Wave Equations and Seismic Modeling

The wave equation underlies everything in seismology. Derive it, discretize it, and run finite-difference propagation live in the browser, then compare full wavefield modeling against the convolutional shortcut interpreters actually use.

20 interactive sections across 6 books
Start here → Wave equation in 30 minutes, from Seismic Data Processing

Seismic Data Processing

  1. Wave equation in 30 minutes
  2. One-way wave-equation migration
  3. Reverse-Time Migration (RTM)
  4. Beam / Gaussian-beam migration
  5. Encoded FWI & computational strategies

Physics-Informed Neural Networks for Exploration Seismology

  1. The 1D acoustic wave equation
  2. Learned propagators for fast forward modelling
  3. Anisotropy: VTI and TTI media
  4. The 2D acoustic wave equation
  5. The classical FWI loss vs the PINN-FWI loss
  6. Vanilla MLPs and their limits
  7. Frequency-domain (Helmholtz) formulation
  8. Perfectly matched layers (PML)
  9. 1D layered medium: PINN vs analytic
  10. The eikonal equation and why PINNs love it

A Mathematician's Survey

  1. The Wave Equation

3D Seismic Interpretation

  1. Full-waveform inversion: matching observed to modeled waveforms

Seismic Acquisition

  1. Source radiation patterns
  2. Hydrophones and pressure sensing

Synthetic Seismic Modeling

  1. The Same Earth, Different Engines

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