\phi \cdot c_t \cdot \partial_t p -   \nabla  \left( M \cdot ( \nabla p - \rho \cdot \mathbf{g} )   \right)  - c \cdot M \cdot (\nabla p)^2  = \sum_k q({\bf r}) \cdot \delta({\bf r}-{\bf r}_k)

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

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

These models are built using Numerical, Analytical or Hybrid pressure diffusion solvers.

Many popular 1DR solutions can be approximated by Radial Flow Pressure Diffusion @model which has a big methodological value.

The simplest analytical solutions for pressure diffusion are given by 1DL Linear-Drive Solution (LDS) and 1DR Line Source Solution (LSS)

The table below shows a list of popular well and reservoir pressure diffusion models.

See also

Pressure diffusion / Pressure Diffusion @model