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Suez University 
Faculty of Petroleum & Mining Engineering 
Reservoir Mechanics 
Student 
Belal Farouk El-saied Ibrahim 
Class / III 
Section / Engineering Geology and Geophysics 
The Reference / Geology of Petroleum 
(A.J.Leversen) 
Presented to 
Prof. Dr. / Shouhdi E. Shalaby
Main Topics 
 Phase Relationships. 
 Interface Phenomena. 
Surface Tension. 
Interfacial Tension. 
Surface Free energy.
Phase Relationships. 
Pressure-Temperature Diagram 
Figure 1 shows a typical pressure-temperature diagram of a 
multicomponent system with a specific overall composition. 
Although a different hydrocarbon system would have a 
different phase diagram, the general configuration is similar. 
These multicomponent pressure-temperature diagrams are 
essentially 
used to: 
• Classify reservoirs 
• Classify the naturally occurring hydrocarbon systems 
• Describe the phase behavior of the reservoir fluid
Pressure-Temperature Diagram 
• Critical point—The critical point for a 
multicomponent mixture is referred to as 
the state of pressure and temperature at 
which all intensive properties of the gas 
and liquid phases are equal (point C). At 
the critical point, the corresponding 
pressure and temperature are called the 
critical pressure pc and critical temperature 
Tc of the mixture.
Pressure-Temperature Diagram 
• Bubble-point curve—The bubble-point 
curve (line BC) is defined as the line 
separating the liquid-phase region from the 
two-phase region. 
• Dew-point curve—The dew-point curve 
(line AC) is defined as the line separating the 
vapor-phase region from the two-phase 
region.
Pressure-Temperature Diagram 
• Oil reservoirs—If the reservoir temperature 
T is less than the critical temperature Tc of 
the reservoir fluid, the reservoir is classified 
as an oil reservoir. 
• Gas reservoirs—If the reservoir 
temperature is greater than the critical 
temperature of the hydrocarbon fluid, the 
reservoir is considered a gas reservoir.
Interfacial Phenomena 
 When phases exist together, the 
boundary between two of them is 
termed an interface. 
 The properties of the molecules 
forming the interface are often 
sufficiently from those in the bulk of 
each phase that they are referred to 
as forming an interfacial phase.
Interfacial Phenomena 
Several types of interface can exist, depending 
on whether the two adjacent phases are in the 
solid, liquid or gaseous state. 
For convenience, we shall divide these various 
combinations into two groups, namely liquid 
interfaces and solid interfaces.
Interfacial Phenomena 
Classification of Interfaces 
Interfacial Types & Examples of Interface 
Tension 
Phase 
- No interface possible Gas - gas 
Gas - solid ySV Solid surface, table top 
Liquid - liquid yLL Liquid-liquid interface, emulsion 
Liquid - solid yLS Liquid-solid interface, suspension 
Solid-solid interface, powder particles 
in contact. 
Solid - solid ySS 
Liquid surface, body of water exposed 
to atmosphere 
Gas - liquid уLV
Liquid Interfaces 
Surface and Interfacial Tension 
Surface 
 The term surface is customarily used when 
referring to either a gas-solid or a gas-liquid 
interface. 
 “Every surface is an interface.”
Liquid Interfaces 
 Surface tension-a 
force pulling 
the molecules of 
the interface 
together resulting 
in a contracted 
surface. 
- Force per unit 
area applied 
parallel to the 
surface.Unit in 
dynes/cm or N/m
Liquid Interfaces 
Interfacial 
tension 
 Is the force per 
unit length 
existing at the 
interface 
between two 
immiscible liquid 
phases and like 
surface tension, 
has the units of 
dyne/cm..
Liquid Interfaces 
 Surface Free 
energy – increase 
in energy of the 
liquid and the 
surface of the 
liquid increase. 
-work must be done 
to increase liquid 
surface. 
γ – surface tension or 
surface free energy 
per unit surface.
Liquid Interface 
 Surface Free energy 
W = γ Δ A 
where W is work done or surface free energy increase 
express in ergs(dyne.cm); γ is surface tension in 
dynes/cm and Δ A is increase in area in cm sq. 
What in the work required to increase area of a liquid 
droplet by 10 cm sq if the surface tension is 49 
dynes/cm? 
W = 49 dynes/cm x 10 cm sq = 490 ergs
Liquid Interfaces 
 When oleic acid is 
placed on the 
surface of a water , 
a film will be 
formed if the force 
of adhesion b/n 
oleic accid 
molecules and 
water molecules is 
greater than the 
cohesive forces b/n 
the oleic acid 
molecules 
themselves.
