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There is a large number of various pressure diffusion models.

Application-based classification

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The table below shows a list of Pressure Diffusion @model components and corresponding popular models which in some cases can be simulated with analytical methods to speed up the calculations.

Wellbore storageWell Trajectory Well-Reservoir Contact ReservoirBoundary model
ConstantVertical wellSkin-factor

Homogeneous

Unconstrained
FairSlanted wellFractured vertical wellDual-porosity
Infinite
Rate-dependant

Horizontal well

Limited entry well

Dual-permeabilityFully constrained


Multifrac horizontal wellAnisotropic reservoir
Circle No Flow / Circle Constant Pi



Multi-layer reservoir
Rectangular No Flow / Rectangular Constant Pi



Linear-compositePartially constrained



Radial-composite
Single fault





Parallel faults





Intersecting Faults


There is a number of specific pressure diffusion models which represent the key practical scenarios of pressure diffusion and play important academical and practical role:


Computation-based classification

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The popular classifications are summarized belowtable below shows the popular pressure diffusion models categories based on computation specifics:

Number of phasesNumber of wellsEquation LinearityComputational Scheme Spatial dimension
Single-phaseSingle-wellLinearAnalytical0D
Multi-phaseMulti-wellPseudo-LinearNumerical1D


Non-linear
2D




3D

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In some cases a pressure diffusion process can be fairly approximated by a hybrid model based on PDE with constant coefficients and PseudoPressure and PseudoTime.There is a number of specific pressure diffusion models which represent the key practical scenarios of pressure diffusion and play important academical and practical role:

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The  Pressure Diffusion @model consists of the following system components:

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Pressure Diffusion Well-Reservoir Contact @ model

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Pressure Diffusion Reservoir @model

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See also

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

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