Home Modeling the gravitational effects of ocean tide loading at coastal stations in the China earthquake gravity network based on GOTL software
Article
Licensed
Unlicensed Requires Authentication

Modeling the gravitational effects of ocean tide loading at coastal stations in the China earthquake gravity network based on GOTL software

  • Chuandong Zhu ORCID logo EMAIL logo , Liuqing Pang , Didi Sheng , Jialiang Huang and Jinwu Li
Published/Copyright: November 3, 2022
Become an author with De Gruyter Brill

Abstract

The gravitational effects of ocean tide loading, which are one of the main factors affecting gravity measurements, consist of three components: (1) direct attraction from the tidal water masses, (2) radial displacement of the observing station due to the tidal load, and (3) internal redistribution of masses due to crustal deformation. In this study, software for gravitational effects of ocean tide loading was developed by evaluating a convolution integral between the ocean tide model and Green’s functions that describe the response of the Earth to tide loading. The effects of three-dimensional station coordinates, computational grid patterns, ocean tide models, Green’s functions, coastline, and local tide gauge were comprehensively considered in the programming process. Using a larger number of high-precision coastlines, ocean tide models, and Green’s functions, the reliability and applicability of the software were analyzed at coastal stations in the China Earthquake Gravity Network. The software can provide the amplitude and phase for ocean tide loading and produce a predicted gravity time series. The results can effectively reveal the variation characteristics of ocean tide loading in space and time. The computational gravitational effects of ocean tide loading were compared and analyzed for different ocean tide models and Green’s functions. The results show that different ocean tide models and Green’s functions have certain effects on the calculated values of loading gravity effects. Furthermore, a higher-precision local ocean tide model, digital elevation model, and local tidal gauge record can be further imported into our software to improve the accuracy of loading gravity effects in the global and local zones. The software is easy to operate and can provide a comprehensive platform for correcting the gravitational effects of ocean tide loading at stations in the China Earthquake Gravity Network.


Corresponding author: Chuandong Zhu, The First Monitoring and Application Center, CEA, Tianjin, China, E-mail:

Funding source: The Science for Earthquake Resilience

Award Identifier / Grant number: XH22016YA, XH22017YA

Funding source: The Science and Technology Innovation Fund of the First Monitoring and Application Center, CEA

Award Identifier / Grant number: FMC2022001

Funding source: National Key Research and Development Program of China

Award Identifier / Grant number: 2018YFC1503606

Acknowledgments

We acknowledge the AVISO, CEOAS, NAOJ, DGFI, DTU, and CSR for providing the ocean tide models and NOAA for providing GSHHG data. We also acknowledge Bos–Scherneck for providing computational results of ocean tide loading, Wang H L for providing computational results of Green’s functions for PREM, iasp91, ak135, and modified PREM-soft, PREM-hard. CGIAR for providing SRTM DEM data. The figures are generated using the Generic Mapping Tools software.

  1. Author contributions: CDZ contributed to the design of the study, data processing, analysis of results, and manuscript writing. LQP contributed to reviewing and editing the manuscript. DDS, JLH and JWL contributed to data processing.

  2. Research funding: This study was funded by The Science and Technology Innovation Fund of the First Monitoring and Application Center, CEA (NO. FMC2022001), National Key Research and Development Program of China (NO. 2018YFC1503606), and The Science for Earthquake Resilience (No. XH22016YA, XH22017YA).

