Seafloor Topography Estimation from Gravity: Theory and Applications

Name: Seafloor Topography Estimation from Gravity: Theory and Applications
Brand: EDP sciences
Price: 219.9 EUR
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EDP sciences (Verlag)

Erschienen am 9. April 2024

140 Seiten

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978-2-7598-3197-5 (ISBN)

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Inhalt

Intro
Seafloor Topography Estimation from Gravity: Theory and Applications
Preface
About the Author
Contents
Introduction
Background
Previous Studies
Global Seafloor Topography Estimation from Altimetry-Derived Gravity
Sub-Ice-Shelf Seafloor Topography Estimation from Airborne Gravity
Objective
Relationship Between Topography and Gravity
Relationship in the Frequency Domain
Parker's Theory
Forsberg's Method
Relationships of Gravity Anomaly and Gravity Gradient to Topography
Admittance Theory
Advantages and Limitations of Using the Gravity Gradient
Relationship in the Spatial Domain
The Gravitational Gradients Due to a Right Rectangular Prism
The Gravity Anomalies Due to a Right Rectangular Prism
Errors Associated with Gradient Inversion Techniques
Truncation and Resolution Errors in the Forward Computation
Summary of Other Error Sources
Estimation Methodology
Seafloor Topography Estimation Based on Fourier Transform
Analysis of the Nonlinear Terms
Validity of the Linear Approximation
Introduction to the Coherency
Coherency for Finite Power Signals
Radially Symmetric Coherency
Coherency for Signals on the Sphere
Seafloor Topography Estimation Using Simulated Annealing
Introduction to the Simulated Annealing
Seafloor Topography Estimation from Gravity Gradients
Seafloor Topography Estimation from Gravity Anomalies
Difference Between Simulated Annealing and Parker's Method
Numerical Experiment
Study Area Description
Estimation Using Parker's Formulation
Data Preparation
Data Filtering
Determination of Topography-to-Gradient Admittance Scale
Results and Evaluation
Results After Including Shorter Wavelengths
Estimation Using Simulated Annealing
Analysis of the Forward Computation in the SA
Data Preparation and SA Configuration
Results of the Simulated Annealing
Low-Pass Filtering the Estimated Seafloor Topography
Evaluation
Other Tests of the Simulated Annealing Algorithm
Comparison of the Estimation Results
Comparison with the SIO Topography Model
Comparison Between the Two Methods
Conclusions
Estimation from Airborne Gravity Gradients
Airborne Gravity Gradients and Multibeam Bathymetry
Inversion Parameters
Analysis and Removal of the Non-Terrain Effects
Results, Evaluation, and Discussion
Conclusions
Seafloor Topography Offshore Northeast Greenland
Introduction
Data and Methods
Airborne Gravity
Bathymetric Data
Inversion Parameters
Results and Evaluation
Accuracy Evaluation
Seafloor Topography
Discussion
Topographic Steering of Ocean Currents
Errors Associated with Gravity Inversion Techniques
Conclusions
Seafloor Topography Beneath the Amery Ice Shelf, East Antarctica
Introduction
Data and Methods
Airborne Gravity
Laser Altimeter and Ice-Penetrating Radar Data
Hydrographic Data
Inversion Parameters
Results
New Bathymetric Model
Water Masses Arriving at the AmIS
Discussion
Topographic Steering of Ocean Currents
Conclusions
References
Appendix A The Spherical Harmonics of the Gravity Anomaly
Appendix B Pseudo-Code for the Adaptive Simulated Annealing

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