The popular classifications are summarised below:

Number of phasesNumber of wellsSolver typeSpatial dimension
Single-phaseSingle-wellAnalytical Linear0D
Multi-phaseMulti-wellAnalytical Pseudo-Linear1D


Numerical Linear2D


Numerical Non-Linear3D


In many practical cases a pressure diffusion process honors PDE with constant coefficients availing a number of very efficient computational and diagnostic 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 ]