The usual classifications are summarised below:

Number of phasesNumber of wellsSolver type
Single-phase pressure diffusion modelSingle-wellAnalytical
Multi-phase pressure diffusion modelMulti-wellNumerical


In many practical cases the pressure diffusion processes honor PDE with constant coefficients which opens the following engines:

Time ConvolutionSpatial Superposition
Pressure convolution modelPressure superposition model
Pressure deconvolution modelPressure decomposition model


See also


Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing

Pressure diffusion ]