Earth sciences
10 topics
Earth sciences
Geophysics
Geophysics applies physics to study the Earth's interior and surface. Seismic wave equations, potential field theory, and inverse problems are central mathematical tools.
Topics in this field
Earthquake Seismology
Moment tensors, seismic moment, and the Gutenberg-Richter law characterise earthquake sources and their statistical recurrence.
Electrical Methods
Resistivity surveys and IP measurements map subsurface conductivity by injecting current and measuring potential differences.
Geodesy
Reference ellipsoids, geoid undulations, GPS trilateration, and InSAR measure Earth's shape, gravity field, and crustal deformation.
Geostatistics
Variograms, kriging, and sequential simulation quantify spatial uncertainty in subsurface property estimation.
Gravity Methods
Bouguer anomalies and gravitational potential inversion reveal subsurface density contrasts.
Ground-Penetrating Radar
Electromagnetic wave propagation and reflection imaging reveal shallow subsurface structure with centimetre-scale resolution.
Magnetic Methods
Total-field anomaly maps, Euler deconvolution, and susceptibility inversion image subsurface magnetic sources.
Potential Field Theory
Laplace's equation, harmonic functions, and spherical harmonics underpin gravity and magnetic field modelling.
Seismic Tomography
Ray-path integrals and least-squares inversion map 3D velocity structure inside the Earth.
Seismic Waves
P and S waves, the elastic wave equation, and Snell's law govern how seismic energy travels through the Earth.