  3. Conflict of interest: All the authors declare no competing financial and non-financial interests.

References

1. Chen, YT, Gu, HD, Xun, LZ. Variations of gravity before and after the Haicheng earthquake, 1975, and the Tangshan earthquake, 1976. Phys Earth Planet In 1979;18:330–8.10.1016/0031-9201(79)90070-0Search in Google Scholar

2. Li, RH, Huang, JL, Li, H, Chen, DS. The mechanism of regional gravity changes before and after the Tangshan earthquake. Acta Seismol Sin 1997;10:497–500. https://doi.org/10.1007/s11589-997-0058-3.Search in Google Scholar

3. Li, H, Shen, CY, Sun, SA, Wang, XQ, Xiang, AM, Liu, SM. Dynamic gravity change in recent years in China continent. J Geodesy Geodyn 2009;29:1–10.Search in Google Scholar

4. Zhu, YQ, Liu, F, Zhang, GQ, Xu, Y. Development and prospect of mobile gravity monitoring and earthquake forecasting in recent ten years in China. J Geodesy Geodyn 2019;10:485–91. https://doi.org/10.1016/j.geog.2019.05.006.Search in Google Scholar

5. Shen, CC, Zhu, YQ, Hu, MZ, Tan, HB, Hao, HT, Wei, J, et al.. Time-varying gravity field monitoring and strong earthquake prediction on the Chinese mainland. Earthq Res China 2020;36:729–43.Search in Google Scholar

6. Crossley, D, Hinderer, J, Riccardi, U. The measurement of surface gravity. Rep Prog Phys 2013;76:046101.10.1088/0034-4885/76/4/046101Search in Google Scholar PubMed

7. Van Camp, M, de Viron, O, Watlet, A, Meurers, B, Francis, O, Caudron, C. Geophysics from terrestrial time-variable gravity measurements. Rev Geophys 2017;55:938–92. https://doi.org/10.1002/2017rg000566.Search in Google Scholar

8. Farrell, WE. Deformation of the Earth by surface loads. Rev Geophys 1972;10:761–97. https://doi.org/10.1029/rg010i003p00761.Search in Google Scholar

9. Schwiderski, EW. Ocean tides, part I: global ocean tidal equations. Mar Geodes 1980;3:161–217. https://doi.org/10.1080/01490418009387997.Search in Google Scholar

10. Schwiderski, EW. Ocean tides, part II: a hydrodynamical interpolation model. Mar Geodes 1980;3:219–55. https://doi.org/10.1080/01490418009387998.Search in Google Scholar

11. Lyard, F, Lefevre, F, Letellier, T, Francis, O. Modelling the global ocean tides: modern insights from FES2004. Ocean Dynam 2006;56:394–415. https://doi.org/10.1007/s10236-006-0086-x.Search in Google Scholar

12. Eanes, R. The CSR 3.0 global ocean tide model, center for space research. Austin, Texas: Technical Memorandum; 1995, 95.Search in Google Scholar

13. Ray, RD. A global ocean tide model from TOPEX/POSEIDON altimetry: GOT99. 2. Greenbelt, MD: National Aeronautics and Space Administration, Goddard Space Flight Center; 1999.Search in Google Scholar

14. Matsumoto, K, Takanezawa, T, Ooe, M. Ocean tide models developed by assimilating TOPEX/POSEIDON altimeter data into hydrodynamical model: a global model and a regional model around Japan. J Oceanogr 2000;56:567–81. https://doi.org/10.1023/a:1011157212596.10.1023/A:1011157212596Search in Google Scholar

15. Egbert, GD, Erofeeva, SY. Efficient inverse modeling of barotropic ocean tides. J Atmos Ocean Technol 2002;19:183–204. https://doi.org/10.1175/1520-0426(2002)019<0183:eimobo>2.0.co;2.10.1175/1520-0426(2002)019<0183:EIMOBO>2.0.CO;2Search in Google Scholar

16. Savcenko, R, Bosch, W. EOT11a-empirical ocean tide model from multi-mission satellite altimetry. München: Deutsches Geodätisches Forschungsinstitut; 2012.Search in Google Scholar

17. Cheng, Y, Andersen, OB. Improvement in global ocean tide model in shallow water regions. Poster 2010;45:1–68.Search in Google Scholar

18. Fok, HS. Ocean tides modeling using satellite altimetry. Columbus: The Ohio State University; 2012.Search in Google Scholar

