> ${{}^{3}\\mathrm{M}}_{1}$</annotation>\n </semantics></math>, <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mmultiscripts>\n <mi>N</mi>\n <mprescripts></mprescripts>\n <none></none>\n <mrow>\n <mn>3</mn>\n </mrow>\n </mmultiscripts>\n <mn>2</mn>\n </msub>\n </mrow>\n <annotation> ${{}^{3}\\mathrm{N}}_{2}$</annotation>\n </semantics></math>, <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mmultiscripts>\n <mi>L</mi>\n <mprescripts></mprescripts>\n <none></none>\n <mrow>\n <mn>3</mn>\n </mrow>\n </mmultiscripts>\n <mn>2</mn>\n </msub>\n </mrow>\n <annotation> ${{}^{3}\\mathrm{L}}_{2}$</annotation>\n </semantics></math>, <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mmultiscripts>\n <mi>M</mi>\n <mprescripts></mprescripts>\n <none></none>\n <mrow>\n <mn>3</mn>\n </mrow>\n </mmultiscripts>\n <mn>3</mn>\n </msub>\n </mrow>\n <annotation> ${{}^{3}\\mathrm{M}}_{3}$</annotation>\n </semantics></math>, and radiational and/or compound tides <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mi>S</mi>\n <mn>3</mn>\n </msub>\n </mrow>\n <annotation> ${\\mathrm{S}}_{3}$</annotation>\n </semantics></math>, <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mi>R</mi>\n <mn>3</mn>\n </msub>\n </mrow>\n <annotation> ${\\mathrm{R}}_{3}$</annotation>\n </semantics></math><span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mrow>\n <mo>/</mo>\n <mi>S</mi>\n <mi>K</mi>\n </mrow>\n <mn>3</mn>\n </msub>\n </mrow>\n <annotation> ${/\\mathrm{S}\\mathrm{K}}_{3}$</annotation>\n </semantics></math>, <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mi>T</mi>\n <mn>3</mn>\n </msub>\n </mrow>\n <annotation> ${\\mathrm{T}}_{3}$</annotation>\n </semantics></math><span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mrow>\n <mo>/</mo>\n <mi>S</mi>\n <mi>P</mi>\n </mrow>\n <mn>3</mn>\n </msub>\n </mrow>\n <annotation> ${/\\mathrm{S}\\mathrm{P}}_{3}$</annotation>\n </semantics></math>, <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mrow>\n <mn>2</mn>\n <mi>S</mi>\n <mi>M</mi>\n </mrow>\n <mn>2</mn>\n </msub>\n </mrow>\n <annotation> ${\\mathrm{2}\\mathrm{S}\\mathrm{M}}_{2}$</annotation>\n </semantics></math> and <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mrow>\n <mn>2</mn>\n <mi>M</mi>\n <mi>K</mi>\n </mrow>\n <mn>3</mn>\n </msub>\n </mrow>\n <annotation> ${\\mathrm{2}\\mathrm{M}\\mathrm{K}}_{3}$</annotation>\n </semantics></math><span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mrow>\n <mo>/</mo>\n <mi>M</mi>\n <mi>O</mi>\n </mrow>\n <mn>3</mn>\n </msub>\n </mrow>\n <annotation> ${/\\mathrm{M}\\mathrm{O}}_{3}$</annotation>\n </semantics></math>. The astronomical degree-3 tides were observed on a global level for the first time a few years ago in altimeter data. We are unaware of any global data-constrained solutions for the other tides. The amplitude patterns of these tides exhibit similarities to purely hydrodynamic solutions, and altimeter observations (astronomical degree-3 only). The sensitivity of the satellites to these rather small tidal effects demands their inclusion into the gravity field recovery processing to reduce orbit modeling errors and a possible aliasing. The conducted study shows enormous potential of RR postfit residuals analysis for validating ocean tide models and improving gravity field recovery processing strategies.