transport phenomena in porous media-2&3-2

8/10/2019 Transport Phenomena in Porous Media-2&3-2

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SUST - College of Petroleum Engineering & Technology

Transport Phenomena in Porous Media, April 2010

Transport Phenomena in Porous

MediaDr. Tagwa Ahmed Musa

Assistant Reservoir Engineering Professor

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Course Objectives: To develop basic equations oftransport phenomena in porous media and their applications

in different areas of petroleum engineering.

Course Contents:Introduction1. Fundamental Properties in Porous Media: Porosity,

Capillary Properties, Permeability, Relative Permeability.

2. Equations of Single Phase Filtration

3. Solution of the single phase equation of filtration

4. Multi phase filtration

5. Piston-Like Displacement2


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References:

1. Fluid Flow in Porous Media (text book), by Zoltain E.

Heinemann, 2005

2. Flow and Transport in Porous Media, by Sahimi, 1995

VCH Publisher Inc.

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Chapter 2: Equations of Single

Phase FiltrationObjectives:

Development of diffusivity Equation in Cartesian & Polar

Coordinates

# Darcy Law

# Continuity Equation

# Equation of State

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An incompressible fluid is defined as the fluid whose

volume (or density) does not change with pressure:

1. Incompressiblefluids

incompressible fluids do not exists; this behavior,

however may be assumed in some cases to

simplify the derivation and the final form of mayflow equations.

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The slightly compressible fluids exhibit small changes involume, or density, with changes in pressure. Knowing thevolume of a slightly compressible liquid V

ref

at a reference(initial)pressure Pref,the changes in the volumetric behaviorof this fluid as af unction of pressure p can bemathematically described by:

2. Slightly compressible fluids

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it should be pointed out that the crude oil and

water systems fit into this category.

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these are fluids that experience large changes in

volume as a function of pressure. All gases are

considered compressible fluids. the isothermal

compressibility of any compressible fluid is

described by:

3. Compressible fluids

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ll f l h l


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SUST C ll f P l E i i & T h l


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SUST C ll f P l E i i & T h l


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SUST C ll f P t l E i i & T h l


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SUST C ll f P t l E i i & T h l


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SUST College of Petroleum Engineering & Technology


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SUS o ege o e o eu g ee g & ec o ogy




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g g g gy




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g g g gy


Review Appendix A from the book

End of the Chapter



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g g g gy


Chapter 3



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Velocity of mass filtration



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The End of Chapter 3

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Chapter 4

transport phenomena in porous media-2&3-2

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