19. Taguchi, E, Stammer, D, Zahel, W. Inferring deep ocean tidal energy dissipation from the global high-resolution data-assimilative HAMTIDE model. J Geophys Res: Oceans 2014;119:4573–92. https://doi.org/10.1002/2013jc009766.Search in Google Scholar

20. Shum, CK, Woodworth, PL, Andersen, OB, Egbert, GD, Francis, O, King, C, et al.. Accuracy assessment of recent ocean tide models. J Geophys Res: Oceans 1997;102:25173–94. https://doi.org/10.1029/97jc00445.Search in Google Scholar

21. Stammer, D, Ray, RD, Andersen, OB, Arbic, BK, Bosch, W, Carrère, L, et al.. Accuracy assessment of global barotropic ocean tide models. Rev Geophys 2014;52:243–82. https://doi.org/10.1002/2014rg000450.Search in Google Scholar

22. Cheng, Y, Andersen, OB. Multimission empirical ocean tide modeling for shallow waters and polar seas. J Geophys Res: Oceans 2011;116:1–11. https://doi.org/10.1029/2011jc007172.Search in Google Scholar

23. Longman, IM. Computation of Love numbers and load deformation coefficients for a model Earth. Geophys J Int 1966;11:133–7. https://doi.org/10.1111/j.1365-246x.1966.tb03495.x.Search in Google Scholar

24. Longman, IMA. Green’s function for determining the deformation of the Earth under surface mass loads: 2. Computations and numerical results. J Geophys Res 1963;68:485–96. https://doi.org/10.1029/jz068i002p00485.Search in Google Scholar

25. Dziewonski, AM, Anderson, DL. Preliminary reference earth model. Phys Earth Planet In 1981;25:297–356. https://doi.org/10.1016/0031-9201(81)90046-7.Search in Google Scholar

26. Wang, HS, Xiang, LW, Jia, LL, Jiang, L, Wang, Z, Hu, B, et al.. Load Love numbers and Green’s functions for elastic Earth models PREM, iasp91, ak135, and modified models with refined crustal structure from Crust 2.0. Comput Geosci 2012;49:190–9. https://doi.org/10.1016/j.cageo.2012.06.022.Search in Google Scholar

27. Agnew, DC. SPOTL: some programs for ocean-tide loading. SIO Ref. Ser. 96–8. Calif: Scripps Instit of Oceanogr, La Jolla; 1996:35 p.Search in Google Scholar

28. Agnew, DC. NLOADF: a program for computing ocean-tide loading. J Geophys Res Solid Earth 1997;102:5109–10. https://doi.org/10.1029/96jb03458.Search in Google Scholar

29. Agnew, DC. SPOTL: some programs for ocean-tide loading (SIO Technical Report). Los Angeles, California: Scripps Institution of Oceanography. University of California; 2012.Search in Google Scholar

30. Scherneck, HG, Bos, M. Ocean tide loading provider. Available from: http://holt.oso.chalmers.se/loading/.Search in Google Scholar

31. Matsumoto, K, Sato, T, Takanezawa, T, Ooe, M. GOTIC2: a program for computation of oceanic tidal loading effect. J Geodetic Soc Jpn 2001;47:243–8.Search in Google Scholar

32. Hwang, C, Huang, JF. SGOTL: a computer program for modeling high-resolution, height-dependent gravity effect of ocean tide loading. Terr Atmos Ocean Sci 2012;23:219–29. https://doi.org/10.3319/tao.2011.10.06.02(oc).Search in Google Scholar

33. Martens, HR, Rivera, L, LoadDef, SM. A Python-based toolkit to model elastic deformation caused by surface mass loading on spherically symmetric bodies. Earth Space Sci 2019;6:311–23. https://doi.org/10.1029/2018ea000462.Search in Google Scholar

34. Pagiatakis, SD. The response of a realistic earth to ocean tide loading. Geophys J Int 1990;103:541–60. https://doi.org/10.1111/j.1365-246x.1990.tb01790.x.Search in Google Scholar

