Immiscible Phases • Earlier discussions have considered only a single fluid in the pores – porosity – permeability • Saturation: fraction of pore space occupied by a particular fluid (immiscible phases) Sw+So+Sg=1 – • When more than a single phase is present, the fluids interact with the rock, and with each other
DEFINITION OF INTERFACIAL TENSION • Interfacial (boundary) tension is the energy per unit area (force per unit distance) at the surface between phases • Commonly expressed in milliNewtons/meter (also, dynes/cm)
DEFINITION OF WETTABILITY • Wettability is the tendency of one fluid to spread on or adhere to a solid surface in the presence of other immiscible fluids. • Wettability refers to interaction between fluid and solid phases. • Reservoir rocks (sandstone, limestone, dolomite, etc.) are the solid surfaces • Oil, water, and/or gas are the fluids
DEFINITION OF ADHESION TENSION • Adhesion tension is expressed as the difference between two solid-fluid interfacial tensions.
AT = σ os − σ ws = − σ ow cos θ
• A negative adhesion tension indicates that the denser phase (water) preferentially wets the solid surface (and vice versa). • An adhesion tension of “0” indicates that both phases have equal affinity for the solid surface
CONTACT ANGLE Oil
σ ow Oil
σ os
θ
Water
Oil
σ ws
σ os
Solid
AT = adhesion tension, milli-Newtons/m or dynes/cm)
The contact angle, θ , measured through the denser liquid phase, defines which fluid wets the solid surface.
θ = contact angle between the oil/water/solid interface measured through the water, degrees σos = interfacial energy between the oil and solid, milli-Newtons/m or dynes/cm σws = interfacial energy between the water and solid, milli-Newtons/m or dynes/cm σ = interfacial energy (interfacial tension) between the oil and water, milli-Newtons/m or dynes/cm
OIL-WET RESERVOIR ROCK • Reservoir rock is oil-wet if oil preferentially wets the rock surfaces. • The rock is oil-wet under the following conditions: ∀ σ os > σ ws • AT > 0 (i.e., the adhesion tension is positive) • 90° < θ < 180° If θ is close to 180°, the rock is considered to be “strongly oil-wet”
OIL-WET ROCK Water
σ ow Oil
θ
σ os
σ ws
σ os Solid
• 90° < θ < 180° • The adhesion tension between water and the rock surface is less than that between oil and the rock surface.
WATER-WET
OIL-WET Air
OIL
θ
θ
θ
θ
WATER
θ < 90°
SOLID (ROCK)
FREE WATER
OIL
Oil
GRAIN
WATER
WATER
WATER
θ > 90°
SOLID (ROCK)
OIL GRAIN
OIL RIM BOUND WATER
FREE WATER Ayers, 2001
WATER-WET
OIL-WET Oil
Air
θ θ
WATER
WATER
WETTABILITY CLASSIFICATION • Strongly oil- or water-wetting • Neutral wettability – no preferential wettability to either water or oil in the pores • Fractional wettability – reservoir that has local areas that are strongly oil-wet, whereas most of the reservoir is strongly water-wet - Occurs where reservoir rock have variable mineral composition and surface chemistry • Mixed wettability – smaller pores area water-wet are filled with water, whereas larger pores are oil-wet and filled with oil - Residual oil saturation is low - Occurs where oil with polar organic compounds invades a water-wet rock saturated with brine
IMBIBITION • Imbibition is a fluid flow process in which the saturation of the wetting phase increases and the nonwetting phase saturation decreases. (e.g., waterflood of an oil reservoir that is water-wet).
• Mobility of wetting phase increases as wetting phase saturation increases – mobility is the fraction of total flow capacity for a particular phase
WATER-WET
OIL-WET Air
OIL
θ
θ
θ
θ
WATER
θ < 90°
SOLID (ROCK)
FREE WATER
OIL
Oil
GRAIN
WATER
WATER
WATER
θ > 90°
SOLID (ROCK)
OIL GRAIN
OIL RIM BOUND WATER
FREE WATER Ayers, 2001