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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 model
Wellbore storage
Boundary model
ConstantSkin-factor
Fractured vertical
HomogeneousInfinite
FairVertical wellDual-porosity
Limited entry
Circle No Flow
Rate-dependant

Fractured vertical well

Dual-permeability
Horizontal
Circle Constant Pi

Limited entry wellAnisotropic reservoir
Multifrac horizontal wellDiffusion boundary
Single fault

Horizontal wellMulti-layer reservoirParallel faults

Slanted well
Multi-layer reservoir
Linear-compositeIntersecting Faults

Multifrac horizontal well

Radial-composite


See also

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Pressure diffusion / Pressure Diffusion @model

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