35. Bos, MS, Scherneck, HG. Computation of Green’s functions for ocean tide loading. Sciences of Geodesy-II. Berlin, Heidelberg: Springer; 2013:1–52 pp.10.1007/978-3-642-28000-9_1Search in Google Scholar

36. Goad, CC. Gravimetric tidal loading computed from integrated Green’s functions. J Geophys Res Solid Earth 1980;85:2679–83. https://doi.org/10.1029/jb085ib05p02679.Search in Google Scholar

37. Francis, O, Mazzega, P. Global charts of ocean tide loading effects. J Geophys Res: Oceans 1990;95:11411–24. https://doi.org/10.1029/jc095ic07p11411.Search in Google Scholar

38. Wessel, P, Smith, WH. A global, self-consistent, hierarchical, high-resolution shoreline database. J Geophys Res Solid Earth 1996;101:8741–3. https://doi.org/10.1029/96jb00104.Search in Google Scholar

39. Farr, TG, Kobrick, M. Shuttle radar topography mission produces a wealth of data. Eos, Trans Am Geophys Union 2000;81:583–5. https://doi.org/10.1029/eo081i048p00583.Search in Google Scholar

40. Farr, TG, Rosen, PA, Caro, E, Crippen, R, Duren, R, Hensley, S, et al.. The shuttle radar topography mission. Rev Geophys 2007;45:1–43. https://doi.org/10.1029/2005rg000183.Search in Google Scholar

41. Agnew, DC. Conservation of mass in tidal loading computations. Geophys J Int 1983;72:321–5. https://doi.org/10.1111/j.1365-246x.1983.tb03786.x.Search in Google Scholar

42. Dickman, SR. Experiments in tidal mass conservation. Geophys J Int 1990;102:257–62. https://doi.org/10.1111/j.1365-246x.1990.tb00545.x.Search in Google Scholar

43. Zhou, MS, Liu, X, Yuan, JJ, Jin, X, Niu, Y, Guo, J, et al.. Seasonal variation of GPS-derived the principal ocean tidal constituents’ loading displacement parameters based on moving harmonic analysis in Hong Kong. Rem Sens 2021;13:279. https://doi.org/10.3390/rs13020279.Search in Google Scholar

44. Turcotte, DL. Geophysical geodesy: the slow deformations of the earth. Science 1989;244:995–6. https://doi.org/10.1126/science.244.4907.995.Search in Google Scholar

45. Okubo, S, Saito, M. Partial derivative of Love numbers. Bull Geod 1983;57:167–79. https://doi.org/10.1007/bf02520923.Search in Google Scholar

46. Mikolaj, M, Meurers, B, Güntner, A. Modelling of global mass effects in hydrology, atmosphere and oceans on surface gravity. Comput Geosci 2016;93:12–20. https://doi.org/10.1016/j.cageo.2016.04.014.Search in Google Scholar

47. Heck, B, Seitz, K. A comparison of the tesseroid, prism and point-mass approaches for mass reductions in gravity field modelling. J Geodes 2007;81:121–36. https://doi.org/10.1007/s00190-006-0094-0.Search in Google Scholar

48. Petit, G, Luzum, B. IERS technical note no. 36. Frankfurt am Main: Verlag des Bundesamts für Kartographie und Geodäsie; 2010. 179 p.Search in Google Scholar

49. International Geodynamics and Earth Tide Service. Available from: http://igets.u-strasbg.fr/soft_and_tool.php.Search in Google Scholar

50. Bos, MS, Baker, TF. An estimate of the errors in gravity ocean tide loading computations. J Geodes 2005;79:50–63. https://doi.org/10.1007/s00190-005-0442-5.Search in Google Scholar

51. Bos, MS, Baker, TF, Røthing, K, Plag, HP. Testing ocean tide models in the Nordic seas with tidal gravity observations. Geophys J Int 2002;150:687–94. https://doi.org/10.1046/j.1365-246x.2002.01729.x.Search in Google Scholar