</p>","PeriodicalId":15864,"journal":{"name":"Journal of Geophysical Research: Solid Earth","volume":"129 9","pages":""},"PeriodicalIF":3.9000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1029/2024JB029345","citationCount":"0","resultStr":"{\"title\":\"Residual and Unmodeled Ocean Tide Signal From 20+ Years of GRACE and GRACE-FO Global Gravity Field Models\",\"authors\":\"Igor Koch, Mathias Duwe, Jakob Flury\",\"doi\":\"10.1029/2024JB029345\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We analyze remaining ocean tide signal in K/Ka-band range-rate (RR) postfit residuals, obtained after estimation of monthly gravity field solutions from 21.5 years of Gravity Recovery and Climate Experiment (GRACE) and GRACE Follow-On sensor data. Low-pass filtered and numerically differentiated residuals are assigned to <span></span><math>\\n <semantics>\\n <mrow>\\n <mn>5</mn>\\n <mo>°</mo>\\n <mo>×</mo>\\n <mn>5</mn>\\n <mo>°</mo>\\n </mrow>\\n <annotation> $\\\\mathrm{5}{}^{\\\\circ}\\\\times \\\\mathrm{5}{}^{\\\\circ}$</annotation>\\n </semantics></math> grids and a spectral analysis is performed using Lomb-Scargle periodograms. We identified enhanced amplitudes at over 30 ocean tide periods. Spectral replicas revealed several tides from sub-semidiurnal bands. Increased ocean tide amplitudes are located in expected regions, that is, in high-latitude, coastal and shallow water regions, although some tides also show distinct patterns over the open ocean. While most identified tides are considered during processing, and therefore the amplitudes represent residual signal w.r.t. the ocean tide model, several unmodeled tides were found, including astronomical degree-3 tides <span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mmultiscripts>\\n <mi>M</mi>\\n <mprescripts></mprescripts>\\n <none></none>\\n <mrow>\\n <mn>3</mn>\\n </mrow>\\n </mmultiscripts>\\n <mn>1</mn>\\n </msub>\\n </mrow>\\n <annotation> ${{}^{3}\\\\mathrm{M}}_{1}$</annotation>\\n </semantics></math>, <span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mmultiscripts>\\n <mi>N</mi>\\n <mprescripts></mprescripts>\\n <none></none>\\n <mrow>\\n <mn>3</mn>\\n </mrow>\\n </mmultiscripts>\\n <mn>2</mn>\\n </msub>\\n </mrow>\\n <annotation> ${{}^{3}\\\\mathrm{N}}_{2}$</annotation>\\n </semantics></math>, <span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mmultiscripts>\\n <mi>L</mi>\\n <mprescripts></mprescripts>\\n <none></none>\\n <mrow>\\n <mn>3</mn>\\n </mrow>\\n </mmultiscripts>\\n <mn>2</mn>\\n </msub>\\n </mrow>\\n <annotation> ${{}^{3}\\\\mathrm{L}}_{2}$</annotation>\\n </semantics></math>, <span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mmultiscripts>\\n <mi>M</mi>\\n <mprescripts></mprescripts>\\n <none></none>\\n <mrow>\\n <mn>3</mn>\\n </mrow>\\n </mmultiscripts>\\n <mn>3</mn>\\n </msub>\\n </mrow>\\n <annotation> ${{}^{3}\\\\mathrm{M}}_{3}$</annotation>\\n </semantics></math>, and radiational and/or compound tides <span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mi>S</mi>\\n <mn>3</mn>\\n </msub>\\n </mrow>\\n <annotation> ${\\\\mathrm{S}}_{3}$</annotation>\\n </semantics></math>, <span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mi>R</mi>\\n <mn>3</mn>\\n </msub>\\n </mrow>\\n <annotation> ${\\\\mathrm{R}}_{3}$</annotation>\\n </semantics></math><span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mrow>\\n <mo>/</mo>\\n <mi>S</mi>\\n <mi>K</mi>\\n </mrow>\\n <mn>3</mn>\\n </msub>\\n </mrow>\\n <annotation> ${/\\\\mathrm{S}\\\\mathrm{K}}_{3}$</annotation>\\n </semantics></math>, <span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mi>T</mi>\\n <mn>3</mn>\\n </msub>\\n </mrow>\\n <annotation> ${\\\\mathrm{T}}_{3}$</annotation>\\n </semantics></math><span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mrow>\\n <mo>/</mo>\\n <mi>S</mi>\\n <mi>P</mi>\\n </mrow>\\n <mn>3</mn>\\n </msub>\\n </mrow>\\n <annotation> ${/\\\\mathrm{S}\\\\mathrm{P}}_{3}$</annotation>\\n </semantics></math>, <span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mrow>\\n <mn>2</mn>\\n <mi>S</mi>\\n <mi>M</mi>\\n </mrow>\\n <mn>2</mn>\\n </msub>\\n </mrow>\\n <annotation> ${\\\\mathrm{2}\\\\mathrm{S}\\\\mathrm{M}}_{2}$</annotation>\\n </semantics></math> and <span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mrow>\\n <mn>2</mn>\\n <mi>M</mi>\\n <mi>K</mi>\\n </mrow>\\n <mn>3</mn>\\n </msub>\\n </mrow>\\n <annotation> ${\\\\mathrm{2}\\\\mathrm{M}\\\\mathrm{K}}_{3}$</annotation>\\n </semantics></math><span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mrow>\\n <mo>/</mo>\\n <mi>M</mi>\\n <mi>O</mi>\\n </mrow>\\n <mn>3</mn>\\n </msub>\\n </mrow>\\n <annotation> ${/\\\\mathrm{M}\\\\mathrm{O}}_{3}$</annotation>\\n </semantics></math>. The astronomical degree-3 tides were observed on a global level for the first time a few years ago in altimeter data. We are unaware of any global data-constrained solutions for the other tides. The amplitude patterns of these tides exhibit similarities to purely hydrodynamic solutions, and altimeter observations (astronomical degree-3 only). The sensitivity of the satellites to these rather small tidal effects demands their inclusion into the gravity field recovery processing to reduce orbit modeling errors and a possible aliasing. The conducted study shows enormous potential of RR postfit residuals analysis for validating ocean tide models and improving gravity field recovery processing strategies.</p>\",\"PeriodicalId\":15864,\"journal\":{\"name\":\"Journal of Geophysical Research: Solid Earth\",\"volume\":\"129 9\",\"pages\":\"\"},\"PeriodicalIF\":3.9000,\"publicationDate\":\"2024-09-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1029/2024JB029345\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Geophysical Research: Solid Earth\",\"FirstCategoryId\":\"89\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1029/2024JB029345\",\"RegionNum\":2,\"RegionCategory\":\"地球科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"GEOCHEMISTRY & GEOPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Geophysical Research: Solid Earth","FirstCategoryId":"89","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1029/2024JB029345","RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"GEOCHEMISTRY & GEOPHYSICS","Score":null,"Total":0}
引用次数: 0
摘要
我们分析了 K/Ka 波段测距率(RR)后拟合残差中的剩余海洋潮汐信号,这些残差是在对 21.5 年重力恢复与气候实验(GRACE)和 GRACE Follow-On 传感器数据的月重力场解进行估计之后获得的。经过低通滤波和数值微分的残差被分配到 5 ° × 5 ° $\mathrm{5}{}^{\circ}\times \mathrm{5}{}^{\circ}$ 网格中,并使用 Lomb-Scargle 周期图进行光谱分析。我们确定了 30 多个海洋潮汐周期的增强振幅。频谱复制品显示了来自亚半日带的几个潮汐。增大的海潮振幅位于预期的区域,即高纬度、沿海和浅水区域,尽管有些潮汐在开阔的海洋上也显示出明显的模式。While most identified tides are considered during processing, and therefore the amplitudes represent residual signal w.r.t. the ocean tide model, several unmodeled tides were found, including astronomical degree-3 tides M 3 1 ${{}^{3}\mathrm{M}}_{1}$ , N 3 2 ${{}^{3}\mathrm{N}}_{2}$ , L 3 2 ${{}^{3}\mathrm{L}}_{2}$ , M 3 3 ${{}^{3}\mathrm{M}}_{3}$ , and radiational and/or compound tides S 3 ${\mathrm{S}}_{3}$ , R 3 ${\mathrm{R}}_{3}$ / S K 3 ${/\mathrm{S}\mathrm{K}}_{3}$ , T 3 ${\mathrm{T}}_{3}$ / S P 3 ${/\mathrm{S}\mathrm{P}}_{3}$ , 2 S M 2 ${\mathrm{2}\mathrm{S}\mathrm{M}}_{2}$ and 2 M K 3 ${\mathrm{2}\mathrm{M}\mathrm{K}}_{3}$ / M O 3 ${/\mathrm{M}\mathrm{O}}_{3}$ .
