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A rotational ellipsoid model for solid Earth tide with high precision.

Yongfeng Yang1, Yunfei Zhang2, Qiang Liu2,3

  • 1Water Resources Comprehensive Development Center, Bureau of Water Resources of Shandong Province, Jinan, 250013, China. roufeng_yang@outlook.com.

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|November 18, 2024
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Summary
This summary is machine-generated.

A new geometric model accurately resolves solid Earth tide geometry and displacement, improving upon current models. This advancement benefits geodesy, geophysics, astronomy, and oceanography applications.

Keywords:
Geometry of ellipsoidSolid Earth tideSuperconducting gravityTidal displacement

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Area of Science:

  • Solid Earth physics
  • Geodesy
  • Gravimetry

Background:

  • The solid Earth tide's response to lunar and solar gravity is modeled as a prolate ellipsoid, but its precise geometry remains undetermined.
  • Conventional methods for calculating tidal displacement rely on complex potential equations and predefined Earth models.

Purpose of the Study:

  • To present a novel geometric model for resolving both the ellipsoid's geometry and tidal displacement.
  • To offer a more accurate and direct method compared to existing approaches.

Main Methods:

  • Developed a geometric model based on a rotating ellipse relative to the Moon (Sun).
  • Validated the model using 23 years of gravity data from 22 superconducting gravimeter (SG) stations.
  • Compared the geometric model's performance against the IERS (International Earth Rotation System) conventions (2010) model.

Main Results:

  • The geometric model achieved an average Root Mean Square (RMS) deviation of 6.47 µGal (2.07 cm) in gravity change.
  • The current IERS model showed a significantly higher average RMS deviation of 30.77 µGal (9.85 cm).

Conclusions:

  • The proposed geometric model provides a more accurate representation of solid Earth tide phenomena.
  • This model has significant potential applications in geodesy, geophysics, astronomy, and oceanography.