Expert-level geophysics covering seismic methods, gravity and magnetics, electromagnetic methods, heat flow, Earth structure, and exploration geophysics.
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Crust: continental (35 km avg, granitic) and oceanic (7 km, basaltic). Mantle: upper (solid, peridotite) and lower, separated by transition zone. Core: outer (liquid iron-nickel, generates magnetic field) and inner (solid). Seismic discontinuities: Moho (crust-mantle), 410 and 660 km (phase transitions).
Body waves: P-waves (compressional) and S-waves (shear, not through liquids). Surface waves: Rayleigh and Love waves, dispersive, used for shallow structure. Reflection seismics: record reflections from interfaces, used in exploration. Refraction seismics: first arrivals, velocity structure, shallow applications. Tomography: 3D velocity models from travel time inversions.
Gravity anomaly: deviation from reference ellipsoid after corrections. Bouguer correction: removes effect of topographic mass. Magnetic anomaly: deviation from IGRF reference field. Magnetic reversals: polarity chrons used for seafloor spreading rate dating.
Resistivity: measures electrical resistance of subsurface. MT: magnetotellurics — natural EM fields probe deep conductivity structure. GPR: ground-penetrating radar, high resolution shallow imaging. EM induction: frequency-domain and time-domain methods for conductors.
| Pitfall | Fix |
|---|---|
| Non-uniqueness in inversions | Use multiple methods and geological constraints |
| Missing terrain corrections | Always apply free-air and Bouguer corrections |
| Confusing P and S wave arrivals | Use polarization analysis and moveout patterns |
| Static corrections in reflection seismic | Apply datum and refraction statics |
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Expert-level abstract algebra knowledge. Use when working with groups, rings, fields, modules, Galois theory, representation theory, or algebraic structures. Also use when the user mentions 'group', 'ring', 'field', 'homomorphism', 'isomorphism', 'normal subgroup', 'quotient group', 'Sylow theorem', 'Galois theory', 'polynomial ring', 'ideal', 'module', 'vector space', or 'representation theory'.
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Expert-level acoustics knowledge. Use when working with sound waves, acoustic propagation, resonance, standing waves, Doppler effect, room acoustics, ultrasound, noise control, musical acoustics, or architectural acoustics. Also use when the user mentions 'sound wave', 'decibel', 'frequency', 'resonance', 'standing wave', 'Doppler effect', 'acoustic impedance', 'reverberation', 'ultrasound', 'noise control', 'harmonics', or 'sound intensity'.
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Expert-level aerodynamics covering subsonic and supersonic flow, lift and drag, airfoil theory, boundary layers, compressible flow, and CFD methods.
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Expert-level air quality engineering covering pollutant sources, atmospheric dispersion, air quality standards, emission controls, and air quality modeling.
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Expert-level aircraft structures covering structural design philosophy, wing and fuselage analysis, fatigue and damage tolerance, composite structures, and certification.
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Expert-level algorithms and complexity theory covering sorting, searching, graph algorithms, dynamic programming, greedy algorithms, NP-completeness, and algorithm design paradigms.
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