跳转至

Modeling

Parameters

  • epsilon: relative permittivity (dimensionless).
  • sigma: electrical conductivity (S/m).
  • mu: relative permeability (dimensionless).

For physically meaningful setups: - epsilon must be strictly positive. - mu is typically 1.0 for non-magnetic media. - sigma should be non-negative for passive media.

Units

The public API is SI-compatible: - grid_spacing: meters - dt: seconds - sigma: S/m - epsilon, mu: relative values

Grid and Shapes

  • Model tensors: [ny, nx].
  • Sources: source_amplitude [n_shots, n_sources, nt].
  • Source/receiver indices: [n_shots, n_{src/rec}, 2].
  • Returned receiver data: [nt, n_shots, n_receivers].

For 3D: - Model tensors: [nz, ny, nx] - Source/receiver indices: [n_shots, n_points, 3] in [z, y, x]

Constraints and Masks

  • epsilon > 0, mu > 0 are required.
  • Source/receiver coordinates must remain in model bounds.
  • stencil: 2 for exploratory runs, 4 or higher for reduced dispersion.
  • pml_width: 8 to 20 depending on frequency content and grid size.
  • dtype: float32 for most workloads, float64 for strict numerical studies.