The popular classifications are summarised below:
| Number of phases | Number of wells | Solver type | Spatial dimension |
|---|---|---|---|
| Single-phase | Single-well | Analytical Linear | 0D |
| Multi-phase | Multi-well | Analytical Pseudo-Linear | 1D |
| Numerical Linear | 2D | ||
| Numerical Non-Linear | 3D |
In many practical cases the pressure diffusion processes honor PDE with constant coefficients which reveals opportunities to very efficient mathematical and diagnostic engines:
| Time Convolution | Spatial Superposition |
| Pressure convolution model | Pressure superposition model |
| Pressure deconvolution model | Pressure decomposition model |
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing