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 storage | Well Trajectory | Well-Reservoir Contact | Reservoir | Boundary model | |
|---|---|---|---|---|---|
| Constant | Vertical well | Skin-factor | Unconstrained | ||
| Fair | Slanted well | Fractured vertical well | Dual-porosity | Infinite | |
| Rate-dependant | Dual-permeability | Fully constrained | |||
| Multifrac horizontal well | Anisotropic reservoir | Circle No Flow / Circle Constant Pi | |||
| Multi-layer reservoir | Rectangular No Flow / Rectangular Constant Pi | ||||
| Linear-composite | Partially 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 phases | Number of wells | Equation Linearity | Computation Sceme Computational Scheme | Spatial dimension |
|---|---|---|---|---|
| Single-phase | Single-well | Linear | Analytical | 0D |
| Multi-phase | Multi-well | Pseudo-Linear | Numerical | 1D |
| Non-Linearlinear | 2D | |||
| 3D |
The usual combinations are:
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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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See also
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Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Pressure Diffusion
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