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The table below shows a list of popular well and reservoir pressure diffusion models which in some cases maybe simulated with analytical methods.

Wellbore storage modelWell modelReservoir modelBoundary model
ConstantSkin-factor

Homogeneous

Infinite
Unconstrained
FairVertical wellDual-porosity
Circle No Flow

Infinite
Rate-dependant

Fractured vertical well

Dual-permeability
Circle Constant Pi
Fully constrained

Limited entry wellAnisotropic reservoir
Single fault

Circle No Flow / Circle Constant Pi

Horizontal wellMulti-layer reservoir
Parallel faults

Rectangular No Flow / Rectangular Constant Pi

Slanted wellLinear-composite
Intersecting Faults
Partially constrained

Multifrac horizontal well

Radial-composite
Single fault




Parallel faults




Intersecting Faults


See also

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Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Pressure Diffusion / Pressure Diffusion @model

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