There is a large number of various pressure diffusion models.
The popular classifications are summarized 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 a pressure diffusion process is honouring some PDE with constant coefficients availing a number of very efficient computational and diagnostic techniques:
| Time Convolution | Spatial Superposition |
|---|---|
| Pressure convolution model | Pressure superposition model |
| Pressure deconvolution model | Pressure decomposition model |
In some cases a pressure diffusion process can be fairly approximated by a hybrid model based on PDE with constant coefficients and Pseudo Pressure and Pseudo Time.
There is a number of specific pressure diffusion models which represent the key practical scenarios of pressure diffusion and play important academical and practical role:
See also
Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Pressure Diffusion
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing / Pressure Testing
[ Slightly Compressible Flow ] [ Pseudo Pressure ] [ Pseudo Time ]
[ Radial Flow Pressure Diffusion @model ] [ Linear Flow Pressure Diffusion @model ]