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The popular classifications are summarized below:
| Number of phases | Number of wells |
|---|
| Equation Linearity | Computation Sceme | Spatial dimension | |
|---|---|---|---|
| Single-phase | Single-well | Linear | Analytical |
| 0D | ||||
| Multi-phase | Multi-well | Pseudo-Linear | Numerical | 1D |
| Non-Linear | 2D | |||
| 3D |
The usual combination are:
| Linear Analytical 1D | Pseudo-Linear Analytical 1D |
|---|
| Non-Linear Numerical 2D/3D | ||
|---|---|---|
| Single-phase Linear Analytical 1D | Single-phase Pseudo-Linear Analytical 1D | Multi-phase Non-Linear Numerical 2D |
| Multi-phase Linear Analytical 1D | Multi-phase Pseudo-Linear Analytical 1D | Multi-phase Non-Linear Numerical 3D |
In many practical cases a pressure diffusion process is honouring some PDE with constant coefficients availing a number of very efficient computational and diagnostic techniques:
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