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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: LinearPseudo-linear and Non-linear

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

Many popular 1DR solutions can be approximated by universal equation of 1DR pressure diffusion 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.


Wellbore storage modelWell modelReservoir modelBoundary model
ConstantSkin-factorHomogeneousInfinite
FairVertical wellDual-porosityCircle No Flow
Rate-dependant

Fractured vertical well

Dual-permeabilityCircle Constant Pi

Limited entry wellAnisotropic reservoirSingle fault

Horizontal wellMulti-layer reservoirParallel faults

Slanted wellLinear-compositeIntersecting Faults

Multifrac horizontal well

Radial-composite


See also


Pressure diffusion / Pressure Diffusion @model


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