Liquid Interfaces 
 Work of adhesion(Wa), which is the energy 
required to break the attraction between the unlike 
molecules.(water to oil) 
 Work of cohesion(Wc), required to separate the 
molecules of the spreading liquid so that it can flow 
over the sublayer.(oil to oil and water to water) 
Spreading of oil to water occurs if the work of adhesion 
is greater than the work of cohesion. 
Spreading coefficient(S) – difference between Wa 
and Wc. 
Positive S – if oil spreads over a water surface.
Liquid Interfaces 
Surface and Interfacial Tension 
 When a drop of oil is added on the surface of 
water, three things may happen: 
1. The drop may spread as a thin film on the 
surface of water.(positve S) 
2. It may form a liquid lens if the oil cannot 
spread on the surface of water.(negative S) 
3. The drop may spread as a monolayer film 
with areas that are identified as lenses.
Liquid Interfaces 
Substance S (dynes/cm) 
50.4 
45.8 
45.5 
45.2 
42.4 
32 (250) 
24.6 
13 
8.9 
3.4 
0.22 
-3.19 
-13.4 
Ethyl alcohol 
Propionic acid 
Ethyl ether 
Acetic acid 
Acetone 
Undecyclenic acid 
Oleic acid 
Chloroform 
Benzene 
Hexane 
Octane 
Ethylene dibromide 
Liquid petrolatum 
Initial Spreading Coefficients, S, at 20◦ C
Wettability 
• Water and oil (or gas) in reservoirs coexist in an 
immiscible state (i.e., the water phase does not 
mix miscibly with the hydrocarbon phase). There 
is a natural and strong interfacial tension between 
the two fluids that keeps them separate, regardless 
of how small the individual droplets may be. A 
common example of this immiscible nature is a 
household salad dressing made of oil and vinegar.
• In all reservoirs connate water is immiscible with 
the oil or gas, but chemicals can be injected into 
the reservoir to reduce interfacial tension and make 
the water phase miscible with the oil. There are 
advantages in doing this, and it is a form of 
enhanced oil recovery. 
• The oil and gas phases in reservoirs also generally 
behave immiscibly. However, at certain pressures, 
temperatures, and compositions, they may become 
miscible.
• Wettability can be defined as the ability of a fluid 
phase to preferentially wet a solid surface in the 
presence of a second immiscible phase. In the 
reservoir context, it refers to the state of the rock 
and fluid system; i.e., whether the reservoir is 
water or oil wet. Three possible states of 
wettability in oil reservoirs exist as shown in 
Figure 2. The arrows represent the tangent to the 
angle between the water droplet and the rock 
surface. The water droplet is surrounded by the oil 
phase.
• Wettability is generally classified into three 
categories: (1) The reservoir is said to be 
water wet; that is, water preferentially wets 
the reservoir rock, when the contact angle  
between the rock and water is less than 90, 
(2) neutral wettability case would exist at a 
contact angle of 90, and (3) oil wet occurs 
at a contact angle greater than 90.
Figure 2 Three possible states of wettability in oil reservoirs. 
• Other lesser known types of wettability are: 
• Neutral or intermediate wettability – no 
preference is shown by the rock to either fluid; 
i.e., equally wet.
• Fractional wettability – heterogeneous wetting; i.e., 
portions of the rock are strongly oil wet, whereas other 
portions are strongly water wet. Occurs due to 
variation in minerals with different surface chemical 
properties. Silicate water interface is acidic, therefore 
basic constituents in oils will readily be absorbed 
resulting in an oil-wet surface. In contrast, the 
carbonate water interface is basic and will attract and 
absorb acid compounds. Since crude oils generally 
contain acidic polar compounds, there is a tendency for 
silicate rocks to be neutral to water-wet and carbonates 
to be neutral to oil-wet. 
• Mixed wettability – refers to small pores occupied by 
water and are water-wet, while larger pores are oil-wet 
and continuous. Subsequently, oil displacement occurs 
at very low oil saturations resulting in unusually low 
residual oil saturation.
• Figures 3and 4 represent microscopic views of 
water-wet and oil-wet systems, respectively. 
Figure 3 Microscopic fluid saturation distribution in a water-wet rock [Pirson, 1963]
Figure 4 Microscopic fluid saturation distribution in a oil-wet rock [Pirson, 1963]
• The contact angle is a measure of the wettability of the 
rock-fluid system, and is related to the interfacial 
energies by Young’s equation, 
• os - ws = ow cos (1) 
• where: 
• os = interfacial energy between oil and solid, dyne/cm; 
• ws = interfacial energy between water and solid, 
dyne/cm; 
• ow = interfacial energy, or interfacial tension, between 
oil and water, dyne/cm; 
• contact angle at oil-water-solid interface measured 
through the water phase, 
• deg.
