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Physical models pf pressure diffusion can be split into two categories: Newtonian and Rheological (non-Newtonian) based on the fluid stress model.

Mathematical mdoels of pressure diffusion can be split into three categories: Linear, Pseudo-linear and Non-linear.

Solvers for the above problems can be Numerical, Analytical or Hybrid.

1DL pressure diffusion of low-compressibility fluid in infinite homogeneous reservoir	Fractured vertical well	Dual-porosity
1DR pressure diffusion of low-compressibility fluid	Limited entry well	Dual permeability
Line Source Solution (LSS)	Horizontal well	Anisotropic reservoir
Skin-factor	Multifrac horizontal well	Diffusion boundary
Wellbore storage	Slanted well	Multi-layer reservoir