Residual and Unmodeled Ocean Tide Signal From 20+ Years of GRACE and GRACE-FO Global Gravity Field Models
We analyze remaining ocean tide signal in K/Ka-band range-rate (RR) postfit residuals, obtained after estimation of monthly gravity field solutions from 21.5 years of Gravity Recovery and Climate Experiment (GRACE) and GRACE Follow-On sensor data. Low-pass filtered and numerically differentiated residuals are assigned to grids and a spectral analysis is performed using Lomb-Scargle periodograms. We identified enhanced amplitudes at over 30 ocean tide periods. Spectral replicas revealed several tides from sub-semidiurnal bands. Increased ocean tide amplitudes are located in expected regions, that is, in high-latitude, coastal and shallow water regions, although some tides also show distinct patterns over the open ocean. While most identified tides are considered during processing, and therefore the amplitudes represent residual signal w.r.t. the ocean tide model, several unmodeled tides were found, including astronomical degree-3 tides , , , , and radiational and/or compound tides , , , and . The astronomical degree-3 tides were observed on a global level for the first time a few years ago in altimeter data. We are unaware of any global data-constrained solutions for the other tides. The amplitude patterns of these tides exhibit similarities to purely hydrodynamic solutions, and altimeter observations (astronomical degree-3 only). The sensitivity of the satellites to these rather small tidal effects demands their inclusion into the gravity field recovery processing to reduce orbit modeling errors and a possible aliasing. The conducted study shows enormous potential of RR postfit residuals analysis for validating ocean tide models and improving gravity field recovery processing strategies.
期刊介绍:
The Journal of Geophysical Research: Solid Earth serves as the premier publication for the breadth of solid Earth geophysics including (in alphabetical order): electromagnetic methods; exploration geophysics; geodesy and gravity; geodynamics, rheology, and plate kinematics; geomagnetism and paleomagnetism; hydrogeophysics; Instruments, techniques, and models; solid Earth interactions with the cryosphere, atmosphere, oceans, and climate; marine geology and geophysics; natural and anthropogenic hazards; near surface geophysics; petrology, geochemistry, and mineralogy; planet Earth physics and chemistry; rock mechanics and deformation; seismology; tectonophysics; and volcanology.
JGR: Solid Earth has long distinguished itself as the venue for publication of Research Articles backed solidly by data and as well as presenting theoretical and numerical developments with broad applications. Research Articles published in JGR: Solid Earth have had long-term impacts in their fields.
JGR: Solid Earth provides a venue for special issues and special themes based on conferences, workshops, and community initiatives. JGR: Solid Earth also publishes Commentaries on research and emerging trends in the field; these are commissioned by the editors, and suggestion are welcome.