• Figure 5 identifies the variables in Equation (1) 
Figure 5 Relationship of oil-water-solid interfacial tensions and contact angle

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Reservoir mechanics

  • 1. Suez University Faculty of Petroleum & Mining Engineering Reservoir Mechanics Student Belal Farouk El-saied Ibrahim Class / III Section / Engineering Geology and Geophysics The Reference / Geology of Petroleum (A.J.Leversen) Presented to Prof. Dr. / Shouhdi E. Shalaby
  • 2. Main Topics  Phase Relationships.  Interface Phenomena. Surface Tension. Interfacial Tension. Surface Free energy.
  • 3. Phase Relationships. Pressure-Temperature Diagram Figure 1 shows a typical pressure-temperature diagram of a multicomponent system with a specific overall composition. Although a different hydrocarbon system would have a different phase diagram, the general configuration is similar. These multicomponent pressure-temperature diagrams are essentially used to: • Classify reservoirs • Classify the naturally occurring hydrocarbon systems • Describe the phase behavior of the reservoir fluid
  • 4.
  • 5. Pressure-Temperature Diagram • Critical point—The critical point for a multicomponent mixture is referred to as the state of pressure and temperature at which all intensive properties of the gas and liquid phases are equal (point C). At the critical point, the corresponding pressure and temperature are called the critical pressure pc and critical temperature Tc of the mixture.
  • 6. Pressure-Temperature Diagram • Bubble-point curve—The bubble-point curve (line BC) is defined as the line separating the liquid-phase region from the two-phase region. • Dew-point curve—The dew-point curve (line AC) is defined as the line separating the vapor-phase region from the two-phase region.
  • 7. Pressure-Temperature Diagram • Oil reservoirs—If the reservoir temperature T is less than the critical temperature Tc of the reservoir fluid, the reservoir is classified as an oil reservoir. • Gas reservoirs—If the reservoir temperature is greater than the critical temperature of the hydrocarbon fluid, the reservoir is considered a gas reservoir.
  • 8. Interfacial Phenomena  When phases exist together, the boundary between two of them is termed an interface.  The properties of the molecules forming the interface are often sufficiently from those in the bulk of each phase that they are referred to as forming an interfacial phase.
  • 9. Interfacial Phenomena Several types of interface can exist, depending on whether the two adjacent phases are in the solid, liquid or gaseous state. For convenience, we shall divide these various combinations into two groups, namely liquid interfaces and solid interfaces.
  • 10. Interfacial Phenomena Classification of Interfaces Interfacial Types & Examples of Interface Tension Phase - No interface possible Gas - gas Gas - solid ySV Solid surface, table top Liquid - liquid yLL Liquid-liquid interface, emulsion Liquid - solid yLS Liquid-solid interface, suspension Solid-solid interface, powder particles in contact. Solid - solid ySS Liquid surface, body of water exposed to atmosphere Gas - liquid уLV
  • 11. Liquid Interfaces Surface and Interfacial Tension Surface  The term surface is customarily used when referring to either a gas-solid or a gas-liquid interface.  “Every surface is an interface.”
  • 12. Liquid Interfaces  Surface tension-a force pulling the molecules of the interface together resulting in a contracted surface. - Force per unit area applied parallel to the surface.Unit in dynes/cm or N/m
  • 13. Liquid Interfaces Interfacial tension  Is the force per unit length existing at the interface between two immiscible liquid phases and like surface tension, has the units of dyne/cm..
  • 14. Liquid Interfaces  Surface Free energy – increase in energy of the liquid and the surface of the liquid increase. -work must be done to increase liquid surface. γ – surface tension or surface free energy per unit surface.
  • 15. Liquid Interface  Surface Free energy W = γ Δ A where W is work done or surface free energy increase express in ergs(dyne.cm); γ is surface tension in dynes/cm and Δ A is increase in area in cm sq. What in the work required to increase area of a liquid droplet by 10 cm sq if the surface tension is 49 dynes/cm? W = 49 dynes/cm x 10 cm sq = 490 ergs
  • 16. Liquid Interfaces  When oleic acid is placed on the surface of a water , a film will be formed if the force of adhesion b/n oleic accid molecules and water molecules is greater than the cohesive forces b/n the oleic acid molecules themselves.
