There is a large number of various pressure diffusion models.

The popular classifications are summarized 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 is honoring some PDE with constant coefficients availing a number of very efficient computational and diagnostic techniques:

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


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:



Transient flowSteady-State (SS) flowPseudo-Steady State (PSS) flow
Radial Flow


Linear Flow





See also


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

Pressure diffusion ]

Radial Flow Pressure Diffusion @model ] [ Linear Flow Pressure Diffusion @model ]