52. Zhou, J, Hwang, C, Sun, H, Xu, J, Zhang, W, Kao, R, et al.. Precise determination of ocean tide loading gravity effect for absolute gravity stations in coastal area of China: effects of land–sea boundary and station coordinate. J Geodyn 2013;68:29–36. https://doi.org/10.1016/j.jog.2013.03.003.Search in Google Scholar

53. Lyard, FH, Allain, DJ, Cancet, M, Carrère, L, Picot, N. FES2014 global ocean tide atlas: design and performance. Ocean Sci 2021;17:615–49.10.5194/os-17-615-2021Search in Google Scholar

54. OSU TPXO tide models. Available from: https://www.tpxo.net/home.Search in Google Scholar

55. Lambert, A, Pagiatakis, SD, Billyard, AP, Dragert, H. Improved ocean tide loading corrections for gravity and displacement: Canada and northern United States. J Geophys Res Solid Earth 1998;103:30231–44. https://doi.org/10.1029/98jb02735.Search in Google Scholar

56. Goring, DG, Walters, RA. Ocean-tide loading and Earth tides around New Zealand. N Z J Mar Freshw Res 2002;36:299–309. https://doi.org/10.1080/00288330.2002.9517087.Search in Google Scholar

57. Yamamoto, K, Ishihara, K, Okubo, S, Araya, A. Accurate evaluation of ocean tide loading effects for gravity in nearshore region: the FG5 measurements at Sakurajima volcano in Kagoshima Bay, Japan. Geophys Res Lett 2001;28:1807–10. https://doi.org/10.1029/2000gl012431.Search in Google Scholar

58. Sun, HP, Hsu, HT, Jentzsch, G, Xu, JQ. Tidal gravity observations obtained with a superconducting gravimeter at Wuhan/China and its application to geodynamics. J Geodyn 2002;33:187–98. https://doi.org/10.1016/s0264-3707(01)00063-1.Search in Google Scholar

59. Boy, JP, Llubes, M, Ray, R, Hinderer, J, Florsch, N, Rosat, S, et al.. Non-linear oceanic tides observed by superconducting gravimeters in Europe. J Geodyn 2004;38:391–405. https://doi.org/10.1016/j.jog.2004.07.017.Search in Google Scholar

60. Khan, SA, Høyer, JL. Shallow-water loading tides in Japan from superconducting gravimetry. J Geodes 2004;78:245–50. https://doi.org/10.1007/s00190-003-0391-4.Search in Google Scholar

61. Neumeyer, J, del Pino, J, Dierks, O, Sun, HP, Pflug, H. Improvement of ocean loading correction on gravity data with additional tide gauge measurements. J Geodyn 2005;40:104–11. https://doi.org/10.1016/j.jog.2005.07.012.Search in Google Scholar

62. Lysaker, DI, Breili, K, Pettersen, BR. The gravitational effect of ocean tide loading at high latitude coastal stations in Norway. J Geodes 2008;82:569–83. https://doi.org/10.1007/s00190-007-0207-4.Search in Google Scholar

63. Goto, H, Sugihara, M, Nishi, Y, Ikeda, H. Simultaneous gravity measurements using two superconducting gravimeters to observe temporal gravity changes below the nm s−2 level: ocean tide loading differences at different distances from the coast. Geophys J Int 2021;227:1591–601. https://doi.org/10.1093/gji/ggab300.Search in Google Scholar


Supplementary Material

The online version of this article offers supplementary material (https://doi.org/10.1515/jag-2022-0023).


Received: 2022-07-27
Accepted: 2022-10-15
Published Online: 2022-11-03
Published in Print: 2023-01-27

© 2022 Walter de Gruyter GmbH, Berlin/Boston

Downloaded on 15.9.2025 from https://www.degruyterbrill.com/document/doi/10.1515/jag-2022-0023/html?lang=en
Scroll to top button