Background Theory

• Governing Equations in 2.5D
• Finite Elements for 2.5D Electromagnetics
• Nonlinear EM Inversion
  • Minimizing \(U\)
  • Parallel Dense Matrix Computations
  • Finding the Optimal \(\mu\)
• Model Roughness
  • Spatial Gradient Roughness Operator
  • Minimum Gradient Support (MGS) Roughness Operator
  • Anisotropy Roughness Operator
• Data Uncertainties
  • Complex Data
  • Real and Imaginary
  • Amplitude
  • log10 Amplitude
  • Apparent Resistivity
  • Phase
  • A word of warning
• Bounding Inversion Parameters with Non-linear Transforms
  • Exponential Transform
  • Bandpass Transform
• Normalized Sensitivity
• Electromagnetic Reciprocity