  • 17. Liquid Interfaces  Work of adhesion(Wa), which is the energy required to break the attraction between the unlike molecules.(water to oil)  Work of cohesion(Wc), required to separate the molecules of the spreading liquid so that it can flow over the sublayer.(oil to oil and water to water) Spreading of oil to water occurs if the work of adhesion is greater than the work of cohesion. Spreading coefficient(S) – difference between Wa and Wc. Positive S – if oil spreads over a water surface.
  • 18. Liquid Interfaces Surface and Interfacial Tension  When a drop of oil is added on the surface of water, three things may happen: 1. The drop may spread as a thin film on the surface of water.(positve S) 2. It may form a liquid lens if the oil cannot spread on the surface of water.(negative S) 3. The drop may spread as a monolayer film with areas that are identified as lenses.
  • 19. Liquid Interfaces Substance S (dynes/cm) 50.4 45.8 45.5 45.2 42.4 32 (250) 24.6 13 8.9 3.4 0.22 -3.19 -13.4 Ethyl alcohol Propionic acid Ethyl ether Acetic acid Acetone Undecyclenic acid Oleic acid Chloroform Benzene Hexane Octane Ethylene dibromide Liquid petrolatum Initial Spreading Coefficients, S, at 20◦ C
  • 20. Wettability • Water and oil (or gas) in reservoirs coexist in an immiscible state (i.e., the water phase does not mix miscibly with the hydrocarbon phase). There is a natural and strong interfacial tension between the two fluids that keeps them separate, regardless of how small the individual droplets may be. A common example of this immiscible nature is a household salad dressing made of oil and vinegar.
  • 21. • In all reservoirs connate water is immiscible with the oil or gas, but chemicals can be injected into the reservoir to reduce interfacial tension and make the water phase miscible with the oil. There are advantages in doing this, and it is a form of enhanced oil recovery. • The oil and gas phases in reservoirs also generally behave immiscibly. However, at certain pressures, temperatures, and compositions, they may become miscible.
  • 22. • Wettability can be defined as the ability of a fluid phase to preferentially wet a solid surface in the presence of a second immiscible phase. In the reservoir context, it refers to the state of the rock and fluid system; i.e., whether the reservoir is water or oil wet. Three possible states of wettability in oil reservoirs exist as shown in Figure 2. The arrows represent the tangent to the angle between the water droplet and the rock surface. The water droplet is surrounded by the oil phase.
  • 23. • Wettability is generally classified into three categories: (1) The reservoir is said to be water wet; that is, water preferentially wets the reservoir rock, when the contact angle  between the rock and water is less than 90, (2) neutral wettability case would exist at a contact angle of 90, and (3) oil wet occurs at a contact angle greater than 90.
  • 24. Figure 2 Three possible states of wettability in oil reservoirs. • Other lesser known types of wettability are: • Neutral or intermediate wettability – no preference is shown by the rock to either fluid; i.e., equally wet.
  • 25. • Fractional wettability – heterogeneous wetting; i.e., portions of the rock are strongly oil wet, whereas other portions are strongly water wet. Occurs due to variation in minerals with different surface chemical properties. Silicate water interface is acidic, therefore basic constituents in oils will readily be absorbed resulting in an oil-wet surface. In contrast, the carbonate water interface is basic and will attract and absorb acid compounds. Since crude oils generally contain acidic polar compounds, there is a tendency for silicate rocks to be neutral to water-wet and carbonates to be neutral to oil-wet. • Mixed wettability – refers to small pores occupied by water and are water-wet, while larger pores are oil-wet and continuous. Subsequently, oil displacement occurs at very low oil saturations resulting in unusually low residual oil saturation.
  • 26. • Figures 3and 4 represent microscopic views of water-wet and oil-wet systems, respectively. Figure 3 Microscopic fluid saturation distribution in a water-wet rock [Pirson, 1963]
  • 27. Figure 4 Microscopic fluid saturation distribution in a oil-wet rock [Pirson, 1963]
  • 28. • The contact angle is a measure of the wettability of the rock-fluid system, and is related to the interfacial energies by Young’s equation, • os - ws = ow cos (1) • where: • os = interfacial energy between oil and solid, dyne/cm; • ws = interfacial energy between water and solid, dyne/cm; • ow = interfacial energy, or interfacial tension, between oil and water, dyne/cm; • contact angle at oil-water-solid interface measured through the water phase, • deg.
  • 29. • Figure 5 identifies the variables in Equation (1) Figure 5 Relationship of oil-water-solid interfacial tensions and contact angle